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1,803.08267
|
Cross-infrastructure holistic experiment design for cyber-physical
energy system validation
|
Strong digitalization and shifting from unidirectional to bidirectional
topology have transformed the electrical grid into a cyber-physical energy
system, i.e. smart grid, with strong interdependency among various domains. It
is mandatory to develop a comprehensive and holistic validation approach for
such large scale system. However, a single research infrastructure may not have
sufficient expertise and equipment for such test, without huge or eventually
unfeasible investment. In this paper, we propose another adequate approach:
connecting existing and established infrastructures with complementary
specialization and facilities into a cross-infrastructure holistic experiment.
The proposition enables testing of CPES assessment research in near real-world
scenario without significant investment while efficiently exploiting the
existing infrastructures. Hybrid cloud based architecture is considered as the
support for such setup and the design of cross-infrastructure experiment is
also covered.
|
cs.SY
|
strong digitalization and shifting from unidirectional to bidirectional topology have transformed the electrical grid into a cyberphysical energy system ie smart grid with strong interdependency among various domains it is mandatory to develop a comprehensive and holistic validation approach for such large scale system however a single research infrastructure may not have sufficient expertise and equipment for such test without huge or eventually unfeasible investment in this paper we propose another adequate approach connecting existing and established infrastructures with complementary specialization and facilities into a crossinfrastructure holistic experiment the proposition enables testing of cpes assessment research in near realworld scenario without significant investment while efficiently exploiting the existing infrastructures hybrid cloud based architecture is considered as the support for such setup and the design of crossinfrastructure experiment is also covered
|
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|
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|
1,803.08268
|
Index and first Betti number of $f$-minimal hypersurfaces and
self-shrinkers
|
We study the Morse index of self-shrinkers for the mean curvature flow and,
more generally, of $f$-minimal hypersurfaces in a weighted Euclidean space
endowed with a convex weight. When the hypersurface is compact, we show that
the index is bounded from below by an affine function of its first Betti
number. When the first Betti number is large, this improves index estimates
known in literature. In the complete non-compact case, the lower bound is in
terms of the dimension of the space of weighted square summable $f$-harmonic
$1$-forms; in particular, in dimension $2$, the procedure gives an index
estimate in terms of the genus of the surface.
|
math.DG
|
we study the morse index of selfshrinkers for the mean curvature flow and more generally of fminimal hypersurfaces in a weighted euclidean space endowed with a convex weight when the hypersurface is compact we show that the index is bounded from below by an affine function of its first betti number when the first betti number is large this improves index estimates known in literature in the complete noncompact case the lower bound is in terms of the dimension of the space of weighted square summable fharmonic 1forms in particular in dimension 2 the procedure gives an index estimate in terms of the genus of the surface
|
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|
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|
1,803.08269
|
On the Expectation of a Persistence Diagram by the Persistence Weighted
Kernel
|
In topological data analysis, persistent homology characterizes robust
topological features in data and it has a summary representation, called a
persistence diagram. Statistical research for persistence diagrams have been
actively developed, and the persistence weighted kernel shows several
advantages over other statistical methods for persistence diagrams. If data is
drawn from some probability distribution, the corresponding persistence diagram
have randomness. Then, the expectation of the persistence diagram by the
persistence weighted kernel is well-defined. In this paper, we study
relationships between a probability distribution and the persistence weighted
kernel in the viewpoint of (1) the strong law of large numbers and the central
limit theorem, (2) a confidence interval to estimate the expectation of the
persistence weighted kernel numerically, and (3) the stability theorem to
ensure the continuity of the map from a probability distribution to the
expectation. In numerical experiments, we demonstrate our method gives an
interesting counterexample to a common view in topological data analysis.
|
math.AT math.ST stat.TH
|
in topological data analysis persistent homology characterizes robust topological features in data and it has a summary representation called a persistence diagram statistical research for persistence diagrams have been actively developed and the persistence weighted kernel shows several advantages over other statistical methods for persistence diagrams if data is drawn from some probability distribution the corresponding persistence diagram have randomness then the expectation of the persistence diagram by the persistence weighted kernel is welldefined in this paper we study relationships between a probability distribution and the persistence weighted kernel in the viewpoint of 1 the strong law of large numbers and the central limit theorem 2 a confidence interval to estimate the expectation of the persistence weighted kernel numerically and 3 the stability theorem to ensure the continuity of the map from a probability distribution to the expectation in numerical experiments we demonstrate our method gives an interesting counterexample to a common view in topological data analysis
|
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|
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|
1,803.0827
|
Rotation and magnetism in intermediate mass stars
|
Rotation and magnetism are increasingly recognized as important phenomena in
stellar evolution. Surface magnetic fields from a few to $20{,}000\,$G have
been observed and models have suggested that magnetohydrodynamic transport of
angular momentum and chemical composition could explain the peculiar
composition of some stars. Stellar remnants such as white dwarfs have been
observed with fields from a few to more than $10^{9}\,$G. We investigate the
origin of and the evolution, on thermal and nuclear rather than dynamical
time-scales, of an averaged large-scale magnetic field throughout a star's life
and its coupling to stellar rotation. Large-scale magnetic fields sustained
until late stages of stellar evolution with conservation of magnetic flux could
explain the very high fields observed in white dwarfs. We include these effects
in the Cambridge stellar evolution code using three time-dependant
advection-diffusion equations coupled to the structural and composition
equations of stars to model the evolution of angular momentum and the two
components of the magnetic field. We present the evolution in various cases for
a $3\rm\,M_{\odot}$ star from the beginning to the late stages of its life. Our
particular model assumes that turbulent motions, including convection, favour
small-scale field at the expense of large-scale field. As a result the
large-scale field concentrates in radiative zones of the star and so is
exchanged between the core and the envelope of the star as it evolves. The
field is sustained until the end of the asymptotic giant branch, when it
concentrates in the degenerate core.
|
astro-ph.SR
|
rotation and magnetism are increasingly recognized as important phenomena in stellar evolution surface magnetic fields from a few to 20000g have been observed and models have suggested that magnetohydrodynamic transport of angular momentum and chemical composition could explain the peculiar composition of some stars stellar remnants such as white dwarfs have been observed with fields from a few to more than 109g we investigate the origin of and the evolution on thermal and nuclear rather than dynamical timescales of an averaged largescale magnetic field throughout a stars life and its coupling to stellar rotation largescale magnetic fields sustained until late stages of stellar evolution with conservation of magnetic flux could explain the very high fields observed in white dwarfs we include these effects in the cambridge stellar evolution code using three timedependant advectiondiffusion equations coupled to the structural and composition equations of stars to model the evolution of angular momentum and the two components of the magnetic field we present the evolution in various cases for a 3rmm_odot star from the beginning to the late stages of its life our particular model assumes that turbulent motions including convection favour smallscale field at the expense of largescale field as a result the largescale field concentrates in radiative zones of the star and so is exchanged between the core and the envelope of the star as it evolves the field is sustained until the end of the asymptotic giant branch when it concentrates in the degenerate core
|
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|
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|
1,803.08271
|
Direct observation of electron density reconstruction at the
metal-insulator transition in NaOsO3
|
5d transition metal oxides offer new opportunities to test our understanding
of the interplay of correlation effects and spin-orbit interactions in
materials in the absence of a single dominant interaction. The subtle balance
between solid-state interactions can result in new mechanisms that minimize the
interaction energy, and in material properties of potential use for
applications. We focus here on the 5d transition metal oxide NaOsO3, a strong
candidate for the realization of a magnetically driven transition from a
metallic to an insulating state exploiting the so-called Slater mechanism.
Experimental results are derived from non-resonant and resonant x-ray single
crystal diffraction at the Os L-edges. A change in the crystallographic
symmetry does not accompany the metal-insulator transition in the Slater
mechanism and, indeed, we find no evidence of such a change in NaOsO3. An
equally important experimental observation is the emergence of the (300) Bragg
peak in the resonant condition with the onset of magnetic order. The intensity
of this space-group forbidden Bragg peak continuously increases with decreasing
temperature in line with the square of intensity observed for an allowed
magnetic Bragg peak. Our main experimental results, the absence of crystal
symmetry breaking and the emergence of a space-group forbidden Bragg peak with
developing magnetic order, support the use of the Slater mechanism to interpret
the metal-insulator transition in NaOsO3. We successfully describe our
experimental results with simulations of the electronic structure and, also,
with an atomic model based on the established symmetry of the crystal and
magnetic structure.
|
cond-mat.str-el
|
5d transition metal oxides offer new opportunities to test our understanding of the interplay of correlation effects and spinorbit interactions in materials in the absence of a single dominant interaction the subtle balance between solidstate interactions can result in new mechanisms that minimize the interaction energy and in material properties of potential use for applications we focus here on the 5d transition metal oxide naoso3 a strong candidate for the realization of a magnetically driven transition from a metallic to an insulating state exploiting the socalled slater mechanism experimental results are derived from nonresonant and resonant xray single crystal diffraction at the os ledges a change in the crystallographic symmetry does not accompany the metalinsulator transition in the slater mechanism and indeed we find no evidence of such a change in naoso3 an equally important experimental observation is the emergence of the 300 bragg peak in the resonant condition with the onset of magnetic order the intensity of this spacegroup forbidden bragg peak continuously increases with decreasing temperature in line with the square of intensity observed for an allowed magnetic bragg peak our main experimental results the absence of crystal symmetry breaking and the emergence of a spacegroup forbidden bragg peak with developing magnetic order support the use of the slater mechanism to interpret the metalinsulator transition in naoso3 we successfully describe our experimental results with simulations of the electronic structure and also with an atomic model based on the established symmetry of the crystal and magnetic structure
|
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|
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|
1,803.08272
|
On the Uniqueness of the Fock Quantization of the Dirac Field in the
Closed FRW Cosmology
|
The Fock quantization of free fields propagating in cosmological backgrounds
is in general not unambiguously defined due to the non-stationarity of the
spacetime. For the case of a scalar field in cosmological scenarios it is known
that the criterion of unitary implementation of the dynamics serves to remove
the ambiguity in the choice of Fock representation (up to unitary equivalence).
Here, applying the same type of arguments and methods previously used for the
scalar field case, we discuss the issue of the uniqueness of the Fock
quantization of the Dirac field in the closed FRW spacetime proposed by D'Eath
and Halliwell.
|
math-ph gr-qc hep-th math.MP
|
the fock quantization of free fields propagating in cosmological backgrounds is in general not unambiguously defined due to the nonstationarity of the spacetime for the case of a scalar field in cosmological scenarios it is known that the criterion of unitary implementation of the dynamics serves to remove the ambiguity in the choice of fock representation up to unitary equivalence here applying the same type of arguments and methods previously used for the scalar field case we discuss the issue of the uniqueness of the fock quantization of the dirac field in the closed frw spacetime proposed by death and halliwell
|
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|
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|
1,803.08273
|
A quantum algorithm for simulating non-sparse Hamiltonians
|
We present a quantum algorithm for simulating the dynamics of Hamiltonians
that are not necessarily sparse. Our algorithm is based on the input model
where the entries of the Hamiltonian are stored in a data structure in a
quantum random access memory (qRAM) which allows for the efficient preparation
of states that encode the rows of the Hamiltonian. We use a linear combination
of quantum walks to achieve poly-logarithmic dependence on precision. The time
complexity of our algorithm, measured in terms of the circuit depth, is
$O(t\sqrt{N}\|H\|\,\mathrm{polylog}(N, t\|H\|, 1/\epsilon))$, where $t$ is the
evolution time, $N$ is the dimension of the system, and $\epsilon$ is the error
in the final state, which we call precision. Our algorithm can be directly
applied as a subroutine for unitary implementation and quantum linear systems
solvers, achieving $\widetilde{O}(\sqrt{N})$ dependence for both applications.
|
quant-ph cs.DS
|
we present a quantum algorithm for simulating the dynamics of hamiltonians that are not necessarily sparse our algorithm is based on the input model where the entries of the hamiltonian are stored in a data structure in a quantum random access memory qram which allows for the efficient preparation of states that encode the rows of the hamiltonian we use a linear combination of quantum walks to achieve polylogarithmic dependence on precision the time complexity of our algorithm measured in terms of the circuit depth is otsqrtnhmathrmpolylogn th 1epsilon where t is the evolution time n is the dimension of the system and epsilon is the error in the final state which we call precision our algorithm can be directly applied as a subroutine for unitary implementation and quantum linear systems solvers achieving widetildeosqrtn dependence for both applications
|
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|
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|
1,803.08274
|
Superconformal Subcritical Hybrid Inflation
|
We consider D-term hybrid inflation in the framework of superconformal
supergravity. In part of the parameter space, inflation continues for
subcritical inflaton field value. Consequently, a new type of inflation
emerges, which gives predictions for the scalar spectral index and the
tensor-to-scalar ratio that are consistent with the Planck 2015 results. The
potential in the subcritical regime is found to have a similar structure to one
in the simplest class of superconformal alpha attractors.
|
astro-ph.CO hep-ph hep-th
|
we consider dterm hybrid inflation in the framework of superconformal supergravity in part of the parameter space inflation continues for subcritical inflaton field value consequently a new type of inflation emerges which gives predictions for the scalar spectral index and the tensortoscalar ratio that are consistent with the planck 2015 results the potential in the subcritical regime is found to have a similar structure to one in the simplest class of superconformal alpha attractors
|
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|
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|
1,803.08275
|
Matrix Product representation of the stationary state of the open Zero
Range Process
|
Many one-dimensional lattice particle models with open boundaries, like the
paradigmatic Asymmetric Simple Exclusion Process (ASEP), have their stationary
states represented in the form of a matrix product, with matrices that do not
explicitly depend on the lattice site. In contrast, the stationary state of the
open one-dimensional Zero-Range Process (ZRP) takes an inhomogeneous factorized
form, with site-dependent probability weights. We show that in spite of the
absence of correlations, the stationary state of the open ZRP can also be
represented in a matrix product form, where the matrices are site-independent,
non-commuting and determined from algebraic relations resulting from the master
equation. We recover the known distribution of the open ZRP in two different
ways: first, using an explicit representation of the matrices and boundary
vectors; second, from the sole knowledge of the algebraic relations satisfied
by these matrices and vectors. Finally, an interpretation of the relation
between the matrix product form and the inhomogeneous factorized form is
proposed within the framework of hidden Markov chains.
|
cond-mat.stat-mech
|
many onedimensional lattice particle models with open boundaries like the paradigmatic asymmetric simple exclusion process asep have their stationary states represented in the form of a matrix product with matrices that do not explicitly depend on the lattice site in contrast the stationary state of the open onedimensional zerorange process zrp takes an inhomogeneous factorized form with sitedependent probability weights we show that in spite of the absence of correlations the stationary state of the open zrp can also be represented in a matrix product form where the matrices are siteindependent noncommuting and determined from algebraic relations resulting from the master equation we recover the known distribution of the open zrp in two different ways first using an explicit representation of the matrices and boundary vectors second from the sole knowledge of the algebraic relations satisfied by these matrices and vectors finally an interpretation of the relation between the matrix product form and the inhomogeneous factorized form is proposed within the framework of hidden markov chains
|
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|
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|
1,803.08276
|
Speaker Clustering With Neural Networks And Audio Processing
|
Speaker clustering is the task of differentiating speakers in a recording. In
a way, the aim is to answer "who spoke when" in audio recordings. A common
method used in industry is feature extraction directly from the recording
thanks to MFCC features, and by using well-known techniques such as Gaussian
Mixture Models (GMM) and Hidden Markov Models (HMM). In this paper, we studied
neural networks (especially CNN) followed by clustering and audio processing in
the quest to reach similar accuracy to state-of-the-art methods.
|
cs.SD cs.LG eess.AS stat.ML
|
speaker clustering is the task of differentiating speakers in a recording in a way the aim is to answer who spoke when in audio recordings a common method used in industry is feature extraction directly from the recording thanks to mfcc features and by using wellknown techniques such as gaussian mixture models gmm and hidden markov models hmm in this paper we studied neural networks especially cnn followed by clustering and audio processing in the quest to reach similar accuracy to stateoftheart methods
|
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|
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|
1,803.08277
|
Synchronization of Coupled Oscillators: The Taylor Expansion of the
Inverse Kuramoto Map
|
Synchronization in the networks of coupled oscillators is a widely studied
topic in different areas. It is well-known that synchronization occurs if the
connectivity of the network dominates heterogeneity of the oscillators. Despite
extensive study on this topic, the quest for sharp closed-form synchronization
tests is still in vain. In this paper, we present an algorithm for finding the
Taylor expansion of the inverse Kuramoto map. We show that this Taylor series
can be used to obtain a hierarchy of increasingly accurate approximate tests
with low computational complexity. These approximate tests are then used to
estimate the threshold of synchronization as well as the position of the
synchronization manifold of the network.
|
math.OC cs.SY nlin.AO
|
synchronization in the networks of coupled oscillators is a widely studied topic in different areas it is wellknown that synchronization occurs if the connectivity of the network dominates heterogeneity of the oscillators despite extensive study on this topic the quest for sharp closedform synchronization tests is still in vain in this paper we present an algorithm for finding the taylor expansion of the inverse kuramoto map we show that this taylor series can be used to obtain a hierarchy of increasingly accurate approximate tests with low computational complexity these approximate tests are then used to estimate the threshold of synchronization as well as the position of the synchronization manifold of the network
|
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|
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|
1,803.08278
|
Liquid-solid surface phase transformation of fluorinated fullerene on
monolayer tungsten diselenide
|
Hybrid van der Waals (vdW) heterostructures constructed by the integration of
organic molecules and two-dimensional (2D) transition metal dichalcogenide
(TMD) materials have useful tunable properties for flexible electronic devices.
Due to the chemically inert and atomically smooth nature of the TMD surface,
well-defined crystalline organic films form atomically sharp interfaces
facilitating optimal device performance. Here, the surface phase transformation
of the supramolecular packing structure of fluorinated fullerene (C60F48) on
single-layer (SL) tungsten diselenide (WSe2) is revealed by low-temperature
(LT) scanning tunnelling microscopy (STM), from thermally stable liquid to
solid phases as the coverage increases. Statistical analysis of the
intermolecular interaction potential reveals that the repulsive dipole-dipole
interaction induced by interfacial charge transfer and substrate-mediated
interactions play important roles in stabilizing the liquid C60F48 phases.
Theoretical calculations further suggest that the dipole moment per C60F48
molecule varies with the surface molecule density, and the liquid-solid
transformation could be understood from the perspective of the thermodynamic
free energy for open systems. This study offers new insights into the growth
behaviour at 2D organic/TMD hybrid heterointerfaces.
|
physics.app-ph
|
hybrid van der waals vdw heterostructures constructed by the integration of organic molecules and twodimensional 2d transition metal dichalcogenide tmd materials have useful tunable properties for flexible electronic devices due to the chemically inert and atomically smooth nature of the tmd surface welldefined crystalline organic films form atomically sharp interfaces facilitating optimal device performance here the surface phase transformation of the supramolecular packing structure of fluorinated fullerene c60f48 on singlelayer sl tungsten diselenide wse2 is revealed by lowtemperature lt scanning tunnelling microscopy stm from thermally stable liquid to solid phases as the coverage increases statistical analysis of the intermolecular interaction potential reveals that the repulsive dipoledipole interaction induced by interfacial charge transfer and substratemediated interactions play important roles in stabilizing the liquid c60f48 phases theoretical calculations further suggest that the dipole moment per c60f48 molecule varies with the surface molecule density and the liquidsolid transformation could be understood from the perspective of the thermodynamic free energy for open systems this study offers new insights into the growth behaviour at 2d organictmd hybrid heterointerfaces
|
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|
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|
1,803.08279
|
Improper affine spheres and the Hessian one equation
|
Improper affine spheres have played an important role in the development of
geometric methods for the study of the Hessian one equation. Here, we review
most of the advances we have made in this direction during the last twenty
years.
|
math.DG
|
improper affine spheres have played an important role in the development of geometric methods for the study of the hessian one equation here we review most of the advances we have made in this direction during the last twenty years
|
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|
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|
1,803.0828
|
Energy and Centrality Dependent Study of Deconfinement Phase Transition
in a Color String Percolation Approach at RHIC Energies
|
We take the experimental data for transverse momentum spectra of identified
charged hadrons in different centrality classes for nucleus-nucleus (A+A)
collisions at various Relativistic Heavy-Ion Collider (RHIC) energies measured
by the STAR collaboration. We analyse these data in the framework of color
string percolation model (CSPM) in order to extract various percolation
parameters at different centralities at RHIC energies to study the effect of
collision geometry and collision energy. We use these parameters to study the
centrality dependent behaviour of initial temperature of the percolation
cluster, energy density, average transverse momentum, shear viscosity to
entropy density ratio ($\eta/s$) and trace anomaly for different energies at
RHIC from $\sqrt{s_{\rm NN}}$ = 19.6 to 200 GeV. These observables are found to
strongly depend on centrality at various collision energies. The critical
percolation density, which is related to the deconfinement phase transition is
achieved in the most central nucleus-nucleus collisions, while it fails in the
peripheral collisions. A universal scaling is observed in color suppression
factor and initial temperatures when studied as a function of charged particle
pseudorapidity distribution scaled by nuclear overlap area at RHIC energies.
The minimum of $\eta/s$ is observed in the most central collisions at
$\sqrt{s_{\rm NN}}$ = 130 and 200 GeV.
|
hep-ph hep-ex nucl-ex nucl-th
|
we take the experimental data for transverse momentum spectra of identified charged hadrons in different centrality classes for nucleusnucleus aa collisions at various relativistic heavyion collider rhic energies measured by the star collaboration we analyse these data in the framework of color string percolation model cspm in order to extract various percolation parameters at different centralities at rhic energies to study the effect of collision geometry and collision energy we use these parameters to study the centrality dependent behaviour of initial temperature of the percolation cluster energy density average transverse momentum shear viscosity to entropy density ratio etas and trace anomaly for different energies at rhic from sqrts_rm nn 196 to 200 gev these observables are found to strongly depend on centrality at various collision energies the critical percolation density which is related to the deconfinement phase transition is achieved in the most central nucleusnucleus collisions while it fails in the peripheral collisions a universal scaling is observed in color suppression factor and initial temperatures when studied as a function of charged particle pseudorapidity distribution scaled by nuclear overlap area at rhic energies the minimum of etas is observed in the most central collisions at sqrts_rm nn 130 and 200 gev
|
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|
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|
1,803.08281
|
Collisional radiative model for the M1 transition spectrum of the
highly-charged W$^{54+}$ ions
|
A detailed-level collisional-radiative model for the M1 transition spectrum
of the Ca-like W$^{54+}$ ion as observed in an electron beam ion trap (EBIT)
was constructed based on atomic data calculated by the relativistic
configuration interaction method and distorted wave theory. The present
calculated transition energy, rate and intensity of W$^{54+}$ M1 transitions
are compared with previous theoretical and experimental values. The results are
in reasonable agreement with the available experimental and theoretical data.
The synthetic spectrum explained the EBIT spectrum in the 12-20 nm region,
while a new possibly strong transition has been predicted to be observable with
an appropriate electron beam energy. The present work provides accurate atomic
data that may be used in plasma diagnostics applications.
|
physics.atom-ph physics.plasm-ph
|
a detailedlevel collisionalradiative model for the m1 transition spectrum of the calike w54 ion as observed in an electron beam ion trap ebit was constructed based on atomic data calculated by the relativistic configuration interaction method and distorted wave theory the present calculated transition energy rate and intensity of w54 m1 transitions are compared with previous theoretical and experimental values the results are in reasonable agreement with the available experimental and theoretical data the synthetic spectrum explained the ebit spectrum in the 1220 nm region while a new possibly strong transition has been predicted to be observable with an appropriate electron beam energy the present work provides accurate atomic data that may be used in plasma diagnostics applications
|
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|
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|
1,803.08282
|
Additional fermionic fields onto parallelizable 7-spheres
|
The geometric Fierz identities are here employed to generate new emergent
fermionic fields on the parallelizable (curvatureless, torsionfull) 7-sphere
($S^7$). Employing recently found new classes of spinor fields on the $S^7$
spin bundle, new classes of fermionic fields are obtained from their bilinear
covariants by a generalized reconstruction theorem, on the parallelizable
$S^7$. Using a generalized non-associative product on the octonionic bundle on
the parallelizable $S^7$, these new classes of algebraic spinor fields, lifted
onto the parallelizable $S^7$, are shown to correctly transform under the
Moufang loop generators on $S^7$.
|
hep-th math-ph math.MP
|
the geometric fierz identities are here employed to generate new emergent fermionic fields on the parallelizable curvatureless torsionfull 7sphere s7 employing recently found new classes of spinor fields on the s7 spin bundle new classes of fermionic fields are obtained from their bilinear covariants by a generalized reconstruction theorem on the parallelizable s7 using a generalized nonassociative product on the octonionic bundle on the parallelizable s7 these new classes of algebraic spinor fields lifted onto the parallelizable s7 are shown to correctly transform under the moufang loop generators on s7
|
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|
[-0.1504962656299029, 0.10166335426103533, -0.05708615496503503, 0.14741445365204905, -0.16684845966559028, -0.12599328986965538, -0.09004339590417536, 0.3814479070244713, -0.233798262642257, -0.22494178319616726, 0.10064441620717558, -0.18437940662915117, -0.15487270302065972, 0.25141674931569213, -0.07796517658581058, -0.026619729272016647, 0.013963115527137611, 0.040345231905642355, -0.19789438238995297, -0.31805651026170995, 0.3973927876566736, -0.01863458274152088, 0.2931805345167019, -0.019245132010592293, 0.20394808759264063, -0.004305558263460237, -0.04673989286667175, -0.049943935460923766, -0.08934264892340753, 0.15627167575464196, 0.219094398083542, 0.057585781168067056, 0.03363500340852175, -0.44770539300830176, -0.11334783307621989, 0.08984256994104788, 0.1410293765313756, 0.03669101424682676, -0.00035016572238940203, -0.35455715432344526, 0.01960553145140744, -0.11764177083550545, -0.09541381498422014, -0.2202898295533456, -0.044946298267420255, -0.06815598639358735, -0.19668644577725214, 0.01953506392290753, 0.04097274256074864, 0.07270093353234985, -0.04429791058188702, -0.14810326420100342, -0.1090364147427628, -0.012145283443623044, 0.00808165536335345, 0.03865443693808793, 0.16288187815232225, -0.05504811054626689, -0.16672868191348283, 0.3162384293973446, -0.02101044783308537, -0.28990044670828274, 0.1454226940090695, -0.03406882018708948, -0.23535597528948377, 0.18939785794302655, 0.15557446392525112, 0.18781349496141578, -0.10998129420076612, 0.2121441149142351, -0.09071926957289322, 0.04967111413984486, 0.10047118482441547, 0.033268873987907774, 0.18821848230044033, 0.03408993799448683, 0.019582891219368813, 0.13740672989816435, -0.011819066171105324, -0.13567682765842823, -0.37599894483939983, -0.18467661021068021, -0.14551702019329485, 0.1752423694399133, -0.10153454603376182, -0.1368841717573631, 0.4246340535183469, 0.029121345270090224, 0.1539599379178715, 0.06547025148233587, 0.20737309885744967, 0.049073080040430754, 0.17225135924501261, 0.055944658060142184, 0.1784808014289298, 0.224522552016097, 0.08025422214080444, -0.1321169696408167, -0.19280862938508056, 0.18643862961299634]
|
1,803.08283
|
Derivation of spontaneously broken gauge symmetry from the consistency
of effective field theory I: Massive vector bosons coupled to a scalar field
|
We revisit the problem of deriving local gauge invariance with spontaneous
symmetry breaking in the context of an effective field theory. Previous
derivations were based on the condition of tree-order unitarity. However, the
modern point of view considers the Standard Model as the leading order
approximation to an effective field theory. As tree-order unitarity is in any
case violated by higher-order terms in an effective field theory, it is
instructive to investigate a formalism which can be also applied to analyze
higher-order interactions. In the current work we consider an effective field
theory of massive vector bosons interacting with a massive scalar field. We
impose the conditions of generating the right number of constraints for systems
with spin-one particles and perturbative renormalizability as well as the
separation of scales at one-loop order. We find that the above conditions
impose severe restrictions on the coupling constants of the interaction terms.
Except for the strengths of the self-interactions of the scalar field, that can
not be determined at this order from the analysis of three- and four-point
functions, we recover the gauge-invariant Lagrangian with spontaneous symmetry
breaking taken in the unitary gauge as the leading order approximation to an
effective field theory. We also outline the additional work that is required to
finish this program.
|
hep-th hep-lat hep-ph nucl-th
|
we revisit the problem of deriving local gauge invariance with spontaneous symmetry breaking in the context of an effective field theory previous derivations were based on the condition of treeorder unitarity however the modern point of view considers the standard model as the leading order approximation to an effective field theory as treeorder unitarity is in any case violated by higherorder terms in an effective field theory it is instructive to investigate a formalism which can be also applied to analyze higherorder interactions in the current work we consider an effective field theory of massive vector bosons interacting with a massive scalar field we impose the conditions of generating the right number of constraints for systems with spinone particles and perturbative renormalizability as well as the separation of scales at oneloop order we find that the above conditions impose severe restrictions on the coupling constants of the interaction terms except for the strengths of the selfinteractions of the scalar field that can not be determined at this order from the analysis of three and fourpoint functions we recover the gaugeinvariant lagrangian with spontaneous symmetry breaking taken in the unitary gauge as the leading order approximation to an effective field theory we also outline the additional work that is required to finish this program
|
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|
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|
1,803.08284
|
A note on nilpotent subgroups of automorphism groups of RAAGs
|
We observe that automorphism groups of right-angled Artin groups contain
nilpotent non-abelian subgroups, namely $H_3(\mathbb{Z})$ the three-dimensional
integer Heisenberg group, provided they admit a certain type of element, called
an adjacent transvection. This represents a (minor) extension of a result of
Charney-Vogtmann.
|
math.GR
|
we observe that automorphism groups of rightangled artin groups contain nilpotent nonabelian subgroups namely h_3mathbbz the threedimensional integer heisenberg group provided they admit a certain type of element called an adjacent transvection this represents a minor extension of a result of charneyvogtmann
|
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|
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|
1,803.08285
|
Very fast stochastic gravitational wave background map making using
folded data
|
A stochastic gravitational-wave background (SGWB) is expected from the
superposition of a wide variety of independent and unresolved astrophysical and
cosmological sources from different stages in the evolution of the Universe.
Radiometric techniques are used to make sky maps of anisotropies in the SGWB by
cross-correlating data from pairs of detectors. The conventional searches can
be made hundreds of times faster through the folding mechanism introduced
recently. Here we present a newly developed algorithm to perform the SGWB
searches in a highly efficient way. Taking advantage of the compactness of the
folded data we replaced the loops in the pipeline with matrix multiplications.
