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1,803.01767
Mutation and selection in bacteria: modelling and calibration
Temporal evolution of a clonal bacterial population is modelled taking into account reversible mutation and selection mechanisms. For the mutation model, an efficient algorithm is proposed to verify whether experimental data can be explained by this model. The selection-mutation model has unobservable fitness parameters and, to estimate them, we use an Approximate Bayesian Computation (ABC) algorithm. The algorithms are illustrated using in vitro data for phase variable genes of Campylobacter jejuni.
q-bio.PE math.PR q-bio.QM
temporal evolution of a clonal bacterial population is modelled taking into account reversible mutation and selection mechanisms for the mutation model an efficient algorithm is proposed to verify whether experimental data can be explained by this model the selectionmutation model has unobservable fitness parameters and to estimate them we use an approximate bayesian computation abc algorithm the algorithms are illustrated using in vitro data for phase variable genes of campylobacter jejuni
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1,803.01768
An Analysis of the t-SNE Algorithm for Data Visualization
A first line of attack in exploratory data analysis is data visualization, i.e., generating a 2-dimensional representation of data that makes clusters of similar points visually identifiable. Standard Johnson-Lindenstrauss dimensionality reduction does not produce data visualizations. The t-SNE heuristic of van der Maaten and Hinton, which is based on non-convex optimization, has become the de facto standard for visualization in a wide range of applications. This work gives a formal framework for the problem of data visualization - finding a 2-dimensional embedding of clusterable data that correctly separates individual clusters to make them visually identifiable. We then give a rigorous analysis of the performance of t-SNE under a natural, deterministic condition on the "ground-truth" clusters (similar to conditions assumed in earlier analyses of clustering) in the underlying data. These are the first provable guarantees on t-SNE for constructing good data visualizations. We show that our deterministic condition is satisfied by considerably general probabilistic generative models for clusterable data such as mixtures of well-separated log-concave distributions. Finally, we give theoretical evidence that t-SNE provably succeeds in partially recovering cluster structure even when the above deterministic condition is not met.
cs.LG
a first line of attack in exploratory data analysis is data visualization ie generating a 2dimensional representation of data that makes clusters of similar points visually identifiable standard johnsonlindenstrauss dimensionality reduction does not produce data visualizations the tsne heuristic of van der maaten and hinton which is based on nonconvex optimization has become the de facto standard for visualization in a wide range of applications this work gives a formal framework for the problem of data visualization finding a 2dimensional embedding of clusterable data that correctly separates individual clusters to make them visually identifiable we then give a rigorous analysis of the performance of tsne under a natural deterministic condition on the groundtruth clusters similar to conditions assumed in earlier analyses of clustering in the underlying data these are the first provable guarantees on tsne for constructing good data visualizations we show that our deterministic condition is satisfied by considerably general probabilistic generative models for clusterable data such as mixtures of wellseparated logconcave distributions finally we give theoretical evidence that tsne provably succeeds in partially recovering cluster structure even when the above deterministic condition is not met
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1,803.01769
Accelerating Light with Metasurfaces
It has been recently shown that especially engineered light beams have the remarkable ability to propagate along curved trajectories in vacuum. Current methods for generating accelerating beams use phase modulators and lenses leading to length scales on the order of tens of centimeters or larger. This poses constraints and severely limits their applicability inside materials. Here, we accelerate light inside glass using a metasurface consisting of plasmonic nanoantennas. Highly-bending beams with radii of curvature on the order of a hundred microns were generated, and the imaged intensities agree well with theory. Our approach for generating accelerating beams allows for their integration into on-chip photonic systems.
physics.optics
it has been recently shown that especially engineered light beams have the remarkable ability to propagate along curved trajectories in vacuum current methods for generating accelerating beams use phase modulators and lenses leading to length scales on the order of tens of centimeters or larger this poses constraints and severely limits their applicability inside materials here we accelerate light inside glass using a metasurface consisting of plasmonic nanoantennas highlybending beams with radii of curvature on the order of a hundred microns were generated and the imaged intensities agree well with theory our approach for generating accelerating beams allows for their integration into onchip photonic systems
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1,803.0177
High Sensitivity RF Spectroscopy of a Strongly-Interacting Fermi Gas
Rf spectroscopy is one of the most powerful probing techniques in the field of ultracold gases. We report on a novel rf spectroscopy scheme with which we can detect very weak signals of only a few atoms. Using this method, we extended the experimentally accessible photon-energies range by an order of magnitude compared to previous studies. We verify directly a universal property of fermions with short-range interactions which is a power-law scaling of the rf spectrum tail all the way up to the interaction scale. We also employ our technique to precisely measure the binding energy of Feshbach molecules in an extended range of magnetic fields. This data is used to extract a new calibration of the Feshbach resonance between the two lowest energy levels of 40K
cond-mat.quant-gas physics.atom-ph
rf spectroscopy is one of the most powerful probing techniques in the field of ultracold gases we report on a novel rf spectroscopy scheme with which we can detect very weak signals of only a few atoms using this method we extended the experimentally accessible photonenergies range by an order of magnitude compared to previous studies we verify directly a universal property of fermions with shortrange interactions which is a powerlaw scaling of the rf spectrum tail all the way up to the interaction scale we also employ our technique to precisely measure the binding energy of feshbach molecules in an extended range of magnetic fields this data is used to extract a new calibration of the feshbach resonance between the two lowest energy levels of 40k
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1,803.01771
Universal Scaling Laws in Schottky Heterostructures Based on Two-Dimensional Materials
We identify a new universality in the carrier transport of two-dimensional(2D)-material-based Schottky heterostructures. We show that the reversed saturation current ($\mathcal{J}$) scales universally with temperature ($T$) as $ \log(\mathcal{J}/T^{\beta}) \propto -1/T$, with $\beta = 3/2$ for lateral Schottky heterostructures and $\beta = 1$ for vertical Schottky heterostructures, over a wide range of 2D systems including nonrelativistic electron gas, Rashba spintronic system, single and few-layer graphene, transition metal dichalcogenides and thin-films of topological solids. Such universalities originate from the strong coupling between the thermionic process and the in-plane carrier dynamics. Our model resolves some of the conflicting results from prior works and is in agreement with recent experiments. The universal scaling laws signal the breakdown of $\beta=2$ scaling in the classic diode equation widely-used over the past 60 years. Our findings shall provide a simple analytical scaling for the extraction of the Schottky barrier height in 2D-material-based heterostructure, thus paving way for both fundamental understanding of nanoscale interface physics and applied device engineering.
cond-mat.mes-hall cond-mat.mtrl-sci physics.app-ph
we identify a new universality in the carrier transport of twodimensional2dmaterialbased schottky heterostructures we show that the reversed saturation current mathcalj scales universally with temperature t as logmathcaljtbeta propto 1t with beta 32 for lateral schottky heterostructures and beta 1 for vertical schottky heterostructures over a wide range of 2d systems including nonrelativistic electron gas rashba spintronic system single and fewlayer graphene transition metal dichalcogenides and thinfilms of topological solids such universalities originate from the strong coupling between the thermionic process and the inplane carrier dynamics our model resolves some of the conflicting results from prior works and is in agreement with recent experiments the universal scaling laws signal the breakdown of beta2 scaling in the classic diode equation widelyused over the past 60 years our findings shall provide a simple analytical scaling for the extraction of the schottky barrier height in 2dmaterialbased heterostructure thus paving way for both fundamental understanding of nanoscale interface physics and applied device engineering
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1,803.01772
Reciprocity approach for calculating the Purcell effect for emission into an open optical system
Based on the reciprocity theorem, we present a formalism to calculate the power emitted by a dipole source into a particular propagating mode leaving an open optical system. The open system is completely arbitrary and the approach can be used in analytical calculations but may also be combined with numerical electromagnetic solvers to describe the emission of light sources into complex systems. We exemplify the use of the formalism in numerical simulations by analyzing the emission of a dipole that is placed inside a cavity with connected single mode exit waveguide. Additionally, we show at the example of a practical ring resonator system how the approach can be applied to systems that offer multiple electromagnetic energy decay channels. As a consequence of its inherent simplicity and broad applicability, the approach may serve as a powerful and practical tool for engineering light-matter-interaction in a variety of active optical systems.
physics.optics
based on the reciprocity theorem we present a formalism to calculate the power emitted by a dipole source into a particular propagating mode leaving an open optical system the open system is completely arbitrary and the approach can be used in analytical calculations but may also be combined with numerical electromagnetic solvers to describe the emission of light sources into complex systems we exemplify the use of the formalism in numerical simulations by analyzing the emission of a dipole that is placed inside a cavity with connected single mode exit waveguide additionally we show at the example of a practical ring resonator system how the approach can be applied to systems that offer multiple electromagnetic energy decay channels as a consequence of its inherent simplicity and broad applicability the approach may serve as a powerful and practical tool for engineering lightmatterinteraction in a variety of active optical systems
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1,803.01773
Light scalar dark matter at neutrino oscillation experiments
Couplings between light scalar dark matter (DM) and neutrinos induce a perturbation to the neutrino mass matrix. If the DM oscillation period is smaller than ten minutes (or equivalently, the DM particle is heavier than $0.69\times10^{-17}$ eV), the fast-averaging over an oscillation cycle leads to a modification of the measured oscillation parameters. We present a specific $\mu-\tau$ symmetric model in which the measured value of $\theta_{13}$ is entirely generated by the DM interaction, and which reproduces the other measured oscillation parameters. For a scalar DM particle lighter than $10^{-15}$ eV, adiabatic solar neutrino propagation is maintained. A suppression of the sensitivity to CP violation at long-baseline neutrino experiments is predicted in this model. We find that DUNE cannot exclude the DM scenario at more than $3\sigma$ C.L. for bimaximal, tribimaximal and hexagonal mixing, while JUNO can rule it out at more than $6\sigma$ C.L. by precisely measuring both $\theta_{12}$ and $\theta_{13}$.
hep-ph astro-ph.CO hep-ex
couplings between light scalar dark matter dm and neutrinos induce a perturbation to the neutrino mass matrix if the dm oscillation period is smaller than ten minutes or equivalently the dm particle is heavier than 069times1017 ev the fastaveraging over an oscillation cycle leads to a modification of the measured oscillation parameters we present a specific mutau symmetric model in which the measured value of theta_13 is entirely generated by the dm interaction and which reproduces the other measured oscillation parameters for a scalar dm particle lighter than 1015 ev adiabatic solar neutrino propagation is maintained a suppression of the sensitivity to cp violation at longbaseline neutrino experiments is predicted in this model we find that dune cannot exclude the dm scenario at more than 3sigma cl for bimaximal tribimaximal and hexagonal mixing while juno can rule it out at more than 6sigma cl by precisely measuring both theta_12 and theta_13
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1,803.01774
Spin lifetime and charge noise in hot silicon quantum dot qubits
We investigate the magnetic field and temperature dependence of the single-electron spin lifetime in silicon quantum dots and find a lifetime of 2.8 ms at a temperature of 1.1 K. We develop a model based on spin-valley mixing and find that Johnson noise and two-phonon processes limit relaxation at low and high temperature respectively. We also investigate the effect of temperature on charge noise and find a linear dependence up to 4 K. These results contribute to the understanding of relaxation in silicon quantum dots and are promising for qubit operation at elevated temperatures.
cond-mat.mes-hall
we investigate the magnetic field and temperature dependence of the singleelectron spin lifetime in silicon quantum dots and find a lifetime of 28 ms at a temperature of 11 k we develop a model based on spinvalley mixing and find that johnson noise and twophonon processes limit relaxation at low and high temperature respectively we also investigate the effect of temperature on charge noise and find a linear dependence up to 4 k these results contribute to the understanding of relaxation in silicon quantum dots and are promising for qubit operation at elevated temperatures
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1,803.01775
Single-shot readout of hole spins in Ge
The strong atomistic spin orbit coupling of holes makes single-shot spin readout measurements difficult because it reduces the spin lifetimes. By integrating the charge sensor into a high bandwidth radio-frequency reflectometry setup we were able to demonstrate single-shot readout of a germanium quantum dot hole spin and measure the spin lifetime. Hole spin relaxation times of about 90 $\mu$s at 500\,mT are reported. By analysing separately the spin-to-charge conversion and charge readout fidelities insight into the processes limiting the visibilities of hole spins has been obtained. The analyses suggest that very high hole visibilities are feasible at realistic experimental conditions underlying the potential of hole spins for the realization of viable qubit devices.
cond-mat.mes-hall
the strong atomistic spin orbit coupling of holes makes singleshot spin readout measurements difficult because it reduces the spin lifetimes by integrating the charge sensor into a high bandwidth radiofrequency reflectometry setup we were able to demonstrate singleshot readout of a germanium quantum dot hole spin and measure the spin lifetime hole spin relaxation times of about 90 mus at 500mt are reported by analysing separately the spintocharge conversion and charge readout fidelities insight into the processes limiting the visibilities of hole spins has been obtained the analyses suggest that very high hole visibilities are feasible at realistic experimental conditions underlying the potential of hole spins for the realization of viable qubit devices
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1,803.01776
Fundamental precision bounds for three-dimensional optical localization microscopy with Poisson statistics
Point source localization is a problem of persistent interest in optical imaging. In particular, a number of widely used biological microscopy techniques rely on precise three-dimensional localization of single fluorophores. As emitter depth localization is more challenging than lateral localization, considerable effort has been spent on engineering the response of the microscope in a way that reveals increased depth information. Here we consider the theoretical limits of such approaches by deriving the quantum Cram\'{e}r-Rao bound (QCRB). We show that existing methods for depth localization with single-objective detection exceed the QCRB by a factor $>\sqrt{2}$, and propose an interferometer arrangement that approaches the bound. We also show that for detection with two opposed objectives, established interferometric measurement techniques globally reach the QCRB.
physics.optics
point source localization is a problem of persistent interest in optical imaging in particular a number of widely used biological microscopy techniques rely on precise threedimensional localization of single fluorophores as emitter depth localization is more challenging than lateral localization considerable effort has been spent on engineering the response of the microscope in a way that reveals increased depth information here we consider the theoretical limits of such approaches by deriving the quantum cramerrao bound qcrb we show that existing methods for depth localization with singleobjective detection exceed the qcrb by a factor sqrt2 and propose an interferometer arrangement that approaches the bound we also show that for detection with two opposed objectives established interferometric measurement techniques globally reach the qcrb
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1,803.01777
Kinematic Morphing Networks for Manipulation Skill Transfer
The transfer of a robot skill between different geometric environments is non-trivial since a wide variety of environments exists, sensor observations as well as robot motions are high-dimensional, and the environment might only be partially observed. We consider the problem of extracting a low-dimensional description of the manipulated environment in form of a kinematic model. This allows us to transfer a skill by defining a policy on a prototype model and morphing the observed environment to this prototype. A deep neural network is used to map depth image observations of the environment to morphing parameter, which include transformation and configuration parameters of the prototype model. Using the concatenation property of affine transformations and the ability to convert point clouds to depth images allows to apply the network in an iterative manner. The network is trained on data generated in a simulator and on augmented data that is created by using network predictions. The algorithm is evaluated on different tasks, where it is shown that iterative predictions lead to a higher accuracy than one-step predictions.
cs.RO cs.LG
the transfer of a robot skill between different geometric environments is nontrivial since a wide variety of environments exists sensor observations as well as robot motions are highdimensional and the environment might only be partially observed we consider the problem of extracting a lowdimensional description of the manipulated environment in form of a kinematic model this allows us to transfer a skill by defining a policy on a prototype model and morphing the observed environment to this prototype a deep neural network is used to map depth image observations of the environment to morphing parameter which include transformation and configuration parameters of the prototype model using the concatenation property of affine transformations and the ability to convert point clouds to depth images allows to apply the network in an iterative manner the network is trained on data generated in a simulator and on augmented data that is created by using network predictions the algorithm is evaluated on different tasks where it is shown that iterative predictions lead to a higher accuracy than onestep predictions
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1,803.01778
Probing Macroscopic Quantum Superpositions with Nanorotors
Whether quantum physics is universally valid is an open question with far-reaching implications. Intense research is therefore invested into testing the quantum superposition principle with ever heavier and more complex objects. Here we propose a radically new, experimentally viable route towards studies at the quantum-to-classical borderline by probing the orientational quantum revivals of a nanoscale rigid rotor. The proposed interference experiment testifies a macroscopic superposition of all possible orientations. It requires no diffraction grating, uses only a single levitated particle, and works with moderate motional temperatures under realistic environmental conditions. The first exploitation of quantum rotations of a massive object opens the door to new tests of quantum physics with submicron particles and to quantum gyroscopic torque sensors, holding the potential to improve state-of-the art devices by many orders of magnitude.
quant-ph
whether quantum physics is universally valid is an open question with farreaching implications intense research is therefore invested into testing the quantum superposition principle with ever heavier and more complex objects here we propose a radically new experimentally viable route towards studies at the quantumtoclassical borderline by probing the orientational quantum revivals of a nanoscale rigid rotor the proposed interference experiment testifies a macroscopic superposition of all possible orientations it requires no diffraction grating uses only a single levitated particle and works with moderate motional temperatures under realistic environmental conditions the first exploitation of quantum rotations of a massive object opens the door to new tests of quantum physics with submicron particles and to quantum gyroscopic torque sensors holding the potential to improve stateofthe art devices by many orders of magnitude
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1,803.01779
An Eulerian Finite Element Method for PDEs in time-dependent domains
The paper introduces a new finite element numerical method for the solution of partial differential equations on evolving domains. The approach uses a completely Eulerian description of the domain motion. The physical domain is embedded in a triangulated computational domain and can overlap the time-independent background mesh in an arbitrary way. The numerical method is based on finite difference discretizations of time derivatives and a standard geometrically unfitted finite element method with an additional stabilization term in the spatial domain. The performance and analysis of the method rely on the fundamental extension result in Sobolev spaces for functions defined on bounded domains. This paper includes a complete stability and error analysis, which accounts for discretization errors resulting from finite difference and finite element approximations as well as for geometric errors coming from a possible approximate recovery of the physical domain. Several numerical examples illustrate the theory and demonstrate the practical efficiency of the method.
math.NA
the paper introduces a new finite element numerical method for the solution of partial differential equations on evolving domains the approach uses a completely eulerian description of the domain motion the physical domain is embedded in a triangulated computational domain and can overlap the timeindependent background mesh in an arbitrary way the numerical method is based on finite difference discretizations of time derivatives and a standard geometrically unfitted finite element method with an additional stabilization term in the spatial domain the performance and analysis of the method rely on the fundamental extension result in sobolev spaces for functions defined on bounded domains this paper includes a complete stability and error analysis which accounts for discretization errors resulting from finite difference and finite element approximations as well as for geometric errors coming from a possible approximate recovery of the physical domain several numerical examples illustrate the theory and demonstrate the practical efficiency of the method
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1,803.0178
A generalized parametric 3D shape representation for articulated pose estimation
We present a novel parametric 3D shape representation, Generalized sum of Gaussians (G-SoG), which is particularly suitable for pose estimation of articulated objects. Compared with the original sum-of-Gaussians (SoG), G-SoG can handle both isotropic and anisotropic Gaussians, leading to a more flexible and adaptable shape representation yet with much fewer anisotropic Gaussians involved. An articulated shape template can be developed by embedding G-SoG in a tree-structured skeleton model to represent an articulated object. We further derive a differentiable similarity function between G-SoG (the template) and SoG (observed data) that can be optimized analytically for efficient pose estimation. The experimental results on a standard human pose estimation dataset show the effectiveness and advantages of G-SoG over the original SoG as well as the promise compared with the recent algorithms that use more complicated shape models.
cs.CV
we present a novel parametric 3d shape representation generalized sum of gaussians gsog which is particularly suitable for pose estimation of articulated objects compared with the original sumofgaussians sog gsog can handle both isotropic and anisotropic gaussians leading to a more flexible and adaptable shape representation yet with much fewer anisotropic gaussians involved an articulated shape template can be developed by embedding gsog in a treestructured skeleton model to represent an articulated object we further derive a differentiable similarity function between gsog the template and sog observed data that can be optimized analytically for efficient pose estimation the experimental results on a standard human pose estimation dataset show the effectiveness and advantages of gsog over the original sog as well as the promise compared with the recent algorithms that use more complicated shape models
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1,803.01781
Two-dimensional topological superconductivity with antiferromagnetic insulators
Two-dimensional topological superconductivity has attracted great interest due to the emergence of Majorana modes bound to vortices and propagating along edges. However, due to its rare appearance in natural compounds, experimental realizations rely on a delicate artificial engineering involving materials with helical states, magnetic fields and conventional superconductors. Here we introduce an alternative path using a class of three-dimensional antiferromagnet to engineer a two- dimensional topological superconductor. Our proposal exploits the appearance of solitonic states at the interface between a topologically trivial antiferromagnet and a conventional superconductor, which realize a topological superconducting phase when their spectrum is gapped by intrinsic spin- orbit coupling. We show that these interfacial states do not require fine-tuning, but are protected by asymptotic boundary conditions.