We also incorporated well-known HEALPix pixelization tools for further
standardization and optimization. Our Python-based implementation of the
algorithm is available as an open source package ${\tt PyStoch}$. Folding and
${\tt PyStoch}$ together has made the radiometer analysis $\textit{a few
thousand times}$ faster; it is now possible to make all-sky maps of a
stochastic background in just a few minutes on an ordinary laptop. Moreover,
${\tt PyStoch}$ generates a skymap at every frequency bin as an intermediate
data product. These techniques have turned SGWB searches very convenient and
will make computationally challenging analyses like blind all-sky narrowband
search feasible.
|
gr-qc astro-ph.IM
|
a stochastic gravitationalwave background sgwb is expected from the superposition of a wide variety of independent and unresolved astrophysical and cosmological sources from different stages in the evolution of the universe radiometric techniques are used to make sky maps of anisotropies in the sgwb by crosscorrelating data from pairs of detectors the conventional searches can be made hundreds of times faster through the folding mechanism introduced recently here we present a newly developed algorithm to perform the sgwb searches in a highly efficient way taking advantage of the compactness of the folded data we replaced the loops in the pipeline with matrix multiplications we also incorporated wellknown healpix pixelization tools for further standardization and optimization our pythonbased implementation of the algorithm is available as an open source package tt pystoch folding and tt pystoch together has made the radiometer analysis textita few thousand times faster it is now possible to make allsky maps of a stochastic background in just a few minutes on an ordinary laptop moreover tt pystoch generates a skymap at every frequency bin as an intermediate data product these techniques have turned sgwb searches very convenient and will make computationally challenging analyses like blind allsky narrowband search feasible
|
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|
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|
1,803.08286
|
The Harborth Constant of Dihedral Groups
|
The Harborth constant of a finite group $G$, denoted $\gs(G)$, is the
smallest integer $k$ such that the following holds: For $A\subseteq G$ with
$|A|=k$, there exists $B\subseteq A$ with $|B|=\exp(G)$ such that the elements
of $B$ can be rearranged into a sequence whose product equals $1_G$, the
identity element of $G$. The Harborth constant is a well studied combinatorial
invariant in the case of abelian groups. In this paper, we consider a
generalization $\gs(G)$ of this combinatorial invariant for nonabelian groups
and prove that if $G$ is a dihedral group of order $2n$ with $n\ge 3$, then
$\gs(G) = n + 2$ if $n$ is even and $\gs(G) = 2n + 1$ otherwise.
|
math.CO
|
the harborth constant of a finite group g denoted gsg is the smallest integer k such that the following holds for asubseteq g with ak there exists bsubseteq a with bexpg such that the elements of b can be rearranged into a sequence whose product equals 1_g the identity element of g the harborth constant is a well studied combinatorial invariant in the case of abelian groups in this paper we consider a generalization gsg of this combinatorial invariant for nonabelian groups and prove that if g is a dihedral group of order 2n with nge 3 then gsg n 2 if n is even and gsg 2n 1 otherwise
|
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|
[-0.2213584631425115, 0.19849296335404346, -0.05657622359966466, 0.007464668989061899, -0.0682829168172331, -0.18584665774000347, -0.006224742303431513, 0.33774702599562634, -0.2939333822407307, -0.25501656959312885, 0.09709919796649948, -0.2755102457803324, -0.14435791465616143, 0.10028537037278261, -0.06525223372838408, -0.048511597540426075, 0.009646342904947766, 0.175625923508351, -0.05273194191536819, -0.2620829770858442, 0.34127232076924874, -0.11845955503848168, 0.13517262054091414, 0.029158354523258472, 0.11618830032920072, 0.014617318321668774, 0.02384258804996626, 0.05062107878540634, -0.15210235172581224, 0.058442966673424926, 0.26949736569076777, 0.09638152687400238, 0.23334140002454093, -0.31722307611051775, -0.15453471135724028, 0.2314188551337142, 0.1509362399031263, -0.01428670723230467, -0.047458398707505796, -0.1953417150957356, 0.20203381920967106, -0.1746264052088159, -0.13881734489151404, 0.018446144955489067, 0.17579763090460127, -0.03501557125154575, -0.323479663683187, -0.006680256532240283, 0.10982329884027088, 0.06537017797041415, 0.031118001532527285, -0.17729356903753696, -0.02592099023824814, 0.09913521243148235, -0.020839229043479155, 0.09592193242059935, 0.01105619420579404, -0.05729035920796728, -0.11100075595132118, 0.44814294704808555, -0.0824209621537652, -0.21370473862924708, 0.07788343342243258, -0.16521880708190553, -0.1934263299672155, 0.09964523772034076, 0.04873432016743501, 0.1801218191213017, 0.005003814215968371, 0.2226110273628248, -0.18789606063344746, 0.15180857345427667, 0.08586073935100245, -0.02819089383450807, 0.10333661547725286, 0.10531576326407424, 0.12063188192545685, 0.12774301372327493, 0.041045641248891936, 0.07378046798339293, -0.3540374999011465, -0.19022857495199103, -0.2016415458915909, 0.16911734080950327, -0.1283949050182421, -0.16991955864268843, 0.3479887697794432, 0.03261686767314757, 0.15648522499709502, 0.09232570870924707, 0.19822471919832665, 0.08248468523486219, 0.046760760515249, 0.11846551442638449, 0.07312727020199009, 0.19820654784423222, -0.11049432097720581, -0.18895924335384076, -0.022736810583518733, 0.18585906352916168]
|
1,803.08287
|
Learning-based Model Predictive Control for Safe Exploration
|
Learning-based methods have been successful in solving complex control tasks
without significant prior knowledge about the system. However, these methods
typically do not provide any safety guarantees, which prevents their use in
safety-critical, real-world applications. In this paper, we present a
learning-based model predictive control scheme that can provide provable
high-probability safety guarantees. To this end, we exploit regularity
assumptions on the dynamics in terms of a Gaussian process prior to construct
provably accurate confidence intervals on predicted trajectories. Unlike
previous approaches, we do not assume that model uncertainties are independent.
Based on these predictions, we guarantee that trajectories satisfy safety
constraints. Moreover, we use a terminal set constraint to recursively
guarantee the existence of safe control actions at every iteration. In our
experiments, we show that the resulting algorithm can be used to safely and
efficiently explore and learn about dynamic systems.
|
cs.SY cs.AI cs.LG cs.RO
|
learningbased methods have been successful in solving complex control tasks without significant prior knowledge about the system however these methods typically do not provide any safety guarantees which prevents their use in safetycritical realworld applications in this paper we present a learningbased model predictive control scheme that can provide provable highprobability safety guarantees to this end we exploit regularity assumptions on the dynamics in terms of a gaussian process prior to construct provably accurate confidence intervals on predicted trajectories unlike previous approaches we do not assume that model uncertainties are independent based on these predictions we guarantee that trajectories satisfy safety constraints moreover we use a terminal set constraint to recursively guarantee the existence of safe control actions at every iteration in our experiments we show that the resulting algorithm can be used to safely and efficiently explore and learn about dynamic systems
|
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|
[-0.0925532594661821, -0.010787762630685278, -0.13500367550478948, 0.08229015725939805, -0.12056022875297528, -0.1665606357424253, 0.09286332775112502, 0.44465877694709527, -0.23418055177776964, -0.3364077380930002, 0.12958518186735943, -0.21570773457561235, -0.1454795706037015, 0.19992363343334438, -0.1601301112335983, 0.14292080190449535, 0.119644516400042, 0.042773888624269986, -0.0795858910541747, -0.2699858353496041, 0.2720264717676006, -0.011275992982766846, 0.29291566474350184, 0.04284280121091988, 0.12185791283976156, -0.0022468496182399406, 0.012291737796308903, 0.01427620219415171, -0.13300120338416574, 0.13435995368567016, 0.28776001172153265, 0.22340949973895605, 0.3350695088714153, -0.46915945929366853, -0.24270725874816412, 0.16105671391099483, 0.16355723083683557, 0.1274621916822503, -0.024233213813903812, -0.260335254762973, 0.15126307614772885, -0.15924522454583354, -0.07975892818018378, -0.184308564208995, -0.08967947510520478, 0.02442307722302141, -0.31539358732687844, 0.0057953576137266165, 0.08115552661539921, 0.032723037038369665, -0.06194242013706272, -0.0686456364493205, 0.024411175263251043, 0.14850236102938652, 0.023071847489499323, -0.005879273921433654, 0.14972572502398446, -0.09865648178644218, -0.16289797973643233, 0.34891719010925587, -0.03220226841822423, -0.23983712975013924, 0.21422903940335594, -0.07586184574186906, -0.22040969184502127, 0.12137695724287859, 0.24938399426030952, 0.14629602876420206, -0.18400882594808415, 0.06829805912081986, -0.03526254469151055, 0.21142970861124616, 0.029456474409614512, 0.03780530079127895, 0.1557340982363566, 0.15354212037600265, 0.12094881340138405, 0.04482722924037192, -0.007749297595875976, -0.10510253716729112, -0.2901734080869001, -0.07795567815918622, -0.11543518710080404, -0.017593346203805982, -0.06828451511214839, -0.13707240249025815, 0.33994597356718737, 0.2956156968936923, 0.1815100296765201, 0.13368599446265717, 0.35612317345632644, 0.0987594824812865, 0.044498735167724374, 0.1418121978314919, 0.24623540389657647, 0.01758747775159724, 0.07935068395210208, -0.1644611927205241, 0.163115067907342, 0.026831563125800838]
|
1,803.08288
|
Mode Switching Decentralized Multi-Agent Coordination under Local
Temporal Logic Tasks
|
This paper presents a novel control strategy for the coordination of a
multi-agent system subject to high-level goals expressed as linear temporal
logic formulas. In particular, each agent, which is modeled as a sphere with
2nd order dynamics, has to satisfy a given local temporal logic specification
subject to connectivity maintenance and inter-agent collision avoidance. We
propose a novel continuous control protocol that guarantees navigation of one
agent to a goal point, up to a set of collision-free initial configurations,
while maintaining connectivity of the initial neighboring set and avoiding
inter-agent collisions. Based on that, we develop a hybrid switching control
strategy that ensures that each agent satisfies its temporal logic task.
Simulation results depict the validity of the proposed scheme.
|
cs.SY
|
this paper presents a novel control strategy for the coordination of a multiagent system subject to highlevel goals expressed as linear temporal logic formulas in particular each agent which is modeled as a sphere with 2nd order dynamics has to satisfy a given local temporal logic specification subject to connectivity maintenance and interagent collision avoidance we propose a novel continuous control protocol that guarantees navigation of one agent to a goal point up to a set of collisionfree initial configurations while maintaining connectivity of the initial neighboring set and avoiding interagent collisions based on that we develop a hybrid switching control strategy that ensures that each agent satisfies its temporal logic task simulation results depict the validity of the proposed scheme
|
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|
[-0.20158200129608755, 0.015752349283607785, -0.09758934169461227, -0.0012933625038693975, -0.10897565365207097, -0.1907324590797205, 0.08973132497303896, 0.4112958813698054, -0.2847072463328681, -0.30472769006347855, 0.053986233608096776, -0.17900201991731532, -0.14340641443552218, 0.10046652263061197, -0.12428334515004454, 0.11652472036773308, 0.06449614337468443, 0.07452945984430488, 0.0008555933263553076, -0.20825152217953136, 0.26914155752251834, 0.03190710776570169, 0.2837357706109385, 0.004442082525592698, 0.2091356771574779, 0.08014917740606017, 0.049344058625769516, 0.0431914493539717, -0.10527905164606877, 0.13526464126304694, 0.28641935558758735, 0.21183576963241557, 0.3757711956508396, -0.45631081286109676, -0.16816076443892372, 0.09689503064964058, 0.08087173135747194, 0.08124854622027752, -0.03611825703554748, -0.28966357246472324, 0.13330666471103375, -0.2014726168622286, -0.1063864463863294, -0.08206889004454263, -0.006998073017178488, 0.06802025772121251, -0.33345261412434096, -0.033531246071850714, 0.09607851406374623, 0.054868427974995505, -0.08199992121585976, 0.000616243360217753, -0.015300749219984802, 0.150179271268743, -0.044102669091248686, 0.04101552273058294, 0.15255520326154662, -0.08701052315329194, -0.19907937507522255, 0.3958096389220027, 0.03503951156407995, -0.21945632455297093, 0.18886228785311326, -0.049420486512201385, -0.16574238954027268, 0.10195297576209977, 0.20850040368381734, 0.10326814835444709, -0.20017623010068392, 0.03543168139232184, -0.009955602045717441, 0.21764535884962663, 0.059424799459039675, 0.05490849394936207, 0.17183450671020617, 0.2575688000810756, 0.1828476282467773, 0.1327189330823627, -0.016238792737838157, -0.17022089422334077, -0.327810481221469, -0.0782484319445885, -0.1501343298553343, -0.0334563040490116, -0.06804748460210759, -0.14042618403534504, 0.38836786425623765, 0.1841551971983565, 0.16877235956336104, 0.13255377925936257, 0.3385095299059941, 0.10231775662708789, 0.03798259905931994, 0.07523300241215217, 0.1471524729031669, 0.06271246111805527, 0.14660650705783973, -0.23797585558500295, 0.1402734017426779, 0.08844461801369513]
|
1,803.08289
|
Symmetry regimes for circular photocurrents in monolayer MoSe2
|
In monolayer transition metal dichalcogenides helicity-dependent charge and
spin photocurrents can emerge, even without applying any electrical bias, due
to circular photogalvanic and photon drag effects. Exploiting such circular
photocurrents (CPC) in devices, however, requires better understanding of their
behavior and physical origin. Here, we present symmetry, spectral, and
electrical characteristics of CPC from excitonic interband transitions in a
MoSe2 monolayer. The dependence on bias and gate voltages reveals two different
CPC contributions, dominant at different voltages and with different dependence
on illumination wavelength and incidence angles. We theoretically analyze
symmetry requirements for effects that can yield CPC and compare these with the
observed angular dependence and symmetries that occur for our device geometry.
This reveals that the observed CPC effects require a reduced device symmetry,
and that effects due to Berry curvature of the electronic states do not give a
significant contribution.
|
cond-mat.mtrl-sci
|
in monolayer transition metal dichalcogenides helicitydependent charge and spin photocurrents can emerge even without applying any electrical bias due to circular photogalvanic and photon drag effects exploiting such circular photocurrents cpc in devices however requires better understanding of their behavior and physical origin here we present symmetry spectral and electrical characteristics of cpc from excitonic interband transitions in a mose2 monolayer the dependence on bias and gate voltages reveals two different cpc contributions dominant at different voltages and with different dependence on illumination wavelength and incidence angles we theoretically analyze symmetry requirements for effects that can yield cpc and compare these with the observed angular dependence and symmetries that occur for our device geometry this reveals that the observed cpc effects require a reduced device symmetry and that effects due to berry curvature of the electronic states do not give a significant contribution
|
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|
[-0.15551637934677146, 0.17534979641880397, -0.07516925914499623, 0.043863844278698355, -0.0800039551865596, -0.1828454538977907, 0.11128047630158286, 0.4416366994797767, -0.24592637001061357, -0.3372238538638278, -0.017899514477980043, -0.2888190095065409, -0.17702073991702466, 0.19687976378546962, 0.0006509665074152547, 0.01615001128699917, -0.027206033024565687, -0.12783726589376485, -0.11072226904065616, -0.13594726782611252, 0.28059503727533913, 0.017275729275249934, 0.35627478976909827, 0.1584925958137777, 0.06115484631040713, 0.02142699927716822, 0.05260745566370864, 0.03169176787450597, -0.1009713234715701, 0.010995756686173405, 0.2425768997787231, -0.07316002835213513, 0.14778686600405125, -0.48150225679253367, -0.17978538063817195, 0.028957391725983342, 0.09768619314422244, 0.16838354093732533, -0.09989766034922869, -0.2533188134536043, 0.04308407084195764, -0.12729739111203414, -0.061603421272797075, -0.08783680609577185, 0.020665770390077488, -0.027087414145495717, -0.2355318853853049, 0.08854258700006909, 0.08108008752244857, 0.07786197012772302, -0.02966238582847474, -0.146158130419395, -0.10854738948612729, 0.0999828244272906, 0.05195937253586896, -0.051477312717677935, 0.2182661796426661, -0.10543926308498151, -0.1533480153347437, 0.3818700489412238, -0.035635774787450274, -0.15004366804142255, 0.14524846053291504, -0.2170989912547093, -0.06213671833576335, 0.14958520775817177, 0.18007637544085722, 0.06910265268700139, -0.10998652627287836, 0.04773757030936675, 0.0684403530004519, 0.1690134621336014, 0.08072790953329068, 0.171025974343863, 0.23528111416038933, 0.11102872695838967, 0.03998966980888345, 0.12338046237852399, -0.11989394450638365, -0.010909631087972256, -0.2561570696949542, -0.1080354887575328, -0.13016461525959047, 0.11697188641241396, -0.06671990357706538, -0.15200154547794506, 0.46907358144416467, 0.17623013235837012, 0.1837970331845271, -0.00981933994453166, 0.2914361831719069, 0.11543020951419977, 0.10111315438883718, 0.011712725074608465, 0.2827574531726826, 0.1378299549699865, 0.1126938488829386, -0.3052565201618741, 0.10556181060098163, -0.062490620059319414]
|
1,803.0829
|
Machine learning classification for field distributions of photonic
modes
|
Machine learning techniques can reveal hidden structure in large data amounts
and can potentially extent or even replace analytical scientific methods. In
nanophotonics, modes can increase the light yield from emitters located inside
the nanostructure or near the surface. Optimizing such systems enforces to
systematically analyze large amounts of three-dimensional field distribution
data. We present a method based on finite element simulations and machine
learning for the identification of modes with large field energies and specific
spatial properties. By clustering we reduce the field distribution data to a
minimal subset of prototypes. The predictive power of the approach is
demonstrated using an analysis of experimentally measured fluorescence
enhancement of quantum dots on a photonic crystal surface. The clustering
method can be used for any optimization task that depends on three-dimensional
field data, and is therefore relevant for biosensing, quantum dot solar cells
or photon upconversion.
|
physics.optics physics.comp-ph physics.data-an
|
machine learning techniques can reveal hidden structure in large data amounts and can potentially extent or even replace analytical scientific methods in nanophotonics modes can increase the light yield from emitters located inside the nanostructure or near the surface optimizing such systems enforces to systematically analyze large amounts of threedimensional field distribution data we present a method based on finite element simulations and machine learning for the identification of modes with large field energies and specific spatial properties by clustering we reduce the field distribution data to a minimal subset of prototypes the predictive power of the approach is demonstrated using an analysis of experimentally measured fluorescence enhancement of quantum dots on a photonic crystal surface the clustering method can be used for any optimization task that depends on threedimensional field data and is therefore relevant for biosensing quantum dot solar cells or photon upconversion
|
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|
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|
1,803.08291
|
On a coupled bulk-surface Allen-Cahn system with an affine linear
transmission condition and its approximation by a Robin boundary condition
|
We study a coupled bulk-surface Allen-Cahn system with an affine linear
transmission condition, that is, the trace values of the bulk variable and the
values of the surface variable are connected via an affine relation, and this
serves to generalize the usual dynamic boundary conditions. We tackle the
problem of well-posedness via a penalization method using Robin boundary
conditions. In particular, for the relaxation problem, the strong
well-posedness and long-time behavior of solutions can be shown for more
general and possibly nonlinear relations. New difficulties arise since the
surface variable is no longer the trace of the bulk variable, and uniform
estimates in the relaxation parameter are scarce. Nevertheless, weak
convergence to the original problem can be shown. Using the approach of Colli
and Fukao (Math. Models Appl. Sci. 2015), we show strong existence to the
original problem with affine linear relations, and derive an error estimate
between solutions to the relaxed and original problems.
|
math.AP
|
we study a coupled bulksurface allencahn system with an affine linear transmission condition that is the trace values of the bulk variable and the values of the surface variable are connected via an affine relation and this serves to generalize the usual dynamic boundary conditions we tackle the problem of wellposedness via a penalization method using robin boundary conditions in particular for the relaxation problem the strong wellposedness and longtime behavior of solutions can be shown for more general and possibly nonlinear relations new difficulties arise since the surface variable is no longer the trace of the bulk variable and uniform estimates in the relaxation parameter are scarce nevertheless weak convergence to the original problem can be shown using the approach of colli and fukao math models appl sci 2015 we show strong existence to the original problem with affine linear relations and derive an error estimate between solutions to the relaxed and original problems
|
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|
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|
1,803.08292
|
Tuning magnetocrystalline anisotropy of Fe$_{3}$Sn by alloying
|
The electronic structure, magnetic properties and phase formation of
hexagonal ferromagnetic Fe$_{3}$Sn-based alloys have been studied from first
principles and by experiment. The pristine Fe$_{3}$Sn compound is known to
fulfill all the requirements for a good permanent magnet, except for the
magnetocrystalline anisotropy energy (MAE). The latter is large, but planar,
i.e. the easy magnetization axis is not along the hexagonal c direction,
whereas a good permanent magnet requires the MAE to be uniaxial. Here we
consider Fe$_{3}$Sn$_{0.75}$M$_{0.25}$, where M= Si, P, Ga, Ge, As, Se, In, Sb,
Te and Bi, and show how different dopants on the Sn sublattice affect the MAE
and can alter it from planar to uniaxial. The stability of the doped Fe$_{3}$Sn
phases is elucidated theoretically via the calculations of their formation
enthalpies. A micromagnetic model is developed in order to estimate the energy
density product (BH)max and coercive field $\mu_{0}$H$_{c}$ of a potential
magnet made of Fe$_{3}$Sn$_{0.75}$Sb$_{0.25}$, the most promising candidate
from theoretical studies. The phase stability and magnetic properties of the
Fe$_{3}$Sn compound doped with Sb and Mn has been checked experimentally on the
samples synthesised using the reactive crucible melting technique as well as by
solid state reaction. The Fe$_{3}$Sn-Sb compound is found to be stable when
alloyed with Mn. It is shown that even small structural changes, such as a
change of the c/a ratio or volume, that can be induced by, e.g., alloying with
Mn, can influence anisotropy and reverse it from planar to uniaxial and back.
|
cond-mat.mtrl-sci
|
the electronic structure magnetic properties and phase formation of hexagonal ferromagnetic fe_3snbased alloys have been studied from first principles and by experiment the pristine fe_3sn compound is known to fulfill all the requirements for a good permanent magnet except for the magnetocrystalline anisotropy energy mae the latter is large but planar ie the easy magnetization axis is not along the hexagonal c direction whereas a good permanent magnet requires the mae to be uniaxial here we consider fe_3sn_075m_025 where m si p ga ge as se in sb te and bi and show how different dopants on the sn sublattice affect the mae and can alter it from planar to uniaxial the stability of the doped fe_3sn phases is elucidated theoretically via the calculations of their formation enthalpies a micromagnetic model is developed in order to estimate the energy density product bhmax and coercive field mu_0h_c of a potential magnet made of fe_3sn_075sb_025 the most promising candidate from theoretical studies the phase stability and magnetic properties of the fe_3sn compound doped with sb and mn has been checked experimentally on the samples synthesised using the reactive crucible melting technique as well as by solid state reaction the fe_3snsb compound is found to be stable when alloyed with mn it is shown that even small structural changes such as a change of the ca ratio or volume that can be induced by eg alloying with mn can influence anisotropy and reverse it from planar to uniaxial and back
|
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|
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|
1,803.08293
|
The convex hull of a planar random walk: perimeter, diameter, and shape
|
We study the convex hull of the first $n$ steps of a planar random walk, and
present large-$n$ asymptotic results on its perimeter length $L_n$, diameter
$D_n$, and shape. In the case where the walk has a non-zero mean drift, we show
that $L_n / D_n \to 2$ a.s., and give distributional limit theorems and
variance asymptotics for $D_n$, and in the zero-drift case we show that the
convex hull is infinitely often arbitrarily well-approximated in shape by any
unit-diameter compact convex set containing the origin, and then $\liminf_{n
\to \infty} L_n/D_n =2$ and $\limsup_{n \to \infty} L_n /D_n = \pi$, a.s. Among
the tools that we use is a zero-one law for convex hulls of random walks.
|
math.PR
|
we study the convex hull of the first n steps of a planar random walk and present largen asymptotic results on its perimeter length l_n diameter d_n and shape in the case where the walk has a nonzero mean drift we show that l_n d_n to 2 as and give distributional limit theorems and variance asymptotics for d_n and in the zerodrift case we show that the convex hull is infinitely often arbitrarily wellapproximated in shape by any unitdiameter compact convex set containing the origin and then liminf_n to infty l_nd_n 2 and limsup_n to infty l_n d_n pi as among the tools that we use is a zeroone law for convex hulls of random walks
|
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|
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|
1,803.08294
|
Transition region bright dots in active regions observed by the
Interface Region Imaging Spectrograph
|
The Interface Region Imaging Spectrograph (IRIS) reveals numerous small-scale
(sub-arcsecond) brightenings that appear as bright dots sparkling the solar
transition region in active regions. Here, we report a statistical study on
these transition region bright dots. We use an automatic approach to identify
2742 dots in a Si IV raster image. We find that the average spatial size of the
dots is 0.8 arcsec$^2$ and most of them are located in the faculae area. Their
Doppler velocities obtained from the Si IV 1394 {\AA} line range from -20 to 20
km/s. Among these 2742 dots, 1224 are predominantly blue-shifted and 1518 are
red-shifted. Their nonthermal velocities range from 4 to 50 km/s with an
average of 24 km/s. We speculate that the bright dots studied here are
small-scale impulsive energetic events that can heat the active region corona.
|
astro-ph.SR
|
the interface region imaging spectrograph iris reveals numerous smallscale subarcsecond brightenings that appear as bright dots sparkling the solar transition region in active regions here we report a statistical study on these transition region bright dots we use an automatic approach to identify 2742 dots in a si iv raster image we find that the average spatial size of the dots is 08 arcsec2 and most of them are located in the faculae area their doppler velocities obtained from the si iv 1394 aa line range from 20 to 20 kms among these 2742 dots 1224 are predominantly blueshifted and 1518 are redshifted their nonthermal velocities range from 4 to 50 kms with an average of 24 kms we speculate that the bright dots studied here are smallscale impulsive energetic events that can heat the active region corona
|
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|
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|
1,803.08295
|
Sums of regular selfadjoint operators in Hilbert-C*-modules
|
We introduce a notion of weak anticommutativity for a pair (S,T) of
self-adjoint regular operators in a Hilbert-C*-module E. We prove that the sum
$S+T$ of such pairs is self-adjoint and regular on the intersection of their
domains. A similar result then holds for the sum S^2+T^2 of the squares. We
show that our definition is closely related to the Connes-Skandalis positivity
criterion in $KK$-theory. As such we weaken a sufficient condition of
Kucerovsky for representing the Kasparov product. Our proofs indicate that our
conditions are close to optimal.
|
math.OA math.FA math.KT
|
we introduce a notion of weak anticommutativity for a pair st of selfadjoint regular operators in a hilbertcmodule e we prove that the sum st of such pairs is selfadjoint and regular on the intersection of their domains a similar result then holds for the sum s2t2 of the squares we show that our definition is closely related to the connesskandalis positivity criterion in kktheory as such we weaken a sufficient condition of kucerovsky for representing the kasparov product our proofs indicate that our conditions are close to optimal
|
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|
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|
1,803.08296
|
Uniqueness of higher-dimensional Einstein-Maxwell-phantom dilaton
wormholes
|
The uniqueness of static spherically symmetric traversable wormholes with two
asymptotically flat ends, subject to the higher-dimensional solutions of
Einstein-Maxwell-phantom dilaton field equations was proved. We considered the
case of an arbitrary dilaton coupling constant. Conformal positive energy
theorem plays the key role in the considerations.
|
hep-th gr-qc
|
the uniqueness of static spherically symmetric traversable wormholes with two asymptotically flat ends subject to the higherdimensional solutions of einsteinmaxwellphantom dilaton field equations was proved we considered the case of an arbitrary dilaton coupling constant conformal positive energy theorem plays the key role in the considerations
|
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|
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|
1,803.08297
|
Exciton spectroscopy of semiconductors by the method of optical
harmonics generation
|
Nonlinear optical phenomena are widely used for the study of semiconductor
materials. The paper presents an overview of experimental and theoretical
studies of excitons by the method of optical second and third harmonics
generation in various bulk semiconductors (GaAs, CdTe, ZnSe, ZnO, Cu$_2$O,
(Cd,Mn)Te, EuTe, EuSe), and low-dimensional heterostructures ZnSe/BeTe.
Particular attention is paid to the role of external electric and magnetic
fields that modify the exciton states and induce new mechanisms of optical
harmonics generation. Microscopic mechanisms of harmonics generation based on
the Stark effect, the spin and orbital Zeeman effects, and on the magneto-Stark
effect specific for excitons moving in an external magnetic field are
considered. This approach makes it possible to study the properties of excitons
and to obtain new information on their energy and spin structure that is not
available when the excitons are investigated by linear optical spectroscopy. As
a result of these studies, a large amount of information was obtained, which
allows us to conclude on the establishing of a new field of research - exciton
spectroscopy by the method of optical harmonics generation.
|
cond-mat.mtrl-sci
|
nonlinear optical phenomena are widely used for the study of semiconductor materials the paper presents an overview of experimental and theoretical studies of excitons by the method of optical second and third harmonics generation in various bulk semiconductors gaas cdte znse zno cu_2o cdmnte eute euse and lowdimensional heterostructures znsebete particular attention is paid to the role of external electric and magnetic fields that modify the exciton states and induce new mechanisms of optical harmonics generation microscopic mechanisms of harmonics generation based on the stark effect the spin and orbital zeeman effects and on the magnetostark effect specific for excitons moving in an external magnetic field are considered this approach makes it possible to study the properties of excitons and to obtain new information on their energy and spin structure that is not available when the excitons are investigated by linear optical spectroscopy as a result of these studies a large amount of information was obtained which allows us to conclude on the establishing of a new field of research exciton spectroscopy by the method of optical harmonics generation
|
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|
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|
1,803.08298
|
A Study of Delay Drifts on Massive MIMO Wideband Channel Models
|
In this paper, we study the effects of the variations of the propagation
delay over large-scale antenna-arrays used in massive multiple-input
multiple-output (MIMO) wideband communication systems on the statistical
properties of the channel. Due to its simplicity and popularity, the Elliptical
geometry-based stochastic channel model (GBSM) is employed to demonstrate new
non-stationary properties of the channel in the frequency and spatial domains
caused by the drift of delays. In addition, we show that the time of travel of
multi-path components (MPCs) over large-scale arrays may result in overlooked
frequency and spatial decorrelation effects. These are theoretically
demonstrated by deriving the space-time-frequency correlation functions
(STFCFs) of both narrowband and wideband Elliptical models. Closed-form
expressions of the array-variant frequency correlation function (FCF), power
delay profile (PDP), mean delay, and delay spread of single- and multi-confocal
Elliptical models are derived when the angles of arrival (AOAs) are von Mises
distributed. In such conditions, we find that the large dimensions of the
antenna array may limit the narrowband characteristic of the single-ellipse
model and alter the wideband characteristics (PDP and FCF) of the
multi-confocal Elliptical channel model. Although we present and analyze
numerical and simulation results for a particular GBSM, similar conclusions can
be extended to other GBSMs.
|
cs.IT math.IT
|
in this paper we study the effects of the variations of the propagation delay over largescale antennaarrays used in massive multipleinput multipleoutput mimo wideband communication systems on the statistical properties of the channel due to its simplicity and popularity the elliptical geometrybased stochastic channel model gbsm is employed to demonstrate new nonstationary properties of the channel in the frequency and spatial domains caused by the drift of delays in addition we show that the time of travel of multipath components mpcs over largescale arrays may result in overlooked frequency and spatial decorrelation effects these are theoretically demonstrated by deriving the spacetimefrequency correlation functions stfcfs of both narrowband and wideband elliptical models closedform expressions of the arrayvariant frequency correlation function fcf power delay profile pdp mean delay and delay spread of single and multiconfocal elliptical models are derived when the angles of arrival aoas are von mises distributed in such conditions we find that the large dimensions of the antenna array may limit the narrowband characteristic of the singleellipse model and alter the wideband characteristics pdp and fcf of the multiconfocal elliptical channel model although we present and analyze numerical and simulation results for a particular gbsm similar conclusions can be extended to other gbsms
|
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|
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|
1,803.08299
|
A Generalized Framework for Chance-constrained Optimal Power Flow
|
Deregulated energy markets, demand forecasting, and the continuously
increasing share of renewable energy sources call---among others---for a
structured consideration of uncertainties in optimal power flow problems. The
main challenge is to guarantee power balance while maintaining economic and
secure operation. In the presence of Gaussian uncertainties affine feedback
policies are known to be viable options for this task. The present paper
advocates a general framework for chance-constrained OPF problems in terms of
continuous random variables. It is shown that, irrespective of the type of
distribution, the random-variable minimizers lead to affine feedback policies.