cond-mat.mes-hall cond-mat.supr-con
twodimensional topological superconductivity has attracted great interest due to the emergence of majorana modes bound to vortices and propagating along edges however due to its rare appearance in natural compounds experimental realizations rely on a delicate artificial engineering involving materials with helical states magnetic fields and conventional superconductors here we introduce an alternative path using a class of threedimensional antiferromagnet to engineer a two dimensional topological superconductor our proposal exploits the appearance of solitonic states at the interface between a topologically trivial antiferromagnet and a conventional superconductor which realize a topological superconducting phase when their spectrum is gapped by intrinsic spin orbit coupling we show that these interfacial states do not require finetuning but are protected by asymptotic boundary conditions
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1,803.01782
Estimates for generalized sparse grid hierarchical basis preconditioners
We reconsider some estimates the paper "M. Griebel, P. Oswald, On additive Schwarz preconditioners for sparse grid discretizations. Numer. Math. 66 (1994), 449-463" concerning the hierarchical basis preconditioner for sparse grid discretizations. The improvement is in three directions: We consider arbitrary space dimensions d>1, give bounds for generalized sparse grid spaces with arbitrary monotone index set, and show that the bounds are sharp up to constants depending only on d, at least for a subclass of generalized sparse grid spaces containing full grid, standard sparse grid spaces, and energy-norm optimized sparse grid spaces.
math.NA
we reconsider some estimates the paper m griebel p oswald on additive schwarz preconditioners for sparse grid discretizations numer math 66 1994 449463 concerning the hierarchical basis preconditioner for sparse grid discretizations the improvement is in three directions we consider arbitrary space dimensions d1 give bounds for generalized sparse grid spaces with arbitrary monotone index set and show that the bounds are sharp up to constants depending only on d at least for a subclass of generalized sparse grid spaces containing full grid standard sparse grid spaces and energynorm optimized sparse grid spaces
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1,803.01783
Dynamic Competition Networks: detecting alliances and leaders
We consider social networks of competing agents that evolve dynamically over time. Such dynamic competition networks are directed, where a directed edge from nodes $u$ to $v$ corresponds a negative social interaction. We present a novel hypothesis that serves as a predictive tool to uncover alliances and leaders within dynamic competition networks. Our focus is in the present study is to validate it on competitive networks arising from social game shows such as Survivor and Big Brother.
cs.SI physics.soc-ph
we consider social networks of competing agents that evolve dynamically over time such dynamic competition networks are directed where a directed edge from nodes u to v corresponds a negative social interaction we present a novel hypothesis that serves as a predictive tool to uncover alliances and leaders within dynamic competition networks our focus is in the present study is to validate it on competitive networks arising from social game shows such as survivor and big brother
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1,803.01784
$\mathcal{N}{=}1$ dualities in 2+1 dimensions
We consider minimally supersymmetric QCD in 2+1 dimensions, with Chern-Simons and superpotential interactions. We propose an infrared $SU(N) \leftrightarrow U(k)$ duality involving gauge-singlet fields on one of the two sides. It shares qualitative features both with 3d bosonization and with 4d Seiberg duality. We provide a few consistency checks of the proposal, mapping the structure of vacua and performing perturbative computations in the $\varepsilon$-expansion.
hep-th cond-mat.str-el
we consider minimally supersymmetric qcd in 21 dimensions with chernsimons and superpotential interactions we propose an infrared sun leftrightarrow uk duality involving gaugesinglet fields on one of the two sides it shares qualitative features both with 3d bosonization and with 4d seiberg duality we provide a few consistency checks of the proposal mapping the structure of vacua and performing perturbative computations in the varepsilonexpansion
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1,803.01785
Differentiable Submodular Maximization
We consider learning of submodular functions from data. These functions are important in machine learning and have a wide range of applications, e.g. data summarization, feature selection and active learning. Despite their combinatorial nature, submodular functions can be maximized approximately with strong theoretical guarantees in polynomial time. Typically, learning the submodular function and optimization of that function are treated separately, i.e. the function is first learned using a proxy objective and subsequently maximized. In contrast, we show how to perform learning and optimization jointly. By interpreting the output of greedy maximization algorithms as distributions over sequences of items and smoothening these distributions, we obtain a differentiable objective. In this way, we can differentiate through the maximization algorithms and optimize the model to work well with the optimization algorithm. We theoretically characterize the error made by our approach, yielding insights into the tradeoff of smoothness and accuracy. We demonstrate the effectiveness of our approach for jointly learning and optimizing on synthetic maximum cut data, and on real world applications such as product recommendation and image collection summarization.
stat.ML cs.LG
we consider learning of submodular functions from data these functions are important in machine learning and have a wide range of applications eg data summarization feature selection and active learning despite their combinatorial nature submodular functions can be maximized approximately with strong theoretical guarantees in polynomial time typically learning the submodular function and optimization of that function are treated separately ie the function is first learned using a proxy objective and subsequently maximized in contrast we show how to perform learning and optimization jointly by interpreting the output of greedy maximization algorithms as distributions over sequences of items and smoothening these distributions we obtain a differentiable objective in this way we can differentiate through the maximization algorithms and optimize the model to work well with the optimization algorithm we theoretically characterize the error made by our approach yielding insights into the tradeoff of smoothness and accuracy we demonstrate the effectiveness of our approach for jointly learning and optimizing on synthetic maximum cut data and on real world applications such as product recommendation and image collection summarization
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1,803.01786
Complex correlations in high harmonic generation of matter-wave jets revealed by pattern recognition
Correlations in interacting many-body systems are key to the study of quantum materials and quantum information. More often than not, the complexity of the correlations grows quickly as the system evolves and thus presents a challenge for experimental characterization and intuitive understanding. In a strongly driven Bose-Einstein condensate, we observe the high harmonic generation of matter-wave jets with complex correlations as a result of bosonic stimulation. Based on a pattern recognition scheme, we identify a universal pattern of correlations which offers essential clues to unveiling the underlying secondary scattering processes and high-order correlations. We show that the pattern recognition offers a versatile strategy to visualize and analyze the quantum dynamics of a many-body system.
cond-mat.quant-gas
correlations in interacting manybody systems are key to the study of quantum materials and quantum information more often than not the complexity of the correlations grows quickly as the system evolves and thus presents a challenge for experimental characterization and intuitive understanding in a strongly driven boseeinstein condensate we observe the high harmonic generation of matterwave jets with complex correlations as a result of bosonic stimulation based on a pattern recognition scheme we identify a universal pattern of correlations which offers essential clues to unveiling the underlying secondary scattering processes and highorder correlations we show that the pattern recognition offers a versatile strategy to visualize and analyze the quantum dynamics of a manybody system
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1,803.01787
Impact of Fission Neutron Energies on Reactor Antineutrino Spectra
Recent measurements of reactor-produced antineutrino fluxes and energy spectra are inconsistent with models based on measured thermal fission beta spectra. In this paper, we examine the dependence of antineutrino production on fission neutron energy. In particular, the variation of fission product yields with neutron energy has been considered as a possible source of the discrepancies between antineutrino observations and models. In simulations of low-enriched and highly-enriched reactor core designs, we find a substantial fraction of fissions (from 5% to more than 40%) are caused by non-thermal neutrons. Using tabulated evaluations of nuclear fission and decay, we estimate the variation in antineutrino emission by the prominent fission parents U-235, Pu-239, and Pu-241 versus neutron energy. The differences in fission neutron energy are found to produce less than 1% variation in detected antineutrino rate per fission of U-235, Pu-239, and Pu-241. Corresponding variations in the antineutrino spectrum are found to be less than 10% below 7 MeV antineutrino energy, smaller than current model uncertainties. We conclude that insufficient modeling of fission neutron energy is unlikely to be the cause of the various reactor anomalies. Our results also suggest that comparisons of antineutrino measurements at low-enriched and highly-enriched reactors can safely neglect the differences in the distributions of their fission neutron energies.
nucl-th
recent measurements of reactorproduced antineutrino fluxes and energy spectra are inconsistent with models based on measured thermal fission beta spectra in this paper we examine the dependence of antineutrino production on fission neutron energy in particular the variation of fission product yields with neutron energy has been considered as a possible source of the discrepancies between antineutrino observations and models in simulations of lowenriched and highlyenriched reactor core designs we find a substantial fraction of fissions from 5 to more than 40 are caused by nonthermal neutrons using tabulated evaluations of nuclear fission and decay we estimate the variation in antineutrino emission by the prominent fission parents u235 pu239 and pu241 versus neutron energy the differences in fission neutron energy are found to produce less than 1 variation in detected antineutrino rate per fission of u235 pu239 and pu241 corresponding variations in the antineutrino spectrum are found to be less than 10 below 7 mev antineutrino energy smaller than current model uncertainties we conclude that insufficient modeling of fission neutron energy is unlikely to be the cause of the various reactor anomalies our results also suggest that comparisons of antineutrino measurements at lowenriched and highlyenriched reactors can safely neglect the differences in the distributions of their fission neutron energies
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1,803.01788
Data Sustainability and Reuse Pathways of Natural Resources and Environmental Scientists
This paper presents a multifarious examination of natural resources and environmental scientists' adventures navigating the policy change towards open access and cultural shift in data management, sharing, and reuse. Situated in the institutional context of Virginia Tech, a focus group and multiple individual interviews were conducted exploring the domain scientists' all-around experiences, performances, and perspectives on their collection, adoption, integration, preservation, and management of data. The results reveal the scientists' struggles, concerns, and barriers encountered, as well as their shared values, beliefs, passions, and aspirations when working with data. Based on these findings, this study provides suggestions on data modeling and knowledge representation strategies to support the long-term viability, stewardship, accessibility, and sustainability of scientific data. It also discusses the art of curation as creative scholarship and new opportunities for data librarians and information professionals to mobilize the data revolution.
cs.DL
this paper presents a multifarious examination of natural resources and environmental scientists adventures navigating the policy change towards open access and cultural shift in data management sharing and reuse situated in the institutional context of virginia tech a focus group and multiple individual interviews were conducted exploring the domain scientists allaround experiences performances and perspectives on their collection adoption integration preservation and management of data the results reveal the scientists struggles concerns and barriers encountered as well as their shared values beliefs passions and aspirations when working with data based on these findings this study provides suggestions on data modeling and knowledge representation strategies to support the longterm viability stewardship accessibility and sustainability of scientific data it also discusses the art of curation as creative scholarship and new opportunities for data librarians and information professionals to mobilize the data revolution
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1,803.01789
Simulation study of ballistic spin-MOSFET devices with ferromagnetic channels based on some Heusler and oxide compounds
Newly emerged materials from the family of Heuslers and complex oxides exhibit finite bandgaps and ferromagnetic behavior with Curie temperatures much higher than even room temperature. In this work, using the semiclassical top-of-the-barrier FET model, we explore the operation of a spin-MOSFET that utilizes such ferromagnetic semiconductors as channel materials, in addition to ferromagnetic source/drain contacts. Such a device could retain the spin polarization of injected electrons in the channel, the loss of which limits the operation of traditional spin transistors with non-ferromagnetic channels. We examine the operation of four material systems that are currently considered some of the most prominent known ferromagnetic semiconductors, three Heusler-type alloys (Mn2CoAl, CrVZrAl, CoVZrAl) and one from the oxide family (NiFe2O4). We describe their bandstructures by using data from DFT calculations. We investigate under which conditions high spin polarization and significant ION/IOFF ratio, two essential requirements for the spin-MOSFET operation, are both achieved. We show that these particular Heusler channels, in their bulk form, do not have adequate bandgap to provide high ION/IOFF ratios, and have small magnetoconductance compared to state-of-the-art devices. However, with confinement into ultra-narrow sizes down to a few nanometers, and by engineering their spin dependent contact resistances, they could prove promising channel materials for the realization of spin-MOSFET transistor devices that offer combined logic and memory functionalities. Although the main compounds of interest in this paper are Mn2CoAl, CrVZrAl, CoVZrAl, and NiFe2O4 alone, we expect that the insight we provide is relevant to other classes of such materials as well.
physics.app-ph cond-mat.mes-hall
newly emerged materials from the family of heuslers and complex oxides exhibit finite bandgaps and ferromagnetic behavior with curie temperatures much higher than even room temperature in this work using the semiclassical topofthebarrier fet model we explore the operation of a spinmosfet that utilizes such ferromagnetic semiconductors as channel materials in addition to ferromagnetic sourcedrain contacts such a device could retain the spin polarization of injected electrons in the channel the loss of which limits the operation of traditional spin transistors with nonferromagnetic channels we examine the operation of four material systems that are currently considered some of the most prominent known ferromagnetic semiconductors three heuslertype alloys mn2coal crvzral covzral and one from the oxide family nife2o4 we describe their bandstructures by using data from dft calculations we investigate under which conditions high spin polarization and significant ionioff ratio two essential requirements for the spinmosfet operation are both achieved we show that these particular heusler channels in their bulk form do not have adequate bandgap to provide high ionioff ratios and have small magnetoconductance compared to stateoftheart devices however with confinement into ultranarrow sizes down to a few nanometers and by engineering their spin dependent contact resistances they could prove promising channel materials for the realization of spinmosfet transistor devices that offer combined logic and memory functionalities although the main compounds of interest in this paper are mn2coal crvzral covzral and nife2o4 alone we expect that the insight we provide is relevant to other classes of such materials as well
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1,803.0179
A Multiscale Theory for Image Registration and Nonlinear Inverse Problems
In an influential paper, Tadmor, Nezzar and Vese (Multiscale Model. Simul. (2004)) introduced a hierarchical decomposition of an image as a sum of constituents of different scales. Here we construct analogous hierarchical expansions for diffeomorphisms, in the context of image registration, with the sum replaced by composition of maps. We treat this as a special case of a general framework for multiscale decompositions, applicable to a wide range of imaging and nonlinear inverse problems. As a paradigmatic example of the latter, we consider the Calder\'on inverse conductivity problem. We prove that we can simultaneously perform a numerical reconstruction and a multiscale decomposition of the unknown conductivity, driven by the inverse problem itself. We provide novel convergence proofs which work in the general abstract settings, yet are sharp enough to settle an open problem on the hierarchical decompostion of Tadmor, Nezzar and Vese for arbitrary functions in $L^2$. We also give counterexamples that show the optimality of our general results.
math.AP
in an influential paper tadmor nezzar and vese multiscale model simul 2004 introduced a hierarchical decomposition of an image as a sum of constituents of different scales here we construct analogous hierarchical expansions for diffeomorphisms in the context of image registration with the sum replaced by composition of maps we treat this as a special case of a general framework for multiscale decompositions applicable to a wide range of imaging and nonlinear inverse problems as a paradigmatic example of the latter we consider the calderon inverse conductivity problem we prove that we can simultaneously perform a numerical reconstruction and a multiscale decomposition of the unknown conductivity driven by the inverse problem itself we provide novel convergence proofs which work in the general abstract settings yet are sharp enough to settle an open problem on the hierarchical decompostion of tadmor nezzar and vese for arbitrary functions in l2 we also give counterexamples that show the optimality of our general results
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1,803.01791
On the velocity of turbidity currents over moderate slopes
In the present article we consider the problem of underwater avalanches propagating over moderate slopes. The main goal of our work is to investigate the avalanche front velocity selection mechanism when it propagates downwards. In particular, we show that the front velocity does not depend univocally on the mass of sediments. This phenomenon is investigated and explained in our study. Moreover, we derive from the first principles a depth-averaged model. Then, we assume that sediments are uniformly distributed along the slope. In this case, they can be entrained into the flow head and a self-sustained regime can be established. One of the main findings of our study is that the avalanche front velocity is not unique due to a hysteresis phenomenon. We attempt to explain this phenomenon using dynamical systems considerations.
physics.flu-dyn nlin.PS physics.comp-ph
in the present article we consider the problem of underwater avalanches propagating over moderate slopes the main goal of our work is to investigate the avalanche front velocity selection mechanism when it propagates downwards in particular we show that the front velocity does not depend univocally on the mass of sediments this phenomenon is investigated and explained in our study moreover we derive from the first principles a depthaveraged model then we assume that sediments are uniformly distributed along the slope in this case they can be entrained into the flow head and a selfsustained regime can be established one of the main findings of our study is that the avalanche front velocity is not unique due to a hysteresis phenomenon we attempt to explain this phenomenon using dynamical systems considerations
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1,803.01792
Multiagent Learning for Competitive Opinion Optimization
From a perspective of designing or engineering for opinion formation games in social networks, the "opinion maximization (or minimization)" problem has been studied mainly for designing subset selecting algorithms. We define a two-player zero-sum Stackelberg game of competitive opinion optimization by letting the player under study as the leader minimize the sum of expressed opinions by doing so-called "internal opinion design", knowing that the other adversarial player as the follower is to maximize the same objective by also conducting her own internal opinion design. We furthermore consider multiagent learning, specifically using the Optimistic Gradient Descent Ascent, and analyze its convergence to equilibria in the simultaneous version of competitive opinion optimization.
cs.GT
from a perspective of designing or engineering for opinion formation games in social networks the opinion maximization or minimization problem has been studied mainly for designing subset selecting algorithms we define a twoplayer zerosum stackelberg game of competitive opinion optimization by letting the player under study as the leader minimize the sum of expressed opinions by doing socalled internal opinion design knowing that the other adversarial player as the follower is to maximize the same objective by also conducting her own internal opinion design we furthermore consider multiagent learning specifically using the optimistic gradient descent ascent and analyze its convergence to equilibria in the simultaneous version of competitive opinion optimization
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1,803.01793
Hidden drifts in turbulence
The paper defines and discusses the concept of hidden drifts in two-dimensional turbulence. These are ordered components of the trajectories that average to zero and do not produce direct transport. Their effects appear in the evolution of the turbulence as a special type of fluxes, which consist of average motion of positive and negative fluctuations in opposite directions. We show that these fluxes have important nonlinear effects in turbulent fluids and in confined plasmas. In the first case, they determine the increase of the large scale vorticity and velocity at the expense of the small scale fluctuations by a process of separation of the vorticity fluctuations according to their sign. In the second case, they provide a mechanism for zonal flow generation and a vorticity flux that influences the sheared rotation of the plasma.
physics.plasm-ph physics.flu-dyn
the paper defines and discusses the concept of hidden drifts in twodimensional turbulence these are ordered components of the trajectories that average to zero and do not produce direct transport their effects appear in the evolution of the turbulence as a special type of fluxes which consist of average motion of positive and negative fluctuations in opposite directions we show that these fluxes have important nonlinear effects in turbulent fluids and in confined plasmas in the first case they determine the increase of the large scale vorticity and velocity at the expense of the small scale fluctuations by a process of separation of the vorticity fluctuations according to their sign in the second case they provide a mechanism for zonal flow generation and a vorticity flux that influences the sheared rotation of the plasma
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1,803.01794
Particle acceleration by supernova shocks and spallogenic nucleosynthesis of light elements
In this review, we first reassess the supernova remnant paradigm for the origin of galactic cosmic rays in the light of recent cosmic-ray data acquired by the Voyager 1 spacecraft. We then describe the theory of light element nucleosynthesis by nuclear interaction of cosmic rays with the interstellar medium and outline the problem of explaining the measured Be abundances in old halo stars of low metallicity with the standard model for the galactic cosmic ray origin. We then discuss the various cosmic ray models proposed in the literature to account for the measured evolution of the light elements in the Milky Way, and point out the difficulties that they all encounter. Amongst all possibilities, it seems to us that the superbubble model provides the most satisfactory explanation for these observations.
astro-ph.HE
in this review we first reassess the supernova remnant paradigm for the origin of galactic cosmic rays in the light of recent cosmicray data acquired by the voyager 1 spacecraft we then describe the theory of light element nucleosynthesis by nuclear interaction of cosmic rays with the interstellar medium and outline the problem of explaining the measured be abundances in old halo stars of low metallicity with the standard model for the galactic cosmic ray origin we then discuss the various cosmic ray models proposed in the literature to account for the measured evolution of the light elements in the milky way and point out the difficulties that they all encounter amongst all possibilities it seems to us that the superbubble model provides the most satisfactory explanation for these observations
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1,803.01795
Workload Equity in Vehicle Routing: The Impact of Alternative Workload Resources
In practical vehicle routing problems (VRPs), important non-monetary benefits can be achieved with more balanced operational plans which explicitly consider workload equity. This has motivated practitioners to include a wide variety of balancing criteria in decision support systems, and researchers to examine the properties of these criteria and the trade-offs made when optimizing them. As a result, previous studies have provided a much-needed understanding of how different equity functions affect the resulting VRP solutions. However, by focusing exclusively on models which balance tour lengths, a critical aspect has thus far remained unexplored -- namely the impact of the workload resource subject to the balancing. In this work, we generalize previous studies to different workload resources, extend the scope of those analyses to additional aspects of managerial and methodological significance, and reevaluate accordingly previous conclusions and guidelines for formulating a balance criterion. We propose a classification of workload resources and equity functions, and establish which general types of balanced VRP models can lead to unintended optimization outcomes. To explore in greater detail the differences between models satisfying the given guidelines, we conduct an extensive numerical study of 18 alternative balance criteria. We base our observations not only on smaller instances solved to optimality, but also on larger instances solved heuristically, to gauge the extent to which our conclusions hold also for larger VRPs. Overall, our study counter-balances the focus of previous works and reveals the importance of selecting the right workload resource.
math.OC
in practical vehicle routing problems vrps important nonmonetary benefits can be achieved with more balanced operational plans which explicitly consider workload equity this has motivated practitioners to include a wide variety of balancing criteria in decision support systems and researchers to examine the properties of these criteria and the tradeoffs made when optimizing them as a result previous studies have provided a muchneeded understanding of how different equity functions affect the resulting vrp solutions however by focusing exclusively on models which balance tour lengths a critical aspect has thus far remained unexplored namely the impact of the workload resource subject to the balancing in this work we generalize previous studies to different workload resources extend the scope of those analyses to additional aspects of managerial and methodological significance and reevaluate accordingly previous conclusions and guidelines for formulating a balance criterion we propose a classification of workload resources and equity functions and establish which general types of balanced vrp models can lead to unintended optimization outcomes to explore in greater detail the differences between models satisfying the given guidelines we conduct an extensive numerical study of 18 alternative balance criteria we base our observations not only on smaller instances solved to optimality but also on larger instances solved heuristically to gauge the extent to which our conclusions hold also for larger vrps overall our study counterbalances the focus of previous works and reveals the importance of selecting the right workload resource
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1,803.01796
Determining the effects of clumping and porosity on the chemistry in a non-uniform AGB outflow
(abridged) In the inner regions of AGB outflows, several molecules have been detected with abundances much higher than those predicted from thermodynamic equilibrium (TE) chemical models. The presence of the majority of these species can be explained by shock-induced non-TE chemical models, where shocks caused by the pulsating star take the chemistry out of TE in the inner region. Moreover, a non-uniform density structure has been detected in several AGB outflows. A detailed parameter study on the quantitative effects of a non-homogeneous outflow has so far not been performed. We implement a porosity formalism for treating the increased leakage of light associated with radiation transport through a clumpy, porous medium. The effects from the altered UV radiation field penetration on the chemistry, accounting also for the increased reaction rates of two-body processes in the overdense clumps, are examined. We present a parameter study of the effect of clumping and porosity on the chemistry throughout the outflow. Both the higher density within the clumps and the increased UV radiation field penetration have an important impact on the chemistry, as they both alter the chemical pathways. The increased amount of UV radiation in the inner region leads to photodissociation of parent species, releasing the otherwise deficient elements. We find an increased abundance in the inner region of all species not expected to be present assuming TE chemistry, such as HCN in O-rich outflows, H$_2$O in C-rich outflows, and NH$_3$ in both. Outflows whose clumps have a large overdensity and that are very porous to the interstellar UV radiation field yield abundances comparable to those observed in O- and C-rich outflows for most of the unexpected species investigated. The inner wind abundances of H$_2$O in C-rich outflows and of NH$_3$ in O- and C-rich outflows are however underpredicted.
astro-ph.SR astro-ph.GA
abridged in the inner regions of agb outflows several molecules have been detected with abundances much higher than those predicted from thermodynamic equilibrium te chemical models the presence of the majority of these species can be explained by shockinduced nonte chemical models where shocks caused by the pulsating star take the chemistry out of te in the inner region moreover a nonuniform density structure has been detected in several agb outflows a detailed parameter study on the quantitative effects of a nonhomogeneous outflow has so far not been performed we implement a porosity formalism for treating the increased leakage of light associated with radiation transport through a clumpy porous medium the effects from the altered uv radiation field penetration on the chemistry accounting also for the increased reaction rates of twobody processes in the overdense clumps are examined we present a parameter study of the effect of clumping and porosity on the chemistry throughout the outflow both the higher density within the clumps and the increased uv radiation field penetration have an important impact on the chemistry as they both alter the chemical pathways the increased amount of uv radiation in the inner region leads to photodissociation of parent species releasing the otherwise deficient elements we find an increased abundance in the inner region of all species not expected to be present assuming te chemistry such as hcn in orich outflows h_2o in crich outflows and nh_3 in both outflows whose clumps have a large overdensity and that are very porous to the interstellar uv radiation field yield abundances comparable to those observed in o and crich outflows for most of the unexpected species investigated the inner wind abundances of h_2o in crich outflows and of nh_3 in o and crich outflows are however underpredicted
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1,803.01797
Principles and symmetries of complexity in quantum field theory
Based on general and minimal properties of the {\it discrete} circuit complexity, we define the complexity in {\it continuous} systems in a geometrical way. We first show that the Finsler metric naturally emerges in the geometry of the complexity in continuous systems. Due to fundamental symmetries of quantum field theories, the Finsler metric is more constrained and consequently, the complexity of SU($n$) operators is uniquely determined as a length of a geodesic in the Finsler geometry. Our Finsler metric is bi-invariant contrary to the right-invariance of discrete qubit systems. We clarify why the bi-invariance is relevant in quantum field theoretic systems. After comparing our results with discrete qubit systems we show most results in $k$-local right-invariant metric can also appear in our framework. Based on the bi-invariance of our formalism, we propose a new interpretation for the Schr\"{o}dinger's equation in isolated systems - the quantum state evolves by the process of minimizing "computational cost."
hep-th quant-ph
based on general and minimal properties of the it discrete circuit complexity we define the complexity in it continuous systems in a geometrical way we first show that the finsler metric naturally emerges in the geometry of the complexity in continuous systems due to fundamental symmetries of quantum field theories the finsler metric is more constrained and consequently the complexity of sun operators is uniquely determined as a length of a geodesic in the finsler geometry our finsler metric is biinvariant contrary to the rightinvariance of discrete qubit systems we clarify why the biinvariance is relevant in quantum field theoretic systems after comparing our results with discrete qubit systems we show most results in klocal rightinvariant metric can also appear in our framework based on the biinvariance of our formalism we propose a new interpretation for the schrodingers equation in isolated systems the quantum state evolves by the process of minimizing computational cost
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1,803.01798
One-Class Adversarial Nets for Fraud Detection
Many online applications, such as online social networks or knowledge bases, are often attacked by malicious users who commit different types of actions such as vandalism on Wikipedia or fraudulent reviews on eBay. Currently, most of the fraud detection approaches require a training dataset that contains records of both benign and malicious users. However, in practice, there are often no or very few records of malicious users. In this paper, we develop one-class adversarial nets (OCAN) for fraud detection using training data with only benign users. OCAN first uses LSTM-Autoencoder to learn the representations of benign users from their sequences of online activities. It then detects malicious users by training a discriminator with a complementary GAN model that is different from the regular GAN model. Experimental results show that our OCAN outperforms the state-of-the-art one-class classification models and achieves comparable performance with the latest multi-source LSTM model that requires both benign and malicious users in the training phase.
cs.LG cs.AI cs.CR
many online applications such as online social networks or knowledge bases are often attacked by malicious users who commit different types of actions such as vandalism on wikipedia or fraudulent reviews on ebay currently most of the fraud detection approaches require a training dataset that contains records of both benign and malicious users however in practice there are often no or very few records of malicious users in this paper we develop oneclass adversarial nets ocan for fraud detection using training data with only benign users ocan first uses lstmautoencoder to learn the representations of benign users from their sequences of online activities it then detects malicious users by training a discriminator with a complementary gan model that is different from the regular gan model experimental results show that our ocan outperforms the stateoftheart oneclass classification models and achieves comparable performance with the latest multisource lstm model that requires both benign and malicious users in the training phase
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1,803.01799
Stochastic vorticity equation in $\mathbb R^2$ with not regular noise
We consider the Navier-Stokes equations in vorticity form in $\mathbb{R}^2$ with a white noise forcing term of multiplicative type, whose spatial covariance is not regular enough to apply the It\^o calculus in $L^q$ spaces, $1<q<\infty$. We prove the existence of a unique strong (in the probability sense) solution.
math.PR
we consider the navierstokes equations in vorticity form in mathbbr2 with a white noise forcing term of multiplicative type whose spatial covariance is not regular enough to apply the ito calculus in lq spaces 1qinfty we prove the existence of a unique strong in the probability sense solution
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1,803.018
Temperature-Dependent In-Situ LEIS Measurement of W Surface Enrichment by 250 eV D Sputtering of EUROFER
Tungsten surface enrichment of EUROFER steel by 250 eV deuterium sputtering is in-situ measured using low energy He$^{+}$ ion scattering spectroscopy. The samples are irradiated at various temperatures between 300 K and 800 K with a deuterium atom flux of 2e18 m$^{-2}$s$^{-1}$ and maximum fluence up to 1.1e23 m$^{-2}$. The measurements at room temperature show a clear increase of tungsten surface density, but already at 520 K the observed enrichment is only half as large. At a temperature of 800 K no tungsten surface enrichment is detectable. The obtained data allows to determine an upper limit of 1.6 eV for the diffusion activation energy of tungsten in EUROFER.
cond-mat.mtrl-sci
tungsten surface enrichment of eurofer steel by 250 ev deuterium sputtering is insitu measured using low energy he ion scattering spectroscopy the samples are irradiated at various temperatures between 300 k and 800 k with a deuterium atom flux of 2e18 m2s1 and maximum fluence up to 11e23 m2 the measurements at room temperature show a clear increase of tungsten surface density but already at 520 k the observed enrichment is only half as large at a temperature of 800 k no tungsten surface enrichment is detectable the obtained data allows to determine an upper limit of 16 ev for the diffusion activation energy of tungsten in eurofer
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1,803.01801
Fast Implementation of a Bayesian Unsupervised Segmentation Algorithm
In a recent paper, we have proposed an unsupervised algorithm for audio signal segmentation entirely based on Bayesian methods. In its first implementation, however, the method showed poor computational performance. In this paper we address this question by describing a fast parallel implementation using the Cython library for Python; we use open GSL methods for standard mathematical functions, and the OpenMP framework for parallelization. We also offer a detailed analysis on the sensibility of the algorithm to its different parameters, and show its application to real-life subacquatic signals obtained off the brazilian South coast. Our code and data are available freely on github.
stat.CO
in a recent paper we have proposed an unsupervised algorithm for audio signal segmentation entirely based on bayesian methods in its first implementation however the method showed poor computational performance in this paper we address this question by describing a fast parallel implementation using the cython library for python we use open gsl methods for standard mathematical functions and the openmp framework for parallelization we also offer a detailed analysis on the sensibility of the algorithm to its different parameters and show its application to reallife subacquatic signals obtained off the brazilian south coast our code and data are available freely on github
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1,803.01802
Event-triggered Learning for Resource-efficient Networked Control
Common event-triggered state estimation (ETSE) algorithms save communication in networked control systems by predicting agents' behavior, and transmitting updates only when the predictions deviate significantly. The effectiveness in reducing communication thus heavily depends on the quality of the dynamics models used to predict the agents' states or measurements. Event-triggered learning is proposed herein as a novel concept to further reduce communication: whenever poor communication performance is detected, an identification experiment is triggered and an improved prediction model learned from data. Effective learning triggers are obtained by comparing the actual communication rate with the one that is expected based on the current model. By analyzing statistical properties of the inter-communication times and leveraging powerful convergence results, the proposed trigger is proven to limit learning experiments to the necessary instants. Numerical and physical experiments demonstrate that event-triggered learning improves robustness toward changing environments and yields lower communication rates than common ETSE.
cs.SY stat.ML
common eventtriggered state estimation etse algorithms save communication in networked control systems by predicting agents behavior and transmitting updates only when the predictions deviate significantly the effectiveness in reducing communication thus heavily depends on the quality of the dynamics models used to predict the agents states or measurements eventtriggered learning is proposed herein as a novel concept to further reduce communication whenever poor communication performance is detected an identification experiment is triggered and an improved prediction model learned from data effective learning triggers are obtained by comparing the actual communication rate with the one that is expected based on the current model by analyzing statistical properties of the intercommunication times and leveraging powerful convergence results the proposed trigger is proven to limit learning experiments to the necessary instants numerical and physical experiments demonstrate that eventtriggered learning improves robustness toward changing environments and yields lower communication rates than common etse
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1,803.01803
Formation of a spin texture in a quantum gas coupled to a cavity
We observe cavity mediated spin-dependent interactions in an off-resonantly driven multi-level atomic Bose-Einstein condensate that is strongly coupled to an optical cavity. Applying a driving field with adjustable polarization, we identify the roles of the scalar and the vectorial components of the atomic polarizability tensor for single and multi-component condensates. Beyond a critical strength of the vectorial coupling, we observe a spin texture in a condensate of two internal states, providing perspectives for global dynamic gauge fields and self-consistently spin-orbit coupled gases.
cond-mat.quant-gas
we observe cavity mediated spindependent interactions in an offresonantly driven multilevel atomic boseeinstein condensate that is strongly coupled to an optical cavity applying a driving field with adjustable polarization we identify the roles of the scalar and the vectorial components of the atomic polarizability tensor for single and multicomponent condensates beyond a critical strength of the vectorial coupling we observe a spin texture in a condensate of two internal states providing perspectives for global dynamic gauge fields and selfconsistently spinorbit coupled gases
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1,803.01804
Synthetic spectra and the cellular motivic category
To an Adams-type homology theory we associate a notion of a synthetic spectrum, this is a product-preserving sheaf on the site of finite spectra with projective $E$-homology. We prove that the $\infty$-category $Syn_{E}$ of synthetic spectra based on $E$ is in a precise sense a deformation of the $\infty$-category of spectra into quasi-coherent sheaves over a certain algebraic stack, and show that this deformation encodes the $E$-based Adams spectral sequence. We describe a symmetric monoidal functor from cellular motivic spectra over the complex numbers into an even variant of synthetic spectra based on $MU$ and show that it induces an equivalence between the $\infty$-categories of $p$-complete objects for all primes $p$. In particular, it follows that the $p$-complete cellular motivic category can be described purely in terms of chromatic homotopy theory.
math.AT math.AG
to an adamstype homology theory we associate a notion of a synthetic spectrum this is a productpreserving sheaf on the site of finite spectra with projective ehomology we prove that the inftycategory syn_e of synthetic spectra based on e is in a precise sense a deformation of the inftycategory of spectra into quasicoherent sheaves over a certain algebraic stack and show that this deformation encodes the ebased adams spectral sequence we describe a symmetric monoidal functor from cellular motivic spectra over the complex numbers into an even variant of synthetic spectra based on mu and show that it induces an equivalence between the inftycategories of pcomplete objects for all primes p in particular it follows that the pcomplete cellular motivic category can be described purely in terms of chromatic homotopy theory
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1,803.01805
Model Reduction for a Pulsed Detonation Combuster via Shifted Proper Orthogonal Decomposition
We propose a new algorithm to compute a shifted proper orthogonal decomposition (sPOD) for systems dominated by multiple transport velocities. The sPOD is a recently proposed mode decomposition technique which overcomes the poor performance of classical methods like the proper orthogonal decomposition (POD) for transport-dominated phenomena. This is achieved by identifying the transport directions and velocities and by shifting the modes in space to track the transports. Our new algorithm carries out a residual minimization in which the main computational cost arises from solving a nonlinear optimization problem scaling with the snapshot dimension. We apply the algorithm to snapshot data from the simulation of a pulsed detonation combuster and observe that very few sPOD modes are sufficient to obtain a good approximation. For the same accuracy, the common POD needs ten times as many modes and, in contrast to the sPOD modes, the POD modes do not reflect the moving front profiles properly.
math.NA
we propose a new algorithm to compute a shifted proper orthogonal decomposition spod for systems dominated by multiple transport velocities the spod is a recently proposed mode decomposition technique which overcomes the poor performance of classical methods like the proper orthogonal decomposition pod for transportdominated phenomena this is achieved by identifying the transport directions and velocities and by shifting the modes in space to track the transports our new algorithm carries out a residual minimization in which the main computational cost arises from solving a nonlinear optimization problem scaling with the snapshot dimension we apply the algorithm to snapshot data from the simulation of a pulsed detonation combuster and observe that very few spod modes are sufficient to obtain a good approximation for the same accuracy the common pod needs ten times as many modes and in contrast to the spod modes the pod modes do not reflect the moving front profiles properly
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1,803.01806
Hamiltonian distributed chaos in long-term solar activity
It is shown that the long-term solar activity (represented by the dynamically covered monthly time series of the sunspot number for period 1750-2005yy) exhibits spectral properties of the Hamiltonian distributed chaos with spontaneously broken time translational symmetry.
astro-ph.SR
it is shown that the longterm solar activity represented by the dynamically covered monthly time series of the sunspot number for period 17502005yy exhibits spectral properties of the hamiltonian distributed chaos with spontaneously broken time translational symmetry
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1,803.01807
Burgeoning Data Repository Systems, Characteristics and Development Strategies: Insights of Natural Resources and Environmental Scientists
Nowadays, we have the emergence and abundance of many different data repositories and archival systems for scientific data discovery, use, and analysis. With the burgeoning data sharing platforms available, this study addresses how natural resources and environmental scientists navigate these diverse data sources, what their concerns and value propositions are towards multiple data discovery channels, and most importantly, how they perceive the characteristics and compare the functionalities of different types of data repository systems. Through a user community research of domain scientists on their data use dynamics and insights, this research provides strategies and discusses ideas on how to leverage these different platforms. Further, it proposes a top-down, novel approach to search, browsing, and visualization for dynamic exploration of environmental data.
cs.DL
nowadays we have the emergence and abundance of many different data repositories and archival systems for scientific data discovery use and analysis with the burgeoning data sharing platforms available this study addresses how natural resources and environmental scientists navigate these diverse data sources what their concerns and value propositions are towards multiple data discovery channels and most importantly how they perceive the characteristics and compare the functionalities of different types of data repository systems through a user community research of domain scientists on their data use dynamics and insights this research provides strategies and discusses ideas on how to leverage these different platforms further it proposes a topdown novel approach to search browsing and visualization for dynamic exploration of environmental data
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1,803.01808
Chemical Abundances of new member stars in the Tucana II dwarf galaxy
We present chemical abundance measurements for seven stars with metallicities ranging from [Fe/H] = $-$3.3 to [Fe/H] = $-$2.4 in the Tucana II ultra-faint dwarf galaxy (UFD), based on high-resolution spectra obtained with the MIKE spectrograph on the 6.5 m Magellan-Clay Telescope. For three stars, we present detailed chemical abundances for the first time. Of those, two stars are newly discovered members of Tucana II and were selected as probable members from deep narrow band photometry of the Tucana II UFD taken with the SkyMapper telescope. This result demonstrates the potential for photometrically identifying members of dwarf galaxy systems based on chemical composition. One new star was selected from the membership catalog of Walker et al. (2016). The other four stars in our sample have been re-analyzed, following additional observations. Overall, six stars have chemical abundances that are characteristic of the UFD stellar population. The seventh star shows chemical abundances that are discrepant from the other Tucana II members and an atypical, higher strontium abundance than what is expected for typical UFD stars. While unlikely, its strontium abundance raises the possibility that it may be a foreground metal-poor halo star with the same systemic velocity as Tucana II. If we were to exclude this star, Tucana II would satisfy the criteria to be a surviving first galaxy. Otherwise, this star implies that Tucana II has likely experienced somewhat extended chemical evolution.
astro-ph.GA
we present chemical abundance measurements for seven stars with metallicities ranging from feh 33 to feh 24 in the tucana ii ultrafaint dwarf galaxy ufd based on highresolution spectra obtained with the mike spectrograph on the 65 m magellanclay telescope for three stars we present detailed chemical abundances for the first time of those two stars are newly discovered members of tucana ii and were selected as probable members from deep narrow band photometry of the tucana ii ufd taken with the skymapper telescope this result demonstrates the potential for photometrically identifying members of dwarf galaxy systems based on chemical composition one new star was selected from the membership catalog of walker et al 2016 the other four stars in our sample have been reanalyzed following additional observations overall six stars have chemical abundances that are characteristic of the ufd stellar population the seventh star shows chemical abundances that are discrepant from the other tucana ii members and an atypical higher strontium abundance than what is expected for typical ufd stars while unlikely its strontium abundance raises the possibility that it may be a foreground metalpoor halo star with the same systemic velocity as tucana ii if we were to exclude this star tucana ii would satisfy the criteria to be a surviving first galaxy otherwise this star implies that tucana ii has likely experienced somewhat extended chemical evolution
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1,803.01809
Improved predictions for magnetic moments and M1 decay widths of heavy hadrons
In the framework of an extended bag model the magnetic moments, M1 transition moments, and decay widths of all ground-state heavy hadrons are calculated. For the heavy baryons containing three quarks of different flavors the effect of hyperfine mixing of the states is taken into account. The additional care is taken to get more accurate theoretical estimates for the mass splittings of heavy hadrons. The use of such improved values enables one to provide more accurate predictions for the decay widths. These values of the hyperfine splittings between baryons may be also useful for the further experimental searches of new heavy hadrons. For instance, we predict $M(\Xi_{cc}^{*})=3695\pm5$ MeV. The agreement of our results for the M1 decay rates with available experimental data is good. We also present a wide comparison of the predictions obtained in our work with the results obtained using various other approaches.