Introducing a three-step methodology that exploits polynomial chaos expansion,
the present paper provides a constructive approach to chance-constrained
optimal power flow problems that does not assume a specific distribution, e.g.
Gaussian, for the uncertainties. We illustrate our findings by means of a
tutorial example and a 300-bus test case.
|
math.OC cs.SY
|
deregulated energy markets demand forecasting and the continuously increasing share of renewable energy sources callamong othersfor a structured consideration of uncertainties in optimal power flow problems the main challenge is to guarantee power balance while maintaining economic and secure operation in the presence of gaussian uncertainties affine feedback policies are known to be viable options for this task the present paper advocates a general framework for chanceconstrained opf problems in terms of continuous random variables it is shown that irrespective of the type of distribution the randomvariable minimizers lead to affine feedback policies introducing a threestep methodology that exploits polynomial chaos expansion the present paper provides a constructive approach to chanceconstrained optimal power flow problems that does not assume a specific distribution eg gaussian for the uncertainties we illustrate our findings by means of a tutorial example and a 300bus test case
|
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|
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|
1,803.083
|
Bayesian Inference on the Radio-quietness of Gamma-ray Pulsars
|
We demonstrate for the first time using a robust Bayesian approach to analyse
the populations of radio-quiet (RQ) and radio-loud (RL) gamma-ray pulsars. We
quantify their differences and obtain their distributions of the radio-cone
opening half-angle $\delta$ and the magnetic inclination angle $\alpha$ by
Bayesian inference. In contrast to the conventional frequentist point
estimations that might be non-representative when the distribution is highly
skewed or multi-modal, which is often the case when data points are scarce,
Bayesian statistics displays the complete posterior distribution that the
uncertainties can be readily obtained regardless of the skewness and modality.
We found that the spin period, the magnetic field strength at the light
cylinder, the spin-down power, the gamma-ray-to-X-ray flux ratio, and the
spectral curvature significance of the two groups of pulsars exhibit
significant differences at the 99\% level. Using Bayesian inference, we are
able to infer the values and uncertainties of $\delta$ and $\alpha$ from the
distribution of RQ and RL pulsars. We found that $\delta$ is between $10^\circ$
and $35^\circ$ and the distribution of $\alpha$ is skewed towards large values.
|
astro-ph.HE
|
we demonstrate for the first time using a robust bayesian approach to analyse the populations of radioquiet rq and radioloud rl gammaray pulsars we quantify their differences and obtain their distributions of the radiocone opening halfangle delta and the magnetic inclination angle alpha by bayesian inference in contrast to the conventional frequentist point estimations that might be nonrepresentative when the distribution is highly skewed or multimodal which is often the case when data points are scarce bayesian statistics displays the complete posterior distribution that the uncertainties can be readily obtained regardless of the skewness and modality we found that the spin period the magnetic field strength at the light cylinder the spindown power the gammaraytoxray flux ratio and the spectral curvature significance of the two groups of pulsars exhibit significant differences at the 99 level using bayesian inference we are able to infer the values and uncertainties of delta and alpha from the distribution of rq and rl pulsars we found that delta is between 10circ and 35circ and the distribution of alpha is skewed towards large values
|
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|
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|
1,803.08301
|
The Herzog-Schonheim conjecture for finitely generated groups
|
Let $G$ be a group and $H_1$,...,$H_s$ be subgroups of $G$ of indices
$d_1$,...,$d_s$ respectively. In 1974, M. Herzog and J. Sch\"onheim conjectured
that if $\{H_i\alpha_i\}_{i=1}^{i=s}$, $\alpha_i\in G$, is a coset partition of
$G$, then $d_1$,..,$d_s$ cannot be distinct. We consider the Herzog-Sch\"onheim
conjecture for free groups of finite rank and develop a new combinatorial
approach, using covering spaces. We define $Y$ the space of coset partitions of
$F_n$ and show $Y$ is a metric space with interesting properties. We give some
sufficient conditions on the coset partition that ensure the conjecture is
satisfied and moreover has a neighborhood $U$ in $Y$ such that all the
partitions in $U$ satisfy also the conjecture.
|
math.GR math.AT
|
let g be a group and h_1h_s be subgroups of g of indices d_1d_s respectively in 1974 m herzog and j schonheim conjectured that if h_ialpha_i_i1is alpha_iin g is a coset partition of g then d_1d_s cannot be distinct we consider the herzogschonheim conjecture for free groups of finite rank and develop a new combinatorial approach using covering spaces we define y the space of coset partitions of f_n and show y is a metric space with interesting properties we give some sufficient conditions on the coset partition that ensure the conjecture is satisfied and moreover has a neighborhood u in y such that all the partitions in u satisfy also the conjecture
|
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|
[-0.1665603843377491, 0.14141730150924914, -0.12519657979842969, 0.04595136288368036, -0.08792953110151652, -0.145913443598171, 0.035550520981999886, 0.36692392305199023, -0.26425483435458313, -0.24716905233310124, 0.08799936379351349, -0.24527778195637584, -0.14029021047682097, 0.14472938343984038, -0.1337125096923416, -0.05978155546137585, 0.04963489650955745, 0.08571884571780673, -0.07223201161800354, -0.3216140457012781, 0.34080547150389284, -0.09438444756432972, 0.19856555566147374, 0.06190705836742325, 0.10478712817802366, 0.02140592459787046, 0.0034757299427009, 0.04650636633551078, -0.20488098325856613, 0.0797769635569601, 0.2661580953116537, 0.14186121919398417, 0.23276294406453987, -0.31370904581107206, -0.16429978526461111, 0.21522956322548928, 0.11693959013534198, -0.05822556699931094, 0.002998719629584358, -0.24026110427107958, 0.16800361995964386, -0.15314775561930333, -0.11956783034632691, -0.05977769761162901, 0.11117114926651285, 0.007572092225597924, -0.31605500300554973, -0.012594574421337204, 0.06932732048114779, 0.04278973978738078, -0.010336496261467713, -0.1415618317226459, -0.10281119684367317, 0.0976287209700826, -0.023817479391005383, 0.08413659524485732, 0.0005408449930888889, -0.04080837693032438, -0.09775954477264406, 0.3816767059991845, -0.051282017541208626, -0.22362200719658779, 0.08875016895312388, -0.1696298960843577, -0.21022766952163877, 0.06830186321424832, 0.08146250255372936, 0.1574509502576553, -0.04173885534138345, 0.2329360233610537, -0.18000283583471205, 0.08228615068921209, 0.09847825159837978, 0.005115204503083915, 0.12482899739777883, 0.06322798592788456, 0.11609419506966276, 0.13122338176585438, 0.0273027474007083, 0.07589846445439152, -0.3487093455891694, -0.18947251991212236, -0.1622444297572334, 0.12844732009398285, -0.12124095503918196, -0.1523870609935571, 0.3555012844024902, 0.07980800282820004, 0.17162899696062098, 0.0960324654042457, 0.11836858037076231, 0.07595860947642591, 0.007532237944465164, 0.12412371663211853, 0.08955875544451317, 0.2190710083597991, -0.07763294718615645, -0.13998608498842316, -0.007010744109881663, 0.21639450254594594]
|
1,803.08302
|
Tangent cones of monomial curves obtained by numerical duplication
|
Given a numerical semigroup ring $R=k[\![S]\!]$, an ideal $E$ of $S$ and an
odd element $b \in S$, the numerical duplication $S \! \Join^b \! E$ is a
numerical semigroup, whose associated ring $k[\![S \! \Join^b \! E]\!]$ shares
many properties with the Nagata's idealization and the amalgamated duplication
of $R$ along the monomial ideal $I=(t^e \mid e\in E)$. In this paper we study
the associated graded ring of the numerical duplication characterizing when it
is Cohen-Macaulay, Gorenstein or complete intersection. We also study when it
is a homogeneous numerical semigroup, a property that is related to the fact
that a ring has the same Betti numbers of its associated graded ring. On the
way we also characterize when ${\rm gr}_{\mathfrak m}(I)$ is Cohen-Macaulay and
when ${\rm gr}_{\mathfrak m}(\omega_R)$ is a canonical module of ${\rm
gr}_{\mathfrak m}(R)$ in terms of numerical semigroup's properties, where
$\omega_R$ is a canonical module of $R$.
|
math.AC
|
given a numerical semigroup ring rks an ideal e of s and an odd element b in s the numerical duplication s joinb e is a numerical semigroup whose associated ring ks joinb e shares many properties with the nagatas idealization and the amalgamated duplication of r along the monomial ideal ite mid ein e in this paper we study the associated graded ring of the numerical duplication characterizing when it is cohenmacaulay gorenstein or complete intersection we also study when it is a homogeneous numerical semigroup a property that is related to the fact that a ring has the same betti numbers of its associated graded ring on the way we also characterize when rm gr_mathfrak mi is cohenmacaulay and when rm gr_mathfrak momega_r is a canonical module of rm gr_mathfrak mr in terms of numerical semigroups properties where omega_r is a canonical module of r
|
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|
[-0.19669221648817053, 0.03091594139166571, -0.06793117919652206, 0.0229236290114285, -0.04406036206637509, -0.1584034909416611, -0.07242149707841843, 0.3408887777218802, -0.3871763533550418, -0.11973559931438002, 0.11285393833451154, -0.30096902632309747, -0.09846631502376921, 0.20132279624683885, -0.10335197403845894, -0.03278125782485909, 0.07272974366464445, 0.12768240510680093, -0.07484879349229029, -0.23978344941618465, 0.3332927311486047, 0.08408802411415511, 0.17838508376553364, 0.009049607793309001, 0.06878061972222188, -0.01808602269334693, -0.03768277076920236, 0.045424904418016214, -0.22830893948220263, 0.08361027635530466, 0.26927491620234734, 0.10332041697175656, 0.23579438922913848, -0.3622743472806178, -0.07020779437152669, 0.2077224638180471, 0.1247725081177325, -0.04467378876223746, -0.015706599836347677, -0.18278206365519306, 0.18095093500819026, -0.2273576260259789, -0.14731047640088946, -0.0434681175975129, 0.1613785749585885, 0.02170231806263069, -0.3239448317649981, 0.012399134817517025, 0.13216570996963936, 0.1605727875721641, 0.002265546063426882, -0.05940053393068309, -0.10355503200682709, -0.009453086419347933, -0.04600049972941633, 0.02330011039480774, 0.0861229903174616, -0.0981415422235538, -0.1010838642097143, 0.3601331011029995, -0.042885768414837204, -0.1785655777364607, 0.1526217283907398, -0.1986908150235346, -0.06524313749590267, 0.1429652419481297, -0.00417025841306895, 0.15346471032050127, -0.02715489437307244, 0.21349452598183738, -0.17397774183498566, 0.07457850861182022, 0.059729807175851114, 0.008435789670329541, 0.14107823653224236, 0.12701001456460087, 0.05294060754527487, 0.13238094036286283, -0.019855099820334645, 0.025250297908011515, -0.37169674364364863, -0.2344293411911672, -0.17675847137838396, 0.14841742663217397, -0.09302287473080166, -0.14037556225796127, 0.4142983387896998, 0.08456090946694733, 0.18652365738267285, 0.02868986664624471, 0.24254190629775016, 0.05946152154744292, 0.01548084012473636, 0.07440303553246647, 0.07574093295099577, 0.20743672237990218, -0.015426922728592116, -0.22336553540662862, 0.00501086227207755, 0.1357211332296073]
|
1,803.08303
|
The representation type of determinantal varieties
|
This work is entirely devoted to construct huge families of indecomposable
arithmetically Cohen-Macaulay (resp. Ulrich) sheaves E of arbitrary high rank
on a general standard (resp. linear) determinantal scheme X\subset \PP^n of
codimension c \ge 1, n-c \ge 1 and defined by the maximal minors of a t \times
(t+c-1) homogeneous matrix A. The sheaves E are constructed as iterated
extensions of sheaves of lower rank. As applications: (1) we prove that any
general standard determinantal scheme X\subset \PP^n is of wild representation
type provided the degrees of the entries of the matrix A satisfy some weak
numerical assumptions; and (2) we determine values of t, n and n-c for which a
linear standard determinantal scheme X\subset \PP^n is of wild representation
type with respect to the much more restrictive category of its indecomposable
Ulrich sheaves, i.e. X is of Ulrich wild representation type.
|
math.AG math.AC
|
this work is entirely devoted to construct huge families of indecomposable arithmetically cohenmacaulay resp ulrich sheaves e of arbitrary high rank on a general standard resp linear determinantal scheme xsubset ppn of codimension c ge 1 nc ge 1 and defined by the maximal minors of a t times tc1 homogeneous matrix a the sheaves e are constructed as iterated extensions of sheaves of lower rank as applications 1 we prove that any general standard determinantal scheme xsubset ppn is of wild representation type provided the degrees of the entries of the matrix a satisfy some weak numerical assumptions and 2 we determine values of t n and nc for which a linear standard determinantal scheme xsubset ppn is of wild representation type with respect to the much more restrictive category of its indecomposable ulrich sheaves ie x is of ulrich wild representation type
|
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|
[-0.17746214268764662, 0.05652230804035854, -0.012809929211572226, 0.05976437072240515, -0.03927170831270309, -0.2404328233533306, -0.018181200507873047, 0.31628814875148237, -0.314524716164063, -0.15373869621746256, 0.09045451401551771, -0.22858202104301503, -0.11900141090235491, 0.15765968521979326, -0.1305011945781492, -0.014920254982826009, 0.030322912375494424, 0.09092023558979337, -0.10436280999339134, -0.34464561976751107, 0.41612994818327326, -0.03219195335987024, 0.21407537994835163, 0.005139353254991066, 0.14926568005466834, 0.006539048070812391, -0.018399550592423312, -0.02767939388933074, -0.16460661000044435, 0.16116100413556625, 0.3233576214374302, 0.11727253342622943, 0.1750806356738192, -0.3385604255147175, -0.13747936888830736, 0.2636723145777877, 0.11165909991703099, 0.0004272956777842612, 0.03993346500596494, -0.23615738271877895, 0.16342623008919568, -0.20809327473721673, -0.18499042214373024, -0.07502543655250014, 0.12317762012874785, 0.015574448095220659, -0.3328207228074057, -0.021417876802540075, 0.12713204399915412, 0.1462778157486658, -0.014178383485058375, -0.16480825775458166, -0.07056296359385467, -0.03129674970599202, -0.05934843087258438, 0.034144100828497254, 0.08204705757897399, -0.1095356538345287, -0.10903716251292887, 0.35041982417977935, -0.05134554706617362, -0.23154505917854193, 0.13614649139344692, -0.16361733211993446, -0.13628378857457493, 0.1795996441926238, 0.08454376608319257, 0.23097745684572146, -0.0011027536367894048, 0.24097890084319967, -0.13599964756698077, 0.08775658639367773, 0.11878493433080924, 0.017032012195462205, 0.07878850829891032, 0.11558943227606101, 0.060332199246557944, 0.053415843482879505, -0.024242396817296848, 0.006243897634299679, -0.3865264060570755, -0.20573729376176036, -0.13484532106182692, 0.20887049163381258, -0.17006225814081213, -0.1527423909929995, 0.3600374719149689, 0.05546460045297863, 0.19059387699881983, 0.14350368576722555, 0.20186257224607593, 0.029582169778425142, -0.0031176575018131794, 0.056260813363931246, 0.11997847143902618, 0.22156307327774508, -0.043659130353868626, -0.05040332214209937, 0.03695146413802933, 0.21678483218420297]
|
1,803.08304
|
On the stability of persistent entropy and new summary functions for TDA
|
Persistent homology and persistent entropy have recently become useful tools
for patter recognition. In this paper, we find requirements under which
persistent entropy is stable to small perturbations in the input data and scale
invariant. In addition, we describe two new stable summary functions combining
persistent entropy and the Betti curve. Finally, we use the previously defined
summary functions in a material classification task to show their usefulness in
machine learning and pattern recognition.
|
cs.IT math.IT
|
persistent homology and persistent entropy have recently become useful tools for patter recognition in this paper we find requirements under which persistent entropy is stable to small perturbations in the input data and scale invariant in addition we describe two new stable summary functions combining persistent entropy and the betti curve finally we use the previously defined summary functions in a material classification task to show their usefulness in machine learning and pattern recognition
|
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|
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|
1,803.08305
|
Relativistic jet feedback III: feedback on gas disks
|
We study the interactions of a relativistic jet with a dense turbulent
gaseous disk of radius $\sim 2$ kpc. We have performed a suite of simulations
with different mean density, jet power and orientation. Our results show that:
A) the relativistic jet couples strongly with the gas in the inner kpc,
creating a cavity and launching outflows. B) The high pressure bubble inflated
by the jet and its back-flow compresses the disk at the outer edges, driving
inflows within the disk. C) Jets inclined towards the disk couple more strongly
with the disk and launch sub-relativistic, wide-angle outflows along the minor
axis. D) Shocks driven directly by the jet and the jet-driven energy bubble
raise the velocity dispersion throughout the disk by several times its initial
value. E) Compression by the jet-driven shocks can enhance the star formation
rate in the disk, especially in a ring-like geometry close to the axis.
However, enhanced turbulent dispersion in the disk also leads to quenching of
star formation. Whether positive or negative feedback dominates depends on jet
power, ISM density, jet orientation with respect to the disc, and the
time-scale under consideration. Qualitatively, our simulations compare
favourably with kinematic and morphological signatures of several observed
galaxies such as NGC 1052, NGC 3079, 3C 326 and 3C 293.
|
astro-ph.HE astro-ph.GA
|
we study the interactions of a relativistic jet with a dense turbulent gaseous disk of radius sim 2 kpc we have performed a suite of simulations with different mean density jet power and orientation our results show that a the relativistic jet couples strongly with the gas in the inner kpc creating a cavity and launching outflows b the high pressure bubble inflated by the jet and its backflow compresses the disk at the outer edges driving inflows within the disk c jets inclined towards the disk couple more strongly with the disk and launch subrelativistic wideangle outflows along the minor axis d shocks driven directly by the jet and the jetdriven energy bubble raise the velocity dispersion throughout the disk by several times its initial value e compression by the jetdriven shocks can enhance the star formation rate in the disk especially in a ringlike geometry close to the axis however enhanced turbulent dispersion in the disk also leads to quenching of star formation whether positive or negative feedback dominates depends on jet power ism density jet orientation with respect to the disc and the timescale under consideration qualitatively our simulations compare favourably with kinematic and morphological signatures of several observed galaxies such as ngc 1052 ngc 3079 3c 326 and 3c 293
|
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|
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|
1,803.08306
|
A platform for electrically pumped polariton simulators and topological
lasers
|
Two-dimensional electronic materials such as graphene and transition metal
dichalgenides feature unique electrical and optical properties due to the
conspirative effect of band structure, orbital coupling, and crystal symmetry.
Synthetic matter, as accomplished by artificial lattice arrangements of cold
atoms, molecules, electron patterning, and optical cavities, has emerged to
provide manifold intriguing frameworks to likewise realize such scenarios.
Exciton-polaritons have recently been added to the list of promising candidates
for the emulation of system Hamiltonians on a semiconductor platform, offering
versatile tools to engineer the potential landscape and to access the
non-linear electro-optical regime. In this work, we introduce an electronically
driven square and honeycomb lattice of exciton-polaritons, paving the way
towards real world devices based on polariton lattices for on-chip
applications. Our platform exhibits laser-like emission from high-symmetry
points under direct current injection, hinting at the prospect of electrically
driven polariton lasers with possibly topologically non-trivial properties.
|
physics.optics physics.app-ph
|
twodimensional electronic materials such as graphene and transition metal dichalgenides feature unique electrical and optical properties due to the conspirative effect of band structure orbital coupling and crystal symmetry synthetic matter as accomplished by artificial lattice arrangements of cold atoms molecules electron patterning and optical cavities has emerged to provide manifold intriguing frameworks to likewise realize such scenarios excitonpolaritons have recently been added to the list of promising candidates for the emulation of system hamiltonians on a semiconductor platform offering versatile tools to engineer the potential landscape and to access the nonlinear electrooptical regime in this work we introduce an electronically driven square and honeycomb lattice of excitonpolaritons paving the way towards real world devices based on polariton lattices for onchip applications our platform exhibits laserlike emission from highsymmetry points under direct current injection hinting at the prospect of electrically driven polariton lasers with possibly topologically nontrivial properties
|
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|
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|
1,803.08307
|
Microscopic description of the ground state properties of recently
reported new isotopes
|
Microscopic investigations for the observed properties of the recently
reported five unstable new isotopes are carried out. The ground state
properties are calculated in the relativistic mean field (RMF) framework and
the results reproduce the experiment well as expected. The {\alpha} - decay
lifetimes are calculated in the double folding model using WKB approximation
which requires the relevant Q values of {\alpha} - decay and the {\alpha} -
daughter potential. The latter is obtained by folding the effective M3Y nucleon
nucleon potential with the RMF nucleon density distributions for the daughter
nucleus and that of the {\alpha} particle which is assumed to be of Gaussian
shape. the corresponding decay half - lives obtained by using available
phenomenological expression are also presented, discussed and compared. It is
observed that the Q values calculated in the RMF framework , though reasonably
agree with the experiment, are not accurate enough for the reliable WKB
calculation of decay half- lives. We therefore, advocate that the use of
accurate (e.g. experimental) Q values is crucial for the reliable description
of the experimental {\alpha} - decay half-lives.
|
nucl-th
|
microscopic investigations for the observed properties of the recently reported five unstable new isotopes are carried out the ground state properties are calculated in the relativistic mean field rmf framework and the results reproduce the experiment well as expected the alpha decay lifetimes are calculated in the double folding model using wkb approximation which requires the relevant q values of alpha decay and the alpha daughter potential the latter is obtained by folding the effective m3y nucleon nucleon potential with the rmf nucleon density distributions for the daughter nucleus and that of the alpha particle which is assumed to be of gaussian shape the corresponding decay half lives obtained by using available phenomenological expression are also presented discussed and compared it is observed that the q values calculated in the rmf framework though reasonably agree with the experiment are not accurate enough for the reliable wkb calculation of decay half lives we therefore advocate that the use of accurate eg experimental q values is crucial for the reliable description of the experimental alpha decay halflives
|
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|
[-0.038091822710952586, 0.18112519962380508, -0.08819440975785256, 0.15755646203245435, 0.001037461712424244, -0.1338097579085401, 0.013563084565103054, 0.3600996577526842, -0.1576427197589406, -0.28937683258737834, 0.0043702502382387005, -0.2876999755523035, -0.06275604959830941, 0.1961748235905543, 0.08423247066625793, 0.08130847524144753, 0.07405555311324341, 0.09975471393870455, -0.05576998605658966, -0.18673703505524566, 0.2766720432302515, 0.09307637771325453, 0.24687337389215827, 0.04402297438525628, 0.016910823953471012, 0.011380028442612716, -0.0201759914016085, -0.011367014803524528, -0.19767274756712142, 0.1097121718208447, 0.19975820213024106, 0.062203011003189854, 0.18166585474408098, -0.40356078829084124, -0.1956462311877736, 0.06528212979968105, 0.17806866523834677, 0.1110124210441219, -0.06507341510034166, -0.2908473512051361, 0.0734121757772352, -0.191814009600452, -0.18980506711240325, -0.1332806649165494, 0.05974846304859966, 0.06281433520838618, -0.2809366069391503, 0.10246533242752776, -0.04875712925634746, 0.010121823171419757, -0.1444888887314924, -0.2413779623487166, -0.011498252766739044, 0.11769736594387463, 0.1029592699497672, 0.04594352920140539, 0.15944394170971854, -0.11057025924857174, -0.05755105297347265, 0.3967699234400477, -0.04176260615832039, -0.16282298669751202, 0.06925422665929155, -0.18591841201164894, -0.09861865497859461, 0.1897374554936375, 0.08352693639296506, 0.11475257871938603, -0.1280475750086563, 0.08858831737323532, -0.0023601624855239477, 0.1571268593799323, 0.034968541639723946, 0.024355386548808644, 0.15634523240583284, 0.1547954117559961, -0.06788364167192153, 0.04182320551215006, -0.12007625356050475, -0.1537102462218276, -0.36375582170872284, -0.0812537464684075, -0.16804572580049612, 0.021288982407672196, -0.0618242262300503, -0.12095191568951122, 0.37086233526468276, 0.08295789912476072, 0.19665954817485595, 0.05042611266752439, 0.2757894782668778, 0.1365286287578887, 0.0655530772225133, 0.02839017914541598, 0.3253403328891311, 0.174275709773813, 0.06454747581322279, -0.2522421205043793, 0.085791566701872, 0.049575551321197835]
|
1,803.08308
|
An Action Principle for Action-dependent Lagrangians: toward an Action
Principle to non-conservative systems
|
In this work, we propose an Action Principle for Action-dependent Lagrangian
functions by generalizing the Herglotz variational problem to the case with
several independent variables. We obtain a necessary condition for the extremum
equivalent to the Euler-Lagrange equation and, through some examples, we show
that this generalized Action Principle enables us to construct simple and
physically meaningful Action-dependent Lagrangian functions for a wide range of
non-conservative classical and quantum systems. Furthermore, when the
dependence on the Action is removed, the traditional Action Principle for
conservative systems is recovered.
|
math-ph math.MP physics.class-ph
|
in this work we propose an action principle for actiondependent lagrangian functions by generalizing the herglotz variational problem to the case with several independent variables we obtain a necessary condition for the extremum equivalent to the eulerlagrange equation and through some examples we show that this generalized action principle enables us to construct simple and physically meaningful actiondependent lagrangian functions for a wide range of nonconservative classical and quantum systems furthermore when the dependence on the action is removed the traditional action principle for conservative systems is recovered
|
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|
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|
1,803.08309
|
Horizon-T Experiment Upgrade and Calibration of New Detection Points
|
In March of 2018, after the completion of the Physics Run 2, an upgrade has
been installed at an innovative detector system Horizon-T, with the upgraded
version now called Horizon-10T. It was constructed to study Extensive Air
Showers (EAS) in the energy range above 10^16 eV coming from a wide range of
zenith angles (0 - 85 degrees). The system is located at Tien Shan
high-altitude Science Station of Lebedev Physical Institute of the Russian
Academy of Sciences at approximately 3340 meters above the sea level. After
this upgrade, the detector consists of ten charged particle detection points
separated by the distance up to 1.3 kilometer as well as optical detector to
view the Vavilov-Cherenkov light from the EAS. Each detector connects to the
Data Acquisition system via cables. The calibration of the time delay for each
cable including newly installed ones and the signal attenuation is provided in
this article as well as the description of the newly installed detection points
and their MIP response values.
|
physics.ins-det hep-ex
|
in march of 2018 after the completion of the physics run 2 an upgrade has been installed at an innovative detector system horizont with the upgraded version now called horizon10t it was constructed to study extensive air showers eas in the energy range above 1016 ev coming from a wide range of zenith angles 0 85 degrees the system is located at tien shan highaltitude science station of lebedev physical institute of the russian academy of sciences at approximately 3340 meters above the sea level after this upgrade the detector consists of ten charged particle detection points separated by the distance up to 13 kilometer as well as optical detector to view the vavilovcherenkov light from the eas each detector connects to the data acquisition system via cables the calibration of the time delay for each cable including newly installed ones and the signal attenuation is provided in this article as well as the description of the newly installed detection points and their mip response values
|
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|
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|
1,803.0831
|
A Statistical Study of the Magnetic Imprints of X-Class Solar Flares
|
Magnetic imprints, the rapid and irreversible evolution of photospheric
magnetic fields as a feedback from flares in the corona, have been confirmed by
many previous studies. These studies showed that the horizontal field will
permanently increase at the polarity inversion line (PIL) after eruptions,
indicating that a more horizontal geometry of photospheric magnetic field is
produced. In this study, we analyze 20 X-class flares since the launch of the
Solar Dynamics Observatory (SDO) in 15 active regions (ARs) with heliographic
angle no greater than 45 degrees. We observe clear magnetic imprints in 16
flares, whereas 4 flares are exceptional. The imprint regions of the horizontal
field are located not only at the PIL but also at sunspot penumbra with strong
vertical fields. Making use of the observed mass and speed of the corresponding
coronal mass ejections (CMEs) , we find that the CMEs with larger momenta are
associated with stronger magnetic imprints. Furthermore, a linear relationship,
with a Kendall's Tau-b coefficient 0.54, between the CME momentum and the
change of Lorentz force is revealed. Based on that, we quantify the back
reaction time to be around 70 s, with a 90% confidence interval from about 50 s
to 90 s.
|
astro-ph.SR astro-ph.HE
|
magnetic imprints the rapid and irreversible evolution of photospheric magnetic fields as a feedback from flares in the corona have been confirmed by many previous studies these studies showed that the horizontal field will permanently increase at the polarity inversion line pil after eruptions indicating that a more horizontal geometry of photospheric magnetic field is produced in this study we analyze 20 xclass flares since the launch of the solar dynamics observatory sdo in 15 active regions ars with heliographic angle no greater than 45 degrees we observe clear magnetic imprints in 16 flares whereas 4 flares are exceptional the imprint regions of the horizontal field are located not only at the pil but also at sunspot penumbra with strong vertical fields making use of the observed mass and speed of the corresponding coronal mass ejections cmes we find that the cmes with larger momenta are associated with stronger magnetic imprints furthermore a linear relationship with a kendalls taub coefficient 054 between the cme momentum and the change of lorentz force is revealed based on that we quantify the back reaction time to be around 70 s with a 90 confidence interval from about 50 s to 90 s
|
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|
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|
1,803.08311
|
Maximal scarring for eigenfunctions of quantum graphs
|
We prove the existence of scarred eigenstates for star graphs with scattering
matrices at the central vertex which are either a Fourier transform matrix, or
a matrix that prohibits back-scattering. We prove the existence of scars that
are half-delocalised on a single bond. Moreover we show that the scarred states
we construct are maximal in the sense that it is impossible to have quantum
eigenfunctions with a significantly lower entropy than our examples.
These scarred eigenstates are on graphs that exhibit generic spectral
statistics of random matrix type in the large graph limit, and, in contrast to
other constructions, correspond to non-degenerate eigenvalues; they exist for
almost all choices of lengths.
|
math-ph math.MP math.SP
|
we prove the existence of scarred eigenstates for star graphs with scattering matrices at the central vertex which are either a fourier transform matrix or a matrix that prohibits backscattering we prove the existence of scars that are halfdelocalised on a single bond moreover we show that the scarred states we construct are maximal in the sense that it is impossible to have quantum eigenfunctions with a significantly lower entropy than our examples these scarred eigenstates are on graphs that exhibit generic spectral statistics of random matrix type in the large graph limit and in contrast to other constructions correspond to nondegenerate eigenvalues they exist for almost all choices of lengths
|
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|
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|
1,803.08312
|
Learning Eligibility in Cancer Clinical Trials using Deep Neural
Networks
|
Interventional cancer clinical trials are generally too restrictive, and some
patients are often excluded on the basis of comorbidity, past or concomitant
treatments, or the fact that they are over a certain age. The efficacy and
safety of new treatments for patients with these characteristics are,
therefore, not defined. In this work, we built a model to automatically predict
whether short clinical statements were considered inclusion or exclusion
criteria. We used protocols from cancer clinical trials that were available in
public registries from the last 18 years to train word-embeddings, and we
constructed a~dataset of 6M short free-texts labeled as eligible or not
eligible. A text classifier was trained using deep neural networks, with
pre-trained word-embeddings as inputs, to predict whether or not short
free-text statements describing clinical information were considered eligible.
We additionally analyzed the semantic reasoning of the word-embedding
representations obtained and were able to identify equivalent treatments for a
type of tumor analogous with the drugs used to treat other tumors. We show that
representation learning using {deep} neural networks can be successfully
leveraged to extract the medical knowledge from clinical trial protocols for
potentially assisting practitioners when prescribing treatments.
|
cs.CL cs.LG stat.ML
|
interventional cancer clinical trials are generally too restrictive and some patients are often excluded on the basis of comorbidity past or concomitant treatments or the fact that they are over a certain age the efficacy and safety of new treatments for patients with these characteristics are therefore not defined in this work we built a model to automatically predict whether short clinical statements were considered inclusion or exclusion criteria we used protocols from cancer clinical trials that were available in public registries from the last 18 years to train wordembeddings and we constructed adataset of 6m short freetexts labeled as eligible or not eligible a text classifier was trained using deep neural networks with pretrained wordembeddings as inputs to predict whether or not short freetext statements describing clinical information were considered eligible we additionally analyzed the semantic reasoning of the wordembedding representations obtained and were able to identify equivalent treatments for a type of tumor analogous with the drugs used to treat other tumors we show that representation learning using deep neural networks can be successfully leveraged to extract the medical knowledge from clinical trial protocols for potentially assisting practitioners when prescribing treatments
|
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|
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|
1,803.08313
|
The Nearly Boolean Nature of Core Regular Double Sone Algebras, CRDSA
(Ternary Set Partitions, CRDSA, Embeddings and Dual Equivalences)
|
In "Centre of Core Regular Double Stone Algebra" (CRDSA), many useful results
are shown that begin to indicate the nearly Boolean nature of CRDSA which we
focus on here. We define the node set lattice through the well known binary
operations of ternary set partitions and show the resultant lattice is
isomorphic to C3^J where C3 is the 3 element chain CRDSA. We derive that every
CRDSA is a subdirect product of C3 similarly as for Boolean algebras and C2. We
use these results to show that every Boolean algebra is the center of some
CRDSA. Next we show that C3 is primal implying that the variety generated by it
is dually equivalent to the category of Boolean algebras. In some sense this is
a last step towards our goal of establishing CRDSA as nearly Boolean, but
leaves us a bit dissatisfied. Hence we continue by establishing a duality
between the category of CRDSA and specifically crafted bi-topological spaces.
Towards this end we first establish necessary and sufficient conditions on a
pairwise zero-dimensional space such that it will have a CRDSA base B1. We note
that these conditions are indicative of how nearly Boolean CRDSA are. For
example, if u in B1 is not clopen/complemented then Cl(u) is in B1 and is
clopen/complemented. Then we establish necessary and sufficient conditions for
a bi-continuous map to have an inverse that is a CRDSA homomorphism again
indicating how nearly Boolean CRDSA are, these inverses must respect the
appropriate conditions on the boundary of non-clopen elements of B1. In
culmination we show the category of core regular double Stone algebras is
dually equivalent to the category of what we call core regular double pairwise
Stone spaces. We note that the conditions for this duality can easily be
relaxed to yield a duality for a less rigid class lattices than CRDSA, bounded
distributive pseudo-complemented lattices for example.
|
math.RA
|
in centre of core regular double stone algebra crdsa many useful results are shown that begin to indicate the nearly boolean nature of crdsa which we focus on here we define the node set lattice through the well known binary operations of ternary set partitions and show the resultant lattice is isomorphic to c3j where c3 is the 3 element chain crdsa we derive that every crdsa is a subdirect product of c3 similarly as for boolean algebras and c2 we use these results to show that every boolean algebra is the center of some crdsa next we show that c3 is primal implying that the variety generated by it is dually equivalent to the category of boolean algebras in some sense this is a last step towards our goal of establishing crdsa as nearly boolean but leaves us a bit dissatisfied hence we continue by establishing a duality between the category of crdsa and specifically crafted bitopological spaces towards this end we first establish necessary and sufficient conditions on a pairwise zerodimensional space such that it will have a crdsa base b1 we note that these conditions are indicative of how nearly boolean crdsa are for example if u in b1 is not clopencomplemented then clu is in b1 and is clopencomplemented then we establish necessary and sufficient conditions for a bicontinuous map to have an inverse that is a crdsa homomorphism again indicating how nearly boolean crdsa are these inverses must respect the appropriate conditions on the boundary of nonclopen elements of b1 in culmination we show the category of core regular double stone algebras is dually equivalent to the category of what we call core regular double pairwise stone spaces we note that the conditions for this duality can easily be relaxed to yield a duality for a less rigid class lattices than crdsa bounded distributive pseudocomplemented lattices for example
|
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|
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|
1,803.08314
|
Show, Tell and Discriminate: Image Captioning by Self-retrieval with
Partially Labeled Data
|
The aim of image captioning is to generate captions by machine to describe
image contents. Despite many efforts, generating discriminative captions for
images remains non-trivial. Most traditional approaches imitate the language
structure patterns, thus tend to fall into a stereotype of replicating frequent
phrases or sentences and neglect unique aspects of each image. In this work, we
propose an image captioning framework with a self-retrieval module as training
guidance, which encourages generating discriminative captions. It brings unique
advantages: (1) the self-retrieval guidance can act as a metric and an
evaluator of caption discriminativeness to assure the quality of generated
captions. (2) The correspondence between generated captions and images are
naturally incorporated in the generation process without human annotations, and
hence our approach could utilize a large amount of unlabeled images to boost
captioning performance with no additional laborious annotations. We demonstrate
the effectiveness of the proposed retrieval-guided method on COCO and Flickr30k
captioning datasets, and show its superior captioning performance with more
discriminative captions.
|
cs.CV
|
the aim of image captioning is to generate captions by machine to describe image contents despite many efforts generating discriminative captions for images remains nontrivial most traditional approaches imitate the language structure patterns thus tend to fall into a stereotype of replicating frequent phrases or sentences and neglect unique aspects of each image in this work we propose an image captioning framework with a selfretrieval module as training guidance which encourages generating discriminative captions it brings unique advantages 1 the selfretrieval guidance can act as a metric and an evaluator of caption discriminativeness to assure the quality of generated captions 2 the correspondence between generated captions and images are naturally incorporated in the generation process without human annotations and hence our approach could utilize a large amount of unlabeled images to boost captioning performance with no additional laborious annotations we demonstrate the effectiveness of the proposed retrievalguided method on coco and flickr30k captioning datasets and show its superior captioning performance with more discriminative captions
|
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|
[-0.01911468997016341, -0.011133779667322206, -0.043609186605642905, 0.11258947152992783, -0.1677801629487911, -0.14978977622209777, -0.004066272378430604, 0.4959359189556183, -0.2662751946709645, -0.3477558495570119, -0.00012742589381147432, -0.32969786216047886, -0.15975468017606306, 0.17085422350307752, -0.20672238444597085, 0.05359283965464207, 0.19113384449969462, 0.06122899119834768, -0.042032411845505054, -0.30866431411332595, 0.2887676885750677, 0.030128182619173795, 0.37557106186427547, 0.012438321711715335, 0.15886903799179455, -0.10445689821257169, -0.04660599190244301, -0.05826365049083873, 0.0037456022211067056, 0.21412591316908694, 0.3484415029268133, 0.269781440215891, 0.34143539444219484, -0.3840567280092965, -0.19899440295300128, 0.05352780387609595, 0.12660440847404902, 0.09452867470777475, -0.10296835682634337, -0.41769115223335274, 0.1256051080385281, -0.1661780786495193, 0.08112412349245748, -0.2009183893367787, -0.018123520217887965, -0.05596107756755147, -0.3117026782486883, 0.0049771603185290135, 0.13142853558840092, 0.06856058751412245, -0.046215287926722526, -0.05711156417621496, -0.015793627438927937, 0.2262641773313307, 0.07812604688593151, 0.10201998359251836, 0.14108480996797904, -0.2753908223503628, -0.15320366338439148, 0.4320104882606994, -0.04970708173433585, -0.2405088677921373, 0.22361019239269242, -0.04124660855911163, -0.10619719207622343, 0.11158860133532782, 0.185412133586888, 0.10799139237424694, -0.1472324321674825, -0.014638823609631393, -0.06130892851951052, 0.22935450383930567, 0.10182969204456725, 0.024092676530892945, 0.23900773649260124, 0.24834939674908144, -0.033277737623534705, 0.16824608539688105, -0.09433990615125028, -0.0011851894654773222, -0.1897404572770277, -0.11785541595681426, -0.1693358831208847, -0.025546487243643598, -0.07541077097198891, -0.14975988792012568, 0.41742103240851847, 0.29253937958259574, 0.22555858163131973, 0.10629018664039, 0.3538913827386586, -0.059077555965198356, 0.1428097077147885, 0.054383478055112296, 0.07968261686402449, -0.07682435226522571, 0.09753890926168757, -0.14608487174759463, 0.07184183750712307, 0.08129045355816296]
|
1,803.08315
|
Spin polarized phases in strongly interacting matter: interplay between
axial-vector and tensor mean fields
|
The spontaneous spin polarization of strongly interacting matter due to
axial-vector and tensor type interactions is studied at zero temperature and
high baryon-number densities. We start with the mean-field Lagrangian for the
axial-vector and tensor interaction channels, and find in the chiral limit that
the spin polarization due to the tensor mean field ($U$) takes place first as
the density increases for sufficiently strong coupling constants, and then that
due to the axial-vector mean field ($A$) emerges in the region of finite tensor
mean field. This can be understood that making the axial-vector mean field
finite requires a broken chiral symmetry somehow, which is achieved by the
finite tensor mean field in the present case. It is also found from symmetry
argument that there appear the type I (II) Nambu-Goldstone modes with a linear
(quadratic) dispersion in the spin polarized phase with $U\neq0$ and $A=0$
($U\neq0$ and $A\neq0$), although these two phases exhibit the same symmetry
breaking pattern.
|
hep-ph nucl-th
|
the spontaneous spin polarization of strongly interacting matter due to axialvector and tensor type interactions is studied at zero temperature and high baryonnumber densities we start with the meanfield lagrangian for the axialvector and tensor interaction channels and find in the chiral limit that the spin polarization due to the tensor mean field u takes place first as the density increases for sufficiently strong coupling constants and then that due to the axialvector mean field a emerges in the region of finite tensor mean field this can be understood that making the axialvector mean field finite requires a broken chiral symmetry somehow which is achieved by the finite tensor mean field in the present case it is also found from symmetry argument that there appear the type i ii nambugoldstone modes with a linear quadratic dispersion in the spin polarized phase with uneq0 and a0 uneq0 and aneq0 although these two phases exhibit the same symmetry breaking pattern
|
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|
[-0.16765277588716412, 0.2658903437336506, -0.06274933866232552, 0.06151318554972782, -0.07274191634422994, -0.13834831369392386, -0.004979762839613175, 0.35413808336693653, -0.2573356954793481, -0.23301386613328057, 0.0508538594917406, -0.24834816414815716, -0.11582439527493206, 0.0490729307569416, 0.07403498427788403, -0.02810312757162448, -0.0425556603939968, 0.07757084384631319, -0.08158974323563184, -0.18799632975295233, 0.3171339656544637, -0.033705360559699464, 0.29087364400112176, 0.10723867307968225, 0.0935455595159349, 0.015058854972071286, 0.0365765562894035, 0.03038546827303458, -0.07746220285848779, 0.03928330448408953, 0.20859583245356025, 0.009447450121817521, 0.17998324106211622, -0.41011170573721206, -0.1817907399521504, 0.10977892873844108, 0.14916252695566304, 0.14990337404917595, -0.048235545109491795, -0.2899283931511042, 0.07412819499577265, -0.17023895916387533, -0.16717210041559477, -0.09174925467748006, 0.020054783578520006, -0.03415588894858956, -0.29990034846919056, 0.1524360951128684, 0.05903592358912117, 0.07184215055784517, -0.05931509662525657, -0.1448149352416962, -0.07284551502877398, 0.04683619851093221, 0.13121491209220706, 0.08416481098289826, 0.10597745775277549, -0.20301635241094693, -0.06460189607725302, 0.3888044210940694, -0.13277854120264512, -0.16870302316744493, 0.1439788377802536, -0.1627702847451209, -0.09184987312481191, 0.13668514421368844, 0.13948098670314008, 0.09372983098065457, -0.09260454571723373, 0.1323283039393711, 0.005279652116366344, 0.14754226192967565, 0.02584976890961392, 0.03905483598148898, 0.2330002727788649, 0.0819962097470401, 0.060631680209484375, 0.10005387628400887, -0.07034679179233086, -0.11538448156730001, -0.34984339174779155, -0.10686899340251767, -0.18254294368744933, 0.07685467886629432, -0.08579387553148576, -0.12974090229637356, 0.3807063655356016, 0.09373709782361218, 0.17867269180899287, 0.05244892626290528, 0.2513176536547091, 0.14392710913229098, 0.10608501912719465, 0.07422165047448082, 0.3226312285796091, 0.23256841940212925, 0.09517881041687407, -0.27803877900395824, -0.014757297517911567, 0.042763272098477786]
|
1,803.08316
|
Graphene-Based Tunable Metasurface for All-angle Perfect Absorption
|
Motivated by the idea of smart metasurfaces, we will demonstrate a
graphene-based tunable absorber in which perfect absorption can be achieved for
all angles of incidence, only by tuning the Fermi level of graphene. We place
an unpatterned graphene sheet on a mushroom-type high impedance surface whose
resonant frequency is stable for all incident angles. For TM-polarization,
perfect absorption can be realized from normal to grazing incidence at the same
frequency when modulating the Fermi level of graphene from 0.18 eV to 1 eV.
|
physics.app-ph
|
motivated by the idea of smart metasurfaces we will demonstrate a graphenebased tunable absorber in which perfect absorption can be achieved for all angles of incidence only by tuning the fermi level of graphene we place an unpatterned graphene sheet on a mushroomtype high impedance surface whose resonant frequency is stable for all incident angles for tmpolarization perfect absorption can be realized from normal to grazing incidence at the same frequency when modulating the fermi level of graphene from 018 ev to 1 ev
|
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|
[-0.159399349253536, 0.21387523560874147, 0.013171446027367242, -0.04113659288573433, -0.042323177092752996, -0.17984036290796385, 0.10022118473231482, 0.47409217294660355, -0.2673787425834841, -0.31703209939102334, 0.008159264714430762, -0.27789340163802817, -0.1107562876672351, 0.2661727610324133, -0.03656641698797189, 0.024258701485537347, -0.011815948450627426, -0.07422444603538939, -0.03251118408626921, -0.17717609745228574, 0.2599837490935378, 0.0743712413823232, 0.31034721674708027, 0.08768377965316176, 0.10155027681806435, 0.030180027974503382, 0.12388175091750565, 0.024103310114393633, -0.09827401200752883, 0.09848964215433668, 0.30773558946592466, -0.08657710588470634, 0.1957128700880622, -0.40175445326825693, -0.19878583660327076, -0.0049965044461368095, 0.10681585709763956, 0.10213429870366651, -0.038379815236632045, -0.27342803811188787, 0.09732499169573809, -0.12203745954182177, -0.19290585033152075, 0.03543581937195822, -0.04947215590869919, -0.011559935974045879, -0.23573091954347633, 0.012912433472506347, -0.0030264033315082393, 0.05595051269933936, -0.06918143515663576, -0.12705291899675059, -0.11566753763638969, 0.03195155557651084, -0.031787632690143904, -0.04526684410700996, 0.17011396144620708, -0.12085370981505894, -0.06807480714217361, 0.3958125216512209, -0.07585539585090287, -0.11109947744296819, 0.114898046104437, -0.20161366050264665, 0.016424740908578747, 0.22873934009943955, 0.14194080652669072, 0.07608833635735902, -0.11290148509353803, 0.05681084947372299, -0.030138007564736263, 0.20409557940105774, 0.21074931437726177, 0.023196367923879906, 0.30135256989992093, 0.18212276185762935, 0.10936980154309865, 0.05074441790652816, -0.14250185844970734, 0.09702742361696437, -0.22667822587702954, -0.11812089511104637, -0.20473122650236336, 0.09885962584632493, -0.08531515779932738, -0.17302962600834212, 0.4228221010305874, 0.1149689742541384, 0.1923324312970397, -0.03280903363234496, 0.2940446659035626, 0.17699706842679352, 0.04472851347444313, -0.00043639436452871277, 0.32405075398717254, 0.08840458290762312, 0.034978657212507515, -0.16944224114108475, 0.04694590521402071, -0.035500011595320846]
|
1,803.08317
|
Quantum Repeated Interactions and the Chaos Game
|
Inspired by the algorithm of Barnsley's chaos game, we construct an open
quantum system model based on the repeated interaction process. We shown that
the quantum dynamics of the appropriate fermionic/bosonic system (in
interaction with an environment) provides a physical model of the chaos game.
When considering fermionic operators, we follow the system's evolution by
focusing on its reduced density matrix. The system is shown to be in a Gaussian
state (at all time $t$) and the average number of particles is shown to obey
the chaos game equation. Considering bosonic operators, with a system initially
prepared in coherent states, the evolution of the system can be tracked by
investigating the dynamics of the eigenvalues of the annihilation operator.
This quantity is governed by a chaos game-like equation from which different
scenarios emerge.
|
quant-ph
|
inspired by the algorithm of barnsleys chaos game we construct an open quantum system model based on the repeated interaction process we shown that the quantum dynamics of the appropriate fermionicbosonic system in interaction with an environment provides a physical model of the chaos game when considering fermionic operators we follow the systems evolution by focusing on its reduced density matrix the system is shown to be in a gaussian state at all time t and the average number of particles is shown to obey the chaos game equation considering bosonic operators with a system initially prepared in coherent states the evolution of the system can be tracked by investigating the dynamics of the eigenvalues of the annihilation operator this quantity is governed by a chaos gamelike equation from which different scenarios emerge
|
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|
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|
1,803.08318
|
Role of local structural distortion in driving ferroelectricity in
GdCrO3
|
Temperature dependent synchrotron x-ray diffraction and extended x-ray
absorption fine structure (EXAFS) studies were performed to understand the role
of structural characteristics in driving the magnetoelectric mul- tiferoic
properties of GdCrO3. The results suggest that the distortion in the structure
appears to be associated with the off-center displacement of Gd-atoms together
with octahedral rotations via displacement of the oxygen ions in GdCrO3. In
addition, the magnetic coupling below magnetic transition temperature leads to
additional distortion in the system via magnetostriction effect, playing a
complementary role in the enhancement of ferro- electric polarization. Further,
a comparative EXAFS study of GdCrO3 with a similar system YCrO3 suggests that
oxygen environment of Gd in GdCrO3 is different from Y in YCrO3, which
resulting in an orthorhombic P na21 structure in GdCrO3 in contrast to the
monoclinic P 21 structure in YCrO3 .
|
cond-mat.mtrl-sci
|
temperature dependent synchrotron xray diffraction and extended xray absorption fine structure exafs studies were performed to understand the role of structural characteristics in driving the magnetoelectric mul tiferoic properties of gdcro3 the results suggest that the distortion in the structure appears to be associated with the offcenter displacement of gdatoms together with octahedral rotations via displacement of the oxygen ions in gdcro3 in addition the magnetic coupling below magnetic transition temperature leads to additional distortion in the system via magnetostriction effect playing a complementary role in the enhancement of ferro electric polarization further a comparative exafs study of gdcro3 with a similar system ycro3 suggests that oxygen environment of gd in gdcro3 is different from y in ycro3 which resulting in an orthorhombic p na21 structure in gdcro3 in contrast to the monoclinic p 21 structure in ycro3
|
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|
[-0.12664776171247163, 0.15977901974617487, -0.045101949510475, -0.007061633255970837, -0.04050229795070158, -0.05037231404610254, 0.06544848215955965, 0.4658284396347072, -0.30122305212404443, -0.28865097988810806, 0.003427948795810894, -0.3055160346958372, -0.13270554749502075, 0.1266502294447963, 0.0408913120911974, -0.04155196492663688, -0.05404632661353659, -0.006330280475042484, -0.10628723100310675, -0.1636508257438739, 0.2527353634626639, 0.10507040239042706, 0.2948800175002328, 0.035358014944250934, -0.005097239367939808, 0.009003764004619033, 0.06141606279200426, 0.05185092496513217, -0.09876843594689422, 0.06393042073619587, 0.23690997733976002, -0.05439671262822769, 0.17692473720138271, -0.41799955833358343, -0.2052288116869965, -0.007350399280053184, 0.10727815023726887, 0.07528152562660613, -0.10180814868546333, -0.2403764788483925, 0.04523467566188494, -0.09019801406258786, -0.13173950046162913, -0.075284245099411, -0.031824388782735226, 0.01767786622426852, -0.27243131535921106, 0.11762065200687007, 0.09333016696144585, 0.1536793922936475, -0.17276810223788575, -0.11598881552582262, -0.09060020004226654, 0.05375688764465007, 0.05797410808262174, 0.0896509662054962, 0.14459657134074305, -0.062110459699329955, -0.10868066234721077, 0.39403651094547026, -0.06722532721512296, -0.061197116605385585, 0.1368121350666991, -0.23851624673439398, -0.15365175900084002, 0.20491713191279107, 0.14377590309811272, 0.06940293065272271, -0.12006709026345225, 0.08197526475716452, 0.0175882637164452, 0.23082955345097517, 0.07604273694256941, 0.06095977272079499, 0.20083412996113853, 0.17381267957044422, 0.008657353295496217, 0.18326810423233028, -0.12088905329065812, -0.022520337312447805, -0.20298187156656275, -0.1532780332516672, -0.10952350455681208, 0.06312092717529999, -0.11798545580553495, -0.16571518444042238, 0.32793642405972434, 0.12207355495645768, 0.20594177982873388, -0.15054578824503417, 0.23335622538622744, 0.020479414874204883, 0.07221693060429836, -0.013072823353663639, 0.2801980952542551, 0.20352713363072664, 0.14028957256081478, -0.34836647283734273, 0.13024453318298415, 0.008829227990160386]
|
1,803.08319
|
Learning to Detect and Track Visible and Occluded Body Joints in a
Virtual World
|
Multi-People Tracking in an open-world setting requires a special effort in
precise detection. Moreover, temporal continuity in the detection phase gains
more importance when scene cluttering introduces the challenging problems of
occluded targets. For the purpose, we propose a deep network architecture that
jointly extracts people body parts and associates them across short temporal
spans. Our model explicitly deals with occluded body parts, by hallucinating
plausible solutions of not visible joints. We propose a new end-to-end
architecture composed by four branches (visible heatmaps, occluded heatmaps,
part affinity fields and temporal affinity fields) fed by a time linker feature
extractor. To overcome the lack of surveillance data with tracking, body part
and occlusion annotations we created the vastest Computer Graphics dataset for
people tracking in urban scenarios by exploiting a photorealistic videogame. It
is up to now the vastest dataset (about 500.000 frames, almost 10 million body
poses) of human body parts for people tracking in urban scenarios. Our
architecture trained on virtual data exhibits good generalization capabilities
also on public real tracking benchmarks, when image resolution and sharpness
are high enough, producing reliable tracklets useful for further batch data
association or re-id modules.
|
cs.CV
|
multipeople tracking in an openworld setting requires a special effort in precise detection moreover temporal continuity in the detection phase gains more importance when scene cluttering introduces the challenging problems of occluded targets for the purpose we propose a deep network architecture that jointly extracts people body parts and associates them across short temporal spans our model explicitly deals with occluded body parts by hallucinating plausible solutions of not visible joints we propose a new endtoend architecture composed by four branches visible heatmaps occluded heatmaps part affinity fields and temporal affinity fields fed by a time linker feature extractor to overcome the lack of surveillance data with tracking body part and occlusion annotations we created the vastest computer graphics dataset for people tracking in urban scenarios by exploiting a photorealistic videogame it is up to now the vastest dataset about 500000 frames almost 10 million body poses of human body parts for people tracking in urban scenarios our architecture trained on virtual data exhibits good generalization capabilities also on public real tracking benchmarks when image resolution and sharpness are high enough producing reliable tracklets useful for further batch data association or reid modules
|
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|
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|
1,803.0832
|
MALBEC: a new CUDA-C ray-tracer in General Relativity
|
A new CUDA-C code for tracing orbits around non-charged black holes is
presented. This code, named MALBEC, take advantage of the graphic processing
units and the CUDA platform for tracking null and timelike test particles in
Schwarzschild and Kerr. Also, a new general set of equations that describe the
closed circular orbits of any timelike test particle in the equatorial plane is
derived. These equations are extremely important in order to compare the
analytical behavior of the orbits with the numerical results and verify the
correct implementation of the Runge-Kutta algorithm in MALBEC. Finally, other
numerical tests are performed, demonstrating that MALBEC is able to reproduce
some well-known results in these metrics in a faster and more efficient way
than a conventional CPU implementation.
|
gr-qc physics.comp-ph
|
a new cudac code for tracing orbits around noncharged black holes is presented this code named malbec take advantage of the graphic processing units and the cuda platform for tracking null and timelike test particles in schwarzschild and kerr also a new general set of equations that describe the closed circular orbits of any timelike test particle in the equatorial plane is derived these equations are extremely important in order to compare the analytical behavior of the orbits with the numerical results and verify the correct implementation of the rungekutta algorithm in malbec finally other numerical tests are performed demonstrating that malbec is able to reproduce some wellknown results in these metrics in a faster and more efficient way than a conventional cpu implementation
|
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|
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|
1,803.08321
|
Quenches near Ising quantum criticality as a challenge for artificial
neural networks
|
The near-critical unitary dynamics of quantum Ising spin chains in
transversal and longitudinal magnetic fields is studied using an artificial
neural network representation of the wave function. A focus is set on strong
spatial correlations which build up in the system following a quench into the
vicinity of the quantum critical point. We compare correlations observed
following reinforcement learning of the network states with analytical
solutions in integrable cases and tDMRG simulations, as well as with
predictions from a semi-classical discrete Truncated Wigner analysis. While the
semi-classical approach excells mainly at short times and for small transverse
fields, the neural-network representation provides accurate results for a much
wider range of parameters. Where long-range spin-spin correlations build up in
the long-time dynamics we find qualitative agreement with exact results while
quantitative deviations are of similar size as for the semi-classically
predicted correlations, and slow convergence is observed when increasing the
number of hidden neurons.
|
quant-ph cond-mat.dis-nn hep-ph
|
the nearcritical unitary dynamics of quantum ising spin chains in transversal and longitudinal magnetic fields is studied using an artificial neural network representation of the wave function a focus is set on strong spatial correlations which build up in the system following a quench into the vicinity of the quantum critical point we compare correlations observed following reinforcement learning of the network states with analytical solutions in integrable cases and tdmrg simulations as well as with predictions from a semiclassical discrete truncated wigner analysis while the semiclassical approach excells mainly at short times and for small transverse fields the neuralnetwork representation provides accurate results for a much wider range of parameters where longrange spinspin correlations build up in the longtime dynamics we find qualitative agreement with exact results while quantitative deviations are of similar size as for the semiclassically predicted correlations and slow convergence is observed when increasing the number of hidden neurons
|
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|
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|
1,803.08322
|
Nonmonotonic particle-size-dependence of magnetoelectric coupling in
strained nanosized particles of BiFeO$_3$
|
Using high resolution powder x-ray and neutron diffraction experiments, we
determined the off-centered displacement of the ions within a unit cell and
magnetoelectric coupling in nanoscale BiFeO$_3$ ($\approx$20-200 nm). We found
that both the off-centered displacement of the ions and magnetoelectric
coupling exhibit nonmonotonic variation with particle size. They increase as
the particle size reduces from bulk and reach maximum around 30 nm. With
further decrease in particle size, they decrease precipitously. The
magnetoelectric coupling is determined by the anomaly in off-centering of ions
around the magnetic transition temperature ($T_N$). The ions, in fact, exhibit
large anomalous displacement around the $T_N$ which is analyzed using group
theoretical approach. It underlies the nonmonotonic particle-size-dependence of
off-centre displacement of ions and magnetoelectric coupling. The nonmonotonic
variation of magnetoelectric coupling with particle size is further verified by
direct electrical measurement of remanent ferroelectric hysteresis loops at
room temperature under zero and $\sim$20 kOe magnetic field. Competition
between enhanced lattice strain and compressive pressure appears to be causing
the nonmonotonic particle-size-dependence of off-centre displacement while
coupling between piezo and magnetostriction leads to nonmonotonicity in the
variation of magnetoelectric coupling.