hep-ph
in the framework of an extended bag model the magnetic moments m1 transition moments and decay widths of all groundstate heavy hadrons are calculated for the heavy baryons containing three quarks of different flavors the effect of hyperfine mixing of the states is taken into account the additional care is taken to get more accurate theoretical estimates for the mass splittings of heavy hadrons the use of such improved values enables one to provide more accurate predictions for the decay widths these values of the hyperfine splittings between baryons may be also useful for the further experimental searches of new heavy hadrons for instance we predict mxi_cc3695pm5 mev the agreement of our results for the m1 decay rates with available experimental data is good we also present a wide comparison of the predictions obtained in our work with the results obtained using various other approaches
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1,803.0181
(3+1)-dimensional anisotropic fluid dynamics with a lattice QCD equation of state
Anisotropic hydrodynamics improves upon standard dissipative fluid dynamics by treating certain large dissipative corrections non-perturbatively. Relativistic heavy-ion collisions feature two such large dissipative effects: (i) Strongly anisotropic expansion generates a large shear stress component which manifests itself in very different longitudinal and transverse pressures, especially at early times. (ii) Critical fluctuations near the quark-hadron phase transition lead to a large bulk viscous pressure on the conversion surface between hydrodynamics and a microscopic hadronic cascade description of the final collision stage. We present a new dissipative hydrodynamic formulation for non-conformal fluids where both of these effects are treated nonperturbatively. The evolution equations are derived from the Boltzmann equation in the 14-moment approximation, using an expansion around an anisotropic leading-order distribution function with two momentum-space deformation parameters, accounting for the longitudinal and transverse pressures. To obtain their evolution we impose generalized Landau matching conditions for the longitudinal and transverse pressures. We describe an approximate anisotropic equation of state that relates the anisotropy parameters with the macroscopic pressures. Residual shear stresses are smaller and are treated perturbatively, as in standard second-order dissipative fluid dynamics. The resulting optimized viscous anisotropic hydrodynamic evolution equations are derived in 3+1 dimensions and tested in a (0+1)-dimensional Bjorken expansion, using a state-of-the-art lattice equation of state. Comparisons with other viscous hydrodynamical frameworks are presented.
nucl-th hep-ph
anisotropic hydrodynamics improves upon standard dissipative fluid dynamics by treating certain large dissipative corrections nonperturbatively relativistic heavyion collisions feature two such large dissipative effects i strongly anisotropic expansion generates a large shear stress component which manifests itself in very different longitudinal and transverse pressures especially at early times ii critical fluctuations near the quarkhadron phase transition lead to a large bulk viscous pressure on the conversion surface between hydrodynamics and a microscopic hadronic cascade description of the final collision stage we present a new dissipative hydrodynamic formulation for nonconformal fluids where both of these effects are treated nonperturbatively the evolution equations are derived from the boltzmann equation in the 14moment approximation using an expansion around an anisotropic leadingorder distribution function with two momentumspace deformation parameters accounting for the longitudinal and transverse pressures to obtain their evolution we impose generalized landau matching conditions for the longitudinal and transverse pressures we describe an approximate anisotropic equation of state that relates the anisotropy parameters with the macroscopic pressures residual shear stresses are smaller and are treated perturbatively as in standard secondorder dissipative fluid dynamics the resulting optimized viscous anisotropic hydrodynamic evolution equations are derived in 31 dimensions and tested in a 01dimensional bjorken expansion using a stateoftheart lattice equation of state comparisons with other viscous hydrodynamical frameworks are presented
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1,803.01811
Impact of valley phase and splitting on readout of silicon spin qubits
We investigate the effect of the valley degree of freedom on Pauli-spin blockade readout of spin qubits in silicon. The valley splitting energy sets the singlet-triplet splitting and thereby constrains the detuning range. The valley phase difference controls the relative strength of the intra- and inter-valley tunnel couplings, which, in the proposed Pauli-spin blockade readout scheme, couple singlets and polarized triplets, respectively. We find that high-fidelity readout is possible for a wide range of phase differences, while taking into account experimentally observed valley splittings and tunnel couplings. We also show that the control of the valley splitting together with the optimization of the readout detuning can compensate the effect of the valley phase difference. To increase the measurement fidelity and extend the relaxation time we propose a latching protocol that requires a triple quantum dot and exploits weak long-range tunnel coupling. These opportunities are promising for scaling spin qubit systems and improving qubit readout fidelity
cond-mat.mes-hall
we investigate the effect of the valley degree of freedom on paulispin blockade readout of spin qubits in silicon the valley splitting energy sets the singlettriplet splitting and thereby constrains the detuning range the valley phase difference controls the relative strength of the intra and intervalley tunnel couplings which in the proposed paulispin blockade readout scheme couple singlets and polarized triplets respectively we find that highfidelity readout is possible for a wide range of phase differences while taking into account experimentally observed valley splittings and tunnel couplings we also show that the control of the valley splitting together with the optimization of the readout detuning can compensate the effect of the valley phase difference to increase the measurement fidelity and extend the relaxation time we propose a latching protocol that requires a triple quantum dot and exploits weak longrange tunnel coupling these opportunities are promising for scaling spin qubit systems and improving qubit readout fidelity
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1,803.01812
Centrality fluctuations in heavy-ion collisions
Volume or centrality fluctuations (CF) is one of the main uncertainties for interpreting the centrality dependence of many experimental observables. The CF is constrained by centrality selection based on particle multiplicity in a reference subevent, and contributes to observables measured in another subevent. Using a Glauber-based independent source model, we study the influence of CF on several distributions of multiplicity $N$ and eccentricities $\epsilon_n$: $p(N)$, $p(\epsilon_n)$, $p(\epsilon_n,\epsilon_m)$ and $p(N,\epsilon_n)$, where the effects of CF is quantified using multi-particle cumulants of these distributions. In mid-central collisions, a general relation is established between the multiplicity fluctuation and resulting CF in the reference subevent. In ultra-central collisions, where distribution of particle production sources is strongly distorted, we find these cumulants exhibit rich sign-change patterns, due to observable-dependent non-Gaussianity in the underlying distributions. The details of sign-change pattern change with the size of the collision systems. Simultaneous comparison of these different types cumulants between model prediction and experimental data can be used to constrain the CF and particle production mechanism in heavy-ion collisions. Since the concept of centrality and CF are expected to fluctuate in the longitudinal direction within a single event, we propose to use pseudorapidity-separated subevent cumulant method to explore the nature of intra-event fluctuations of centrality and collective dynamics. The subevent method can be applied for any bulk observable that is sensitive to centrality, and has the potential to separate different mechanisms for multiplicity and flow fluctuations happening at different time scales. The forward detector upgrades at RHIC and LHC will greatly enhance such studies in the future.
nucl-th hep-ph nucl-ex
volume or centrality fluctuations cf is one of the main uncertainties for interpreting the centrality dependence of many experimental observables the cf is constrained by centrality selection based on particle multiplicity in a reference subevent and contributes to observables measured in another subevent using a glauberbased independent source model we study the influence of cf on several distributions of multiplicity n and eccentricities epsilon_n pn pepsilon_n pepsilon_nepsilon_m and pnepsilon_n where the effects of cf is quantified using multiparticle cumulants of these distributions in midcentral collisions a general relation is established between the multiplicity fluctuation and resulting cf in the reference subevent in ultracentral collisions where distribution of particle production sources is strongly distorted we find these cumulants exhibit rich signchange patterns due to observabledependent nongaussianity in the underlying distributions the details of signchange pattern change with the size of the collision systems simultaneous comparison of these different types cumulants between model prediction and experimental data can be used to constrain the cf and particle production mechanism in heavyion collisions since the concept of centrality and cf are expected to fluctuate in the longitudinal direction within a single event we propose to use pseudorapidityseparated subevent cumulant method to explore the nature of intraevent fluctuations of centrality and collective dynamics the subevent method can be applied for any bulk observable that is sensitive to centrality and has the potential to separate different mechanisms for multiplicity and flow fluctuations happening at different time scales the forward detector upgrades at rhic and lhc will greatly enhance such studies in the future
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1,803.01813
Zero resonances for localised potentials
This paper considers Hamiltonians with localised potentials and gives a variational characterisation of resonant coupling parameters, which allow to provide estimates for the first resonant parameter and in turn also to provide bounds for resonant free regions. As application we provide a constructive approach to calculate the first resonant parameter for Yukawa type potentials in $\mathbb R^3$.
math.AP
this paper considers hamiltonians with localised potentials and gives a variational characterisation of resonant coupling parameters which allow to provide estimates for the first resonant parameter and in turn also to provide bounds for resonant free regions as application we provide a constructive approach to calculate the first resonant parameter for yukawa type potentials in mathbb r3
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1,803.01814
Norm matters: efficient and accurate normalization schemes in deep networks
Over the past few years, Batch-Normalization has been commonly used in deep networks, allowing faster training and high performance for a wide variety of applications. However, the reasons behind its merits remained unanswered, with several shortcomings that hindered its use for certain tasks. In this work, we present a novel view on the purpose and function of normalization methods and weight-decay, as tools to decouple weights' norm from the underlying optimized objective. This property highlights the connection between practices such as normalization, weight decay and learning-rate adjustments. We suggest several alternatives to the widely used $L^2$ batch-norm, using normalization in $L^1$ and $L^\infty$ spaces that can substantially improve numerical stability in low-precision implementations as well as provide computational and memory benefits. We demonstrate that such methods enable the first batch-norm alternative to work for half-precision implementations. Finally, we suggest a modification to weight-normalization, which improves its performance on large-scale tasks.
stat.ML cs.LG
over the past few years batchnormalization has been commonly used in deep networks allowing faster training and high performance for a wide variety of applications however the reasons behind its merits remained unanswered with several shortcomings that hindered its use for certain tasks in this work we present a novel view on the purpose and function of normalization methods and weightdecay as tools to decouple weights norm from the underlying optimized objective this property highlights the connection between practices such as normalization weight decay and learningrate adjustments we suggest several alternatives to the widely used l2 batchnorm using normalization in l1 and linfty spaces that can substantially improve numerical stability in lowprecision implementations as well as provide computational and memory benefits we demonstrate that such methods enable the first batchnorm alternative to work for halfprecision implementations finally we suggest a modification to weightnormalization which improves its performance on largescale tasks
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1,803.01815
Modeling the Radio Background from the First Black Holes at Cosmic Dawn: Implications for the 21 cm Absorption Amplitude
We estimate the 21 cm Radio Background from accretion onto the first intermediate-mass Black Holes between $z\approx 30$ and $z\approx 16$. Combining potentially optimistic, but plausible, scenarios for black hole formation and growth with empirical correlations between luminosity and radio-emission observed in low-redshift active galactic nuclei, we find that a model of black holes forming in molecular cooling halos is able to produce a 21 cm background that exceeds the Cosmic Microwave Background (CMB) at $z \approx 17$ though models involving larger halo masses are not entirely excluded. Such a background could explain the surprisingly large amplitude of the 21 cm absorption feature recently reported by the EDGES collaboration. Such black holes would also produce significant X-ray emission and contribute to the $0.5-2$ keV soft X-ray background at the level of $\approx 10^{-13}-10^{-12}$ erg sec$^{-1}$ cm$^{-2}$ deg$^{-2}$, consistent with existing constraints. In order to avoid heating the IGM over the EDGES trough, these black holes would need to be obscured by Hydrogen column depths of $ N_\text{H} \sim 5 \times 10^{23} \text{cm}^{-2}$. Such black holes would avoid violating contraints on the CMB optical depth from Planck if their UV photon escape fractions were below $f_{\text{esc}} \lesssim 0.1$, which would be a natural result of $N_\text{H} \sim 5 \times 10^{23} \text{cm}^{-2}$ imposed by an unheated IGM.
astro-ph.CO astro-ph.GA
we estimate the 21 cm radio background from accretion onto the first intermediatemass black holes between zapprox 30 and zapprox 16 combining potentially optimistic but plausible scenarios for black hole formation and growth with empirical correlations between luminosity and radioemission observed in lowredshift active galactic nuclei we find that a model of black holes forming in molecular cooling halos is able to produce a 21 cm background that exceeds the cosmic microwave background cmb at z approx 17 though models involving larger halo masses are not entirely excluded such a background could explain the surprisingly large amplitude of the 21 cm absorption feature recently reported by the edges collaboration such black holes would also produce significant xray emission and contribute to the 052 kev soft xray background at the level of approx 10131012 erg sec1 cm2 deg2 consistent with existing constraints in order to avoid heating the igm over the edges trough these black holes would need to be obscured by hydrogen column depths of n_texth sim 5 times 1023 textcm2 such black holes would avoid violating contraints on the cmb optical depth from planck if their uv photon escape fractions were below f_textesc lesssim 01 which would be a natural result of n_texth sim 5 times 1023 textcm2 imposed by an unheated igm
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1,803.01816
Tverberg theorems over discrete sets of points
This paper discusses Tverberg-type theorems with coordinate constraints (i.e., versions of these theorems where all points lie within a subset $S \subset \mathbb{R}^d$ and the intersection of convex hulls is required to have a non-empty intersection with $S$). We determine the $m$-Tverberg number, when $m \geq 3$, of any discrete subset $S$ of $\mathbb{R}^2$ (a generalization of an unpublished result of J.-P. Doignon). We also present improvements on the upper bounds for the Tverberg numbers of $\mathbb{Z}^3$ and $\mathbb{Z}^j \times \mathbb{R}^k$ and an integer version of the well-known positive-fraction selection lemma of J. Pach.
math.MG cs.CG math.CO
this paper discusses tverbergtype theorems with coordinate constraints ie versions of these theorems where all points lie within a subset s subset mathbbrd and the intersection of convex hulls is required to have a nonempty intersection with s we determine the mtverberg number when m geq 3 of any discrete subset s of mathbbr2 a generalization of an unpublished result of jp doignon we also present improvements on the upper bounds for the tverberg numbers of mathbbz3 and mathbbzj times mathbbrk and an integer version of the wellknown positivefraction selection lemma of j pach
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1,803.01817
Superradiance Effect of a Black Hole Immersed in an Expanding Universe
We studied the superradiance effect of a charge black hole immersed in an expanding Universe. We considered a test massive charged scalar field scattered off the horizon of the charge McVittie black hole. We carried out a detailed analysis of the electric energy extracted from the horizon of McVittie black hole in two different epochs of the expansion of the Universe, the dust dominated and radiation dominated epochs. We found that we have the superradiance effect in both epochs of the expansion of the Universe. Our study also provides evidence that we have extraction of energy from the horizon of the neutral McVittie black hole.
gr-qc hep-th
we studied the superradiance effect of a charge black hole immersed in an expanding universe we considered a test massive charged scalar field scattered off the horizon of the charge mcvittie black hole we carried out a detailed analysis of the electric energy extracted from the horizon of mcvittie black hole in two different epochs of the expansion of the universe the dust dominated and radiation dominated epochs we found that we have the superradiance effect in both epochs of the expansion of the universe our study also provides evidence that we have extraction of energy from the horizon of the neutral mcvittie black hole
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1,803.01818
Experimental demonstration of Pauli-frame randomization on a superconducting qubit
The promise of quantum computing with imperfect qubits relies on the ability of a quantum computing system to scale cheaply through error correction and fault-tolerance. While fault-tolerance requires relatively mild assumptions about the nature of qubit errors, the overhead associated with coherent and non-Markovian errors can be orders of magnitude larger than the overhead associated with purely stochastic Markovian errors. One proposal to address this challenge is to randomize the circuits of interest, shaping the errors to be stochastic Pauli errors but leaving the aggregate computation unaffected. The randomization technique can also suppress couplings to slow degrees of freedom associated with non-Markovian evolution. Here we demonstrate the implementation of Pauli-frame randomization in a superconducting circuit system, exploiting a flexible programming and control infrastructure to achieve this with low effort. We use high-accuracy gate-set tomography to characterize in detail the properties of the circuit error, with and without the randomization procedure, which allows us to make rigorous statements about Markovianity as well as the nature of the observed errors. We demonstrate that randomization suppresses signatures of non-Markovian evolution to statistically insignificant levels, from a Markovian model violation ranging from $43\sigma$ to $1987\sigma$, down to violations between $0.3\sigma$ and $2.7\sigma$ under randomization. Moreover, we demonstrate that, under randomization, the experimental errors are well described by a Pauli error model, with model violations that are similarly insignificant (between $0.8\sigma$ and $2.7\sigma$). Importantly, all these improvements in the model accuracy were obtained without degradation to fidelity, and with some improvements to error rates as quantified by the diamond norm.
quant-ph
the promise of quantum computing with imperfect qubits relies on the ability of a quantum computing system to scale cheaply through error correction and faulttolerance while faulttolerance requires relatively mild assumptions about the nature of qubit errors the overhead associated with coherent and nonmarkovian errors can be orders of magnitude larger than the overhead associated with purely stochastic markovian errors one proposal to address this challenge is to randomize the circuits of interest shaping the errors to be stochastic pauli errors but leaving the aggregate computation unaffected the randomization technique can also suppress couplings to slow degrees of freedom associated with nonmarkovian evolution here we demonstrate the implementation of pauliframe randomization in a superconducting circuit system exploiting a flexible programming and control infrastructure to achieve this with low effort we use highaccuracy gateset tomography to characterize in detail the properties of the circuit error with and without the randomization procedure which allows us to make rigorous statements about markovianity as well as the nature of the observed errors we demonstrate that randomization suppresses signatures of nonmarkovian evolution to statistically insignificant levels from a markovian model violation ranging from 43sigma to 1987sigma down to violations between 03sigma and 27sigma under randomization moreover we demonstrate that under randomization the experimental errors are well described by a pauli error model with model violations that are similarly insignificant between 08sigma and 27sigma importantly all these improvements in the model accuracy were obtained without degradation to fidelity and with some improvements to error rates as quantified by the diamond norm
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1,803.01819
Sub-Nyquist Radar: Principles and Prototypes
In the past few years, new approaches to radar signal processing have been introduced which allow the radar to perform signal detection and parameter estimation from much fewer measurements than that required by Nyquist sampling. These systems - referred to as sub-Nyquist radars - model the received signal as having finite rate of innovation and employ the Xampling framework to obtain low-rate samples of the signal. Sub-Nyquist radars exploit the fact that the target scene is sparse facilitating the use of compressed sensing (CS) methods in signal recovery. In this chapter, we review several pulse-Doppler radar systems based on these principles. Contrary to other CS-based designs, our formulations directly address the reduced-rate analog sampling in space and time, avoid a prohibitive dictionary size, and are robust to noise and clutter. We begin by introducing temporal sub-Nyquist processing for estimating the target locations using less bandwidth than conventional systems. This paves the way to cognitive radars which share their transmit spectrum with other communication services, thereby providing a robust solution for coexistence in spectrally crowded environments. Next, without impairing Doppler resolution, we reduce the dwell time by transmitting interleaved radar pulses in a scarce manner within a coherent processing interval or "slow time". Then, we consider multiple-input-multiple-output array radars and demonstrate spatial sub-Nyquist processing which allows the use of few antenna elements without degradation in angular resolution. Finally, we demonstrate application of sub-Nyquist and cognitive radars to imaging systems such as synthetic aperture radar. For each setting, we present a state-of-the-art hardware prototype designed to demonstrate the real-time feasibility of sub-Nyquist radars.