|
cond-mat.mtrl-sci
|
using high resolution powder xray and neutron diffraction experiments we determined the offcentered displacement of the ions within a unit cell and magnetoelectric coupling in nanoscale bifeo_3 approx20200 nm we found that both the offcentered displacement of the ions and magnetoelectric coupling exhibit nonmonotonic variation with particle size they increase as the particle size reduces from bulk and reach maximum around 30 nm with further decrease in particle size they decrease precipitously the magnetoelectric coupling is determined by the anomaly in offcentering of ions around the magnetic transition temperature t_n the ions in fact exhibit large anomalous displacement around the t_n which is analyzed using group theoretical approach it underlies the nonmonotonic particlesizedependence of offcentre displacement of ions and magnetoelectric coupling the nonmonotonic variation of magnetoelectric coupling with particle size is further verified by direct electrical measurement of remanent ferroelectric hysteresis loops at room temperature under zero and sim20 koe magnetic field competition between enhanced lattice strain and compressive pressure appears to be causing the nonmonotonic particlesizedependence of offcentre displacement while coupling between piezo and magnetostriction leads to nonmonotonicity in the variation of magnetoelectric coupling
|
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|
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|
1,803.08323
|
Prioritized Multi-View Stereo Depth Map Generation Using Confidence
Prediction
|
In this work, we propose a novel approach to prioritize the depth map
computation of multi-view stereo (MVS) to obtain compact 3D point clouds of
high quality and completeness at low computational cost. Our prioritization
approach operates before the MVS algorithm is executed and consists of two
steps. In the first step, we aim to find a good set of matching partners for
each view. In the second step, we rank the resulting view clusters (i.e. key
views with matching partners) according to their impact on the fulfillment of
desired quality parameters such as completeness, ground resolution and
accuracy. Additional to geometric analysis, we use a novel machine learning
technique for training a confidence predictor. The purpose of this confidence
predictor is to estimate the chances of a successful depth reconstruction for
each pixel in each image for one specific MVS algorithm based on the RGB images
and the image constellation. The underlying machine learning technique does not
require any ground truth or manually labeled data for training, but instead
adapts ideas from depth map fusion for providing a supervision signal. The
trained confidence predictor allows us to evaluate the quality of image
constellations and their potential impact to the resulting 3D reconstruction
and thus builds a solid foundation for our prioritization approach. In our
experiments, we are thus able to reach more than 70% of the maximal reachable
quality fulfillment using only 5% of the available images as key views. For
evaluating our approach within and across different domains, we use two
completely different scenarios, i.e. cultural heritage preservation and
reconstruction of single family houses.
|
cs.CV
|
in this work we propose a novel approach to prioritize the depth map computation of multiview stereo mvs to obtain compact 3d point clouds of high quality and completeness at low computational cost our prioritization approach operates before the mvs algorithm is executed and consists of two steps in the first step we aim to find a good set of matching partners for each view in the second step we rank the resulting view clusters ie key views with matching partners according to their impact on the fulfillment of desired quality parameters such as completeness ground resolution and accuracy additional to geometric analysis we use a novel machine learning technique for training a confidence predictor the purpose of this confidence predictor is to estimate the chances of a successful depth reconstruction for each pixel in each image for one specific mvs algorithm based on the rgb images and the image constellation the underlying machine learning technique does not require any ground truth or manually labeled data for training but instead adapts ideas from depth map fusion for providing a supervision signal the trained confidence predictor allows us to evaluate the quality of image constellations and their potential impact to the resulting 3d reconstruction and thus builds a solid foundation for our prioritization approach in our experiments we are thus able to reach more than 70 of the maximal reachable quality fulfillment using only 5 of the available images as key views for evaluating our approach within and across different domains we use two completely different scenarios ie cultural heritage preservation and reconstruction of single family houses
|
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|
[-0.03738833664561083, -0.011622923568566855, -0.07680723055342871, 0.05864659043140989, -0.10136525819771328, -0.14146933349591673, 0.10883713356878773, 0.424828199526169, -0.23739871865355486, -0.3771973501005091, 0.09313331561336378, -0.24320477758858333, -0.1028373402513168, 0.1687401979942841, -0.12892625317897882, 0.09742457798465078, 0.1121033436484824, 0.05426902895534229, -0.08001976574642437, -0.28758855821972684, 0.31239457937750503, 0.056199801386390025, 0.34078961562127214, -0.0025013765137243483, 0.152203783233601, 0.022041237873409933, -0.045631582169930095, -0.017115570143762585, -0.08096522682729787, 0.18133711646931575, 0.2840818192072815, 0.22519196808002048, 0.30421208693029683, -0.3876963595096442, -0.1647707488303794, 0.07042941363804966, 0.12340586182622622, 0.1176166772261206, -0.042478661259727754, -0.3061876662541181, 0.09303839481698307, -0.1287112537599904, -0.06056502666779535, -0.1143901063106548, -0.03977209354332417, -0.0272644290357436, -0.3100588233297677, 0.016569258879758138, 0.02606238311469989, 0.0777190864931694, -0.080611731660337, -0.11238168885745808, -0.008383236479721404, 0.20645407641120955, -0.012283526963197199, 0.06219170272833478, 0.13287877170561596, -0.172407794506323, -0.10340156159678796, 0.3838553142992524, -0.03792038124608956, -0.19389580221342526, 0.21213715310345047, -0.09070644202498593, -0.1544051808799631, 0.13352511345524398, 0.21076609770928448, 0.10433113315815362, -0.14433314199856995, -0.0056417425646914056, 0.0030110416149622516, 0.18681585559452082, 0.07429249319633034, 0.003651030402135146, 0.19262104149762527, 0.23260846909982874, 0.08707108665467765, 0.12399785105476883, -0.1655180052034837, -0.032890184146100024, -0.2775267314978112, -0.14808155169020779, -0.19116945013305858, -0.04285437188541676, -0.10417508313483104, -0.14113027881043158, 0.4046510571816978, 0.23234156032073833, 0.2171742401761528, 0.09365882132632598, 0.3695984804207158, 0.033576647253478156, 0.09144913384522822, 0.05904278617887933, 0.17998034139671468, 0.00884291777366254, 0.08322564053307183, -0.14598449022140217, 0.0787221409622895, 0.0730387626996586]
|
1,803.08324
|
Analysis of dependent scattering mechanism in hard-sphere Yukawa random
media
|
The structural correlations in the microscopic structures of random media can
induce the dependent scattering mechanism and thus influence the optical
scattering properties. Based on our recent theory on the dependent scattering
mechanism in random media composed of discrete dual-dipolar scatterers
(\textit{Physical Review A 97, 023836}), in this paper, we study the
hard-sphere Yukawa (HSY) random media, in order to further elucidate the role
of structural correlations in the dependent scattering mechanism and hence
optical scattering properties. Here, we consider charged colloidal suspensions,
whose effective pair interaction between colloids is described by a screened
Coulomb (Yukawa) potential. By means of adding salt ions, the pair interaction
between the charged particles can be flexibly tailored and therefore the
structural correlations are modified. It is shown that this strategy can affect
the optical properties significantly. For colloidal $\mathrm{TiO_2}$
suspensions, the modification of electric and magnetic dipole excitations
induced by the structural correlations can substantially influence the optical
scattering properties, in addition to the far-field interference effect
described by the structure factor. However, this modification is only slightly
altered by different salt concentrations and is mainly because of the
packing-density-dependent screening effect. On the other hand, for low
refractive index colloidal polystyrene suspensions, the dependent scattering
mechanism mainly involves the far-field interference effect, and the effective
exciting field amplitude for electric dipole almost remains unchanged under
different structural correlations. The present study has profound implications
for understanding the role of structural correlations in dependent scattering
mechanism.
|
cond-mat.dis-nn cond-mat.mes-hall physics.optics
|
the structural correlations in the microscopic structures of random media can induce the dependent scattering mechanism and thus influence the optical scattering properties based on our recent theory on the dependent scattering mechanism in random media composed of discrete dualdipolar scatterers textitphysical review a 97 023836 in this paper we study the hardsphere yukawa hsy random media in order to further elucidate the role of structural correlations in the dependent scattering mechanism and hence optical scattering properties here we consider charged colloidal suspensions whose effective pair interaction between colloids is described by a screened coulomb yukawa potential by means of adding salt ions the pair interaction between the charged particles can be flexibly tailored and therefore the structural correlations are modified it is shown that this strategy can affect the optical properties significantly for colloidal mathrmtio_2 suspensions the modification of electric and magnetic dipole excitations induced by the structural correlations can substantially influence the optical scattering properties in addition to the farfield interference effect described by the structure factor however this modification is only slightly altered by different salt concentrations and is mainly because of the packingdensitydependent screening effect on the other hand for low refractive index colloidal polystyrene suspensions the dependent scattering mechanism mainly involves the farfield interference effect and the effective exciting field amplitude for electric dipole almost remains unchanged under different structural correlations the present study has profound implications for understanding the role of structural correlations in dependent scattering mechanism
|
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|
[-0.1332481859059044, 0.2430169605061868, -0.08579313291314368, 0.0694997848404455, -0.04722872740336849, -0.1184446902538184, 0.011979221086464046, 0.3992153030044089, -0.2983550450997427, -0.3046655638104615, -0.006741435203002766, -0.29354377711036556, -0.20790882631748295, 0.10936601378489286, 0.05123869522940368, 0.01927384808465528, -0.018498957230864713, -0.03825969753282455, -0.024510652986646165, -0.1845272092682232, 0.31899273583161025, 0.07257960983163987, 0.3310849947641448, 0.1500097858804414, 0.042558698245557025, 0.11563655754531889, -0.017673920607194304, 0.05190608472718547, -0.0977788151146342, 0.10087880148857949, 0.17014587813221926, -0.04761203934710163, 0.18222131045477, -0.4588131608266849, -0.2500632321306815, 0.07267141514069711, 0.17327392900867078, 0.12480907700567817, -0.11580574282706949, -0.27363063868445653, 0.009344806069081339, -0.11959417316344721, -0.12087210232081512, -0.07536739467565591, 0.031011914365323415, 0.05863273865688825, -0.2658797984547467, 0.1087544447206407, 0.0678599944571033, 0.043465111470626046, -0.08782301055228649, -0.08957920246369516, 0.010114320287054094, 0.08709540608372966, 0.054842731555011896, -0.032912913836965645, 0.22490392992816244, -0.1665508629492251, -0.06074344894247285, 0.39978491712827235, -0.058017009003636606, -0.193626678630244, 0.183675265146303, -0.15245996021743244, -0.07382595399588657, 0.16380342266056686, 0.19201752158478486, 0.10919026011639896, -0.1992250770138829, 0.06999673842383344, -0.00013696834600220124, 0.1915077899810664, 0.0714554201986175, 0.08584708994215665, 0.23290855380594924, 0.19182159103026303, -0.02171082486238447, 0.14459884585012334, -0.07291832684956413, -0.06760253122677871, -0.21575218481011688, -0.08750337139548113, -0.16988604556536302, 0.03631878407413751, -0.11090864849502395, -0.16010229787437613, 0.36556910646771335, 0.13662297937941428, 0.15799643642094452, -0.044294837814231866, 0.2580276853783289, 0.07393518565853203, 0.05549865852226503, -0.01734387658070773, 0.32317771012118707, 0.15617590787296648, 0.1174511471685643, -0.30597341003255374, 0.12848621860466664, 0.042835703222469115]
|
1,803.08325
|
A novel real time geolocation tracking tool
|
Global Positioning System (GPS) is a satellite network that transmits
regularly encoded information and makes it possible to pinpoint the exact
location on Earth by measuring the distance between satellites and the
receiver. While GPS satellites continually emit radio signals, receivers are
able to receive these signals. This study proposes a tool in which an
electronic circuit that is consisted of integration of SIM908 shield and
Arduino card is used as a GPS receiver. The positional data obtained from GPS
satellites yields error due to the noise of the signals. Accordingly, in this
study Kalman and Average filters are applied respectively in order to reduce
these faults and handle the overall positional error. Several experiments were
carried out in order to verify the performance of the filters within the GPS
data. The results of these enhanced systems are compared with the initial
configuration of the system severally. Especially the results obtained using
the Kalman filter is quite encouraging.
|
cs.SY
|
global positioning system gps is a satellite network that transmits regularly encoded information and makes it possible to pinpoint the exact location on earth by measuring the distance between satellites and the receiver while gps satellites continually emit radio signals receivers are able to receive these signals this study proposes a tool in which an electronic circuit that is consisted of integration of sim908 shield and arduino card is used as a gps receiver the positional data obtained from gps satellites yields error due to the noise of the signals accordingly in this study kalman and average filters are applied respectively in order to reduce these faults and handle the overall positional error several experiments were carried out in order to verify the performance of the filters within the gps data the results of these enhanced systems are compared with the initial configuration of the system severally especially the results obtained using the kalman filter is quite encouraging
|
[['global', 'positioning', 'system', 'gps', 'is', 'a', 'satellite', 'network', 'that', 'transmits', 'regularly', 'encoded', 'information', 'and', 'makes', 'it', 'possible', 'to', 'pinpoint', 'the', 'exact', 'location', 'on', 'earth', 'by', 'measuring', 'the', 'distance', 'between', 'satellites', 'and', 'the', 'receiver', 'while', 'gps', 'satellites', 'continually', 'emit', 'radio', 'signals', 'receivers', 'are', 'able', 'to', 'receive', 'these', 'signals', 'this', 'study', 'proposes', 'a', 'tool', 'in', 'which', 'an', 'electronic', 'circuit', 'that', 'is', 'consisted', 'of', 'integration', 'of', 'sim908', 'shield', 'and', 'arduino', 'card', 'is', 'used', 'as', 'a', 'gps', 'receiver', 'the', 'positional', 'data', 'obtained', 'from', 'gps', 'satellites', 'yields', 'error', 'due', 'to', 'the', 'noise', 'of', 'the', 'signals', 'accordingly', 'in', 'this', 'study', 'kalman', 'and', 'average', 'filters', 'are', 'applied', 'respectively', 'in', 'order', 'to', 'reduce', 'these', 'faults', 'and', 'handle', 'the', 'overall', 'positional', 'error', 'several', 'experiments', 'were', 'carried', 'out', 'in', 'order', 'to', 'verify', 'the', 'performance', 'of', 'the', 'filters', 'within', 'the', 'gps', 'data', 'the', 'results', 'of', 'these', 'enhanced', 'systems', 'are', 'compared', 'with', 'the', 'initial', 'configuration', 'of', 'the', 'system', 'severally', 'especially', 'the', 'results', 'obtained', 'using', 'the', 'kalman', 'filter', 'is', 'quite', 'encouraging']]
|
[-0.1438800637983972, 0.0187928133302518, -0.07260046368998707, 0.05909365932397829, -0.039281267478504474, -0.1532333020186111, 0.0451270085714971, 0.4258856030453922, -0.2366322875052548, -0.3466633138466318, 0.15509075915535828, -0.3149903029660178, -0.1426471324732444, 0.21733301449685719, -0.101892395231244, 0.06261850452750542, 0.08070407991347965, 0.04509038253017007, -0.040351624067080843, -0.22242966410778106, 0.22264603555060117, 0.13798057258345636, 0.26852650133667477, -0.07566198846325278, 0.12084405644867972, 0.0044739345818235994, -0.07642862968336625, -0.035257742233770144, -0.030062173926705276, 0.10095047072809972, 0.2906236036066678, 0.12061585606651226, 0.22429520118340945, -0.42919775761758827, -0.1734778279391159, 0.07531224879892959, 0.10355801951246942, 0.09130101061980744, -0.030211210331677868, -0.3840838360131546, 0.11079456770472276, -0.16006648612273916, -0.09311940448353465, -0.027284994798528542, -0.03976741642246296, 0.08526916684809728, -0.25836539271459646, 0.02715416027642312, 0.005393469214193214, 0.05165149764436635, -0.04502750797031127, -0.10286517233282304, -0.017468213824448502, 0.20144507772093462, 0.041090690640578416, 0.0007027186398471522, 0.17040123686989306, -0.06447465220098472, -0.10401728739784022, 0.38043709443941426, -0.02000371162382186, -0.1778924400031353, 0.18332782985233245, -0.11228553582409954, -0.09290369846828424, 0.15625698667517893, 0.20845879997559794, 0.02992308272677622, -0.1939115023869238, -0.0017958694055326472, 0.02402911885718631, 0.231390358396705, 0.05888665923967388, 0.07384117389723265, 0.18060810076055017, 0.14070918141110877, 0.1121972172349027, 0.13046741816304197, -0.1956033601034818, -0.06006620882952491, -0.2243141621046486, -0.09875897088927472, -0.199998402357054, -0.012926761889948872, -0.06097351096429236, -0.08201446651724303, 0.3860615072000748, 0.21784422398918563, 0.16133163747478538, 0.05389326840719196, 0.35726563790872407, 0.08393820880238963, 0.10209817853963869, 0.08930635739378869, 0.25467851960284127, 0.08620291769839705, 0.11872098959276488, -0.19149800590358104, 0.07056885814163716, -0.026046481490680937]
|
1,803.08326
|
Revisiting Gray Pixel for Statistical Illumination Estimation
|
We present a statistical color constancy method that relies on novel gray
pixel detection and mean shift clustering. The method, called Mean Shifted Grey
Pixel -- MSGP, is based on the observation: true-gray pixels are aligned
towards one single direction. Our solution is compact, easy to compute and
requires no training. Experiments on two real-world benchmarks show that the
proposed approach outperforms state-of-the-art methods in the camera-agnostic
scenario. In the setting where the camera is known, MSGP outperforms all
statistical methods.
|
cs.CV
|
we present a statistical color constancy method that relies on novel gray pixel detection and mean shift clustering the method called mean shifted grey pixel msgp is based on the observation truegray pixels are aligned towards one single direction our solution is compact easy to compute and requires no training experiments on two realworld benchmarks show that the proposed approach outperforms stateoftheart methods in the cameraagnostic scenario in the setting where the camera is known msgp outperforms all statistical methods
|
[['we', 'present', 'a', 'statistical', 'color', 'constancy', 'method', 'that', 'relies', 'on', 'novel', 'gray', 'pixel', 'detection', 'and', 'mean', 'shift', 'clustering', 'the', 'method', 'called', 'mean', 'shifted', 'grey', 'pixel', 'msgp', 'is', 'based', 'on', 'the', 'observation', 'truegray', 'pixels', 'are', 'aligned', 'towards', 'one', 'single', 'direction', 'our', 'solution', 'is', 'compact', 'easy', 'to', 'compute', 'and', 'requires', 'no', 'training', 'experiments', 'on', 'two', 'realworld', 'benchmarks', 'show', 'that', 'the', 'proposed', 'approach', 'outperforms', 'stateoftheart', 'methods', 'in', 'the', 'cameraagnostic', 'scenario', 'in', 'the', 'setting', 'where', 'the', 'camera', 'is', 'known', 'msgp', 'outperforms', 'all', 'statistical', 'methods']]
|
[-0.04720779753122956, -0.009562729210115205, -0.09793916992986432, 0.03135980085099641, -0.09679812854394698, -0.16271742294208172, -0.010217897561139977, 0.49162620855256534, -0.1909071387997709, -0.31409807863812417, 0.07005317946478055, -0.2888403972849632, -0.1517267498689202, 0.2309092268682061, -0.14721906795801212, 0.038229580891008176, 0.11845205758865444, 0.06265355443629698, -0.09898454638030858, -0.2587066048708482, 0.26882579219557395, -0.0023574068372209486, 0.384289185791157, 0.002645449865107926, 0.17947137096108726, -0.0034550374302153406, -0.07798010885464744, 0.01436973245551762, -0.0337243573092751, 0.14868858598698026, 0.20449104998260736, 0.1663943829644734, 0.26219704288702744, -0.3340916085558442, -0.20530858325461546, 0.0864465852545646, 0.12706732899189377, 0.0964400278380475, -0.07846987651786409, -0.294293334086736, 0.1139933805888853, -0.08713799340125078, -0.009580441786406131, -0.08665530123294164, -0.03590928496589932, -0.017504186190378208, -0.2804835249478809, 0.10738594193930905, 0.054269809066914976, 0.015248683699144002, -0.05556721339384333, -0.17445688581882188, 0.05358020786064653, 0.07908924942454085, -0.020602593852135424, 0.04625651908990664, 0.15547870418343407, -0.12295739236884774, -0.16190575420832595, 0.3863608416241522, -0.1077548145265796, -0.21328241707016835, 0.16672036088465786, -0.05742890639484335, -0.15679933085368994, 0.11740411587584859, 0.16534733238558358, 0.2097146600508728, -0.10140231963566457, 0.03746667480878293, -0.0695595408980854, 0.2088887222493306, 0.025137366491178863, -0.03939949194691741, 0.16640945342488778, 0.2423390773578714, 0.10786722098978666, 0.11900658106270175, -0.2374093045319359, -0.12758568634326833, -0.26189612126192796, -0.08568015461265205, -0.2445073225072776, -0.08706425443196143, -0.10109519114298447, -0.16335468729719138, 0.38604344308185273, 0.2660683009666033, 0.17323245909602308, 0.10062590475456837, 0.4113105366436335, 0.04944957276800265, 0.11235114859823042, 0.09336158239211027, 0.2267212012830453, 0.03175561446159218, 0.05974403689376628, -0.1715855561495305, 0.07196552567900373, 0.1009423858486116]
|
1,803.08327
|
Phonon as environmental disturbance in three level system
|
This work investigates the effect of phonon coupling on the transfer of
population and creation of coherence using variant of stimulated Raman
adiabatic passage (STIRAP) known as \emph{fractional} stimulated Raman
adiabatic passage (FSTIRAP). The study is based on the Liouville equation,
which is solved numerically in the adiabatic limit. Although the phonon is
assumed to be coupled only to the intermediate state, it is coupled to the
other two states by dipolar system-environment interaction, inducing phonon
coupling to the other states which are not directly in contact with the phonon.
At zero temperature the STIRAP pulse protocol's efficiency of the transfer
decreases exponentially with the electron-phonon coupling, until the coupling
strength is strong enough to make the process fully incoherent, in which case
the population transfer is $\frac{1}{3}$ in each level. For the FSTIRAP
protocol we find that the transferred population to target state decreases,
leaving some population on the intermediate state. Consequently, there is an
increase in the magnitude of the coherences $\rho_{01}, \rho_{12}$, albeit
small. Furthermore population transfer for non-zero temperature and effect of
coupling strength is investigated, it is observed that while both parameters
negatively influence the efficiency of transfer the former decrease the
transfer exponentially, thereby equilibrating the system fast, while the latter
seen to decrease the transfer monotonically, and hence equilibrates slowly.
|
quant-ph
|
this work investigates the effect of phonon coupling on the transfer of population and creation of coherence using variant of stimulated raman adiabatic passage stirap known as emphfractional stimulated raman adiabatic passage fstirap the study is based on the liouville equation which is solved numerically in the adiabatic limit although the phonon is assumed to be coupled only to the intermediate state it is coupled to the other two states by dipolar systemenvironment interaction inducing phonon coupling to the other states which are not directly in contact with the phonon at zero temperature the stirap pulse protocols efficiency of the transfer decreases exponentially with the electronphonon coupling until the coupling strength is strong enough to make the process fully incoherent in which case the population transfer is frac13 in each level for the fstirap protocol we find that the transferred population to target state decreases leaving some population on the intermediate state consequently there is an increase in the magnitude of the coherences rho_01 rho_12 albeit small furthermore population transfer for nonzero temperature and effect of coupling strength is investigated it is observed that while both parameters negatively influence the efficiency of transfer the former decrease the transfer exponentially thereby equilibrating the system fast while the latter seen to decrease the transfer monotonically and hence equilibrates slowly
|
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|
[-0.13500185593563532, 0.22612071198939446, -0.051184965508951366, 0.035363900498582616, -0.012068552402822378, -0.16065633492029277, 0.08199009519448067, 0.3795736551902811, -0.3102310321997628, -0.2700587536362837, 0.042726060694774554, -0.2784019990637469, -0.05978575688550755, 0.17366393179469636, 0.03347007116337182, 0.010496894757087398, 0.06037782761268318, 0.043925881103616775, -0.01584302523486694, -0.2047991456736463, 0.32120430499501956, 0.07824346670679198, 0.31885200719164536, 0.0832635462981507, 0.06291587498785514, 0.008973083702401014, 0.05903771097132344, -0.064358828503484, -0.08175357242581845, 0.05740428640998574, 0.22197284820636579, 0.028601973388378384, 0.2731645587050626, -0.40676116433492454, -0.22284781514486718, 0.07895128693150502, 0.18312582660633814, 0.17445096333483276, -0.024992853216397735, -0.23871812712259521, 0.003248483455754132, -0.17448712571863137, -0.10315240304788342, -0.053206627042577836, 0.049115518369810644, -0.015498075981877642, -0.25167957629068555, 0.10634489994590526, 0.07981629864407128, -0.005797123317585288, -0.06766106333092181, -0.051196080857291305, -0.0677219916216617, 0.12503405866504985, 0.0598261441705772, 0.033203004523687935, 0.17387701825921162, -0.12171965007550054, -0.05446701751772984, 0.32416186157897253, -0.11658019729898512, -0.13501112884519972, 0.19447366855791792, -0.1454357780400269, -0.041424138689293497, 0.16166494354983355, 0.10174928361942674, 0.1317678140004247, -0.1077783883888326, 0.05821672646883523, 0.04571466613346325, 0.1935261422575104, 0.051954627747342746, 0.05598803652527695, 0.1495715284050541, 0.15179170711257833, 0.05906547507333402, 0.15316686772769275, -0.0819871632869394, -0.15923487885065446, -0.2232068983080458, -0.12452264577965788, -0.21995888962753735, 0.09334516965614874, -0.046357038879162454, -0.14085874487195285, 0.36625953649775844, 0.15192298675578275, 0.1921769088619144, 0.0336409931477215, 0.2908756643027273, 0.20416165700274594, 0.06341608838512978, 0.06495484552444881, 0.326811473250785, 0.1792215570831062, 0.08861135016034533, -0.35570640728083625, 0.10296386786122819, -0.005461074027752135]
|
1,803.08328
|
PANDA: A Dual Linearly Converging Method for Distributed Optimization
over Time-Varying Undirected Graphs
|
In this paper we consider a distributed convex optimization problem over
time-varying networks. We propose a dual method that converges R-linearly to
the optimal point given that the agents' objective functions are strongly
convex and have Lipschitz continuous gradients. The proposed method requires
half the amount of variable exchanges per iterate than methods based on DIGing,
and yields improved practical performance as empirically demonstrated.
|
math.OC
|
in this paper we consider a distributed convex optimization problem over timevarying networks we propose a dual method that converges rlinearly to the optimal point given that the agents objective functions are strongly convex and have lipschitz continuous gradients the proposed method requires half the amount of variable exchanges per iterate than methods based on diging and yields improved practical performance as empirically demonstrated
|
[['in', 'this', 'paper', 'we', 'consider', 'a', 'distributed', 'convex', 'optimization', 'problem', 'over', 'timevarying', 'networks', 'we', 'propose', 'a', 'dual', 'method', 'that', 'converges', 'rlinearly', 'to', 'the', 'optimal', 'point', 'given', 'that', 'the', 'agents', 'objective', 'functions', 'are', 'strongly', 'convex', 'and', 'have', 'lipschitz', 'continuous', 'gradients', 'the', 'proposed', 'method', 'requires', 'half', 'the', 'amount', 'of', 'variable', 'exchanges', 'per', 'iterate', 'than', 'methods', 'based', 'on', 'diging', 'and', 'yields', 'improved', 'practical', 'performance', 'as', 'empirically', 'demonstrated']]
|
[-0.10274039370415267, -0.007195776248408947, -0.07596494360041106, 0.036763555041034124, -0.07546560902846977, -0.14730948685246403, 0.08331386705867772, 0.4562362334690988, -0.2911969955821405, -0.2373313925927505, 0.10093040421452315, -0.250549884774955, -0.2029503048834158, 0.19683992039063014, -0.14574958695448004, 0.12129719978838693, 0.09542149779736064, 0.025782097582123242, -0.09142857815459138, -0.34118802950615645, 0.28690911301418964, -0.0018645841992110945, 0.2916593175177695, 0.028678089583991095, 0.19373578043268935, 0.019280716674984433, -0.0058856772593571804, 0.050128059010603465, -0.09027959974378064, 0.16259104740856856, 0.2472596075385809, 0.1913037692938815, 0.40134405926801264, -0.3936434209936124, -0.19855031906627119, 0.1740344375357381, 0.16144475359033095, 0.013368325846386142, -0.07241152087408409, -0.2046746259147767, 0.10100315523231984, -0.12730805546198098, -0.05038860617787577, -0.09143160667736083, -0.053358795143140014, 0.06898445941624232, -0.3523936942801811, 0.06280969663885116, 0.019852106357575394, 0.008942360967921559, -0.08510766375366074, -0.14605648463475518, 0.02801139541406883, 0.05796605827890744, 0.03288276902276266, 0.10252820316236466, 0.1524078318325337, -0.04399814518910716, -0.13847121110302396, 0.3338150195486378, -0.0653952155528259, -0.28777113661635667, 0.14652066719645518, -0.05452010396402329, -0.12412021899217507, 0.13629817756009288, 0.2426937122581876, 0.22648880402266514, -0.14741126885382982, 0.07989514403197973, -0.06584499069140293, 0.16440393305902035, 0.017067585031327326, 0.012831864572945051, 0.10597588581003947, 0.1845614284175099, 0.2180080376310798, 0.19081883018952794, -0.03648807507488527, -0.1595043177221669, -0.2545090193161741, -0.10052799357799813, -0.2130647197845974, -0.0015809784235898405, -0.11500309209759507, -0.15168581626494415, 0.38783454027725384, 0.18005308290594257, 0.17049047536420403, 0.16867505072877975, 0.3301977940427605, 0.13120557258480403, 0.026344603087636642, 0.14916462756809779, 0.19632300388184376, 0.06269185450219084, 0.09855649648488907, -0.2076822720337077, 0.12025656001787866, 0.09669118706369773]
|
1,803.08329
|
Supergravity limit of genus two modular graph functions in the worldline
formalism
|
We consider the contributions upto the $D^{10} \mathcal{R}^4$ terms in the
low momentum expansion of the two loop four graviton amplitude in maximal
supergravity that arise in the field theory limit of genus two modular graph
functions that result from the low momentum expansion of the four graviton
amplitude in toroidally compactified type II string theory, using the worldline
formalism of the first quantized superparticle. The expression for the two loop
supergravity amplitude in the worldline formalism allows us to obtain
contributions from the individual graphs, unlike the expression for the same
amplitude obtained using unitarity cuts which only gives the total contribution
from the sum of all the graphs. Our two loop analysis is field theoretic, and
does not make explicit use of the genus two string amplitude.