cs.IT math.IT
in the past few years new approaches to radar signal processing have been introduced which allow the radar to perform signal detection and parameter estimation from much fewer measurements than that required by nyquist sampling these systems referred to as subnyquist radars model the received signal as having finite rate of innovation and employ the xampling framework to obtain lowrate samples of the signal subnyquist radars exploit the fact that the target scene is sparse facilitating the use of compressed sensing cs methods in signal recovery in this chapter we review several pulsedoppler radar systems based on these principles contrary to other csbased designs our formulations directly address the reducedrate analog sampling in space and time avoid a prohibitive dictionary size and are robust to noise and clutter we begin by introducing temporal subnyquist processing for estimating the target locations using less bandwidth than conventional systems this paves the way to cognitive radars which share their transmit spectrum with other communication services thereby providing a robust solution for coexistence in spectrally crowded environments next without impairing doppler resolution we reduce the dwell time by transmitting interleaved radar pulses in a scarce manner within a coherent processing interval or slow time then we consider multipleinputmultipleoutput array radars and demonstrate spatial subnyquist processing which allows the use of few antenna elements without degradation in angular resolution finally we demonstrate application of subnyquist and cognitive radars to imaging systems such as synthetic aperture radar for each setting we present a stateoftheart hardware prototype designed to demonstrate the realtime feasibility of subnyquist radars
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1,803.0182
Optical model potential analysis of $\bar nA$ and $nA$ interactions
We use a momentum-dependent optical model potential to analyze the annihilation cross sections of antineutron $\bar n$ on C, Al, Fe, Cu, Ag, Sn, and Pb nuclei for projectile momenta $p_{\rm lab}$ $\lesssim$ 500 MeV/$c$. We obtain good description of annihilation cross sections data of Barbina {\it et al.} [Nucl.~Phys.~A {\bf 612}, ~346~(1997)] and of Astrua {\it et al.} [Nucl.~Phys.~A {\bf 697},~209~(2002)] which exhibit an interesting dependence of the cross sections on the $p_{\rm lab}$ as well as on the target atomic mass number $A$. We also obtain the neutron ($n$) non-elastic reaction cross sections for the same targets. Contrasting the $nA$ reaction cross sections $\sigma^{nA}_{\rm rec}$ to the $\bar nA$ annihilation cross sections $\sigma^{\bar nA}_{\rm ann}$, we find the $\sigma^{\bar nA}_{\rm ann}$ is significantly larger than the $\sigma^{nA}_{\rm rec}$, that is, the $\sigma^{\bar nA}_{\rm ann}$/$\sigma^{nA}_{\rm rec}$ cross section ratio lies between the values of order 1.8 and 3.8 in the momentum region where comparison is possible. The dependence of the annihilation cross section on the projectile charge is also examined in comparison with antiproton $\bar p$. Here we predict the $\bar pA$ annihilation cross section on the simplest assumption that both $\bar pA$ and $\bar nA$ interactions have the same nuclear part of the optical model potential but differs only on the electrostatic Coulomb interaction. Deviation from such simple model extrapolation in measurements will provide new information on the difference between $\bar nA$ and $\bar pA$ potentials.
nucl-th
we use a momentumdependent optical model potential to analyze the annihilation cross sections of antineutron bar n on c al fe cu ag sn and pb nuclei for projectile momenta p_rm lab lesssim 500 mevc we obtain good description of annihilation cross sections data of barbina it et al nuclphysa bf 612 3461997 and of astrua it et al nuclphysa bf 6972092002 which exhibit an interesting dependence of the cross sections on the p_rm lab as well as on the target atomic mass number a we also obtain the neutron n nonelastic reaction cross sections for the same targets contrasting the na reaction cross sections sigmana_rm rec to the bar na annihilation cross sections sigmabar na_rm ann we find the sigmabar na_rm ann is significantly larger than the sigmana_rm rec that is the sigmabar na_rm annsigmana_rm rec cross section ratio lies between the values of order 18 and 38 in the momentum region where comparison is possible the dependence of the annihilation cross section on the projectile charge is also examined in comparison with antiproton bar p here we predict the bar pa annihilation cross section on the simplest assumption that both bar pa and bar na interactions have the same nuclear part of the optical model potential but differs only on the electrostatic coulomb interaction deviation from such simple model extrapolation in measurements will provide new information on the difference between bar na and bar pa potentials
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1,803.01821
Magnetic Rayleigh-Taylor Instability in Radiative Flows
We present a linear analysis of the radiative Rayleigh-Taylor (RT) instability in the presence of magnetic field for both optically thin and thick regimes. When the flow is optically thin, magnetic field not only stabilizes perturbations with short wavelengths, but also growth rate of the instability at long wavelengths is reduced compared to a nonmagnetized case. Then, we extend our analysis to the optically thick flows with a conserved total specific entropy and properties of the unstable perturbations are investigated in detail. Growth rate of the instability at short wavelengths is suppressed due to the presence of the magnetic field, however, growth rate is nearly constant at long wavelengths because of the radiation field. Since the radiative bubbles around massive protostars are subject to the RT instability, we also explore implications of our results in this context. In the nonmagnetized case, the growth time-scale of the instability for a typical bubble is found less than one thousand years which is very short compared to the typical star formation time-scale. Magnetic field with a reasonable strength significantly increases the growth time-scale to more than hundreds of thousands years. The instability, furthermore, is more efficient at large wavelengths, whereas in the non-magnetized case, growth rate at short wavelengths is more significant.
astro-ph.GA
we present a linear analysis of the radiative rayleightaylor rt instability in the presence of magnetic field for both optically thin and thick regimes when the flow is optically thin magnetic field not only stabilizes perturbations with short wavelengths but also growth rate of the instability at long wavelengths is reduced compared to a nonmagnetized case then we extend our analysis to the optically thick flows with a conserved total specific entropy and properties of the unstable perturbations are investigated in detail growth rate of the instability at short wavelengths is suppressed due to the presence of the magnetic field however growth rate is nearly constant at long wavelengths because of the radiation field since the radiative bubbles around massive protostars are subject to the rt instability we also explore implications of our results in this context in the nonmagnetized case the growth timescale of the instability for a typical bubble is found less than one thousand years which is very short compared to the typical star formation timescale magnetic field with a reasonable strength significantly increases the growth timescale to more than hundreds of thousands years the instability furthermore is more efficient at large wavelengths whereas in the nonmagnetized case growth rate at short wavelengths is more significant
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1,803.01822
EPTAS for Max Clique on Disks and Unit Balls
We propose a polynomial-time algorithm which takes as input a finite set of points of $\mathbb R^3$ and compute, up to arbitrary precision, a maximum subset with diameter at most $1$. More precisely, we give the first randomized EPTAS and deterministic PTAS for Maximum Clique in unit ball graphs. Our approximation algorithm also works on disk graphs with arbitrary radii. Almost three decades ago, an elegant polynomial-time algorithm was found for Maximum Clique on unit disk graphs [Clark, Colbourn, Johnson; Discrete Mathematics '90]. Since then, it has been an intriguing open question whether or not tractability can be extended to general disk graphs. Recently, it was shown that the disjoint union of two odd cycles is never the complement of a disk graph [Bonnet, Giannopoulos, Kim, Rz\k{a}\.{z}ewski, Sikora; SoCG '18]. This enabled the authors to derive a QPTAS and a subexponential algorithm for Max Clique on disk graphs. In this paper, we improve the approximability to a randomized EPTAS (and a deterministic PTAS). More precisely, we obtain a randomized EPTAS for computing the independence number on graphs having no disjoint union of two odd cycles as an induced subgraph, bounded VC-dimension, and large independence number. We then address the question of computing Max Clique for disks in higher dimensions. We show that intersection graphs of unit balls, like disk graphs, do not admit the complement of two odd cycles as an induced subgraph. This, in combination with the first result, straightforwardly yields a randomized EPTAS for Max Clique on unit ball graphs. In stark contrast, we show that on ball and unit 4-dimensional disk graphs, Max Clique is NP-hard and does not admit an approximation scheme even in subexponential-time, unless the Exponential Time Hypothesis fails.
cs.CG
we propose a polynomialtime algorithm which takes as input a finite set of points of mathbb r3 and compute up to arbitrary precision a maximum subset with diameter at most 1 more precisely we give the first randomized eptas and deterministic ptas for maximum clique in unit ball graphs our approximation algorithm also works on disk graphs with arbitrary radii almost three decades ago an elegant polynomialtime algorithm was found for maximum clique on unit disk graphs clark colbourn johnson discrete mathematics 90 since then it has been an intriguing open question whether or not tractability can be extended to general disk graphs recently it was shown that the disjoint union of two odd cycles is never the complement of a disk graph bonnet giannopoulos kim rzkazewski sikora socg 18 this enabled the authors to derive a qptas and a subexponential algorithm for max clique on disk graphs in this paper we improve the approximability to a randomized eptas and a deterministic ptas more precisely we obtain a randomized eptas for computing the independence number on graphs having no disjoint union of two odd cycles as an induced subgraph bounded vcdimension and large independence number we then address the question of computing max clique for disks in higher dimensions we show that intersection graphs of unit balls like disk graphs do not admit the complement of two odd cycles as an induced subgraph this in combination with the first result straightforwardly yields a randomized eptas for max clique on unit ball graphs in stark contrast we show that on ball and unit 4dimensional disk graphs max clique is nphard and does not admit an approximation scheme even in subexponentialtime unless the exponential time hypothesis fails
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1,803.01823
Efficient quantitative hyperspectral image unmixing method for large-scale Raman micro-spectroscopy data analysis
Vibrational micro-spectroscopy is a powerful optical tool, providing a non-invasive label-free chemically specific imaging for many chemical and biomedical applications. However, hyperspectral image produced by Raman micro-spectroscopy typically consists of thousands discrete pixel points, each having individual Raman spectrum at thousand wavenumbers, and therefore requires appropriate image unmixing computational methods to retrieve non-negative spatial concentration and corresponding non-negative spectra of the image biochemical constituents. In this article, we present a new efficient Quantitative Hyperspectral Image Unmixing (Q-HIU) method for large-scale Raman micro-spectroscopy data analysis. This method enables to simultaneously analyse multi-set Raman hyperspectral images in three steps: (i) Singular Value Decomposition with innovative Automatic Divisive Correlation (SVD-ADC) which autonomously filters spatially and spectrally uncorrelated noise from data; (ii) a robust subtraction of fluorescent background from the data using a newly developed algorithm called Bottom Gaussian Fitting (BGF); (iii) an efficient Quantitative Unsupervised/Partially Supervised Non-negative Matrix Factorization method (Q-US/PS-NMF), which rigorously retrieves non-negative spatial concentration maps and spectral profiles of the samples' biochemical constituents with no a priori information and with great operation speed. Alternatively, the Q-US/PS-NMF is capable to work as a partially supervised method, when one or several samples' constituents are known, which significantly widens chemical and biomedical applications of the method. We apply the Q-HIU to the analysis of real large-scale Raman hyperspectral images of human atherosclerotic aortic tissues and our results show a proof-of-principle for the proposed method to retrieve the biochemical composition of the tissues.
physics.comp-ph
vibrational microspectroscopy is a powerful optical tool providing a noninvasive labelfree chemically specific imaging for many chemical and biomedical applications however hyperspectral image produced by raman microspectroscopy typically consists of thousands discrete pixel points each having individual raman spectrum at thousand wavenumbers and therefore requires appropriate image unmixing computational methods to retrieve nonnegative spatial concentration and corresponding nonnegative spectra of the image biochemical constituents in this article we present a new efficient quantitative hyperspectral image unmixing qhiu method for largescale raman microspectroscopy data analysis this method enables to simultaneously analyse multiset raman hyperspectral images in three steps i singular value decomposition with innovative automatic divisive correlation svdadc which autonomously filters spatially and spectrally uncorrelated noise from data ii a robust subtraction of fluorescent background from the data using a newly developed algorithm called bottom gaussian fitting bgf iii an efficient quantitative unsupervisedpartially supervised nonnegative matrix factorization method quspsnmf which rigorously retrieves nonnegative spatial concentration maps and spectral profiles of the samples biochemical constituents with no a priori information and with great operation speed alternatively the quspsnmf is capable to work as a partially supervised method when one or several samples constituents are known which significantly widens chemical and biomedical applications of the method we apply the qhiu to the analysis of real largescale raman hyperspectral images of human atherosclerotic aortic tissues and our results show a proofofprinciple for the proposed method to retrieve the biochemical composition of the tissues
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1,803.01824
Origin of the anapole condition as revealed by a simple expansion beyond the toroidal multipole
Toroidal multipoles are a topic of increasing interest in the nanophotonics and metamaterials communities. In this paper, we separate out the toroidal multipole components of multipole expansions in polar coordinates (two- and three-dimensional) by expanding the Bessel or spherical Bessel functions. We discuss the formation of the lowest order of magnetic anapoles from the interaction between the magnetic toroidal dipole and the magnetic dipole. Our method also reveals that there are higher order current configurations other than the electric toroidal multipole that have the same radiation characteristics as the pure electric dipole. Furthermore, we find that the anapole condition requires that there is a perfect cancellation of all higher order current configurations.
physics.app-ph
toroidal multipoles are a topic of increasing interest in the nanophotonics and metamaterials communities in this paper we separate out the toroidal multipole components of multipole expansions in polar coordinates two and threedimensional by expanding the bessel or spherical bessel functions we discuss the formation of the lowest order of magnetic anapoles from the interaction between the magnetic toroidal dipole and the magnetic dipole our method also reveals that there are higher order current configurations other than the electric toroidal multipole that have the same radiation characteristics as the pure electric dipole furthermore we find that the anapole condition requires that there is a perfect cancellation of all higher order current configurations
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1,803.01825
On the Exponential Stability of Primal-Dual Gradient Dynamics
Continuous time primal-dual gradient dynamics that find a saddle point of a Lagrangian of an optimization problem have been widely used in systems and control. While the global asymptotic stability of such dynamics has been well-studied, it is less studied whether they are globally exponentially stable. In this paper, we study the primal-dual gradient dynamics for convex optimization with strongly-convex and smooth objectives and affine equality or inequality constraints, and prove global exponential stability for such dynamics. Bounds on decaying rates are provided.
math.OC
continuous time primaldual gradient dynamics that find a saddle point of a lagrangian of an optimization problem have been widely used in systems and control while the global asymptotic stability of such dynamics has been wellstudied it is less studied whether they are globally exponentially stable in this paper we study the primaldual gradient dynamics for convex optimization with stronglyconvex and smooth objectives and affine equality or inequality constraints and prove global exponential stability for such dynamics bounds on decaying rates are provided
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1,803.01826
Family-size variability grows with collapse rate in Birth-Death-Catastrophe model
Forest-fire and avalanche models support the notion that frequent catastrophes prevent the growth of very large populations and as such prevent rare large-scale catastrophes. We show that this notion is not universal. A new model class leads to a paradigm shift in the influence of catastrophes on the family-size distribution of sub-populations. We study a simple population dynamics model where individuals, as well as a whole family, may die with a constant probability, accompanied by a logistic population growth model. We compute the characteristics of the family-size distribution in steady-state and the phase diagram of the steady-state distribution, and show that the family and catastrophe size variances increase with the catastrophe frequency, which is the opposite of common intuition. Frequent catastrophes are balanced by a larger net-growth rate in surviving families, leading to the exponential growth of these families. When the catastrophe rate is further increased, a second phase transition to extinction occurs, when the rate of new families creations is lower than their destruction rate by catastrophes.
q-bio.PE
forestfire and avalanche models support the notion that frequent catastrophes prevent the growth of very large populations and as such prevent rare largescale catastrophes we show that this notion is not universal a new model class leads to a paradigm shift in the influence of catastrophes on the familysize distribution of subpopulations we study a simple population dynamics model where individuals as well as a whole family may die with a constant probability accompanied by a logistic population growth model we compute the characteristics of the familysize distribution in steadystate and the phase diagram of the steadystate distribution and show that the family and catastrophe size variances increase with the catastrophe frequency which is the opposite of common intuition frequent catastrophes are balanced by a larger netgrowth rate in surviving families leading to the exponential growth of these families when the catastrophe rate is further increased a second phase transition to extinction occurs when the rate of new families creations is lower than their destruction rate by catastrophes
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1,803.01827
On reflexive simple modules in Artin algebras
Let $A$ be an Artin algebra. It is well known that $A$ is selfinjective if and only if every finitely generated $A$-module is reflexive. In this article we pose and motivate the question whether an algebra $A$ is selfinjective if and only if every simple module is reflexive. We give a positive answer to this question for large classes of algebras which include for example all Gorenstein algebras and all QF-3 algebras.
math.RT
let a be an artin algebra it is well known that a is selfinjective if and only if every finitely generated amodule is reflexive in this article we pose and motivate the question whether an algebra a is selfinjective if and only if every simple module is reflexive we give a positive answer to this question for large classes of algebras which include for example all gorenstein algebras and all qf3 algebras
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1,803.01828
Scattering approach to Anderson localisation
We develop a novel approach to the Anderson localisation problem in a $d$-dimensional disordered sample of dimension $L\times M^{d-1}$. Attaching a perfect lead with the cross-section $M^{d-1}$ to one side of the sample, we derive evolution equations for the scattering matrix and the Wigner-Smith time delay matrix as a function of $L$. Using them one obtains the Fokker-Planck equation for the distribution of the proper delay times and the evolution equation for their density at weak disorder. The latter can be mapped onto a non-linear partial differential equation of the Burgers type, for which a complete analytical solution for arbitrary $L$ is constructed. Analysing the solution for a cubic sample with $M=L$ in the limit $L\to \infty$, we find that for $d<2$ the solution tends to the localised fixed point, while for $d>2$ to the metallic fixed point and provide explicit results for the density of the delay times in these two limits.
cond-mat.mes-hall cond-mat.dis-nn math-ph math.MP
we develop a novel approach to the anderson localisation problem in a ddimensional disordered sample of dimension ltimes md1 attaching a perfect lead with the crosssection md1 to one side of the sample we derive evolution equations for the scattering matrix and the wignersmith time delay matrix as a function of l using them one obtains the fokkerplanck equation for the distribution of the proper delay times and the evolution equation for their density at weak disorder the latter can be mapped onto a nonlinear partial differential equation of the burgers type for which a complete analytical solution for arbitrary l is constructed analysing the solution for a cubic sample with ml in the limit lto infty we find that for d2 the solution tends to the localised fixed point while for d2 to the metallic fixed point and provide explicit results for the density of the delay times in these two limits
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1,803.01829
PPD-IPM: Outer primal, inner primal-dual interior-point method for nonlinear programming
In this paper we present a novel numerical method for computing local minimizers of twice smooth differentiable non-linear programming (NLP) problems. So far all algorithms for NLP are based on either of the following three principles: successive quadratic programming (SQP), active sets (AS), or interior-point methods (IPM). Each of them has drawbacks. These are in order: iteration complexity, feasibility management in the sub-program, and utility of initial guesses. Our novel approach attempts to overcome these drawbacks. We provide: a mathematical description of the method; proof of global convergence; proof of second order local convergence; an implementation in \textsc{Matlab}; experimental results for large sparse NLPs from direct transcription of path-constrained optimal control problems.
math.NA
in this paper we present a novel numerical method for computing local minimizers of twice smooth differentiable nonlinear programming nlp problems so far all algorithms for nlp are based on either of the following three principles successive quadratic programming sqp active sets as or interiorpoint methods ipm each of them has drawbacks these are in order iteration complexity feasibility management in the subprogram and utility of initial guesses our novel approach attempts to overcome these drawbacks we provide a mathematical description of the method proof of global convergence proof of second order local convergence an implementation in textscmatlab experimental results for large sparse nlps from direct transcription of pathconstrained optimal control problems
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1,803.0183
A $q$-microscope for supercongruences
By examining asymptotic behavior of certain infinite basic ($q$-) hypergeometric sums at roots of unity (that is, at a "$q$-microscopic" level) we prove polynomial congruences for their truncations. The latter reduce to non-trivial (super)congruences for truncated ordinary hypergeometric sums, which have been observed numerically and proven rarely. A typical example includes derivation, from a $q$-analogue of Ramanujan's formula $$ \sum_{n=0}^\infty\frac{\binom{4n}{2n}{\binom{2n}{n}}^2}{2^{8n}3^{2n}}\,(8n+1) =\frac{2\sqrt{3}}{\pi}, $$ of the two supercongruences $$ S(p-1)\equiv p\biggl(\frac{-3}p\biggr)\pmod{p^3} \quad\text{and}\quad S\Bigl(\frac{p-1}2\Bigr) \equiv p\biggl(\frac{-3}p\biggr)\pmod{p^3}, $$ valid for all primes $p>3$, where $S(N)$ denotes the truncation of the infinite sum at the $N$-th place and $(\frac{-3}{\cdot})$ stands for the quadratic character modulo $3$.
math.NT math.CA math.CO math.QA
by examining asymptotic behavior of certain infinite basic q hypergeometric sums at roots of unity that is at a qmicroscopic level we prove polynomial congruences for their truncations the latter reduce to nontrivial supercongruences for truncated ordinary hypergeometric sums which have been observed numerically and proven rarely a typical example includes derivation from a qanalogue of ramanujans formula sum_n0inftyfracbinom4n2nbinom2nn228n32n8n1 frac2sqrt3pi of the two supercongruences sp1equiv pbigglfrac3pbiggrpmodp3 quadtextandquad sbiglfracp12bigr equiv pbigglfrac3pbiggrpmodp3 valid for all primes p3 where sn denotes the truncation of the infinite sum at the nth place and frac3cdot stands for the quadratic character modulo 3
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1,803.01831
The theories of Baldwin-Shi hypergraphs and their atomic models
We show that the quantifier elimination result for the Shelah-Spencer almost sure theories of sparse random graphs $G(n,n^{-\alpha})$ given by Laskowski in $[7]$ extends to their various analogues. The analogues will be obtained as theories of generic structures of certain classes of finite structures with a notion of strong substructure induced by rank functions and we will call the generics Baldwin-Shi hypergraphs. In the process we give a method of constructing extensions whose `relative rank' is negative but arbitrarily small in context. We give a necessary and sufficient condition for the theory of a Baldwin-Shi hypergraph to have atomic models. We further show that for certain well behaved classes of theories of Baldwin-Shi hypergraphs, the existentially closed models and the atomic models correspond.
math.LO
we show that the quantifier elimination result for the shelahspencer almost sure theories of sparse random graphs gnnalpha given by laskowski in 7 extends to their various analogues the analogues will be obtained as theories of generic structures of certain classes of finite structures with a notion of strong substructure induced by rank functions and we will call the generics baldwinshi hypergraphs in the process we give a method of constructing extensions whose relative rank is negative but arbitrarily small in context we give a necessary and sufficient condition for the theory of a baldwinshi hypergraph to have atomic models we further show that for certain well behaved classes of theories of baldwinshi hypergraphs the existentially closed models and the atomic models correspond
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1,803.01832
Polaron transport of amorphous semiconductors with embedded crystallites
Near-room-temperature electronic transport of annealing induced semiconducting crystallites embedded within its amorphous counterpart is treated within the effective-medium approach. As such, the mixtures transport coefficients become smooth functions of those of its two components. Carrier mobilities in the crystallites are assumed much larger than those of the amorphous phase. Nonetheless, crystallites act as macroscopic traps when their carriers energies lie below those in the amorphous phase. Then the mixtures dc conductivity falls below that of the amorphous phase at low enough carrier concentrations. However, with increasing carrier concentration the shifting chemical potential diminishes this trapping effect enabling crystallites larger mobilities to drive the mixtures electrical conductivity above that of the amorphous phase. Meanwhile the Seebeck coefficient remains insensitive to the annealing-induced introduction and growth of embedded crystallites. These features are qualitatively similar to those reported for an amorphous organic polymer with annealing-induced embedded crystallites.
cond-mat.mes-hall
nearroomtemperature electronic transport of annealing induced semiconducting crystallites embedded within its amorphous counterpart is treated within the effectivemedium approach as such the mixtures transport coefficients become smooth functions of those of its two components carrier mobilities in the crystallites are assumed much larger than those of the amorphous phase nonetheless crystallites act as macroscopic traps when their carriers energies lie below those in the amorphous phase then the mixtures dc conductivity falls below that of the amorphous phase at low enough carrier concentrations however with increasing carrier concentration the shifting chemical potential diminishes this trapping effect enabling crystallites larger mobilities to drive the mixtures electrical conductivity above that of the amorphous phase meanwhile the seebeck coefficient remains insensitive to the annealinginduced introduction and growth of embedded crystallites these features are qualitatively similar to those reported for an amorphous organic polymer with annealinginduced embedded crystallites
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1,803.01833
Marginal Singularity, and the Benefits of Labels in Covariate-Shift
We present new minimax results that concisely capture the relative benefits of source and target labeled data, under covariate-shift. Namely, we show that the benefits of target labels are controlled by a transfer-exponent $\gamma$ that encodes how singular Q is locally w.r.t. P, and interestingly allows situations where transfer did not seem possible under previous insights. In fact, our new minimax analysis - in terms of $\gamma$ - reveals a continuum of regimes ranging from situations where target labels have little benefit, to regimes where target labels dramatically improve classification. We then show that a recently proposed semi-supervised procedure can be extended to adapt to unknown $\gamma$, and therefore requests labels only when beneficial, while achieving minimax transfer rates.
stat.ML cs.LG
we present new minimax results that concisely capture the relative benefits of source and target labeled data under covariateshift namely we show that the benefits of target labels are controlled by a transferexponent gamma that encodes how singular q is locally wrt p and interestingly allows situations where transfer did not seem possible under previous insights in fact our new minimax analysis in terms of gamma reveals a continuum of regimes ranging from situations where target labels have little benefit to regimes where target labels dramatically improve classification we then show that a recently proposed semisupervised procedure can be extended to adapt to unknown gamma and therefore requests labels only when beneficial while achieving minimax transfer rates
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1,803.01834
Conducting Credit Assignment by Aligning Local Representations
Using back-propagation and its variants to train deep networks is often problematic for new users. Issues such as exploding gradients, vanishing gradients, and high sensitivity to weight initialization strategies often make networks difficult to train, especially when users are experimenting with new architectures. Here, we present Local Representation Alignment (LRA), a training procedure that is much less sensitive to bad initializations, does not require modifications to the network architecture, and can be adapted to networks with highly nonlinear and discrete-valued activation functions. Furthermore, we show that one variation of LRA can start with a null initialization of network weights and still successfully train networks with a wide variety of nonlinearities, including tanh, ReLU-6, softplus, signum and others that may draw their inspiration from biology. A comprehensive set of experiments on MNIST and the much harder Fashion MNIST data sets show that LRA can be used to train networks robustly and effectively, succeeding even when back-propagation fails and outperforming other alternative learning algorithms, such as target propagation and feedback alignment.
cs.LG stat.ML
using backpropagation and its variants to train deep networks is often problematic for new users issues such as exploding gradients vanishing gradients and high sensitivity to weight initialization strategies often make networks difficult to train especially when users are experimenting with new architectures here we present local representation alignment lra a training procedure that is much less sensitive to bad initializations does not require modifications to the network architecture and can be adapted to networks with highly nonlinear and discretevalued activation functions furthermore we show that one variation of lra can start with a null initialization of network weights and still successfully train networks with a wide variety of nonlinearities including tanh relu6 softplus signum and others that may draw their inspiration from biology a comprehensive set of experiments on mnist and the much harder fashion mnist data sets show that lra can be used to train networks robustly and effectively succeeding even when backpropagation fails and outperforming other alternative learning algorithms such as target propagation and feedback alignment
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1,803.01835
Nonlocal operators with singular anisotropic kernels
We study nonlocal operators acting on functions in the Euclidean space. The operators under consideration generate anisotropic jump processes, e.g., a jump process that behaves like a stable process in each direction but with a different index of stability. Its generator is the sum of one-dimensional fractional Laplace operators with different orders of differentiability. We study such operators in the general framework of bounded measurable coefficients. We prove a weak Harnack inequality and H\"older regularity results for solutions to corresponding integro-differential equations.
math.AP
we study nonlocal operators acting on functions in the euclidean space the operators under consideration generate anisotropic jump processes eg a jump process that behaves like a stable process in each direction but with a different index of stability its generator is the sum of onedimensional fractional laplace operators with different orders of differentiability we study such operators in the general framework of bounded measurable coefficients we prove a weak harnack inequality and holder regularity results for solutions to corresponding integrodifferential equations
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1,803.01836
Phases of dense matter in compact stars
Formed in the aftermath of gravitational core-collapse supernova explosions, neutron stars are unique cosmic laboratories for probing the properties of matter under extreme conditions that cannot be reproduced in terrestrial laboratories. The interior of a neutron star, endowed with the highest magnetic fields known and with densities spanning about ten orders of magnitude from the surface to the centre, is predicted to exhibit various phases of dense strongly interacting matter, whose physics is reviewed in this chapter. The outer layers of a neutron star consist of a solid nuclear crust, permeated by a neutron ocean in its densest region, possibly on top of a nuclear "pasta" mantle. The properties of these layers and of the homogeneous isospin asymmetric nuclear matter beneath constituting the outer core may still be constrained by terrestrial experiments. The inner core of highly degenerate, strongly interacting matter poses a few puzzles and questions which are reviewed here together with perspectives for their resolution. Consequences of the dense-matter phases for observables such the neutron-star mass-radius relationship and the prospects to uncover their structure with modern observational programmes are touched upon.
nucl-th astro-ph.HE hep-ph
formed in the aftermath of gravitational corecollapse supernova explosions neutron stars are unique cosmic laboratories for probing the properties of matter under extreme conditions that cannot be reproduced in terrestrial laboratories the interior of a neutron star endowed with the highest magnetic fields known and with densities spanning about ten orders of magnitude from the surface to the centre is predicted to exhibit various phases of dense strongly interacting matter whose physics is reviewed in this chapter the outer layers of a neutron star consist of a solid nuclear crust permeated by a neutron ocean in its densest region possibly on top of a nuclear pasta mantle the properties of these layers and of the homogeneous isospin asymmetric nuclear matter beneath constituting the outer core may still be constrained by terrestrial experiments the inner core of highly degenerate strongly interacting matter poses a few puzzles and questions which are reviewed here together with perspectives for their resolution consequences of the densematter phases for observables such the neutronstar massradius relationship and the prospects to uncover their structure with modern observational programmes are touched upon
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1,803.01837
ST-GAN: Spatial Transformer Generative Adversarial Networks for Image Compositing
We address the problem of finding realistic geometric corrections to a foreground object such that it appears natural when composited into a background image. To achieve this, we propose a novel Generative Adversarial Network (GAN) architecture that utilizes Spatial Transformer Networks (STNs) as the generator, which we call Spatial Transformer GANs (ST-GANs). ST-GANs seek image realism by operating in the geometric warp parameter space. In particular, we exploit an iterative STN warping scheme and propose a sequential training strategy that achieves better results compared to naive training of a single generator. One of the key advantages of ST-GAN is its applicability to high-resolution images indirectly since the predicted warp parameters are transferable between reference frames. We demonstrate our approach in two applications: (1) visualizing how indoor furniture (e.g. from product images) might be perceived in a room, (2) hallucinating how accessories like glasses would look when matched with real portraits.
cs.CV cs.LG
we address the problem of finding realistic geometric corrections to a foreground object such that it appears natural when composited into a background image to achieve this we propose a novel generative adversarial network gan architecture that utilizes spatial transformer networks stns as the generator which we call spatial transformer gans stgans stgans seek image realism by operating in the geometric warp parameter space in particular we exploit an iterative stn warping scheme and propose a sequential training strategy that achieves better results compared to naive training of a single generator one of the key advantages of stgan is its applicability to highresolution images indirectly since the predicted warp parameters are transferable between reference frames we demonstrate our approach in two applications 1 visualizing how indoor furniture eg from product images might be perceived in a room 2 hallucinating how accessories like glasses would look when matched with real portraits
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1,803.01838
Deformation of the EPRL spin foam model by a cosmological constant
In this article, we consider an ad-hoc deformation of the EPRL model for quantum gravity by a cosmological constant term. This sort of deformation has been first introduced by Han for the case of the $4$-simplex. In this article, we generalise the deformation to the case of arbitrary vertices, and compute its large-$j$-asymptotics. We show that, if the boundary data corresponds to a $4d$ polyhedron $P$, then the asymptotic formula gives the usual Regge action plus a cosmological constant term. We pay particular attention to the determinant of the Hessian matrix, and show that it can be related to the one of the undeformed vertex.
gr-qc
in this article we consider an adhoc deformation of the eprl model for quantum gravity by a cosmological constant term this sort of deformation has been first introduced by han for the case of the 4simplex in this article we generalise the deformation to the case of arbitrary vertices and compute its largejasymptotics we show that if the boundary data corresponds to a 4d polyhedron p then the asymptotic formula gives the usual regge action plus a cosmological constant term we pay particular attention to the determinant of the hessian matrix and show that it can be related to the one of the undeformed vertex
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1,803.01839
Detection of [O III] at z~3: A Galaxy above the Main Sequence, Rapidly Assembling its Stellar Mass
We detect bright emission in the far infrared fine structure [O III] 88$\mu$m line from a strong lensing candidate galaxy, H-ATLAS J113526.3-014605, hereafter G12v2.43, at z=3.127, using the $\rm 2^{nd}$ generation Redshift (z) and Early Universe Spectrometer (ZEUS-2) at the Atacama Pathfinder Experiment Telescope (APEX). This is only the fifth detection of this far-IR line from a sub-millimeter galaxy at the epoch of galaxy assembly. The observed [O III] luminosity of $7.1\times10^{9}\,\rm(\frac{10}{\mu})\,\rm{L_{\odot}}\,$ likely arises from HII regions around massive stars, and the amount of Lyman continuum photons required to support the ionization indicate the presence of $(1.2-5.2)\times10^{6}\,\rm(\frac{10}{\mu})$ equivalent O5.5 or higher stars; where $\mu$ would be the lensing magnification factor. The observed line luminosity also requires a minimum mass of $\sim 2\times 10^{8}\,\rm(\frac{10}{\mu})\,\rm{M_{\odot}}\,$ in ionized gas, that is $0.33\%$ of the estimated total molecular gas mass of $6\times10^{10}\,\rm(\frac{10}{\mu})\,\rm{M_{\odot}}\,$. We compile multi-band photometry tracing rest-frame UV to millimeter continuum emission to further constrain the properties of this dusty high redshift star-forming galaxy. Via SED modeling we find G12v2.43 is forming stars at a rate of 916 $\rm(\frac{10}{\mu})\,\rm{M_{\odot}}\,\rm{yr^{-1}}$ and already has a stellar mass of $8\times 10^{10}\,\rm(\frac{10}{\mu})\,\rm{M_{\odot}}\,$. We also constrain the age of the current starburst to be $\leqslant$ 5 million years, making G12v2.43 a gas rich galaxy lying above the star-forming main sequence at z$\sim$3, undergoing a growth spurt and, could be on the main sequence within the derived gas depletion timescale of $\sim$66 million years.
astro-ph.GA astro-ph.CO
we detect bright emission in the far infrared fine structure o iii 88mum line from a strong lensing candidate galaxy hatlas j1135263014605 hereafter g12v243 at z3127 using the rm 2nd generation redshift z and early universe spectrometer zeus2 at the atacama pathfinder experiment telescope apex this is only the fifth detection of this farir line from a submillimeter galaxy at the epoch of galaxy assembly the observed o iii luminosity of 71times109rmfrac10murml_odot likely arises from hii regions around massive stars and the amount of lyman continuum photons required to support the ionization indicate the presence of 1252times106rmfrac10mu equivalent o55 or higher stars where mu would be the lensing magnification factor the observed line luminosity also requires a minimum mass of sim 2times 108rmfrac10murmm_odot in ionized gas that is 033 of the estimated total molecular gas mass of 6times1010rmfrac10murmm_odot we compile multiband photometry tracing restframe uv to millimeter continuum emission to further constrain the properties of this dusty high redshift starforming galaxy via sed modeling we find g12v243 is forming stars at a rate of 916 rmfrac10murmm_odotrmyr1 and already has a stellar mass of 8times 1010rmfrac10murmm_odot we also constrain the age of the current starburst to be leqslant 5 million years making g12v243 a gas rich galaxy lying above the starforming main sequence at zsim3 undergoing a growth spurt and could be on the main sequence within the derived gas depletion timescale of sim66 million years
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1,803.0184
TACO: Learning Task Decomposition via Temporal Alignment for Control
Many advanced Learning from Demonstration (LfD) methods consider the decomposition of complex, real-world tasks into simpler sub-tasks. By reusing the corresponding sub-policies within and between tasks, they provide training data for each policy from different high-level tasks and compose them to perform novel ones. Existing approaches to modular LfD focus either on learning a single high-level task or depend on domain knowledge and temporal segmentation. In contrast, we propose a weakly supervised, domain-agnostic approach based on task sketches, which include only the sequence of sub-tasks performed in each demonstration. Our approach simultaneously aligns the sketches with the observed demonstrations and learns the required sub-policies. This improves generalisation in comparison to separate optimisation procedures. We evaluate the approach on multiple domains, including a simulated 3D robot arm control task using purely image-based observations. The results show that our approach performs commensurately with fully supervised approaches, while requiring significantly less annotation effort.
cs.LG stat.ML
many advanced learning from demonstration lfd methods consider the decomposition of complex realworld tasks into simpler subtasks by reusing the corresponding subpolicies within and between tasks they provide training data for each policy from different highlevel tasks and compose them to perform novel ones existing approaches to modular lfd focus either on learning a single highlevel task or depend on domain knowledge and temporal segmentation in contrast we propose a weakly supervised domainagnostic approach based on task sketches which include only the sequence of subtasks performed in each demonstration our approach simultaneously aligns the sketches with the observed demonstrations and learns the required subpolicies this improves generalisation in comparison to separate optimisation procedures we evaluate the approach on multiple domains including a simulated 3d robot arm control task using purely imagebased observations the results show that our approach performs commensurately with fully supervised approaches while requiring significantly less annotation effort
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1,803.01841
Enhancement of Noisy Speech exploiting a Gaussian Modeling based Threshold and a PDF Dependent Thresholding Function
This paper presents a speech enhancement method, where an adaptive threshold is statistically determined based on Gaussian modeling of Teager energy (TE) operated perceptual wavelet packet (PWP) coefficients of noisy speech. In order to obtain an enhanced speech, the threshold thus derived is applied upon the PWP coefficients by employing a Gaussian pdf dependent custom thresholding function, which is designed based on a combination of modified hard and semisoft thresholding functions. The effectiveness of the proposed method is evaluated for car and multi-talker babble noise corrupted speech signals through performing extensive simulations using the NOIZEUS database. The proposed method is found to outperform some of the state-of-the-art speech enhancement methods not only at at high but also at low levels of SNRs in the sense of standard objective measures and subjective evaluations including formal listening tests.
eess.AS cs.SD
this paper presents a speech enhancement method where an adaptive threshold is statistically determined based on gaussian modeling of teager energy te operated perceptual wavelet packet pwp coefficients of noisy speech in order to obtain an enhanced speech the threshold thus derived is applied upon the pwp coefficients by employing a gaussian pdf dependent custom thresholding function which is designed based on a combination of modified hard and semisoft thresholding functions the effectiveness of the proposed method is evaluated for car and multitalker babble noise corrupted speech signals through performing extensive simulations using the noizeus database the proposed method is found to outperform some of the stateoftheart speech enhancement methods not only at at high but also at low levels of snrs in the sense of standard objective measures and subjective evaluations including formal listening tests
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1,803.01842
Towards Automatic & Personalised Mobile Health Interventions: An Interactive Machine Learning Perspective
Machine learning (ML) is the fastest growing field in computer science and healthcare, providing future benefits in improved medical diagnoses, disease analyses and prevention. In this paper, we introduce an application of interactive machine learning (iML) in a telemedicine system, to enable automatic and personalised interventions for lifestyle promotion. We first present the high level architecture of the system and the components forming the overall architecture. We then illustrate the interactive machine learning process design. Prediction models are expected to be trained through the participants' profiles, activity performance, and feedback from the caregiver. Finally, we show some preliminary results during the system implementation and discuss future directions. We envisage the proposed system to be digitally implemented, and behaviourally designed to promote healthy lifestyle and activities, and hence prevent users from the risk of chronic diseases.
cs.CY cs.AI cs.HC
machine learning ml is the fastest growing field in computer science and healthcare providing future benefits in improved medical diagnoses disease analyses and prevention in this paper we introduce an application of interactive machine learning iml in a telemedicine system to enable automatic and personalised interventions for lifestyle promotion we first present the high level architecture of the system and the components forming the overall architecture we then illustrate the interactive machine learning process design prediction models are expected to be trained through the participants profiles activity performance and feedback from the caregiver finally we show some preliminary results during the system implementation and discuss future directions we envisage the proposed system to be digitally implemented and behaviourally designed to promote healthy lifestyle and activities and hence prevent users from the risk of chronic diseases
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1,803.01843
Pathological Analysis of Stress Urinary Incontinence in Females using Artificial Neural Networks
Objectives: To mathematically investigate urethral pressure and influencing parameters of stress urinary incontinence (SUI) in women, with focus on the clinical aspects of the mathematical modeling. Method: Several patients' data are extracted from UPP and urodynamic documents and their relation and affinities are modeled using an artificial neural network (ANN) model. The studied parameter is urethral pressure as a function of two variables: the age of the patient and the position in which the pressure was measured across the urethra (normalized length). Results: The ANN-generated surface, showing the relation between the chosen parameters and the urethral pressure in the studied patients, is more efficient than the surface generated by conventional mathematical methods for clinical analysis, with multi-sample analysis being obtained. For example, in elderly people, there are many low-pressure zones throughout the urethra length, indicating that there is more incontinence in old age. Conclusion: The predictions of urethral pressure made by the trained neural network model in relation to the studied effective parameters can be used to build a medical assistance system in order to help clinicians diagnose urinary incontinence problems more efficiently.