|
hep-th
|
we consider the contributions upto the d10 mathcalr4 terms in the low momentum expansion of the two loop four graviton amplitude in maximal supergravity that arise in the field theory limit of genus two modular graph functions that result from the low momentum expansion of the four graviton amplitude in toroidally compactified type ii string theory using the worldline formalism of the first quantized superparticle the expression for the two loop supergravity amplitude in the worldline formalism allows us to obtain contributions from the individual graphs unlike the expression for the same amplitude obtained using unitarity cuts which only gives the total contribution from the sum of all the graphs our two loop analysis is field theoretic and does not make explicit use of the genus two string amplitude
|
[['we', 'consider', 'the', 'contributions', 'upto', 'the', 'd10', 'mathcalr4', 'terms', 'in', 'the', 'low', 'momentum', 'expansion', 'of', 'the', 'two', 'loop', 'four', 'graviton', 'amplitude', 'in', 'maximal', 'supergravity', 'that', 'arise', 'in', 'the', 'field', 'theory', 'limit', 'of', 'genus', 'two', 'modular', 'graph', 'functions', 'that', 'result', 'from', 'the', 'low', 'momentum', 'expansion', 'of', 'the', 'four', 'graviton', 'amplitude', 'in', 'toroidally', 'compactified', 'type', 'ii', 'string', 'theory', 'using', 'the', 'worldline', 'formalism', 'of', 'the', 'first', 'quantized', 'superparticle', 'the', 'expression', 'for', 'the', 'two', 'loop', 'supergravity', 'amplitude', 'in', 'the', 'worldline', 'formalism', 'allows', 'us', 'to', 'obtain', 'contributions', 'from', 'the', 'individual', 'graphs', 'unlike', 'the', 'expression', 'for', 'the', 'same', 'amplitude', 'obtained', 'using', 'unitarity', 'cuts', 'which', 'only', 'gives', 'the', 'total', 'contribution', 'from', 'the', 'sum', 'of', 'all', 'the', 'graphs', 'our', 'two', 'loop', 'analysis', 'is', 'field', 'theoretic', 'and', 'does', 'not', 'make', 'explicit', 'use', 'of', 'the', 'genus', 'two', 'string', 'amplitude']]
|
[-0.17146068410370355, 0.15972425121193132, -0.09763371865734342, 0.10523051781265802, -0.08397544456949067, -0.09639894810700139, 0.012271196103127774, 0.2733892144386245, -0.1820598246616333, -0.2816272497812445, 0.06004085548694946, -0.25906249707352186, -0.15798727470962692, 0.17074622180630533, -0.02132068552408916, -0.005826161138337943, 0.03253350229284098, 0.10464658687078907, -0.07070743123993509, -0.23886279300393992, 0.3562811350796458, -0.033865347432420236, 0.26698554145865316, 0.04642316993585853, 0.11934823231490026, 0.0461890213390047, -0.05878606638257471, 0.002360226794023269, -0.10581749522855033, 0.1367052302058685, 0.208388952296516, 0.0884995772900392, 0.10889128433872564, -0.4388424348764757, -0.1719588949850421, 0.07428048210139133, 0.19302198145711838, 0.1612348820997922, 0.07551642507314682, -0.1881387186085069, 0.013775658014035502, -0.20270714901618717, -0.15784939018244198, -0.045076923082084504, -0.007397341222480633, -0.09908100431279619, -0.22474884607489834, 0.07663044256569687, 0.007934087152816644, 0.006490585098201915, -0.04042684740807442, -0.12908625459368883, -0.042743975536666756, 0.12157885115882454, 0.1008649616070857, 0.06847641652796504, 0.09838347822832044, -0.17808263649615322, -0.14510196593207444, 0.31236462607662113, -0.11047978595967671, -0.20589675382501627, 0.08601656142448963, -0.19818660416532047, -0.1691839943979253, 0.16388906176967272, 0.08756102669204391, 0.1487981568387522, -0.14132447193499453, 0.20813757268163238, 0.03300174631452722, 0.12821713084167288, 0.14775410794847926, 0.047627516300237, 0.19484087273247483, 0.04206138741326078, 0.014268379585362624, 0.15605403635968534, -0.07693294034332268, -0.1222626556635134, -0.43248341620950276, -0.08944789151794885, -0.12383661638717926, 0.0663252060091558, -0.19594213556732473, -0.1945896038700747, 0.39998433508643116, 0.11044744774699211, 0.17750989851115864, 0.10913086194606397, 0.2902951317572201, 0.13433805969769366, 0.0920577684937175, 0.07183735476907833, 0.26663506856411984, 0.1859281788717291, 0.07217517255466113, -0.2587296358046172, -0.10007337564710787, 0.18586838217235582]
|
1,803.0833
|
Two-loop self-energy in the Lamb shift of the ground and excited states
of hydrogen-like ions
|
The two-loop self-energy correction to the Lamb shift of hydrogen-like ions
is calculated for the $1s$, $2s$, and $2p_{1/2}$ states and nuclear charge
numbers $Z = 30$-$100$. The calculation is performed to all orders in the
nuclear binding strength parameter $Z\alpha$. As compared to previous
calculations of this correction, numerical accuracy is improved by an order of
magnitude and the region of the nuclear charges is extended. An analysis of the
$Z$-dependence of the obtained results demonstrates their consistency with the
known $Z\alpha$-expansion coefficients.
|
physics.atom-ph
|
the twoloop selfenergy correction to the lamb shift of hydrogenlike ions is calculated for the 1s 2s and 2p_12 states and nuclear charge numbers z 30100 the calculation is performed to all orders in the nuclear binding strength parameter zalpha as compared to previous calculations of this correction numerical accuracy is improved by an order of magnitude and the region of the nuclear charges is extended an analysis of the zdependence of the obtained results demonstrates their consistency with the known zalphaexpansion coefficients
|
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|
[-0.08863328446645334, 0.1278617862441594, -0.005695032696407962, 0.08419990833254015, 0.044831807697079624, -0.04535468833812748, 0.06404684924980603, 0.34671494400644876, -0.17516871233167777, -0.31235797133251847, -0.0012296490576006024, -0.3511345056166132, 0.010510566631747207, 0.1624691316560584, 0.06259707068282472, 0.050103805156940795, 0.014496226323746055, 0.05502461220126554, -0.11818492825490882, -0.19363488283861113, 0.2715959284673389, 0.1120830953474639, 0.19292923544410123, 0.13045758947011937, 0.013639883452420494, -0.003681074418351952, -0.026738231777247178, -0.016957106035068094, -0.12944733329027533, 0.11351351584349927, 0.23183423199926514, 0.005735005498919861, 0.2117373478621334, -0.37582737937322763, -0.1557726143264627, 0.03657279324757092, 0.142444338391434, 0.15394780284399728, -0.0388657809627882, -0.29168896933636035, 0.042158057697184656, -0.22363671984703068, -0.16718978042635751, -0.12448582447032971, 0.03503397259165544, 0.018881424072097582, -0.3150632152311414, 0.11487413611240595, -0.0047836082886500535, 0.0028551805739716, -0.11089394593903099, -0.21090590496020145, -0.03088164281279567, 0.1276003654558122, 0.07332971920988646, 0.08481105556150517, 0.15610878766480699, -0.131347346571218, -0.12577832631902847, 0.40476983865857663, -0.05140599026064198, -0.12426752012492304, 0.09255613773747022, -0.20394179712509714, -0.08934229824422713, 0.1922273707901498, 0.055119722377486434, 0.13487272013921336, -0.09118080158235438, 0.09861390540412773, 0.0439613669358912, 0.24410880173848246, 0.04463331721420119, 0.054657464689878095, 0.05781368790082184, 0.10005738002708159, -0.01698017186563776, 0.09447662584225547, -0.10968053336423564, -0.06988434577136333, -0.31285141190760823, -0.10521713858442269, -0.17761723492547016, 0.0219043528574171, -0.10297819535498344, -0.11392131006255386, 0.39759492241294986, 0.08820080897400537, 0.1810673531705895, -0.007155364031443395, 0.3094182917455503, 0.17959596736059266, 0.08343525902867452, 0.0006750940558422042, 0.30617332735929237, 0.21766919732733395, 0.04197218835757798, -0.34561818658587445, 0.03913306141922991, 0.1104934618314616]
|
1,803.08331
|
Subvariety structures in certain product varieties of groups
|
We classify certain cases when the wreath products of distinct pairs of
groups generate the same variety. This allows us to investigate the
subvarieties of some nilpotent-by-abelian product varieties ${\mathfrak
U}{\mathfrak V}$ with the help of wreath products of groups. In particular,
using wreath products we find such subvarieties in nilpotent-by-abelian
${\mathfrak U}{\mathfrak V}$, which have the same nilpotency class, the same
length of solubility, and the same exponent, but which still are distinct
subvarieties. Obtained classification strengthens our recent work on varieties
generated by wreath products.
|
math.GR
|
we classify certain cases when the wreath products of distinct pairs of groups generate the same variety this allows us to investigate the subvarieties of some nilpotentbyabelian product varieties mathfrak umathfrak v with the help of wreath products of groups in particular using wreath products we find such subvarieties in nilpotentbyabelian mathfrak umathfrak v which have the same nilpotency class the same length of solubility and the same exponent but which still are distinct subvarieties obtained classification strengthens our recent work on varieties generated by wreath products
|
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|
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|
1,803.08332
|
Singular fibers of the Gelfand--Cetlin system on $\mathfrak{u}(n)^*$
|
In this paper, we show that every singular fiber of the Gelfand--Cetlin
system on coadjoint orbits of unitary groups is a smooth isotropic submanifold
which is diffeomorphic to a $2$-stage quotient of a compact Lie group by free
actions of two other compact Lie groups. In many cases, these singular fibers
can be shown to be homogeneous spaces or even diffeomorphic to compact Lie
groups. We also give a combinatorial formula for computing the dimensions of
all singular fibers, and give a detailed description of these singular fibers
in many cases, including the so-called (multi-)diamond singularities. These
(multi-)diamond singular fibers are degenerate for the Gelfand--Cetlin system,
but they are Lagrangian submanifolds diffeomorphic to direct products of
special unitary groups and tori. Our methods of study are based on different
ideas involving complex ellipsoids, Lie groupoids, and also general ideas
coming from the theory of singularities of integrable Hamiltonian systems.
|
math.SG
|
in this paper we show that every singular fiber of the gelfandcetlin system on coadjoint orbits of unitary groups is a smooth isotropic submanifold which is diffeomorphic to a 2stage quotient of a compact lie group by free actions of two other compact lie groups in many cases these singular fibers can be shown to be homogeneous spaces or even diffeomorphic to compact lie groups we also give a combinatorial formula for computing the dimensions of all singular fibers and give a detailed description of these singular fibers in many cases including the socalled multidiamond singularities these multidiamond singular fibers are degenerate for the gelfandcetlin system but they are lagrangian submanifolds diffeomorphic to direct products of special unitary groups and tori our methods of study are based on different ideas involving complex ellipsoids lie groupoids and also general ideas coming from the theory of singularities of integrable hamiltonian systems
|
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|
[-0.20311439982979704, 0.06861575269678823, -0.10302793324867986, 0.0699165746495191, -0.10374355452692732, -0.1482635379806921, -0.05583628445711671, 0.39234301920498715, -0.263835685932692, -0.15369163696863214, 0.16354588682677748, -0.25000077568558454, -0.19850123678904255, 0.26081207384304683, -0.16109936777502298, 0.0004965536562459809, 0.10274890637766494, 0.08226199996211014, -0.13254452454789223, -0.29708481350752086, 0.4594651557232703, -0.07901508036088578, 0.18972923219533397, 0.009959405354623283, 0.11376364491436453, -0.00425016903476853, -0.00527457865889558, 0.015488202605002716, -0.12838301641200742, 0.1649383164397409, 0.3274791115502111, 0.014223715828947063, 0.1736896828665924, -0.4023289914156998, -0.19155522600310493, 0.19063240066677534, 0.1390992957626653, 0.04294198280323905, 0.01202251587132765, -0.3141724151388115, 0.08319832025045136, -0.1520091122630857, -0.1933357787863383, -0.11601713353920044, 0.02127413096882048, 0.04017869925893032, -0.1605894824198517, 0.01805496369734039, 0.10457051129770928, 0.08652552672769545, -0.05842280408310495, -0.06570787063631907, -0.04017496096812898, 0.10286223782435516, -0.004438678363376126, -0.030483437957064735, 0.15829404476407574, -0.05973786040095194, -0.10221272729476596, 0.42229654163686037, 0.0032336201176655535, -0.2640078405146392, 0.2056335180025345, -0.13868582782772731, -0.19437474707699046, 0.1795050022707061, 0.15163808510017893, 0.17499910205361896, -0.07967851442113823, 0.14550746984179544, -0.07592115956073513, 0.018582453228989427, 0.08742721966106673, 0.0023885945726952636, 0.16044625121352524, 0.08646115490875277, 0.10510661842297132, 0.05943126348203656, 0.034744887251634986, -0.08121248335398569, -0.3492813528559747, -0.19964345902217184, -0.10581540354435667, 0.1392310785389423, -0.11934559265352376, -0.20660012927231836, 0.37432040915298626, 0.004570962896025708, 0.19373705039485073, 0.09664728189580979, 0.23625886105761237, 0.03559350291406419, 0.06370047552092951, 0.04492384802984061, 0.19057409796344282, 0.20388252489414496, -0.055098332337984425, -0.08423271280757728, -0.13222371535945912, 0.1661192308921291]
|
1,803.08333
|
On a Refinement-Free Calder\'on Multiplicative Preconditioner for the
Electric Field Integral Equation
|
We present a Calder\'on preconditioner for the electric field integral
equation (EFIE), which does not require a barycentric refinement of the mesh
and which yields a Hermitian, positive definite (HPD) system matrix allowing
for the usage of the conjugate gradient (CG) solver. The resulting discrete
equation system is immune to the low-frequency and the dense-discretization
breakdown and, in contrast to existing Calder\'on preconditioners, no second
discretization of the EFIE operator with Buffa-Christiansen (BC) functions is
necessary. This preconditioner is obtained by leveraging on spectral
equivalences between (scalar) integral operators, namely the single layer and
the hypersingular operator known from electrostatics, on the one hand, and the
Laplace-Beltrami operator on the other hand. Since our approach incorporates
Helmholtz projectors, there is no search for global loops necessary and thus
our method remains stable on multiply connected geometries. The numerical
results demonstrate the effectiveness of this approach for both canonical and
realistic (multi-scale) problems.
|
math.NA
|
we present a calderon preconditioner for the electric field integral equation efie which does not require a barycentric refinement of the mesh and which yields a hermitian positive definite hpd system matrix allowing for the usage of the conjugate gradient cg solver the resulting discrete equation system is immune to the lowfrequency and the densediscretization breakdown and in contrast to existing calderon preconditioners no second discretization of the efie operator with buffachristiansen bc functions is necessary this preconditioner is obtained by leveraging on spectral equivalences between scalar integral operators namely the single layer and the hypersingular operator known from electrostatics on the one hand and the laplacebeltrami operator on the other hand since our approach incorporates helmholtz projectors there is no search for global loops necessary and thus our method remains stable on multiply connected geometries the numerical results demonstrate the effectiveness of this approach for both canonical and realistic multiscale problems
|
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|
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|
1,803.08334
|
Predicting the Neutral Hydrogen Content of Galaxies From Optical Data
Using Machine Learning
|
We develop a machine learning-based framework to predict the HI content of
galaxies using more straightforwardly observable quantities such as optical
photometry and environmental parameters. We train the algorithm on z=0-2
outputs from the Mufasa cosmological hydrodynamic simulation, which includes
star formation, feedback, and a heuristic model to quench massive galaxies that
yields a reasonable match to a range of survey data including HI. We employ a
variety of machine learning methods (regressors), and quantify their
performance using the root mean square error ({\sc rmse}) and the Pearson
correlation coefficient (r). Considering SDSS photometry, 3$^{rd}$ nearest
neighbor environment and line of sight peculiar velocities as features, we
obtain r $> 0.8$ accuracy of the HI-richness prediction, corresponding to {\sc
rmse}$<0.3$. Adding near-IR photometry to the features yields some improvement
to the prediction. Compared to all the regressors, random forest shows the best
performance, with r $>0.9$ at $z=0$, followed by a Deep Neural Network with r
$>0.85$. All regressors exhibit a declining performance with increasing
redshift, which limits the utility of this approach to $z\la 1$, and they tend
to somewhat over-predict the HI content of low-HI galaxies which might be due
to Eddington bias in the training sample. We test our approach on the RESOLVE
survey data. Training on a subset of RESOLVE data, we find that our machine
learning method can reasonably well predict the HI-richness of the remaining
RESOLVE data, with {\sc rmse}$\sim0.28$. When we train on mock data from Mufasa
and test on RESOLVE, this increases to {\sc rmse}$\sim0.45$. Our method will be
useful for making galaxy-by-galaxy survey predictions and incompleteness
corrections for upcoming HI 21cm surveys such as the LADUMA and MIGHTEE surveys
on MeerKAT, over regions where photometry is already available.
|
astro-ph.GA
|
we develop a machine learningbased framework to predict the hi content of galaxies using more straightforwardly observable quantities such as optical photometry and environmental parameters we train the algorithm on z02 outputs from the mufasa cosmological hydrodynamic simulation which includes star formation feedback and a heuristic model to quench massive galaxies that yields a reasonable match to a range of survey data including hi we employ a variety of machine learning methods regressors and quantify their performance using the root mean square error sc rmse and the pearson correlation coefficient r considering sdss photometry 3rd nearest neighbor environment and line of sight peculiar velocities as features we obtain r 08 accuracy of the hirichness prediction corresponding to sc rmse03 adding nearir photometry to the features yields some improvement to the prediction compared to all the regressors random forest shows the best performance with r 09 at z0 followed by a deep neural network with r 085 all regressors exhibit a declining performance with increasing redshift which limits the utility of this approach to zla 1 and they tend to somewhat overpredict the hi content of lowhi galaxies which might be due to eddington bias in the training sample we test our approach on the resolve survey data training on a subset of resolve data we find that our machine learning method can reasonably well predict the hirichness of the remaining resolve data with sc rmsesim028 when we train on mock data from mufasa and test on resolve this increases to sc rmsesim045 our method will be useful for making galaxybygalaxy survey predictions and incompleteness corrections for upcoming hi 21cm surveys such as the laduma and mightee surveys on meerkat over regions where photometry is already available
|
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|
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|
1,803.08335
|
Treatment of isomers in nucleosynthesis codes
|
The decay properties of long-lived excited states (isomers) can have a
significant impact on the destruction channels of isotopes under stellar
conditions. In sufficiently hot environments, the population of isomers can be
altered via thermal excitation or de-excitation. If the corresponding lifetimes
are of the same order of magnitude as the typical time scales of the
environment, the isomers have to be the treated explicitly. We present a
general approach to the treatment of isomers in stellar nucleosynthesis codes
and discuss a few illustrative examples. The corresponding code is available
online at http://exp-astro.de/isomers/
|
astro-ph.SR nucl-th
|
the decay properties of longlived excited states isomers can have a significant impact on the destruction channels of isotopes under stellar conditions in sufficiently hot environments the population of isomers can be altered via thermal excitation or deexcitation if the corresponding lifetimes are of the same order of magnitude as the typical time scales of the environment the isomers have to be the treated explicitly we present a general approach to the treatment of isomers in stellar nucleosynthesis codes and discuss a few illustrative examples the corresponding code is available online at httpexpastrodeisomers
|
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|
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|
1,803.08336
|
Equilibrium Effects of Intraday Order-Splitting Benchmarks
|
This paper presents a continuous-time model of intraday trading, pricing, and
liquidity with dynamic TWAP and VWAP benchmarks. The model is solved in
closed-form for the competitive equilibrium and also for non-price-taking
equilibria. The intraday trajectories of TWAP trading targets cause predictable
intraday patterns of price pressure, and randomness in VWAP target trajectories
induces additional randomness in intraday price-pressure patterns. TWAP and
VWAP trading both reduce market liquidity and increase price volatility
relative to just terminal trading targets alone. The model is computationally
tractable, which lets us provide a number of numerical illustrations.
|
q-fin.MF
|
this paper presents a continuoustime model of intraday trading pricing and liquidity with dynamic twap and vwap benchmarks the model is solved in closedform for the competitive equilibrium and also for nonpricetaking equilibria the intraday trajectories of twap trading targets cause predictable intraday patterns of price pressure and randomness in vwap target trajectories induces additional randomness in intraday pricepressure patterns twap and vwap trading both reduce market liquidity and increase price volatility relative to just terminal trading targets alone the model is computationally tractable which lets us provide a number of numerical illustrations
|
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|
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|
1,803.08337
|
What do Deep Networks Like to See?
|
We propose a novel way to measure and understand convolutional neural
networks by quantifying the amount of input signal they let in. To do this, an
autoencoder (AE) was fine-tuned on gradients from a pre-trained classifier with
fixed parameters. We compared the reconstructed samples from AEs that were
fine-tuned on a set of image classifiers (AlexNet, VGG16, ResNet-50, and
Inception~v3) and found substantial differences. The AE learns which aspects of
the input space to preserve and which ones to ignore, based on the information
encoded in the backpropagated gradients. Measuring the changes in accuracy when
the signal of one classifier is used by a second one, a relation of total order
emerges. This order depends directly on each classifier's input signal but it
does not correlate with classification accuracy or network size. Further
evidence of this phenomenon is provided by measuring the normalized mutual
information between original images and auto-encoded reconstructions from
different fine-tuned AEs. These findings break new ground in the area of neural
network understanding, opening a new way to reason, debug, and interpret their
results. We present four concrete examples in the literature where observations
can now be explained in terms of the input signal that a model uses.
|
cs.CV cs.LG
|
we propose a novel way to measure and understand convolutional neural networks by quantifying the amount of input signal they let in to do this an autoencoder ae was finetuned on gradients from a pretrained classifier with fixed parameters we compared the reconstructed samples from aes that were finetuned on a set of image classifiers alexnet vgg16 resnet50 and inceptionv3 and found substantial differences the ae learns which aspects of the input space to preserve and which ones to ignore based on the information encoded in the backpropagated gradients measuring the changes in accuracy when the signal of one classifier is used by a second one a relation of total order emerges this order depends directly on each classifiers input signal but it does not correlate with classification accuracy or network size further evidence of this phenomenon is provided by measuring the normalized mutual information between original images and autoencoded reconstructions from different finetuned aes these findings break new ground in the area of neural network understanding opening a new way to reason debug and interpret their results we present four concrete examples in the literature where observations can now be explained in terms of the input signal that a model uses
|
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|
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|
1,803.08338
|
Detection of Alpha Centauri at radio wavelengths: chromospheric emission
and search for star-planet interaction
|
At radio wavelengths, solar-type stars emit thermal free-free and
gyroresonance, gyrosynchrotron, and impulsive coherent emission. Thermal
free-free emission originates at layers where the optical depth is close to
unit, while high brightness temperature, variable emission, can be due to
flares via gyrosynchrotron emission. We observed the alpha Cen system with the
Australian Telescope Compact Array at 2 GHz for three days and 17 GHz for one
day. Both stars have been detected at 17 GHz, while only an upper limit has
been obtained at low frequency despite the longer integration time. The
brightness temperatures are consistent with the temperature of the upper
chromosphere of the Sun. Inverting the formulae of the free-free emission, the
average electron density of the plasma has been inferred. The same procedure
was applied to the data in the millimetre recently acquired with ALMA. A
comparison with the atmospheric solar models reveals a higher level of activity
in alpha Cen B rather than in alpha Cen A, even if still at quiescent level.
The non detection at 2 GHz allows us to put a lower limit in the filling factor
of active regions. The claimed detection of an Earth size planet in close orbit
to alpha Cen B, although doubtful, opens the opportunity to check the existence
of Star-Planet Magnetic Interaction (SPMI). We constructed dynamic spectra in
the 1.3 - 2.9 GHz of the 2 stars to search for time-variable coherent emission
but obtained a null result.
|
astro-ph.SR
|
at radio wavelengths solartype stars emit thermal freefree and gyroresonance gyrosynchrotron and impulsive coherent emission thermal freefree emission originates at layers where the optical depth is close to unit while high brightness temperature variable emission can be due to flares via gyrosynchrotron emission we observed the alpha cen system with the australian telescope compact array at 2 ghz for three days and 17 ghz for one day both stars have been detected at 17 ghz while only an upper limit has been obtained at low frequency despite the longer integration time the brightness temperatures are consistent with the temperature of the upper chromosphere of the sun inverting the formulae of the freefree emission the average electron density of the plasma has been inferred the same procedure was applied to the data in the millimetre recently acquired with alma a comparison with the atmospheric solar models reveals a higher level of activity in alpha cen b rather than in alpha cen a even if still at quiescent level the non detection at 2 ghz allows us to put a lower limit in the filling factor of active regions the claimed detection of an earth size planet in close orbit to alpha cen b although doubtful opens the opportunity to check the existence of starplanet magnetic interaction spmi we constructed dynamic spectra in the 13 29 ghz of the 2 stars to search for timevariable coherent emission but obtained a null result
|
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|
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|
1,803.08339
|
Development of the poloidal Charge eXchange Recombination Spectroscopy
system in Heliotron J
|
A Charge eXchange Recombination Spectroscopy (CXRS) system designed to
measure the poloidal rotation velocity is developed in Heliotron J. The
poloidal CXRS system measures the carbon emission line (C VI, n=8-7, 529.05nm)
and the Doppler shift of the emission line provides the information of plasma
rotation velocity. A high throughput photographic-lens monochromator (F/2.8)
with 0.73nm/mm dispersion is adopted to achieve high rotation velocity and
temporal resolution. Since two heating neutral beams from two tangential
injectors (NBI) are used as the diagnostic beams, a wide observation range
(0.26<r/a<0.92) is covered by 15 sightlines with a high spatial
resolution(d<r/a> < 0.06) at peripheral region (r/a>0.6). The system design and
the calibration method are presented. The initial results of poloidal rotation
measurement show an electron diamagnetic rotation in an NBI heated plasma,
while an ion diamagnetic rotation is observed when ECH is additionally applied.
The evaluated radial electric field profile shows a positive Er at plasma core
region in the ECH+NBI plasma, and a negative Er in the NBI heated plasma.
|
physics.plasm-ph
|
a charge exchange recombination spectroscopy cxrs system designed to measure the poloidal rotation velocity is developed in heliotron j the poloidal cxrs system measures the carbon emission line c vi n87 52905nm and the doppler shift of the emission line provides the information of plasma rotation velocity a high throughput photographiclens monochromator f28 with 073nmmm dispersion is adopted to achieve high rotation velocity and temporal resolution since two heating neutral beams from two tangential injectors nbi are used as the diagnostic beams a wide observation range 026ra092 is covered by 15 sightlines with a high spatial resolutiondra 006 at peripheral region ra06 the system design and the calibration method are presented the initial results of poloidal rotation measurement show an electron diamagnetic rotation in an nbi heated plasma while an ion diamagnetic rotation is observed when ech is additionally applied the evaluated radial electric field profile shows a positive er at plasma core region in the echnbi plasma and a negative er in the nbi heated plasma
|
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|
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|
1,803.0834
|
First Law of Inner Mechanics of Black Holes in Generalized Minimal
Massive Gravity
|
In this paper, we examine the validity of the first law of inner mechanics of
black holes in Generalized Minimal Massive Gravity. We consider BTZ and
spacelike warped black holes and show that the first law of inner mechanics is
valid for given black holes in Generalized Minimal Massive Gravity. As we
expect, due to the presence of the Lorentz Chern-Simons term in Lagrangian of
considered model, the product of the entropies of the inner and outer horizons
depends on the mass as it happens in Topologically Massive Gravity.
|
hep-th
|
in this paper we examine the validity of the first law of inner mechanics of black holes in generalized minimal massive gravity we consider btz and spacelike warped black holes and show that the first law of inner mechanics is valid for given black holes in generalized minimal massive gravity as we expect due to the presence of the lorentz chernsimons term in lagrangian of considered model the product of the entropies of the inner and outer horizons depends on the mass as it happens in topologically massive gravity
|
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|
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|
1,803.08341
|
Efficient constant factor approximation algorithms for stabbing line
segments with equal disks
|
An NP-hard problem is considered of intersecting a given set of $n$ straight
line segments on the plane with the smallest cardinality set of disks of fixed
radii $r>0,$ where the set of segments forms a straight line drawing $G=(V,E)$
of a planar graph without proper edge crossings. To the best of our knowledge,
related work only tackles a setting where $E$ consists of (generally, properly
overlapping) axis-parallel segments, resulting in an $O(n\log n)$-time and
$O(n\log n)$-space 8-approximation algorithm. Exploiting tough connection of
the problem with the geometric Hitting Set problem, an
$\left(50+52\sqrt{\frac{12}{13}}+\nu\right)$-approximate $O\left(n^4\log
n\right)$-time and $O\left(n^2\log n\right)$-space algorithm is devised based
on the modified Agarwal-Pan algorithm, which uses epsilon nets. More accurate
$(34+24\sqrt{2}+\nu)$- and
$\left(\frac{144}{5}+32\sqrt{\frac{3}{5}}+\nu\right)$-approxi\-mate algorithms
are also proposed for cases where $G$ is any subgraph of either a generalized
outerplane graph or a Delaunay triangulation respectively, which work within
the same time and space complexity bounds, where $\nu>0$ is an arbitrarily
small constant.
|
cs.CG
|
an nphard problem is considered of intersecting a given set of n straight line segments on the plane with the smallest cardinality set of disks of fixed radii r0 where the set of segments forms a straight line drawing gve of a planar graph without proper edge crossings to the best of our knowledge related work only tackles a setting where e consists of generally properly overlapping axisparallel segments resulting in an onlog ntime and onlog nspace 8approximation algorithm exploiting tough connection of the problem with the geometric hitting set problem an left5052sqrtfrac1213nurightapproximate oleftn4log nrighttime and oleftn2log nrightspace algorithm is devised based on the modified agarwalpan algorithm which uses epsilon nets more accurate 3424sqrt2nu and leftfrac144532sqrtfrac35nurightapproximate algorithms are also proposed for cases where g is any subgraph of either a generalized outerplane graph or a delaunay triangulation respectively which work within the same time and space complexity bounds where nu0 is an arbitrarily small constant
|
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|
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|
1,803.08342
|
Mapping ideals of quantum group multipliers
|
We study the dual relationship between quantum group convolution maps
$L^1(\mathbb{G})\rightarrow L^{\infty}(\mathbb{G})$ and completely bounded
multipliers of $\widehat{\mathbb{G}}$. For a large class of locally compact
quantum groups $\mathbb{G}$ we completely isomorphically identify the mapping
ideal of row Hilbert space factorizable convolution maps with
$M_{cb}(L^1(\widehat{\mathbb{G}}))$, yielding a quantum Gilbert representation
for completely bounded multipliers. We also identify the mapping ideals of
completely integral and completely nuclear convolution maps, the latter case
coinciding with $\ell^1(\widehat{b\mathbb{G}})$, where $b\mathbb{G}$ is the
quantum Bohr compactification of $\mathbb{G}$. For quantum groups whose dual
has bounded degree, we show that the completely compact convolution maps
coincide with $C(b\mathbb{G})$. Our techniques comprise a mixture of operator
space theory and abstract harmonic analysis, including Fubini tensor products,
the non-commutative Grothendieck inequality, quantum Eberlein
compactifications, and a suitable notion of quasi-SIN quantum group, which we
introduce and exhibit examples from the bicrossed product construction. Our
main results are new even in the setting of group von Neumann algebras $VN(G)$
for quasi-SIN locally compact groups $G$.