physics.med-ph cs.LG
objectives to mathematically investigate urethral pressure and influencing parameters of stress urinary incontinence sui in women with focus on the clinical aspects of the mathematical modeling method several patients data are extracted from upp and urodynamic documents and their relation and affinities are modeled using an artificial neural network ann model the studied parameter is urethral pressure as a function of two variables the age of the patient and the position in which the pressure was measured across the urethra normalized length results the anngenerated surface showing the relation between the chosen parameters and the urethral pressure in the studied patients is more efficient than the surface generated by conventional mathematical methods for clinical analysis with multisample analysis being obtained for example in elderly people there are many lowpressure zones throughout the urethra length indicating that there is more incontinence in old age conclusion the predictions of urethral pressure made by the trained neural network model in relation to the studied effective parameters can be used to build a medical assistance system in order to help clinicians diagnose urinary incontinence problems more efficiently
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1,803.01844
Distal strongly ergodic actions
Let $\eta$ be an arbitrary countable ordinal. Using results of Bourgain and Gamburd on compact systems with spectral gap we show the existence of an action of the free group on three generators $F_3$ on a compact metric space $X$, admitting an invariant probability measure $\mu$, such that the resulting dynamical system $(X, \mu, F_3)$ is strongly ergodic and distal of rank $\eta$. In particular this shows that there is a $F_3$ system which is strongly ergodic but not compact. This result answers the open question whether such actions exist.
math.DS
let eta be an arbitrary countable ordinal using results of bourgain and gamburd on compact systems with spectral gap we show the existence of an action of the free group on three generators f_3 on a compact metric space x admitting an invariant probability measure mu such that the resulting dynamical system x mu f_3 is strongly ergodic and distal of rank eta in particular this shows that there is a f_3 system which is strongly ergodic but not compact this result answers the open question whether such actions exist
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1,803.01845
Polarization, Partisanship and Junk News Consumption over Social Media in the US
What kinds of social media users read junk news? We examine the distribution of the most significant sources of junk news in the three months before President Donald Trump first State of the Union Address. Drawing on a list of sources that consistently publish political news and information that is extremist, sensationalist, conspiratorial, masked commentary, fake news and other forms of junk news, we find that the distribution of such content is unevenly spread across the ideological spectrum. We demonstrate that (1) on Twitter, a network of Trump supporters shares the widest range of known junk news sources and circulates more junk news than all the other groups put together; (2) on Facebook, extreme hard right pages, distinct from Republican pages, share the widest range of known junk news sources and circulate more junk news than all the other audiences put together; (3) on average, the audiences for junk news on Twitter share a wider range of known junk news sources than audiences on Facebook public pages.
cs.SI
what kinds of social media users read junk news we examine the distribution of the most significant sources of junk news in the three months before president donald trump first state of the union address drawing on a list of sources that consistently publish political news and information that is extremist sensationalist conspiratorial masked commentary fake news and other forms of junk news we find that the distribution of such content is unevenly spread across the ideological spectrum we demonstrate that 1 on twitter a network of trump supporters shares the widest range of known junk news sources and circulates more junk news than all the other groups put together 2 on facebook extreme hard right pages distinct from republican pages share the widest range of known junk news sources and circulate more junk news than all the other audiences put together 3 on average the audiences for junk news on twitter share a wider range of known junk news sources than audiences on facebook public pages
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1,803.01846
Learning Sample-Efficient Target Reaching for Mobile Robots
In this paper, we propose a novel architecture and a self-supervised policy gradient algorithm, which employs unsupervised auxiliary tasks to enable a mobile robot to learn how to navigate to a given goal. The dependency on the global information is eliminated by providing only sparse range-finder measurements to the robot. The partially observable planning problem is addressed by splitting it into a hierarchical process. We use convolutional networks to plan locally, and a differentiable memory to provide information about past time steps in the trajectory. These modules, combined in our network architecture, produce globally consistent plans. The sparse reward problem is mitigated by our modified policy gradient algorithm. We model the robots uncertainty with unsupervised tasks to force exploration. The novel architecture we propose with the modified version of the policy gradient algorithm allows our robot to reach the goal in a sample efficient manner, which is orders of magnitude faster than the current state of the art policy gradient algorithm. Simulation and experimental results are provided to validate the proposed approach.
cs.RO
in this paper we propose a novel architecture and a selfsupervised policy gradient algorithm which employs unsupervised auxiliary tasks to enable a mobile robot to learn how to navigate to a given goal the dependency on the global information is eliminated by providing only sparse rangefinder measurements to the robot the partially observable planning problem is addressed by splitting it into a hierarchical process we use convolutional networks to plan locally and a differentiable memory to provide information about past time steps in the trajectory these modules combined in our network architecture produce globally consistent plans the sparse reward problem is mitigated by our modified policy gradient algorithm we model the robots uncertainty with unsupervised tasks to force exploration the novel architecture we propose with the modified version of the policy gradient algorithm allows our robot to reach the goal in a sample efficient manner which is orders of magnitude faster than the current state of the art policy gradient algorithm simulation and experimental results are provided to validate the proposed approach
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1,803.01847
Midlatitude ionospheric F2-layer response to eruptive solar events-caused geomagnetic disturbances over Hungary during the maximum of the solar cycle 24: a case study
In our study we analyze and compare the response and behavior of the ionospheric F2 and of the sporadic E-layer during three strong (i.e., Dst <-100nT) individual geomagnetic storms from years 2012, 2013 and 2015, winter time period. The data was provided by the state-of the art digital ionosonde of the Sz\'echenyi Istv\'an Geophysical Observatory located at midlatitude, Nagycenk, Hungary (IAGA code: NCK, geomagnetic lat.: 46,17{\deg} geomagnetic long.: 98,85{\deg}). The local time of the sudden commencement (SC) was used to characterize the type of the ionospheric storm (after Mendillo and Narvaez, 2010). This way two regular positive phase (RPP) ionospheric storms and one no-positive phase (NPP) storm have been analyzed. In all three cases a significant increase in electron density of the foF2 layer can be observed at dawn/early morning (around 6:00 UT, 07:00 LT). Also we can observe the fade-out of the ionospheric layers at night during the geomagnetically disturbed time periods. Our results suggest that the fade-out effect is not connected to the occurrence of the sporadic E-layers.
physics.space-ph
in our study we analyze and compare the response and behavior of the ionospheric f2 and of the sporadic elayer during three strong ie dst 100nt individual geomagnetic storms from years 2012 2013 and 2015 winter time period the data was provided by the stateof the art digital ionosonde of the szechenyi istvan geophysical observatory located at midlatitude nagycenk hungary iaga code nck geomagnetic lat 4617deg geomagnetic long 9885deg the local time of the sudden commencement sc was used to characterize the type of the ionospheric storm after mendillo and narvaez 2010 this way two regular positive phase rpp ionospheric storms and one nopositive phase npp storm have been analyzed in all three cases a significant increase in electron density of the fof2 layer can be observed at dawnearly morning around 600 ut 0700 lt also we can observe the fadeout of the ionospheric layers at night during the geomagnetically disturbed time periods our results suggest that the fadeout effect is not connected to the occurrence of the sporadic elayers
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1,803.01848
AspEm: Embedding Learning by Aspects in Heterogeneous Information Networks
Heterogeneous information networks (HINs) are ubiquitous in real-world applications. Due to the heterogeneity in HINs, the typed edges may not fully align with each other. In order to capture the semantic subtlety, we propose the concept of aspects with each aspect being a unit representing one underlying semantic facet. Meanwhile, network embedding has emerged as a powerful method for learning network representation, where the learned embedding can be used as features in various downstream applications. Therefore, we are motivated to propose a novel embedding learning framework---AspEm---to preserve the semantic information in HINs based on multiple aspects. Instead of preserving information of the network in one semantic space, AspEm encapsulates information regarding each aspect individually. In order to select aspects for embedding purpose, we further devise a solution for AspEm based on dataset-wide statistics. To corroborate the efficacy of AspEm, we conducted experiments on two real-words datasets with two types of applications---classification and link prediction. Experiment results demonstrate that AspEm can outperform baseline network embedding learning methods by considering multiple aspects, where the aspects can be selected from the given HIN in an unsupervised manner.
cs.SI cs.LG
heterogeneous information networks hins are ubiquitous in realworld applications due to the heterogeneity in hins the typed edges may not fully align with each other in order to capture the semantic subtlety we propose the concept of aspects with each aspect being a unit representing one underlying semantic facet meanwhile network embedding has emerged as a powerful method for learning network representation where the learned embedding can be used as features in various downstream applications therefore we are motivated to propose a novel embedding learning frameworkaspemto preserve the semantic information in hins based on multiple aspects instead of preserving information of the network in one semantic space aspem encapsulates information regarding each aspect individually in order to select aspects for embedding purpose we further devise a solution for aspem based on datasetwide statistics to corroborate the efficacy of aspem we conducted experiments on two realwords datasets with two types of applicationsclassification and link prediction experiment results demonstrate that aspem can outperform baseline network embedding learning methods by considering multiple aspects where the aspects can be selected from the given hin in an unsupervised manner
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1,803.01849
The radial acceleration relation is a natural consequence of the baryonic Tully-Fisher relation
Galaxies covering several orders of magnitude in stellar mass and a variety of Hubble types have been shown to follow the "Radial Acceleration Relation" (RAR), a relationship between $g_{\rm obs}$, the observed circular acceleration of the galaxy, and $g_{\rm bar}$, the acceleration due to the total baryonic mass of the galaxy. For accelerations above $10^{10}~{\rm m \, s}^{-2}$, $g_{\rm obs}$ traces $g_{\rm bar}$, asymptoting to the 1:1 line. Below this scale, there is a break in the relation such that $\rm g_{\rm obs} \sim g_{\rm bar}^{1/2}$. We show that the RAR slope, scatter and the acceleration scale are all natural consequences of the well-known baryonic Tully-Fisher relation (BTFR). We further demonstrate that galaxies with a variety of baryonic and dark matter (DM) profiles and a wide range of dark halo and galaxy properties (well beyond those expected in CDM) lie on the RAR if we simply require that their rotation curves satisfy the BTFR. We explore conditions needed to break this degeneracy: sub-kpc resolved rotation curves inside of "cored" DM-dominated profiles and/or outside $\gg 100\,$kpc could lie on BTFR but deviate in the RAR, providing new constraints on DM.
astro-ph.GA
galaxies covering several orders of magnitude in stellar mass and a variety of hubble types have been shown to follow the radial acceleration relation rar a relationship between g_rm obs the observed circular acceleration of the galaxy and g_rm bar the acceleration due to the total baryonic mass of the galaxy for accelerations above 1010rm m s2 g_rm obs traces g_rm bar asymptoting to the 11 line below this scale there is a break in the relation such that rm g_rm obs sim g_rm bar12 we show that the rar slope scatter and the acceleration scale are all natural consequences of the wellknown baryonic tullyfisher relation btfr we further demonstrate that galaxies with a variety of baryonic and dark matter dm profiles and a wide range of dark halo and galaxy properties well beyond those expected in cdm lie on the rar if we simply require that their rotation curves satisfy the btfr we explore conditions needed to break this degeneracy subkpc resolved rotation curves inside of cored dmdominated profiles andor outside gg 100kpc could lie on btfr but deviate in the rar providing new constraints on dm
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1,803.0185
A general theory for the lifetimes of giant molecular clouds under the influence of galactic dynamics
We propose a simple analytic theory for environmentally-dependent molecular cloud lifetimes, based on the large-scale (galactic) dynamics of the interstellar medium. Within this theory, the cloud lifetime is set by the time-scales for gravitational collapse, galactic shear, spiral arm interactions, epicyclic perturbations and cloud-cloud collisions. It is dependent on five observable quantities, accessible through measurements of the galactic rotation curve, the gas and stellar surface densities, and the gas and stellar velocity dispersions of the host galaxy. We determine how the relative importance of each dynamical mechanism varies throughout the space of observable galactic properties, and conclude that gravitational collapse and galactic shear play the greatest role in setting the cloud lifetime for the considered range of galaxy properties, while cloud-cloud collisions exert a much lesser influence. All five environmental mechanisms are nevertheless required to obtain a complete picture of cloud evolution. We apply our theory to the galaxies M31, M51, M83, and the Milky Way, and find a strong dependence of the cloud lifetime upon galactocentric radius in each case, with a typical cloud lifetime between 10 and 50 Myr. Our theory is ideally-suited for systematic observational tests with the Atacama Large Millimetre/submillimetre array.
astro-ph.GA
we propose a simple analytic theory for environmentallydependent molecular cloud lifetimes based on the largescale galactic dynamics of the interstellar medium within this theory the cloud lifetime is set by the timescales for gravitational collapse galactic shear spiral arm interactions epicyclic perturbations and cloudcloud collisions it is dependent on five observable quantities accessible through measurements of the galactic rotation curve the gas and stellar surface densities and the gas and stellar velocity dispersions of the host galaxy we determine how the relative importance of each dynamical mechanism varies throughout the space of observable galactic properties and conclude that gravitational collapse and galactic shear play the greatest role in setting the cloud lifetime for the considered range of galaxy properties while cloudcloud collisions exert a much lesser influence all five environmental mechanisms are nevertheless required to obtain a complete picture of cloud evolution we apply our theory to the galaxies m31 m51 m83 and the milky way and find a strong dependence of the cloud lifetime upon galactocentric radius in each case with a typical cloud lifetime between 10 and 50 myr our theory is ideallysuited for systematic observational tests with the atacama large millimetresubmillimetre array
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1,803.01851
Cosmological constraints from the redshift dependence of the Alcock-Paczynski effect: Dynamical dark energy
We perform an anisotropic clustering analysis of 1,133,326 galaxies from the Sloan Digital Sky Survey (SDSS-III) Baryon Oscillation Spectroscopic Survey (BOSS) Data Release (DR) 12 covering the redshift range $0.15<z<0.69$. The geometrical distortions of the galaxy positions, caused by incorrect cosmological model assumptions, are captured in the anisotropic two-point correlation function on scales 6 -- 40 $h^{-1}\rm Mpc$. The redshift evolution of this anisotropic clustering is used to place constraints on the cosmological parameters. We improve the methodology of Li et al. 2016, to enable efficient exploration of high dimensional cosmological parameter spaces, and apply it to the Chevallier-Polarski-Linder parametrization of dark energy, $w=w_0+w_a{z}/({1+z})$. In combination with the CMB, BAO, SNIa and $H_0$ from Cepheid data, we obtain $\Omega_m = 0.301 \pm 0.008,\ w_0 = -1.042 \pm 0.067,\ $ and $w_a = -0.07 \pm 0.29$ (68.3\% CL). Adding our new AP measurements to the aforementioned results reduces the error bars by $\sim$30 -- 40\% and improves the dark energy figure of merit by a factor of $\sim$2. We check the robustness of the results using realistic mock galaxy catalogues.
astro-ph.CO
we perform an anisotropic clustering analysis of 1133326 galaxies from the sloan digital sky survey sdssiii baryon oscillation spectroscopic survey boss data release dr 12 covering the redshift range 015z069 the geometrical distortions of the galaxy positions caused by incorrect cosmological model assumptions are captured in the anisotropic twopoint correlation function on scales 6 40 h1rm mpc the redshift evolution of this anisotropic clustering is used to place constraints on the cosmological parameters we improve the methodology of li et al 2016 to enable efficient exploration of high dimensional cosmological parameter spaces and apply it to the chevallierpolarskilinder parametrization of dark energy ww_0w_az1z in combination with the cmb bao snia and h_0 from cepheid data we obtain omega_m 0301 pm 0008 w_0 1042 pm 0067 and w_a 007 pm 029 683 cl adding our new ap measurements to the aforementioned results reduces the error bars by sim30 40 and improves the dark energy figure of merit by a factor of sim2 we check the robustness of the results using realistic mock galaxy catalogues
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1,803.01852
Metal Deficiency in Two Massive Dead Galaxies at $z\sim2$
Local massive early-type galaxies are believed to have completed most of their star formation $\sim10$Gyr ago and evolved without having substantial star formation since. If so, their progenitors should have roughly solar stellar metallicities ($Z_*$), comparable to their values today. We report the discovery of two lensed massive ($\log M_*/M_\odot\sim11$), $z\sim2.2$ dead galaxies, that appear markedly metal deficient given this scenario. Using 17-band $HST$+$K_{s}$+$Spitzer$ photometry and deep $HST$ grism spectra from the GLASS and SN Refsdal follow-up campaigns covering features near $\lambda_{\rm rest}\sim4000$\AA, we find these systems to be dominated by A-type stars with $\log Z_*/Z_\odot=-0.40\pm0.02$ and $-0.49\pm0.03$ ($30$-$40\%$ solar) under standard assumptions. The second system's lower metallicity is robust to isochrone changes, though this choice can drive the first system's from $\log Z_*/Z_\odot=-0.6$ to 0.1. If these two galaxies are representative of larger samples, this finding suggests that evolutionary paths other than dry minor-merging are required for these massive galaxies. Future analyses with direct metallicity measurements-e.g., by the $James\ Webb\ Space\ Telescope$-will provide critical insight into the nature of such phenomena.
astro-ph.GA
local massive earlytype galaxies are believed to have completed most of their star formation sim10gyr ago and evolved without having substantial star formation since if so their progenitors should have roughly solar stellar metallicities z_ comparable to their values today we report the discovery of two lensed massive log m_m_odotsim11 zsim22 dead galaxies that appear markedly metal deficient given this scenario using 17band hstk_sspitzer photometry and deep hst grism spectra from the glass and sn refsdal followup campaigns covering features near lambda_rm restsim4000aa we find these systems to be dominated by atype stars with log z_z_odot040pm002 and 049pm003 3040 solar under standard assumptions the second systems lower metallicity is robust to isochrone changes though this choice can drive the first systems from log z_z_odot06 to 01 if these two galaxies are representative of larger samples this finding suggests that evolutionary paths other than dry minormerging are required for these massive galaxies future analyses with direct metallicity measurementseg by the james webb space telescopewill provide critical insight into the nature of such phenomena
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1,803.01853
Update of the global electroweak fit and constraints on two-Higgs-doublet models
We present an update of the global fit of the Standard Model electroweak sector to latest experimental results. We include new kinematic top quark and $W$ boson mass measurements from the LHC, a $\sin^2\theta^{\ell}_{\mathrm{eff}}$ result from the Tevatron, and a new evaluation of the hadronic contribution to $\alpha(M_Z^2)$. We present tests of the internal consistency of the electroweak Standard Model and updated numerical predictions of key observables. The electroweak data combined with measurements of the Higgs boson coupling strengths and flavour physics observables are used to constrain parameters of two-Higgs-doublet models.
hep-ph hep-ex
we present an update of the global fit of the standard model electroweak sector to latest experimental results we include new kinematic top quark and w boson mass measurements from the lhc a sin2thetaell_mathrmeff result from the tevatron and a new evaluation of the hadronic contribution to alpham_z2 we present tests of the internal consistency of the electroweak standard model and updated numerical predictions of key observables the electroweak data combined with measurements of the higgs boson coupling strengths and flavour physics observables are used to constrain parameters of twohiggsdoublet models
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1,803.01854
Hour time-scale QPOs in the X-ray and radio emission of LS I +61$^{\circ}$303
LS I +61$^{\circ}$303 is an X-ray binary with a radio outburst every ~27 days. Previous studies of the stellar system revealed radio microflares superimposed on the large radio outburst. We present here new radio observations of LS I +61$^{\circ}$303 at 2.2 GHz with the Westerbork Synthesis Radio Telescope (WSRT). Using various timing analysis methods we find significant Quasi-Periodic Oscillations (QPOs) of 55 minutes stable over the duration of 4 days. We also use archival data obtained from the Suzaku satellite at X-ray wavelengths. We report here for the first time significant X-ray QPOs of about 2 hours present over the time span of 21 hours. We compare our results with the previously reported QPO observations and we conclude that the QPOs seem to be associated with the radio outburst, independent of the amplitude of the outburst. Finally, the different QPO time-scales are discussed in the context of magnetic reconnection.
astro-ph.HE
ls i 61circ303 is an xray binary with a radio outburst every 27 days previous studies of the stellar system revealed radio microflares superimposed on the large radio outburst we present here new radio observations of ls i 61circ303 at 22 ghz with the westerbork synthesis radio telescope wsrt using various timing analysis methods we find significant quasiperiodic oscillations qpos of 55 minutes stable over the duration of 4 days we also use archival data obtained from the suzaku satellite at xray wavelengths we report here for the first time significant xray qpos of about 2 hours present over the time span of 21 hours we compare our results with the previously reported qpo observations and we conclude that the qpos seem to be associated with the radio outburst independent of the amplitude of the outburst finally the different qpo timescales are discussed in the context of magnetic reconnection
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1,803.01855
Revealing the Warm and Hot Halo Baryons via Thomson Scattering of Quasar Light
The baryonic content and physical properties of the warm and hot ($10^5\lesssim T\lesssim 10^7$ K) phases of the circumgalactic medium (CGM) are poorly constrained, owing to the lack of observables probing the requisite range of temperature, spatial scale, halo mass, and redshift. The radiation from a luminous quasar produces a spatially extended emission halo resulting from Thomson scattering off of free electrons in the CGM, which can be used to measure the electron density profile, and therefore, the amount of warm and hot baryonic matter present. We predict the resulting surface brightness profiles and show that they are easily detectable in a three hour integration with the James Webb Space Telescope (JWST), out to $\sim 100$ physical kpc from the centers of individual hyper-luminous quasars. This electron scattering surface brightness is redshift independent, and the signal-to-noise ratio depends only very weakly on redshift, in principle allowing measurements of the warm and hot CGM into the Epoch of Reionization at $z\sim 6.5$. We consider a litany of potential contaminants, and find that for fainter quasars at $z\lesssim1$, extended stellar halos might be of comparable surface brightness. At $z>2$, JWST mid-IR observations start to probe rest-frame optical/UV wavelengths implying that scattering by dust grains in the CGM becomes significant, although multi-color observations should be able to distinguish these scenarios given that Thomson scattering is achromatic.
astro-ph.GA
the baryonic content and physical properties of the warm and hot 105lesssim tlesssim 107 k phases of the circumgalactic medium cgm are poorly constrained owing to the lack of observables probing the requisite range of temperature spatial scale halo mass and redshift the radiation from a luminous quasar produces a spatially extended emission halo resulting from thomson scattering off of free electrons in the cgm which can be used to measure the electron density profile and therefore the amount of warm and hot baryonic matter present we predict the resulting surface brightness profiles and show that they are easily detectable in a three hour integration with the james webb space telescope jwst out to sim 100 physical kpc from the centers of individual hyperluminous quasars this electron scattering surface brightness is redshift independent and the signaltonoise ratio depends only very weakly on redshift in principle allowing measurements of the warm and hot cgm into the epoch of reionization at zsim 65 we consider a litany of potential contaminants and find that for fainter quasars at zlesssim1 extended stellar halos might be of comparable surface brightness at z2 jwst midir observations start to probe restframe opticaluv wavelengths implying that scattering by dust grains in the cgm becomes significant although multicolor observations should be able to distinguish these scenarios given that thomson scattering is achromatic
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1,803.01856
The origin of the structure of large-scale magnetic fields in disc galaxies
The large-scale magnetic fields observed in spiral disc galaxies are often thought to result from dynamo action in the disc plane. However, the increasing importance of Faraday depolarization along any line of sight towards the galactic plane suggests that the strongest polarization signal may come from well above (~0.3-1 kpc) this plane, from the vicinity of the warm interstellar medium (WIM)/halo interface. We propose (see also Henriksen & Irwin 2016) that the observed spiral fields (polarization patterns) result from the action of vertical shear on an initially poloidal field. We show that this simple model accounts for the main observed properties of large-scale fields. We speculate as to how current models of optical spiral structure may generate the observed arm/interarm spiral polarization patterns.
astro-ph.GA
the largescale magnetic fields observed in spiral disc galaxies are often thought to result from dynamo action in the disc plane however the increasing importance of faraday depolarization along any line of sight towards the galactic plane suggests that the strongest polarization signal may come from well above 031 kpc this plane from the vicinity of the warm interstellar medium wimhalo interface we propose see also henriksen irwin 2016 that the observed spiral fields polarization patterns result from the action of vertical shear on an initially poloidal field we show that this simple model accounts for the main observed properties of largescale fields we speculate as to how current models of optical spiral structure may generate the observed arminterarm spiral polarization patterns
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1,803.01857
Universal Quantum Control through Deep Reinforcement Learning
Emerging reinforcement learning techniques using deep neural networks have shown great promise in control optimization. They harness non-local regularities of noisy control trajectories and facilitate transfer learning between tasks. To leverage these powerful capabilities for quantum control optimization, we propose a new control framework to simultaneously optimize the speed and fidelity of quantum computation against both leakage and stochastic control errors. For a broad family of two-qubit unitary gates that are important for quantum simulation of many-electron systems, we improve the control robustness by adding control noise into training environments for reinforcement learning agents trained with trusted-region-policy-optimization. The agent control solutions demonstrate a two-order-of-magnitude reduction in average-gate-error over baseline stochastic-gradient-descent solutions and up to a one-order-of-magnitude reduction in gate time from optimal gate synthesis counterparts.
quant-ph math.OC
emerging reinforcement learning techniques using deep neural networks have shown great promise in control optimization they harness nonlocal regularities of noisy control trajectories and facilitate transfer learning between tasks to leverage these powerful capabilities for quantum control optimization we propose a new control framework to simultaneously optimize the speed and fidelity of quantum computation against both leakage and stochastic control errors for a broad family of twoqubit unitary gates that are important for quantum simulation of manyelectron systems we improve the control robustness by adding control noise into training environments for reinforcement learning agents trained with trustedregionpolicyoptimization the agent control solutions demonstrate a twoorderofmagnitude reduction in averagegateerror over baseline stochasticgradientdescent solutions and up to a oneorderofmagnitude reduction in gate time from optimal gate synthesis counterparts
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1,803.01858
Inflationary vs. Reionization Features from Planck 2015 Data
Features during inflation and reionization leave corresponding features in the temperature and polarization power spectra that could potentially explain anomalies in the Planck 2015 data but require a joint analysis to disentangle. We study the interplay between these two effects using a model-independent parametrization of the inflationary power spectrum and the ionization history. Preference for a sharp suppression of large scale power is driven by a feature in the temperature power spectrum at multipoles $\ell \sim 20$, whereas preference for a component of high redshift ionization is driven by a sharp excess of polarization power at $\ell \sim 10$ when compared with the lowest multipoles. Marginalizing inflationary freedom does not weaken the preference for $z \gtrsim 10$ ionization, whereas marginalizing reionization freedom slightly enhances the preference for an inflationary feature but can also mask its direct signature in polarization. The inflation and reionization interpretation of these features makes predictions for the polarization spectrum which can be tested in future precision measurements especially at $10\lesssim \ell \lesssim 40$.
astro-ph.CO
features during inflation and reionization leave corresponding features in the temperature and polarization power spectra that could potentially explain anomalies in the planck 2015 data but require a joint analysis to disentangle we study the interplay between these two effects using a modelindependent parametrization of the inflationary power spectrum and the ionization history preference for a sharp suppression of large scale power is driven by a feature in the temperature power spectrum at multipoles ell sim 20 whereas preference for a component of high redshift ionization is driven by a sharp excess of polarization power at ell sim 10 when compared with the lowest multipoles marginalizing inflationary freedom does not weaken the preference for z gtrsim 10 ionization whereas marginalizing reionization freedom slightly enhances the preference for an inflationary feature but can also mask its direct signature in polarization the inflation and reionization interpretation of these features makes predictions for the polarization spectrum which can be tested in future precision measurements especially at 10lesssim ell lesssim 40
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1,803.01859
Photospheric observations of surface and body modes in solar magnetic pores
Over the past number of years, great strides have been made in identifying the various low-order magnetohydrodynamic wave modes observable in a number of magnetic structures found within the solar atmosphere. However, one aspect of these modes that has remained elusive, until now, is their designation as either surface or body modes. This property has significant implications on how these modes transfer energy from the waveguide to the surrounding plasma. Here, for the first time to our knowledge, we present conclusive, direct evidence of these wave characteristics in numerous pores which were observed to support sausage modes. As well as outlining methods to detect these modes in observations, we make estimates of the energies associated with each mode. We find surface modes more frequently in the data, and also that surface modes appear to carry more energy than those displaying signatures of body modes. We find frequencies in the range of ~2 to 12 mHz with body modes as high as 11 mHz, but we do not find surface modes above 10 mHz. It is expected that the techniques we have applied will help researchers search for surface and body signatures in other modes and in differing structures to those presented here.
astro-ph.SR
over the past number of years great strides have been made in identifying the various loworder magnetohydrodynamic wave modes observable in a number of magnetic structures found within the solar atmosphere however one aspect of these modes that has remained elusive until now is their designation as either surface or body modes this property has significant implications on how these modes transfer energy from the waveguide to the surrounding plasma here for the first time to our knowledge we present conclusive direct evidence of these wave characteristics in numerous pores which were observed to support sausage modes as well as outlining methods to detect these modes in observations we make estimates of the energies associated with each mode we find surface modes more frequently in the data and also that surface modes appear to carry more energy than those displaying signatures of body modes we find frequencies in the range of 2 to 12 mhz with body modes as high as 11 mhz but we do not find surface modes above 10 mhz it is expected that the techniques we have applied will help researchers search for surface and body signatures in other modes and in differing structures to those presented here
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1,803.0186
Rotation curves of galaxies and the stellar mass-to-light ratio
Mass models of a sample of 171 low- and high-surface brightness galaxies are presented in the context of the cold dark matter (CDM) theory using the NFW dark matter halo density distribution to extract a new concentration-viral mass relation ($c-M_{vir}$). The rotation curves (RCs) are calculated from the total baryonic matter based on the 3.6 $\mu m $-band surface photometry, the observed distribution of neutral hydrogen, and the dark halo, in which the three adjustable parameters are the stellar mass-to-light ratio, halo concentration and virial mass. Although accounting for a NFW dark halo profile can explain rotation curve observations, the implied $c-M_{vir}$ relation from RC analysis strongly disagrees with that resulting from different cosmological simulations. Also, the $M/L-$color correlation of the studied galaxies is inconsistent with that expected from stellar population synthesis models with different stellar initial mass functions. Moreover, we show that the best-fitting stellar $M/L-$ ratios of 51 galaxies (30\% of our sample) have unphysically negative values in the framework of the $\Lambda $CDM theory. This can be interpreted as a serious crisis for this theory. This suggests either that the commonly used NFW halo profile, which is a natural result of $\Lambda $CDM cosmological structure formation, is not an appropriate profile for the dark halos of galaxies, or, new dark matter physics or alternative gravity models are needed to explain the rotational velocities of disk galaxies.
astro-ph.GA
mass models of a sample of 171 low and highsurface brightness galaxies are presented in the context of the cold dark matter cdm theory using the nfw dark matter halo density distribution to extract a new concentrationviral mass relation cm_vir the rotation curves rcs are calculated from the total baryonic matter based on the 36 mu m band surface photometry the observed distribution of neutral hydrogen and the dark halo in which the three adjustable parameters are the stellar masstolight ratio halo concentration and virial mass although accounting for a nfw dark halo profile can explain rotation curve observations the implied cm_vir relation from rc analysis strongly disagrees with that resulting from different cosmological simulations also the mlcolor correlation of the studied galaxies is inconsistent with that expected from stellar population synthesis models with different stellar initial mass functions moreover we show that the bestfitting stellar ml ratios of 51 galaxies 30 of our sample have unphysically negative values in the framework of the lambda cdm theory this can be interpreted as a serious crisis for this theory this suggests either that the commonly used nfw halo profile which is a natural result of lambda cdm cosmological structure formation is not an appropriate profile for the dark halos of galaxies or new dark matter physics or alternative gravity models are needed to explain the rotational velocities of disk galaxies
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1,803.01861
Subaru High-z Exploration of Low-Luminosity Quasars (SHELLQs). IV. Discovery of 41 Quasars and Luminous Galaxies at 5.7 < z < 6.9
We report discovery of 41 new high-z quasars and luminous galaxies, which were spectroscopically identified at 5.7 < z < 6.9. This is the fourth in a series of papers from the Subaru High-z Exploration of Low-Luminosity Quasars (SHELLQs) project, based on the deep multi-band imaging data collected by the Hyper Suprime-Cam (HSC) Subaru Strategic Program survey. We selected the photometric candidates by a Bayesian probabilistic algorithm, and then carried out follow-up spectroscopy with the Gran Telescopio Canarias and the Subaru Telescope. Combined with the sample presented in the previous papers, we have now spectroscopically identified 137 extremely-red HSC sources over about 650 deg2, which include 64 high-z quasars, 24 high-z luminous galaxies, 6 [O III] emitters at z ~ 0.8, and 43 Galactic cool dwarfs (low-mass stars and brown dwarfs). The new quasars span the luminosity range from M1450 ~ -26 to -22 mag, and continue to populate a few magnitude lower luminosities than have been probed by previous wide-field surveys. In a companion paper, we derive the quasar luminosity function at z ~ 6 over an unprecedentedly wide range of M1450 ~ -28 to -21 mag, exploiting the SHELLQs and other survey outcomes.
astro-ph.GA
we report discovery of 41 new highz quasars and luminous galaxies which were spectroscopically identified at 57 z 69 this is the fourth in a series of papers from the subaru highz exploration of lowluminosity quasars shellqs project based on the deep multiband imaging data collected by the hyper suprimecam hsc subaru strategic program survey we selected the photometric candidates by a bayesian probabilistic algorithm and then carried out followup spectroscopy with the gran telescopio canarias and the subaru telescope combined with the sample presented in the previous papers we have now spectroscopically identified 137 extremelyred hsc sources over about 650 deg2 which include 64 highz quasars 24 highz luminous galaxies 6 o iii emitters at z 08 and 43 galactic cool dwarfs lowmass stars and brown dwarfs the new quasars span the luminosity range from m1450 26 to 22 mag and continue to populate a few magnitude lower luminosities than have been probed by previous widefield surveys in a companion paper we derive the quasar luminosity function at z 6 over an unprecedentedly wide range of m1450 28 to 21 mag exploiting the shellqs and other survey outcomes
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1,803.01862
Dilatonic Imprints on Exact Gravitational Wave Signatures
By employing the moduli space approximation, we analytically calculate the gravitational wave signatures emitted upon the merger of two extremally charged dilatonic black holes. We probe several values of the dilatonic coupling constant $a$, and find significant departures from the Einstein--Maxwell ($a=0$) counterpart studied in arXiv:1704.08520. For (low energy) string theory black holes $(a=1)$ there are no coalescence orbits and only a memory effect is observed, whereas for an intermediate value of the coupling $(a=1/\sqrt{3})$ the late-time merger signature becomes exponentially suppressed, compared to the polynomial decay in the $a=0$ case without a dilaton. Such an imprint is in principle observable and could reveal the presence of a scalar field (as for example predicted by string theory) in black hole mergers.
gr-qc hep-th
by employing the moduli space approximation we analytically calculate the gravitational wave signatures emitted upon the merger of two extremally charged dilatonic black holes we probe several values of the dilatonic coupling constant a and find significant departures from the einsteinmaxwell a0 counterpart studied in arxiv170408520 for low energy string theory black holes a1 there are no coalescence orbits and only a memory effect is observed whereas for an intermediate value of the coupling a1sqrt3 the latetime merger signature becomes exponentially suppressed compared to the polynomial decay in the a0 case without a dilaton such an imprint is in principle observable and could reveal the presence of a scalar field as for example predicted by string theory in black hole mergers
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1,803.01863
Black hole microstates and supersymmetric localization
This thesis focuses mainly on understanding the origin of the Bekenstein-Hawking entropy for a class of four- and five-dimensional BPS black holes in string/M-theory. To this aim, important ingredients are holography and supersymmetric localization. Using the method of supersymmetric localization, the Euclidean path integrals for supersymmetric field theories on $\Sigma_\mathfrak{g} \times T^{n}$ $(n=1,2)$, with at least four real supercharges, can be reduced to a matrix integral that depends on background magnetic fluxes and chemical potentials for the global symmetries of the theory. This defines the topologically twisted index which, upon extremization with respect to the chemical potentials, is conjectured to reproduce the entropy of magnetically charged static BPS AdS$_{4/5}$ black holes/strings. We solve a number of such matrix models both in three and four dimensions and provide general formulae in the large $N$ limit. We then use these results to provide the microscopic realization of the entropy of a class of BPS black holes in $\mathcal{N}=2$ gauged supergravity. Finally, inspired by our previous results, we put forward an extremization principle for reproducing the Bekenstein-Hawking entropy of a class of BPS electrically charged rotating black holes in AdS$_5\times S^5$.
hep-th
this thesis focuses mainly on understanding the origin of the bekensteinhawking entropy for a class of four and fivedimensional bps black holes in stringmtheory to this aim important ingredients are holography and supersymmetric localization using the method of supersymmetric localization the euclidean path integrals for supersymmetric field theories on sigma_mathfrakg times tn n12 with at least four real supercharges can be reduced to a matrix integral that depends on background magnetic fluxes and chemical potentials for the global symmetries of the theory this defines the topologically twisted index which upon extremization with respect to the chemical potentials is conjectured to reproduce the entropy of magnetically charged static bps ads_45 black holesstrings we solve a number of such matrix models both in three and four dimensions and provide general formulae in the large n limit we then use these results to provide the microscopic realization of the entropy of a class of bps black holes in mathcaln2 gauged supergravity finally inspired by our previous results we put forward an extremization principle for reproducing the bekensteinhawking entropy of a class of bps electrically charged rotating black holes in ads_5times s5
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1,803.01864
Mott transition with Holographic Spectral function
We show that the Mott transition can be realized in a holographic model of a fermion with bulk mass, $m$, and a dipole interaction of coupling strength $p$. The phase diagram contains gapless, pseudo-gap and gapped phases and the first one can be further divided into four sub-classes. We compare the spectral densities of our holographic model with the Dynamical Mean Field Theory (DMFT) results for Hubbard model as well as the experimental data of Vanadium Oxide materials. Interestingly, single-site and cluster DMFT results of Hubbard model share some similarities with the holographic model of different parameters, although the spectral functions are quite different due to the asymmetry in the holography part. The theory can fit the X-ray absorption spectrum (XAS) data quite well, but once the theory parameters are fixed with the former it can fit the photoelectric emission spectrum (PES) data only if we symmetrize the spectral function.
hep-th cond-mat.str-el
we show that the mott transition can be realized in a holographic model of a fermion with bulk mass m and a dipole interaction of coupling strength p the phase diagram contains gapless pseudogap and gapped phases and the first one can be further divided into four subclasses we compare the spectral densities of our holographic model with the dynamical mean field theory dmft results for hubbard model as well as the experimental data of vanadium oxide materials interestingly singlesite and cluster dmft results of hubbard model share some similarities with the holographic model of different parameters although the spectral functions are quite different due to the asymmetry in the holography part the theory can fit the xray absorption spectrum xas data quite well but once the theory parameters are fixed with the former it can fit the photoelectric emission spectrum pes data only if we symmetrize the spectral function
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1,803.01865
Supersymmetry versus Compositeness: 2HDMs tell the story
Supersymmetry and Compositeness are two prevalent paradigms providing both a solution to the hierarchy problem and a motivation for a light Higgs boson state. As the latter has now been found, its dynamics can hold the key to disentangle the two theories. An open door towards the solution is found in the context of 2-Higgs Doublet Models (2HDMs), which are necessary to Supersymmetry and natural within Compositeness in order to enable Electro-Weak Symmetry Breaking. We show how 2HDM spectra of masses and couplings accessible at the Large Hadron Collider may allow one to separate the two scenarios.
hep-ph hep-th
supersymmetry and compositeness are two prevalent paradigms providing both a solution to the hierarchy problem and a motivation for a light higgs boson state as the latter has now been found its dynamics can hold the key to disentangle the two theories an open door towards the solution is found in the context of 2higgs doublet models 2hdms which are necessary to supersymmetry and natural within compositeness in order to enable electroweak symmetry breaking we show how 2hdm spectra of masses and couplings accessible at the large hadron collider may allow one to separate the two scenarios
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1,803.01866
Spin-2 Portal Dark Matter
We generalize models invoking a spin-2 particle as a mediator between the dark sector and the Standard Model. We show that a massive spin-2 messenger can efficiently play the role of a portal between the two sectors. The dark matter is then produced via a freeze-in mechanism during the reheating epoch. In a large part of the parameter space, production through the exchange of a massive spin-2 mediator dominates over processes involving a graviton with Planck suppressed couplings. We perform a systematic analysis of such models for different values of the spin-2 mass relative to the maximum and the final temperature attained at reheating.
hep-ph astro-ph.HE hep-th
we generalize models invoking a spin2 particle as a mediator between the dark sector and the standard model we show that a massive spin2 messenger can efficiently play the role of a portal between the two sectors the dark matter is then produced via a freezein mechanism during the reheating epoch in a large part of the parameter space production through the exchange of a massive spin2 mediator dominates over processes involving a graviton with planck suppressed couplings we perform a systematic analysis of such models for different values of the spin2 mass relative to the maximum and the final temperature attained at reheating
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