|
math.OA math.FA
|
we study the dual relationship between quantum group convolution maps l1mathbbgrightarrow linftymathbbg and completely bounded multipliers of widehatmathbbg for a large class of locally compact quantum groups mathbbg we completely isomorphically identify the mapping ideal of row hilbert space factorizable convolution maps with m_cbl1widehatmathbbg yielding a quantum gilbert representation for completely bounded multipliers we also identify the mapping ideals of completely integral and completely nuclear convolution maps the latter case coinciding with ell1widehatbmathbbg where bmathbbg is the quantum bohr compactification of mathbbg for quantum groups whose dual has bounded degree we show that the completely compact convolution maps coincide with cbmathbbg our techniques comprise a mixture of operator space theory and abstract harmonic analysis including fubini tensor products the noncommutative grothendieck inequality quantum eberlein compactifications and a suitable notion of quasisin quantum group which we introduce and exhibit examples from the bicrossed product construction our main results are new even in the setting of group von neumann algebras vng for quasisin locally compact groups g
|
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|
[-0.11523611519391401, 0.14871703357807112, -0.0875746539332576, 0.061723378472932015, -0.0865959933858742, -0.15687395672349236, -0.02247892014381676, 0.36891947040493495, -0.3620765459520412, -0.13073392421496396, 0.14355644308210386, -0.24483228862710013, -0.15762607994949138, 0.20649627134604734, -0.119980812892082, 0.006480927608577134, 0.04292342039060932, 0.05961277332934964, -0.12837429520455956, -0.2480192477770645, 0.4569509161925061, -0.028235024711429555, 0.22742431968026147, -0.007905961612616724, 0.12732800963051805, 0.01390286786349113, -0.05502716116194578, 0.0018539540996462625, -0.12694516891630733, 0.1651660248171538, 0.2986163128803991, 0.0663456579234121, 0.2121224609388575, -0.3681710881735139, -0.15573666170014722, 0.17723434475321276, 0.08465157474296851, 0.009363767514859999, -0.0380595665000662, -0.34271249539790605, 0.05634998767990383, -0.2176456134509379, -0.09760372503513258, -0.12301067030867797, 0.025755903441930496, -0.005456168839672604, -0.24172460765848997, 0.030477679683642664, 0.11286586844008652, 0.07495328068992571, -0.09596077711439302, -0.06174604537899759, 0.011896106421864956, 0.12219436084439012, -0.10928104507377301, 0.028457653484766997, 0.1313750171308889, -0.05943138468303258, -0.13636327885338873, 0.33660206255279007, -0.04911908104130114, -0.2395350771036612, 0.14973897826739976, -0.20581043524596887, -0.1846379267605894, 0.07485070670188605, 0.05672365661026745, 0.1449428620907372, -0.04548403497231252, 0.2266209083119307, -0.11818824866432932, 0.09207265724463365, 0.07473832202922034, 0.0684961485234384, 0.11465471060475028, 0.043526441532281475, 0.15251693475838232, 0.183415470789614, 0.023257391483086764, -0.09026047547901922, -0.3767713104268607, -0.20434223320736708, -0.1569566304701133, 0.12868093290805369, -0.1161721267281918, -0.22189159326909605, 0.3905105142665532, 0.022334488913346127, 0.141340506888257, 0.11647041268201687, 0.19587105431128293, 0.08669051483473918, 0.0894702861138584, 0.0919154708110138, 0.09696232456392667, 0.26898907770438096, -0.022585475599228202, -0.1361722491889355, -0.06608737608022941, 0.23087326049463178]
|
1,803.08343
|
A framework for Culture-aware Robots based on Fuzzy Logic
|
Cultural adaptation, i.e., the matching of a robot's behaviours to the
cultural norms and preferences of its user, is a well known key requirement for
the success of any assistive application. However, culture-dependent robot
behaviours are often implicitly set by designers, thus not allowing for an easy
and automatic adaptation to different cultures. This paper presents a method
for the design of culture-aware robots, that can automatically adapt their
behaviour to conform to a given culture. We propose a mapping from cultural
factors to related parameters of robot behaviours which relies on linguistic
variables to encode heterogeneous cultural factors in a uniform formalism, and
on fuzzy rules to encode qualitative relations among multiple variables. We
illustrate the approach in two practical case studies.
|
cs.RO cs.AI
|
cultural adaptation ie the matching of a robots behaviours to the cultural norms and preferences of its user is a well known key requirement for the success of any assistive application however culturedependent robot behaviours are often implicitly set by designers thus not allowing for an easy and automatic adaptation to different cultures this paper presents a method for the design of cultureaware robots that can automatically adapt their behaviour to conform to a given culture we propose a mapping from cultural factors to related parameters of robot behaviours which relies on linguistic variables to encode heterogeneous cultural factors in a uniform formalism and on fuzzy rules to encode qualitative relations among multiple variables we illustrate the approach in two practical case studies
|
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|
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|
1,803.08344
|
Searching for a possible dipole anisotropy on acceleration scale with
147 rotationally supported galaxies
|
We report a possible dipole anisotropy on acceleration scale $g_{\dag}$ with
147 rotationally supported galaxies in local Universe. It is found that a
monopole and dipole correction for the radial acceleration relation can better
describe the SPARC data set. The monopole term is negligible but the dipole
magnitude is significant. It is also found that the dipole correction is mostly
induced by the anisotropy on the acceleration scale. The magnitude of
$\hat{g}_{\dag}$-dipole reaches up to $0.25\pm0.04$, and its direction is
aligned to $(l,b) = (171.30^{\circ}\pm7.18^{\circ},
-15.41^{\circ}\pm4.87^{\circ})$, which is very close to the maximum anisotropy
direction from the hemisphere comparison method. Furthermore, robust check
shows that the dipole anisotropy couldn't be reproduced by isotropic mock data
set. However, it is still premature to claim that the Universe is anisotropic
due to the small data samples and uncertainty in the current observations.
|
astro-ph.CO
|
we report a possible dipole anisotropy on acceleration scale g_dag with 147 rotationally supported galaxies in local universe it is found that a monopole and dipole correction for the radial acceleration relation can better describe the sparc data set the monopole term is negligible but the dipole magnitude is significant it is also found that the dipole correction is mostly induced by the anisotropy on the acceleration scale the magnitude of hatg_dagdipole reaches up to 025pm004 and its direction is aligned to lb 17130circpm718circ 1541circpm487circ which is very close to the maximum anisotropy direction from the hemisphere comparison method furthermore robust check shows that the dipole anisotropy couldnt be reproduced by isotropic mock data set however it is still premature to claim that the universe is anisotropic due to the small data samples and uncertainty in the current observations
|
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|
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|
1,803.08345
|
Mean Field Limit for Coulomb-Type Flows
|
We establish the mean-field convergence for systems of points evolving along
the gradient flow of their interaction energy when the interaction is the
Coulomb potential or a super-coulombic Riesz potential, for the first time in
arbitrary dimension. The proof is based on a modulated energy method using a
Coulomb or Riesz distance, assumes that the solutions of the limiting equation
are regular enough and exploits a weak-strong stability property for them. The
method can handle the addition of a regular interaction kernel, and applies
also to conservative and mixed flows. In the appendix, it is also adapted to
prove the mean-field convergence of the solutions to Newton's law with Coulomb
or Riesz interaction in the monokinetic case to solutions of an Euler-Poisson
type system.
|
math.AP math-ph math.CA math.MP
|
we establish the meanfield convergence for systems of points evolving along the gradient flow of their interaction energy when the interaction is the coulomb potential or a supercoulombic riesz potential for the first time in arbitrary dimension the proof is based on a modulated energy method using a coulomb or riesz distance assumes that the solutions of the limiting equation are regular enough and exploits a weakstrong stability property for them the method can handle the addition of a regular interaction kernel and applies also to conservative and mixed flows in the appendix it is also adapted to prove the meanfield convergence of the solutions to newtons law with coulomb or riesz interaction in the monokinetic case to solutions of an eulerpoisson type system
|
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|
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|
1,803.08346
|
Space and Space-Time geodesics in Schwarzschild geometry
|
Geodesic orbit equations in the Schwarzschild geometry of general relativity
reduce to ordinary conic sections of Newtonian mechanics and gravity for
material particles in the non-relativistic limit. On the contrary, geodesic
orbit equations for a proper spatial submanifold of Schwarzschild metric at any
given coordinate-time correspond to an unphysical gravitational repulsion in
the non-relativistic limit. This demonstrates at a basic level the centrality
and critical role of relativistic time and its intimate pseudo-Riemannian
connection with space. Correspondingly, a commonly popularized depiction of
geodesic orbits of planets as resulting from the curvature of space produced by
the sun, represented as a rubber sheet dipped in the middle by the weighing of
that massive body, is mistaken and misleading for the essence of relativity,
even in the non-relativistic limit.
|
gr-qc
|
geodesic orbit equations in the schwarzschild geometry of general relativity reduce to ordinary conic sections of newtonian mechanics and gravity for material particles in the nonrelativistic limit on the contrary geodesic orbit equations for a proper spatial submanifold of schwarzschild metric at any given coordinatetime correspond to an unphysical gravitational repulsion in the nonrelativistic limit this demonstrates at a basic level the centrality and critical role of relativistic time and its intimate pseudoriemannian connection with space correspondingly a commonly popularized depiction of geodesic orbits of planets as resulting from the curvature of space produced by the sun represented as a rubber sheet dipped in the middle by the weighing of that massive body is mistaken and misleading for the essence of relativity even in the nonrelativistic limit
|
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|
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|
1,803.08347
|
A Note on Matching in Groups and Field Extensions
|
The purpose of this note is to give a number of open problems on matching
theory and their relation to the well-known results in this area. We also give
a linear analogue of the acyclic matchings.
|
math.GR
|
the purpose of this note is to give a number of open problems on matching theory and their relation to the wellknown results in this area we also give a linear analogue of the acyclic matchings
|
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|
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|
1,803.08348
|
Precise algorithm to generate random sequential adsorption of hard
polygons at saturation
|
Random sequential adsorption (RSA) is a time-dependent packing process, in
which particles of certain shapes are randomly and sequentially placed into an
empty space without overlap. In the infinite-time limit, the density approaches
a "saturation" limit. Although this limit has attracted particular research
interest, the majority of past studies could only probe this limit by
extrapolation. We have previously found an algorithm to reach this limit using
finite computational time for spherical particles, and could thus determine the
saturation density of spheres with high accuracy. In this paper, we generalize
this algorithm to generate saturated RSA packings of two-dimensional polygons.
We also calculate the saturation density for regular polygons of three to ten
sides, and obtain results that are consistent with previous,
extrapolation-based studies.
|
cond-mat.soft
|
random sequential adsorption rsa is a timedependent packing process in which particles of certain shapes are randomly and sequentially placed into an empty space without overlap in the infinitetime limit the density approaches a saturation limit although this limit has attracted particular research interest the majority of past studies could only probe this limit by extrapolation we have previously found an algorithm to reach this limit using finite computational time for spherical particles and could thus determine the saturation density of spheres with high accuracy in this paper we generalize this algorithm to generate saturated rsa packings of twodimensional polygons we also calculate the saturation density for regular polygons of three to ten sides and obtain results that are consistent with previous extrapolationbased studies
|
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|
[-0.07426838898250172, 0.14543909160819302, -0.08821854569513592, 0.027608925298834713, -0.017170239572278072, -0.09872069444897916, 0.07132425750023685, 0.3907285958168007, -0.2088275227410298, -0.29661604571306416, 0.1038334128125796, -0.26838033422527297, -0.08656687149214709, 0.15682950868992315, -0.06290935887626538, 0.07812648474599325, 0.04413788320474146, 0.018755953884758658, -0.06035974566381605, -0.28950430899144963, 0.2401912493646265, 0.04773721695246716, 0.2928080189852945, 0.05304446529349192, 0.05907478633396808, 0.023650318399191864, 0.008508446465824701, 0.0852347233878625, -0.18320876772116707, 0.11364179549385764, 0.23877022703621356, 0.04255605049453856, 0.2634070362114618, -0.4483921625651419, -0.22713600835765735, 0.1393267807884953, 0.19206546755102014, 0.1272242692676598, -0.041817306398203774, -0.22810506017037457, 0.08729834239479274, -0.14443148082805676, -0.14790168400072762, -0.07443306265744351, 0.04121259639730617, 0.04538568733740307, -0.2493739914103982, 0.04707530130479192, 0.06891974488333348, 0.01771161307941281, -0.046833984051068735, -0.10621914028325269, 0.018147284989320344, 0.10635120672692035, 0.04427136287572906, 0.02102197859541423, 0.1548004451267902, -0.11430915357918674, -0.1114462434254106, 0.36987167069568266, -0.03260137962417737, -0.18943133700128284, 0.20223450241610408, -0.1746813789077644, -0.17938720835222594, 0.18964068247230664, 0.17690591662070684, 0.13501441203838876, -0.11844900553114712, 0.09640634134496306, -0.1012842544953474, 0.15241292566661874, 0.11639326372964968, -0.002123011878856848, 0.2075094907439404, 0.15981769162200152, 0.08807058908954082, 0.17606684634078956, -0.0967106127382947, -0.12270887692331246, -0.23811893194778672, -0.1266532987637836, -0.19561500478565932, 0.028348057917619664, -0.09693612634063972, -0.1732473878355156, 0.3167977540926527, 0.1480329527910198, 0.22248328110623744, 0.09570034367929874, 0.27885053980055324, 0.12619987923666956, 0.028081980045704592, 0.06806775489671817, 0.24550148566824295, 0.10555783699214037, 0.0490593439674065, -0.15146641159850743, 0.04166479694427953, 0.0720598810679099]
|
1,803.08349
|
Equivariant Euler characteristics of $\overline{\mathscr{M}}_{g, n}$
|
Let $\overline{\mathscr{M}}_{g, n}$ be the moduli space of $n$-pointed stable
genus $g$ curves, and let $\mathscr{M}_{g, n}$ be the moduli space of
$n$-pointed smooth curves of genus $g.$ In this paper, we obtain an asymptotic
expansion for the characteristic of the free modular operad
$\mathbb{M}\mathcal{V}$ generated by a stable $\mathbb{S}$-module
$\mathcal{V},$ allowing to effectively compute $\mathbb{S}_{n}$-equivariant
Euler characteristics of $\overline{\mathscr{M}}_{g, n}$ in terms of
$\mathbb{S}_{n'}$-equivariant Euler characteristics of $\mathscr{M}_{g'\!, n'}$
with $0\le g' \le g,$ $\textrm{max}\{0, 3 - 2g' \} \le n' \le 2(g - g') + n.$
This answers a question posed by Getzler and Kapranov by making their integral
representation of the characteristic of the modular operad
$\mathbb{M}\mathcal{V}$ effective. To illustrate how the asymptotic expansion
is used, we give formulas expressing the generating series of the
$\mathbb{S}_{n}$-equivariant Euler characteristics of
$\overline{\mathscr{M}}_{g, n},$ for $g = 0, 1$ and $2,$ in terms of the
corresponding generating series associated with $\mathscr{M}_{g, n}.$
|
math.AG math.NT
|
let overlinemathscrm_g n be the moduli space of npointed stable genus g curves and let mathscrm_g n be the moduli space of npointed smooth curves of genus g in this paper we obtain an asymptotic expansion for the characteristic of the free modular operad mathbbmmathcalv generated by a stable mathbbsmodule mathcalv allowing to effectively compute mathbbs_nequivariant euler characteristics of overlinemathscrm_g n in terms of mathbbs_nequivariant euler characteristics of mathscrm_g n with 0le g le g textrmmax0 3 2g le n le 2g g n this answers a question posed by getzler and kapranov by making their integral representation of the characteristic of the modular operad mathbbmmathcalv effective to illustrate how the asymptotic expansion is used we give formulas expressing the generating series of the mathbbs_nequivariant euler characteristics of overlinemathscrm_g n for g 0 1 and 2 in terms of the corresponding generating series associated with mathscrm_g n
|
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|
[-0.22306306177580898, 0.13909390659921825, -0.10013675524436354, 0.03159053723891168, -0.07139321678103162, -0.13369599590403633, -0.021453809895930435, 0.27751677936607305, -0.30575331342178624, -0.2999575452397128, 0.04400661683859551, -0.24703798118255824, -0.1315289861294669, 0.2082520700548287, -0.08853460739192087, -0.02292585289561665, 0.005383632274448768, 0.07810779907121941, -0.05848019212725331, -0.33238040234476746, 0.3663911579267962, -0.06234829562514291, 0.16509465352221803, -0.018051016815267242, 0.09997798794867484, 0.013691085934560825, -0.002573485121495657, -0.039540870949199385, -0.19665739542016616, 0.14948868695556974, 0.31896463746426407, 0.07894300312533245, 0.1926465814190728, -0.36398780421464594, -0.1391156418476957, 0.19479691848106734, 0.1882576900729714, -0.08287553820055682, 0.07411073418529508, -0.21618661421540003, 0.14233291792598637, -0.14505142317368433, -0.20748777901493273, -0.07076132429073324, 0.15585135121445556, 0.03673699920202469, -0.2512163047164262, -0.038145238632324864, 0.05990206822264497, 0.11643612526122715, -0.005625431220717988, -0.156460040708079, -0.06973070414228873, 0.08995057223690348, -0.02522884973103402, 0.06412950243436165, 0.003688641322346834, -0.13360649618561138, -0.05020682247668192, 0.3388945991759534, -0.12202902419909419, -0.1732228573385652, 0.046953325247769795, -0.1546864750391276, -0.11958746047009929, 0.14666433936519013, 0.08267962110678216, 0.23379170464781615, 0.030099079417882136, 0.23578672262333608, -0.04705420345510845, 0.08095883027735082, 0.14196459127759392, -0.042813305786999684, 0.10015655198896473, 0.08214654369357895, 0.027820449298446334, 0.12738589462303146, 0.00035131286294036706, 0.052566884438852435, -0.3421552146075072, -0.2123074676952214, -0.1565855302639514, 0.19206015971144075, -0.17009732083849352, -0.16094388585811206, 0.3795252988583871, 0.05960598953436227, 0.20209019717766896, 0.16888424597836874, 0.18647934396106464, 0.07354845384695938, -0.03252988487605813, 0.09052713318578118, 0.01870510077195151, 0.2004780496871164, -0.02752931684359804, -0.19270468818046596, 0.01338958558040326, 0.21406366194148999]
|
1,803.0835
|
Multiple closed geodesics on positively curved Finsler manifolds
|
In this paper, we prove that on every Finsler manifold $(M,\,F)$ with
reversibility $\lambda$ and flag curvature $K$ satisfying
$\left(\frac{\lambda}{\lambda+1}\right)^2<K\le 1$, there exist $[\frac{\dim
M+1}{2}]$ closed geodesics. If the number of closed geodesics is finite, then
there exist $[\frac{\dim M}{2}]$ non-hyperbolic closed geodesics. Moreover,
there are 3 closed geodesics on $(M,\,F)$ satisfying the above pinching
condition when $\dim M=3$.
|
math.DG
|
in this paper we prove that on every finsler manifold mf with reversibility lambda and flag curvature k satisfying leftfraclambdalambda1right2kle 1 there exist fracdim m12 closed geodesics if the number of closed geodesics is finite then there exist fracdim m2 nonhyperbolic closed geodesics moreover there are 3 closed geodesics on mf satisfying the above pinching condition when dim m3
|
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|
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|
1,803.08351
|
Building highly conditional almost greedy and quasi-greedy bases in
Banach spaces
|
It is known that for a conditional quasi-greedy basis $\mathcal{B}$ in a
Banach space $\mathbb{X}$, the associated sequence
$(k_{m}[\mathcal{B}])_{m=1}^{\infty}$ of its conditionality constants verifies
the estimate $k_{m}[\mathcal{B}]=\mathcal{O}(\log m)$ and that if the reverse
inequality $\log m =\mathcal{O}(k_m[\mathcal{B}])$ holds then $\mathbb{X}$ is
non-superreflexive. Indeed, it is known that a quasi-greedy basis in a
superreflexive quasi-Banach space fulfils the estimate
$k_{m}[\mathcal{B}]=\mathcal{O}(\log m)^{1-\epsilon}$ for some $\epsilon>0$.
However, in the existing literature one finds very few instances of spaces
possessing quasi-greedy basis with conditionality constants "as large as
possible." Our goal in this article is to fill this gap. To that end we enhance
and exploit a technique developed in [S. J. Dilworth, N. J. Kalton, and D.
Kutzarova, On the existence of almost greedy bases in Banach spaces, Studia
Math. 159 (2003), no. 1, 67-101] and craft a wealth of new examples of both
non-superreflexive classical Banach spaces having quasi-greedy bases
$\mathcal{B}$ with $k_{m}[\mathcal{B}]=\mathcal{O}(\log m)$ and superreflexive
classical Banach spaces having for every $\epsilon>0$ quasi-greedy bases
$\mathcal{B}$ with $k_{m}[\mathcal{B}]=\mathcal{O}(\log m)^{1-\epsilon}$.
Moreover, in most cases those bases will be almost greedy.
|
math.FA
|
it is known that for a conditional quasigreedy basis mathcalb in a banach space mathbbx the associated sequence k_mmathcalb_m1infty of its conditionality constants verifies the estimate k_mmathcalbmathcalolog m and that if the reverse inequality log m mathcalok_mmathcalb holds then mathbbx is nonsuperreflexive indeed it is known that a quasigreedy basis in a superreflexive quasibanach space fulfils the estimate k_mmathcalbmathcalolog m1epsilon for some epsilon0 however in the existing literature one finds very few instances of spaces possessing quasigreedy basis with conditionality constants as large as possible our goal in this article is to fill this gap to that end we enhance and exploit a technique developed in s j dilworth n j kalton and d kutzarova on the existence of almost greedy bases in banach spaces studia math 159 2003 no 1 67101 and craft a wealth of new examples of both nonsuperreflexive classical banach spaces having quasigreedy bases mathcalb with k_mmathcalbmathcalolog m and superreflexive classical banach spaces having for every epsilon0 quasigreedy bases mathcalb with k_mmathcalbmathcalolog m1epsilon moreover in most cases those bases will be almost greedy
|
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|
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|
1,803.08352
|
On the topological entropy of the set with a special shadowing time
|
Let $(X,d,T )$ be a topological dynamical system with specification property.
For $ \alpha\in \mathbb R^+$ and any $x_0\in X$, define
$$ \mathbf D^{x_0}_\alpha :=\Big\{x\in X: \lim\limits_{\epsilon\to
0}\limsup\limits_{n\to\infty}\dfrac{\max\{t\in\mathbb N:~T^n(x)\in B_{t}(
x_0,\epsilon)\}}{n}\geq \alpha\Big\}.$$
Then we have
$h_{top}^{B} ( T, \mathbf D^{x_0}_\alpha )= \dfrac{h_{top}(T)}{1+\alpha} $,
where $h_{top}^{B} ( T, \mathbf D^{x_0}_\alpha )$ denotes the Bowen topological
entropy of $\mathbf D^{x_0}_\alpha.$
|
math.DS
|
let xdt be a topological dynamical system with specification property for alphain mathbb r and any x_0in x define mathbf dx_0_alpha bigxin x limlimits_epsilonto 0limsuplimits_ntoinftydfracmaxtinmathbb ntnxin b_t x_0epsilonngeq alphabig then we have h_topb t mathbf dx_0_alpha dfrach_topt1alpha where h_topb t mathbf dx_0_alpha denotes the bowen topological entropy of mathbf dx_0_alpha
|
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|
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|
1,803.08353
|
Fine-tuning the Ant Colony System algorithm through Particle Swarm
Optimization
|
Ant Colony System (ACS) is a distributed (agent- based) algorithm which has
been widely studied on the Symmetric Travelling Salesman Problem (TSP). The
optimum parameters for this algorithm have to be found by trial and error. We
use a Particle Swarm Optimization algorithm (PSO) to optimize the ACS
parameters working in a designed subset of TSP instances. First goal is to
perform the hybrid PSO-ACS algorithm on a single instance to find the optimum
parameters and optimum solutions for the instance. Second goal is to analyze
those sets of optimum parameters, in relation to instance characteristics.
Computational results have shown good quality solutions for single instances
though with high computational times, and that there may be sets of parameters
that work optimally for a majority of instances.
|
math.OC cs.NE
|
ant colony system acs is a distributed agent based algorithm which has been widely studied on the symmetric travelling salesman problem tsp the optimum parameters for this algorithm have to be found by trial and error we use a particle swarm optimization algorithm pso to optimize the acs parameters working in a designed subset of tsp instances first goal is to perform the hybrid psoacs algorithm on a single instance to find the optimum parameters and optimum solutions for the instance second goal is to analyze those sets of optimum parameters in relation to instance characteristics computational results have shown good quality solutions for single instances though with high computational times and that there may be sets of parameters that work optimally for a majority of instances
|
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|
[-0.08211389399736026, -0.013482522282246796, -0.10513704656697219, 0.06770596565749859, -0.10562359372390405, -0.1868530727501604, 0.08058534860093561, 0.4285194087581384, -0.26521820731328, -0.39297516244123615, 0.10046994097582582, -0.2299502827799953, -0.17683355677281581, 0.2117897404906606, -0.07750080658921174, 0.1345054450489226, 0.1054773130601952, 0.03368642450761168, -0.03276864425574858, -0.2900664092056335, 0.23569420153840578, 0.059968271071002596, 0.2923632531559893, -0.0404204724519144, 0.11017157139241814, -0.024340639062713654, 0.07563540828044689, 0.06667172237639389, -0.14267073407095196, 0.07702202770751827, 0.2887008736457025, 0.20165413376756958, 0.32431078277942205, -0.38044919621288065, -0.17840400032166923, 0.1402813253835553, 0.14285344429617186, 0.11547423181002073, -0.06127934094466683, -0.2270429657979144, 0.13082030144268794, -0.07276443726870985, -0.08570012078797888, -0.028020216467709923, 0.04157908578654603, 0.07106455241788238, -0.3212790701700936, -0.01772083068776521, -0.050273126392846555, -0.0209234756129306, -0.09669107643310867, -0.16499262409088838, 0.06172546870001252, 0.10242998532004773, 0.02567814452950621, 0.05894748887993277, 0.11097312906141658, -0.09821428197236466, -0.17252634557348395, 0.40412909184242524, -0.005270006122171051, -0.22835559274406275, 0.15554194635940746, -0.03401453667024653, -0.14368643520015573, 0.158508349302417, 0.22634287155602897, 0.14582865409523485, -0.19396307779150823, 0.06461698123455299, -0.07931343908052123, 0.2132786327801157, 0.056437921710312366, -0.0030755392231401942, 0.12370882624398089, 0.21563570726928966, 0.15269676671734833, 0.1587889375431197, -0.05718879659091019, -0.11528605721624834, -0.18192691964999078, -0.12601640410277815, -0.19915551534809528, -0.03943049144702002, -0.09941926559709134, -0.1464397551070082, 0.4069430975406061, 0.1627618348833898, 0.1639667757202886, 0.059337413463499473, 0.2789525652659081, 0.08764224081108021, 0.06612123509440275, 0.12070902703802973, 0.2289487222313053, 0.01689936442574161, 0.07905357212035193, -0.22491557963237735, 0.09448857767330039, 0.07316791705809356]
|
1,803.08354
|
Venue Suggestion Using Social-Centric Scores
|
User modeling is a very important task for making relevant suggestions of
venues to the users. These suggestions are often based on matching the venues'
features with the users' preferences, which can be collected from previously
visited locations. In this paper, we present a set of relevance scores for
making personalized suggestions of points of interest. These scores model each
user by focusing on the different types of information extracted from venues
that they have previously visited. In particular, we focus on scores extracted
from social information available on location-based social networks. Our
experiments, conducted on the dataset of the TREC Contextual Suggestion Track,
show that social scores are more effective than scores based venues' content.
|
cs.IR cs.SI
|
user modeling is a very important task for making relevant suggestions of venues to the users these suggestions are often based on matching the venues features with the users preferences which can be collected from previously visited locations in this paper we present a set of relevance scores for making personalized suggestions of points of interest these scores model each user by focusing on the different types of information extracted from venues that they have previously visited in particular we focus on scores extracted from social information available on locationbased social networks our experiments conducted on the dataset of the trec contextual suggestion track show that social scores are more effective than scores based venues content
|
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|
[-0.053284612350800106, 0.019177468029926693, -0.06154364369938086, 0.06756874890034568, -0.16947766900030448, -0.1798813111803109, 0.11785291267683376, 0.46542605195708314, -0.18310823162278994, -0.373310996596862, 0.05703417384988982, -0.39064308149932786, -0.18579717513358476, 0.1990718615446079, -0.06409111461232833, 0.02221126219755488, 0.10279168039239173, 0.14460634475509668, -0.0035126985652635177, -0.35638501312069853, 0.3566352693074993, 0.06149424766672069, 0.35392766600827974, 0.06899936377584677, 0.049117994502764835, -0.01274680669001978, -0.14506870028081126, 0.025860567649441033, -0.11175242862486028, 0.22112655134847517, 0.35306364824545794, 0.23462228367811647, 0.3433654606583175, -0.3864425900873953, -0.19659622702426438, 0.011136297646364004, 0.1043813780736949, 0.09257631981645004, -0.06886202510276203, -0.4310252123415984, 0.07337751346720575, -0.17588356927695586, 0.04767487654542743, -0.07202799582115278, 0.014736230946788243, 0.04944785977392618, -0.2661568263128143, -0.0023345141302782177, -0.02068117423512941, 0.11136129728100937, -0.05051371569400011, -0.15870962748785727, -0.007658549183016193, 0.23712887032085966, 0.09335355390493501, -0.0406333911654154, 0.17793138822588814, -0.18746244406191118, -0.20373127464172913, 0.3971398023181948, 0.016438263907385307, -0.17233373430268517, 0.2074035132777524, -0.07392098138446053, -0.17540536528244485, 0.06266495960379212, 0.2685624058679517, 0.1342801108217702, -0.20299675855143318, -0.06844818786766123, -0.10863938999506806, 0.19756904917223186, 0.07817856779378228, 0.03464134969620098, 0.23721263100039855, 0.1827686799184323, 0.02531855623839937, 0.06422121638877734, -0.046147050952201646, -0.05126972999102596, -0.1917942011295336, -0.07805166967164982, -0.1869960505603652, -3.772643234195381e-05, -0.12642662835724908, -0.09177353756967932, 0.41785485046947823, 0.26814862010310053, 0.2033000792826301, 0.035884472020652855, 0.24966270075950386, 0.012163306446068575, 0.09173827505959518, 0.07712119468839053, 0.1469572428373042, -0.08630736352642998, 0.1680260353344332, -0.0831094514879655, 0.16454354144536473, 0.034129321575164795]
|
1,803.08355
|
Structured Output Learning with Abstention: Application to Accurate
Opinion Prediction
|
Motivated by Supervised Opinion Analysis, we propose a novel framework
devoted to Structured Output Learning with Abstention (SOLA). The structure
prediction model is able to abstain from predicting some labels in the
structured output at a cost chosen by the user in a flexible way. For that
purpose, we decompose the problem into the learning of a pair of predictors,
one devoted to structured abstention and the other, to structured output
prediction. To compare fully labeled training data with predictions potentially
containing abstentions, we define a wide class of asymmetric abstention-aware
losses. Learning is achieved by surrogate regression in an appropriate feature
space while prediction with abstention is performed by solving a new pre-image
problem. Thus, SOLA extends recent ideas about Structured Output Prediction via
surrogate problems and calibration theory and enjoys statistical guarantees on
the resulting excess risk. Instantiated on a hierarchical abstention-aware
loss, SOLA is shown to be relevant for fine-grained opinion mining and gives
state-of-the-art results on this task. Moreover, the abstention-aware
representations can be used to competitively predict user-review ratings based
on a sentence-level opinion predictor.
|
cs.LG cs.AI stat.ML
|
motivated by supervised opinion analysis we propose a novel framework devoted to structured output learning with abstention sola the structure prediction model is able to abstain from predicting some labels in the structured output at a cost chosen by the user in a flexible way for that purpose we decompose the problem into the learning of a pair of predictors one devoted to structured abstention and the other to structured output prediction to compare fully labeled training data with predictions potentially containing abstentions we define a wide class of asymmetric abstentionaware losses learning is achieved by surrogate regression in an appropriate feature space while prediction with abstention is performed by solving a new preimage problem thus sola extends recent ideas about structured output prediction via surrogate problems and calibration theory and enjoys statistical guarantees on the resulting excess risk instantiated on a hierarchical abstentionaware loss sola is shown to be relevant for finegrained opinion mining and gives stateoftheart results on this task moreover the abstentionaware representations can be used to competitively predict userreview ratings based on a sentencelevel opinion predictor
|
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|
[0.006405131540183599, 0.0034309092630994405, -0.07282387382713043, 0.0991164229312239, -0.14681010118737403, -0.19609404069681963, 0.07155733149589247, 0.42469232990923855, -0.2880682156007323, -0.3089365334198293, 0.06414955652305959, -0.2568403172565417, -0.1408492652369508, 0.1763649082760417, -0.1425581550432576, 0.10101094163126416, 0.11909830067242082, 0.05449798442423344, -0.046253213571294007, -0.26933231432792837, 0.30222089162368015, 0.06123660534827246, 0.32769337888393135, -0.0068947748306931725, 0.1388394171197433, 0.02130374927720469, -0.053790647834022015, 0.014120796671906848, -0.07932770484949288, 0.21309147869728298, 0.3416669137413717, 0.1947293117047391, 0.36491581488193736, -0.37854266594577995, -0.22765628815007707, 0.080553757744201, 0.09178550118716279, 0.0983642143300838, -0.03909299657421394, -0.31077985292714505, 0.08219588587526232, -0.18093026302133997, -0.007051373482681811, -0.1385385222409645, -0.05145575239310145, -0.046033421668835214, -0.3571952273800788, 0.03339951665321779, 0.0551410732962217, 0.032752767885621224, -0.04718087746069715, -0.10950573782708185, 0.02881667676071326, 0.1167768811341375, 0.04647521277462753, 0.05640387636311869, 0.10751963386881269, -0.147956842636793, -0.14089210760365758, 0.35996363767319256, -0.08533498576531807, -0.2455033567501232, 0.16304915964525815, -0.019891750883107306, -0.14413314612271885, 0.11259013626776222, 0.2541495537430617, 0.10555444915985895, -0.163401805961621, 0.006712321997878866, -0.05286475624242384, 0.1952759771006337, 0.010532078990298841, -0.05005637058703643, 0.16836943790678763, 0.25304352957625975, 0.04150170580897894, 0.15034542279609014, -0.06050858272744032, -0.07496609486147968, -0.22053601391121952, -0.07873668064647872, -0.16844399286718625, 0.008142018766051883, -0.08823513349796283, -0.14217386054337516, 0.40167968686307887, 0.17574183034529495, 0.24586305007752446, 0.11565538326071369, 0.30359574482750357, 0.06321892900806335, 0.07550754366610717, 0.07865457375268711, 0.164649568303624, 0.06953164336219844, 0.0682154612421679, -0.15155459626500184, 0.14978582527190965, 0.07514668916248612]
|
1,803.08356
|
$D \bar D$ asymmetry at low and high energies and possible consequences
for prompt atmospheric neutrinos
|
We discuss the role of unfavoured light quark/antiquark to $D$ meson
fragmentation. The unknown parameters of fragmentation process are adjusted to
describe the asymmetry for $D^+$ and $D^-$ production measured by the LHCb.
Predictions for similar asymmetry for neutral $D$ mesons are presented. The
predicted asymmetry at large rapidity (or $x_F$) are very large which is
related to the valence-quark contribution. As a result, prompt atmospheric
neutrino flux at high neutrino energies can be much larger than for the
conventional $c \to D$ fragmentation. We predict large rapidity-dependent
$D^+/D^-$ and $D^0/{\bar D}^0$ asymmetries for low ($\sqrt{s} =$ 20 - 100 GeV)
energies. The $q/\bar q \to D$ fragmentation leads to enhanced production of
$D$ mesons at low energies. Predictions for fixed target $p+^{4}\!\textrm{He}$
collisions relevant for a fixed target LHCb experiment are discussed.
|
hep-ph hep-ex
|
we discuss the role of unfavoured light quarkantiquark to d meson fragmentation the unknown parameters of fragmentation process are adjusted to describe the asymmetry for d and d production measured by the lhcb predictions for similar asymmetry for neutral d mesons are presented the predicted asymmetry at large rapidity or x_f are very large which is related to the valencequark contribution as a result prompt atmospheric neutrino flux at high neutrino energies can be much larger than for the conventional c to d fragmentation we predict large rapiditydependent dd and d0bar d0 asymmetries for low sqrts 20 100 gev energies the qbar q to d fragmentation leads to enhanced production of d mesons at low energies predictions for fixed target p4textrmhe collisions relevant for a fixed target lhcb experiment are discussed
|
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|
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|
1,803.08357
|
Expanding phenomena over matrix rings
|
In this paper, we study expanding phenomena in the setting of matrix rings.
More precisely, we will prove that
If $A$ is a set of $M_2(\mathbb{F}_q)$ and $|A|\gg q^{7/2}$, then we have
\[|A(A+A)|, ~|A+AA|\gg q^4.\]
If $A$ is a set of $SL_2(\mathbb{F}_q)$ and $|A|\gg q^{5/2}$, then we have
\[|A(A+A)|, ~|A+AA|\gg q^4.\]
We also obtain similar results for the cases of $A(B+C)$ and $A+BC$, where
$A, B, C$ are sets in $M_2(\mathbb{F}_q)$.
|
math.NT math.CO
|
in this paper we study expanding phenomena in the setting of matrix rings more precisely we will prove that if a is a set of m_2mathbbf_q and agg q72 then we have aaa aaagg q4 if a is a set of sl_2mathbbf_q and agg q52 then we have aaa aaagg q4 we also obtain similar results for the cases of abc and abc where a b c are sets in m_2mathbbf_q
|
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|
[-0.12791158565243624, 0.08735604295785081, -0.07653277881665906, 0.04337784247090623, -0.007214945052931113, -0.13055112673692518, 0.06606299595719677, 0.39683106850221084, -0.24455038069594484, -0.16177781265048283, 0.15898364970856693, -0.30861352689897836, -0.20662889273753807, 0.17262887899110566, -0.06895921550301919, -0.0038121636651122746, 0.07160577629762355, 0.06771082200332364, -0.04946556770409555, -0.23861965756696552, 0.31286846480763225, -0.06680614401155444, 0.1456369820203799, 0.048561575058013645, 0.04253830445179744, -0.04370964796685461, 0.06679684053689464, 0.08914960780262547, -0.21895816148340844, 0.10617258514142108, 0.21655974595515587, 0.14730353415387668, 0.23867985136362155, -0.35118296315698927, -0.0982638122791897, 0.1583544480572663, 0.15358047696775687, 0.11487442858924624, -0.04108551705587106, -0.18260031930212653, 0.21555766826078518, -0.18786383403896062, -0.08530915942070867, -0.09567208314634193, 0.10534850788761431, 0.016918224028881584, -0.351984535302244, 0.01730873315801858, 0.09810423817652375, 0.08234791673108269, -0.03579535861430106, -0.13411963913144906, -0.0033320477023831944, 0.06397155192055141, -0.01848722405648276, 0.024770536491258155, 0.012535535584468006, -0.08961184722816211, -0.07911872739404954, 0.3953054918726878, -0.04466701532477763, -0.20526173460616995, 0.15029479292874684, -0.16995526152426627, -0.21230872508499826, 0.037841111018475315, 0.13806233253441194, 0.13873399482734167, -0.09599803930231884, 0.1587439982138866, -0.14079840984473477, 0.13381809473329626, 0.0698572525879674, -0.036845908437702635, 0.08537165637114155, 0.1352257734553805, 0.06269692463987965, 0.16299348309594416, -0.09218479528216951, 0.033359175214349335, -0.31028405209975457, -0.23125511562145912, -0.12464628467308496, 0.05922753850359525, -0.046254530159188366, -0.15634974518985445, 0.3740104442990538, 0.14016929282737312, 0.22279583390301733, 0.05544516707270114, 0.21005811250365491, 0.07414211780084784, 0.012514555450605312, 0.09084816207525445, 0.1758596943830376, 0.07207252360435563, 0.02122153161065792, -0.1049644183089484, 0.009962491927418247, 0.07919601609568987]
|
1,803.08358
|
The three-body problem in dimension one: From short-range to contact
interactions
|
We consider a Hamiltonian describing three quantum particles in dimension one
interacting through two-body short-range potentials. We prove that, as a
suitable scale parameter in the potential terms goes to zero, such Hamiltonian
converges to one with zero-range (also called delta or point) interactions. The
convergence is understood in norm resolvent sense. The two-body rescaled
potentials are of the form $v^{\varepsilon}_{\sigma}(x_{\sigma})=
\varepsilon^{-1} v_{\sigma}(\varepsilon^{-1}x_\sigma )$, where $\sigma = 23,
12, 31$ is an index that runs over all the possible pairings of the three
particles, $x_{\sigma}$ is the relative coordinate between two particles, and
$\varepsilon$ is the scale parameter. The limiting Hamiltonian is the one
formally obtained by replacing the potentials $v_\sigma$ with $\alpha_\sigma
\delta_\sigma$, where $\delta_\sigma$ is the Dirac delta-distribution centered
on the coincidence hyperplane $x_\sigma=0$ and $\alpha_\sigma =
\int_{\mathbb{R}} v_\sigma dx_\sigma$. To prove the convergence of the
resolvents we make use of Faddeev's equations.
|
math-ph math.MP
|
we consider a hamiltonian describing three quantum particles in dimension one interacting through twobody shortrange potentials we prove that as a suitable scale parameter in the potential terms goes to zero such hamiltonian converges to one with zerorange also called delta or point interactions the convergence is understood in norm resolvent sense the twobody rescaled potentials are of the form vvarepsilon_sigmax_sigma varepsilon1 v_sigmavarepsilon1x_sigma where sigma 23 12 31 is an index that runs over all the possible pairings of the three particles x_sigma is the relative coordinate between two particles and varepsilon is the scale parameter the limiting hamiltonian is the one formally obtained by replacing the potentials v_sigma with alpha_sigma delta_sigma where delta_sigma is the dirac deltadistribution centered on the coincidence hyperplane x_sigma0 and alpha_sigma int_mathbbr v_sigma dx_sigma to prove the convergence of the resolvents we make use of faddeevs equations
|
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|
[-0.16626456078897783, 0.1660595227757754, -0.05420452503861178, 0.07341225677595029, -0.005246761160484259, -0.16469258507308754, -0.020370651028065036, 0.3115358636242108, -0.2674555143668735, -0.21509842281702204, 0.036479181553527334, -0.34763109351953736, -0.10258769787733267, 0.116411216187112, 0.016166000721463257, 0.04255112586205528, 0.019717837675420593, 0.08880807931426966, -0.07976136041806835, -0.2307816884510786, 0.34540199782982794, -0.020042671660885917, 0.15025983441054172, 0.05279874446990805, 0.09620079723443242, 0.023993976925418752, 0.05190196216268384, -0.022148680890086984, -0.1419325937636988, 0.04949112928580439, 0.18660774288456078, 0.025730844322200595, 0.2528802165525385, -0.3589340442508135, -0.14096535751731068, 0.15874644023352774, 0.17744918874856355, 0.04340381891993077, 0.0182912768348984, -0.27407430463969923, 0.05302190776759138, -0.143096070075299, -0.20653422652284845, -0.05993364551577015, 0.02794632651384218, 0.04684408797302108, -0.2967407666011781, 0.08941200696943374, 0.05828978171416236, 0.024234035827406762, -0.05970833486323987, -0.11215013003084755, -0.013719606525399655, 0.06493025668981094, 0.05121356707177651, 0.049876794568262994, 0.113010600047267, -0.0862874094163999, -0.07538340207732593, 0.3989958027276494, -0.09025487244851294, -0.26034632354866766, 0.1451436798054509, -0.13811887160240524, -0.10947192436340603, 0.10122703714971093, 0.07874073552818078, 0.10994821352938162, -0.1495298787182116, 0.2002868934296598, -0.024052217700586156, 0.13396594921515856, 0.09345148434606043, 0.003521016650441764, 0.0952981597258021, 0.12244200039708959, 0.11991618329024725, 0.0934980254944252, -0.08831585929864019, -0.16166382326037568, -0.3391699758965684, -0.15257459475179674, -0.2184230549593348, 0.09300532479487035, -0.1499678866287771, -0.16411173260649262, 0.3670909374975937, 0.11635292896560555, 0.2427327049612675, 0.08576873475112075, 0.2140624768478607, 0.16085183063599592, 0.0471975176487172, 0.08498356427889371, 0.23623854207192158, 0.14076277688044406, 0.028403650172075013, -0.1913053924867384, -0.028486729977463467, 0.13911101561498598]
|
1,803.08359
|
Securing Conditional Branches in the Presence of Fault Attacks
|
In typical software, many comparisons and subsequent branch operations are
highly critical in terms of security. Examples include password checks,
signature checks, secure boot, and user privilege checks. For embedded devices,
these security-critical branches are a preferred target of fault attacks as a
single bit flip or skipping a single instruction can lead to complete access to
a system. In the past, numerous redundancy schemes have been proposed in order
to provide control-flow-integrity (CFI) and to enable error detection on
processed data. However, current countermeasures for general purpose software
do not provide protection mechanisms for conditional branches. Hence, critical
branches are in practice often simply duplicated.
We present a generic approach to protect conditional branches, which links an
encoding-based comparison result with the redundancy of CFI protection
mechanisms. The presented approach can be used for all types of data encodings
and CFI mechanisms and maintains their error-detection capabilities throughout
all steps of a conditional branch. We demonstrate our approach by realizing an
encoded comparison based on AN-codes, which is a frequently used encoding
scheme to detect errors on data during arithmetic operations. We extended the
LLVM compiler so that standard code and conditional branches can be protected
automatically and analyze its security. Our design shows that the overhead in
terms of size and runtime is lower than state-of-the-art duplication schemes.
|
cs.CR
|
in typical software many comparisons and subsequent branch operations are highly critical in terms of security examples include password checks signature checks secure boot and user privilege checks for embedded devices these securitycritical branches are a preferred target of fault attacks as a single bit flip or skipping a single instruction can lead to complete access to a system in the past numerous redundancy schemes have been proposed in order to provide controlflowintegrity cfi and to enable error detection on processed data however current countermeasures for general purpose software do not provide protection mechanisms for conditional branches hence critical branches are in practice often simply duplicated we present a generic approach to protect conditional branches which links an encodingbased comparison result with the redundancy of cfi protection mechanisms the presented approach can be used for all types of data encodings and cfi mechanisms and maintains their errordetection capabilities throughout all steps of a conditional branch we demonstrate our approach by realizing an encoded comparison based on ancodes which is a frequently used encoding scheme to detect errors on data during arithmetic operations we extended the llvm compiler so that standard code and conditional branches can be protected automatically and analyze its security our design shows that the overhead in terms of size and runtime is lower than stateoftheart duplication schemes
|
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|
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|
1,803.0836
|
The hidden role of coupled wave network topology on the dynamics of
nonlinear lattices
|
In most systems, its division into interacting constituent elements gives
rise to a natural network structure. Analyzing the dynamics of these elements
and the topology of these natural graphs gave rise to the fields of (nonlinear)
dynamics and network science, respectively. However, just as an object in a
potential well can be described as both a particle (real space representation)
and a wave (reciprocal or Fourier space representation), the `natural' network
structure of these interacting constituent elements is not unique. In
particular, in this work we develop a formalism for Fourier Transforming these
networks to create a new class of interacting constituent elements $-$ the
coupled wave network $-$ and discuss the nontrivial experimental realizations
of these structures. This perspective unifies many previously distinct
structures, most prominently the set of local nonlinear lattice models, and
reveals new forms of order in nonlinear media. Notably, by analyzing the
topological characteristics of nonlinear scattering processes, we can control
the system's dynamics and isolate the different dynamical regimes that arise
from this reciprocal network structure, including the bounding scattering
topologies.
|
physics.class-ph
|
in most systems its division into interacting constituent elements gives rise to a natural network structure analyzing the dynamics of these elements and the topology of these natural graphs gave rise to the fields of nonlinear dynamics and network science respectively however just as an object in a potential well can be described as both a particle real space representation and a wave reciprocal or fourier space representation the natural network structure of these interacting constituent elements is not unique in particular in this work we develop a formalism for fourier transforming these networks to create a new class of interacting constituent elements the coupled wave network and discuss the nontrivial experimental realizations of these structures this perspective unifies many previously distinct structures most prominently the set of local nonlinear lattice models and reveals new forms of order in nonlinear media notably by analyzing the topological characteristics of nonlinear scattering processes we can control the systems dynamics and isolate the different dynamical regimes that arise from this reciprocal network structure including the bounding scattering topologies
|
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|
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|
1,803.08361
|
Phonon-assisted magnetic Mott-insulating state in the charge density
wave phase of single-layer 1TNbSe2
|
We study the structural, electronic and vibrational properties of
single-layer 1TNbSe$_2$ from first principles. Within the generalized gradient
approximation, the 1T polytype is highly unstable with respect to the 2H. The
DFT+U method improves the stability of the 1T phase, explaining its detection
in experiments. A charge density wave occurs with a
$\sqrt{13}\times\sqrt{13}~R30^{\circ}$ periodicity, in agreement with STM data.
At $U=0$, the David-star reconstruction displays a flat band below the Fermi
level with a marked d$_{z^2-r^2}$ orbital character of the central Nb. The
Hubbard interaction induces a magnetic Mott insulating state. Magnetism
distorts the lattice around the central Nb atom in the star, reduces the
hybridization between the central Nb d$_{z^2-r^2}$ orbital and the neighbouring
Se p-states and lifts in energy the flat band becoming non-bonding. This
cooperative lattice and magnetic effect amplifies the Mott gap. Single-layer
1TNbSe$_2$ is then a phonon-assisted spin-$1/2$ Magnetic Mott insulator.
|
cond-mat.mtrl-sci cond-mat.str-el
|
we study the structural electronic and vibrational properties of singlelayer 1tnbse_2 from first principles within the generalized gradient approximation the 1t polytype is highly unstable with respect to the 2h the dftu method improves the stability of the 1t phase explaining its detection in experiments a charge density wave occurs with a sqrt13timessqrt13r30circ periodicity in agreement with stm data at u0 the davidstar reconstruction displays a flat band below the fermi level with a marked d_z2r2 orbital character of the central nb the hubbard interaction induces a magnetic mott insulating state magnetism distorts the lattice around the central nb atom in the star reduces the hybridization between the central nb d_z2r2 orbital and the neighbouring se pstates and lifts in energy the flat band becoming nonbonding this cooperative lattice and magnetic effect amplifies the mott gap singlelayer 1tnbse_2 is then a phononassisted spin12 magnetic mott insulator
|
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|
[-0.19273304692857587, 0.1676059774124749, -0.02208318999651561, 0.049021224660262104, -0.005670549305957845, -0.13381577894647811, 0.13265383678177992, 0.3908708933740854, -0.28432022055817974, -0.24155847980465397, -0.05075713898339826, -0.36832290675051305, -0.10564479581727129, 0.08589408882997102, 0.057780743856306396, -0.03186220486249011, 0.0031828161898172563, -0.026793377212015912, -0.16907164170859484, -0.14959698996810605, 0.29520376994171077, 0.060312908864741784, 0.32742085196756915, 0.08087136198365544, -0.009943748137933047, 0.03613665129685412, 0.15086018951519187, -0.007250371030143772, -0.14663207314333704, 0.07669728306710669, 0.23000775526007702, -0.12882297362537226, 0.2245032486551079, -0.4327793145009006, -0.16730508066151137, -0.020256027372346982, 0.10733439242337933, 0.13426808774885204, -0.06611968630042814, -0.2960559931622508, 0.038047517198720016, -0.14954273966011694, -0.11448983286391012, -0.04960942348568804, -0.033165766508318484, -0.01071541976691353, -0.21932238656316055, 0.1446638499328401, 0.06317395344214877, 0.07868474756186414, -0.148803993297204, -0.11871117827508391, -0.14928482131735007, 0.04039597243819218, 0.03750747664404722, 0.11265181109229161, 0.15353965497019495, -0.112239642990365, -0.07076413965195469, 0.38530387957062984, -0.06730737009396155, -0.05901396087493696, 0.15421466973687833, -0.20706041826633736, -0.07153978350753379, 0.1893384376890026, 0.05630630383610777, 0.05972476950329211, -0.06486235230598443, 0.12977824791030595, 0.006980581287583239, 0.20795155707229343, 0.03805219290208899, 0.08425615801747376, 0.25211540415653466, 0.24058673789477325, 0.06511854243257807, 0.13891005577736198, -0.19503403275141157, -0.07510896118926919, -0.1990918884597098, -0.1610412490554154, -0.2360270502524347, 0.0461551898676286, -0.08984568624186472, -0.2101902287977282, 0.41762751224450767, 0.09398908435185957, 0.19524273227984346, -0.067705969381172, 0.22149911454228763, 0.11150735747327821, 0.03678149453157352, 0.05030181177345286, 0.2731072128889436, 0.18583816011798465, 0.11747948093398008, -0.3148060956316638, 0.043508638786281355, 0.044985751519561745]
|
1,803.08362
|
Consciousness: From the Perspective of the Dynamical Systems Theory
|
Beings, animate or inanimate, are dynamical systems which continuously
interact with the (external and /or internal) environment through the physical
or physiologic interfaces of their Kantian (representational) realities. And
the nature of their interactions is determined by the inner workings of their
systems. It is from this perspective that this work attempts to address some of
the long-held philosophical questions, major one among them consciousness-- in
the context of the physicality of the dynamic systems.
|
q-bio.NC
|
beings animate or inanimate are dynamical systems which continuously interact with the external and or internal environment through the physical or physiologic interfaces of their kantian representational realities and the nature of their interactions is determined by the inner workings of their systems it is from this perspective that this work attempts to address some of the longheld philosophical questions major one among them consciousness in the context of the physicality of the dynamic systems
|
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|
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|
1,803.08363
|
Cumulative probability for the sum of exponentially-distributed
variables
|
Exponential distributions appear in a wide range of applications including
chemistry, nuclear physics, time series analyses, and stock market trends.
There are conceivable circumstances in which one would be interested in the
cumulative probability distribution of the sum of some number of exponential
variables, with potentially differing constants in their exponents. In this
article we present a pedagogical derivation of the cumulative distribution,
which reproduces the known formula from power density analyses in the limit
that all of the constants are equal, and which assumes no prior knowledge of
combinatorics except for some of the properties of a class of symmetric
polynomials in $n$ variables (Schur polynomials).
|
math.HO
|
exponential distributions appear in a wide range of applications including chemistry nuclear physics time series analyses and stock market trends there are conceivable circumstances in which one would be interested in the cumulative probability distribution of the sum of some number of exponential variables with potentially differing constants in their exponents in this article we present a pedagogical derivation of the cumulative distribution which reproduces the known formula from power density analyses in the limit that all of the constants are equal and which assumes no prior knowledge of combinatorics except for some of the properties of a class of symmetric polynomials in n variables schur polynomials
|
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|
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|
1,803.08364
|
Restricted space ab initio models for double ionization by strong laser
pulses
|
Double electron ionisation process occurs when an intense laser pulse
interacts with atoms or molecules. Exact {\it ab initio} numerical simulation
of such a situation is extremely computer resources demanding, thus often one
is forced to apply reduced dimensionality models to get insight into the
physics of the process. The performance of several algorithms for simulating
double electron ionization by strong femtosecond laser pulses are studied. The
obtained ionization yields and the momentum distributions of the released
electrons are compared, and the effects of the model dimensionality on the
ionization dynamics discussed.
|
physics.atom-ph
|
double electron ionisation process occurs when an intense laser pulse interacts with atoms or molecules exact it ab initio numerical simulation of such a situation is extremely computer resources demanding thus often one is forced to apply reduced dimensionality models to get insight into the physics of the process the performance of several algorithms for simulating double electron ionization by strong femtosecond laser pulses are studied the obtained ionization yields and the momentum distributions of the released electrons are compared and the effects of the model dimensionality on the ionization dynamics discussed
|
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|
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|
1,803.08365
|
NuSTAR Detection of X-Ray Heating Events in the Quiet Sun
|
The explanation of the coronal heating problem potentially lies in the
existence of nanoflares, numerous small-scale heating events occuring across
the whole solar disk. In this paper, we present the first imaging spectroscopy
X-ray observations of three quiet Sun flares during the NuSTAR solar campaigns
on 2016 July 26 and 2017 March 21, concurrent with SDO/AIA observations. Two of
the three events showed time lags of a few minutes between peak X-ray and
extreme ultraviolet (EUV) emissions. Isothermal fits with rather low
temperatures in the range $3.2-4.1$ MK and emission measures of
$(0.6-15)\times10^{44} \textrm{ cm}^{-3}$ describe their spectra well,
resulting in thermal energies in the range $(2-6)\times10^{26}\textrm{ ergs}$.
NuSTAR spectra did not show any signs of a nonthermal or higher temperature
component. However, since the estimated upper limits of (hidden) nonthermal
energy are comparable to the thermal energy estimates, the lack of a nonthermal
component in the observed spectra is not a constraining result. The estimated
GOES classes from the fitted values of temperature and emission measure fall
between $1/1000 \textrm{ and } 1/100$ A class level, making them 8 orders of
magnitude fainter in soft X-ray flux than the largest solar flares.
|
astro-ph.SR astro-ph.HE
|
the explanation of the coronal heating problem potentially lies in the existence of nanoflares numerous smallscale heating events occuring across the whole solar disk in this paper we present the first imaging spectroscopy xray observations of three quiet sun flares during the nustar solar campaigns on 2016 july 26 and 2017 march 21 concurrent with sdoaia observations two of the three events showed time lags of a few minutes between peak xray and extreme ultraviolet euv emissions isothermal fits with rather low temperatures in the range 3241 mk and emission measures of 0615times1044 textrm cm3 describe their spectra well resulting in thermal energies in the range 26times1026textrm ergs nustar spectra did not show any signs of a nonthermal or higher temperature component however since the estimated upper limits of hidden nonthermal energy are comparable to the thermal energy estimates the lack of a nonthermal component in the observed spectra is not a constraining result the estimated goes classes from the fitted values of temperature and emission measure fall between 11000 textrm and 1100 a class level making them 8 orders of magnitude fainter in soft xray flux than the largest solar flares
|
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|
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|
1,803.08366
|
Crystal growth, characterization and advanced study of the
noncentrosymmetric superconductor Mo$_3$Al$_2$C
|
We report on the first successful growth of single crystals of the
noncentrosymmetric superconductor Mo$_3$Al$_2$C obtained by means of a
cubic-anvil, high-pressure and high-temperature technique. Composition,
structure, and normal-state transport properties of the crystals were studied
by means of X-ray diffraction, energy-dispersive X-ray spectroscopy, magnetic
susceptibility and resistivity measurements as a function of temperature.
Variations in critical temperature ($T_c$) between 8.6 and 9.3 K were observed,
probably due to the slightly different carbon stoichiometry of the samples.
Single-crystal X-ray refinement confirmed the high structural perfection of the
grown crystals. Remarkably, the refined Flack parameter values for all the
measured crystals using a $P4_132$ space-group model were consistently close to
either 0 or 1, hence indicating that the considered crystals belong to two
enantiomorphic space groups, $P4_132$ and $P4_332$. An anomaly in the
resistivity is observed at about 130 K, most likely associated with the onset
of a charge-density-wave phase. The superconducting properties (and in
particular the symmetry, the amplitude and the temperature dependence of the
superconducting gap) were studied by using - for the first time in this
compound - point contact Andreev-reflection spectroscopy. The results confirm
that Mo$_3$Al$_2$C is a moderately strongly-coupled superconductor with
$2\Delta/k_BT_c \simeq 4$ and unambiguously prove that the order parameter has
an s-wave symmetry despite the asymmetric spin-orbit coupling arising from the
lack of inversion symmetry.
|
cond-mat.supr-con
|
we report on the first successful growth of single crystals of the noncentrosymmetric superconductor mo_3al_2c obtained by means of a cubicanvil highpressure and hightemperature technique composition structure and normalstate transport properties of the crystals were studied by means of xray diffraction energydispersive xray spectroscopy magnetic susceptibility and resistivity measurements as a function of temperature variations in critical temperature t_c between 86 and 93 k were observed probably due to the slightly different carbon stoichiometry of the samples singlecrystal xray refinement confirmed the high structural perfection of the grown crystals remarkably the refined flack parameter values for all the measured crystals using a p4_132 spacegroup model were consistently close to either 0 or 1 hence indicating that the considered crystals belong to two enantiomorphic space groups p4_132 and p4_332 an anomaly in the resistivity is observed at about 130 k most likely associated with the onset of a chargedensitywave phase the superconducting properties and in particular the symmetry the amplitude and the temperature dependence of the superconducting gap were studied by using for the first time in this compound point contact andreevreflection spectroscopy the results confirm that mo_3al_2c is a moderately stronglycoupled superconductor with 2deltak_bt_c simeq 4 and unambiguously prove that the order parameter has an swave symmetry despite the asymmetric spinorbit coupling arising from the lack of inversion symmetry
|
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|
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|
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