publicationDate stringlengths 1 2.79k | title stringlengths 1 36.5k ⌀ | abstract stringlengths 1 37.3k ⌀ | id stringlengths 9 47 |
|---|---|---|---|
2016-09-30 | Interaction Between a Domain Wall and Spin Supercurrent in Easy-cone Magnets | A domain wall and spin supercurrent can coexist in magnets with easy-cone
anisotropy owing to simultaneous spontaneous breaking of Z$_2$ and U(1)
symmetries. Their interaction is theoretically investigated in quasi
one-dimensional ferromagnets within the Landau-Lifshitz-Gilbert phenomenology.
Specifically, we show that... | 1610.00034v1 |
2016-10-04 | A Local Inverse Formula and a Factorization | When a matrix has a banded inverse there is a remarkable formula that quickly
computes that inverse, using only local information in the original matrix.
This local inverse formula holds more generally, for matrices with sparsity
patterns that are examples of chordal graphs or perfect eliminators. The
formula has a lon... | 1610.01230v1 |
2016-10-10 | Parametric frequency mixing in the magneto-elastically driven FMR-oscillator | We demonstrate the nonlinear frequency conversion of ferromagnetic resonance
(FMR) frequency by optically excited elastic waves in a thin metallic film on
dielectric substrates. Time-resolved probing of the magnetization directly
witnesses magneto-elastically driven second harmonic generation, sum- and
difference frequ... | 1610.02926v1 |
2016-11-05 | Magnonic analog of relativistic Zitterbewegung in an antiferromagnetic spin chain | We theoretically investigate the spin wave (magnon) excitations in a
classical antiferromagnetic spin chain with easy-axis anisotropy. We obtain a
Dirac-like equation by linearizing the Landau- Lifshitz-Gilbert equation in
this antiferromagnetic system, in contrast to the ferromagnetic system in which
a Schr\"{o}dinger... | 1611.01512v2 |
2016-11-15 | The norm of the Fourier transform on compact or discrete abelian groups | We calculate the norm of the Fourier operator from $L^p(X)$ to $L^q(\hat{X})$
when $X$ is an infinite locally compact abelian group that is, furthermore,
compact or discrete. This subsumes the sharp Hausdorff-Young inequality on such
groups. In particular, we identify the region in $(p,q)$-space where the norm
is infin... | 1611.04692v1 |
2016-12-01 | Optimizing Quantiles in Preference-based Markov Decision Processes | In the Markov decision process model, policies are usually evaluated by
expected cumulative rewards. As this decision criterion is not always suitable,
we propose in this paper an algorithm for computing a policy optimal for the
quantile criterion. Both finite and infinite horizons are considered. Finally
we experiment... | 1612.00094v1 |
2017-02-02 | Magnon Condensation and Spin Superfluidity | We consider the phenomenon of Bose-Einstein condensation of quasi-equilibrium
magnons which leads to a spin superfluidity, the coherent quantum transfer of
magnetization in magnetic materials. These phenomena are beyond the classical
Landau-Lifshitz-Gilbert paradigm. The critical conditions for excited magnon
density f... | 1702.00846v2 |
2017-02-09 | Transient spin dynamics in a single-molecule magnet | We explore the limitations and validity of semi-classically formulated spin
equations of motion. Using a single-molecule magnet as a test model, we employ
three qualitatively different approximation schemes. From a microscopic model,
we derive a generalized spin equation of motion in which the parameters have a
non-loc... | 1702.02820v2 |
2017-03-05 | On the VC-Dimension of Binary Codes | We investigate the asymptotic rates of length-$n$ binary codes with
VC-dimension at most $dn$ and minimum distance at least $\delta n$. Two upper
bounds are obtained, one as a simple corollary of a result by Haussler and the
other via a shortening approach combining Sauer-Shelah lemma and the linear
programming bound. ... | 1703.01586v2 |
2017-03-09 | Long quasi-polycyclic $t-$CIS codes | We study complementary information set codes of length $tn$ and dimension $n$
of order $t$ called ($t-$CIS code for short). Quasi-cyclic and quasi-twisted
$t$-CIS codes are enumerated by using their concatenated structure. Asymptotic
existence results are derived for one-generator and have co-index $n$ by
Artin's conje... | 1703.03109v1 |
2017-09-05 | On the Lagrangian branched transport model and the equivalence with its Eulerian formulation | First we present two classical models of Branched Transport: the Lagrangian
model introduced by Bernot, Caselles, Morel, Maddalena, Solimini, and the
Eulerian model introduced by Xia. An emphasis is put on the Lagrangian model,
for which we give a complete proof of existence of minimizers in a
--hopefully-- simplified ... | 1709.01414v1 |
2017-09-09 | On Low-Risk Heavy Hitters and Sparse Recovery Schemes | We study the heavy hitters and related sparse recovery problems in the
low-failure probability regime. This regime is not well-understood, and has
only been studied for non-adaptive schemes. The main previous work is one on
sparse recovery by Gilbert et al.(ICALP'13). We recognize an error in their
analysis, improve th... | 1709.02919v3 |
2017-10-30 | Lattice calculation of hadronic tensor of the nucleon | We report an attempt to calculate the deep inelastic scattering structure
functions from the hadronic tensor calculated on the lattice. We used the
Backus-Gilbert reconstruction method to address the inverse Laplace
transformation for the analytic continuation from the Euclidean to the
Minkowski space. | 1710.11145v1 |
2017-10-31 | TF Boosted Trees: A scalable TensorFlow based framework for gradient boosting | TF Boosted Trees (TFBT) is a new open-sourced frame-work for the distributed
training of gradient boosted trees. It is based on TensorFlow, and its
distinguishing features include a novel architecture, automatic loss
differentiation, layer-by-layer boosting that results in smaller ensembles and
faster prediction, princ... | 1710.11555v1 |
2017-11-08 | Micromagnetic simulation study of a disordered model for one-dimensional granular perovskite manganite oxide nanostructures | Chemical techniques are an efficient method to synthesize one-dimensional
perovskite manganite oxide nanostructures with a granular morphology, that is,
formed by arrays of monodomain magnetic nanoparticles. Integrating the
stochastic Landau-Lifshitz-Gilbert equation, we simulate the dynamics of a
simple disordered mod... | 1711.03159v2 |
2017-11-21 | Construction of asymptotically good locally repairable codes via automorphism groups of function fields | Locally repairable codes have been investigated extensively in recent years
due to practical application in distributed storage as well as theoretical
interest. However, not much work on asymptotical behavior of locally repairable
codes has been done until now. In particular, there is a little result on
constructive lo... | 1711.07703v1 |
2017-11-21 | Stability of axisymmetric chiral skyrmions | We examine topological solitons in a minimal variational model for a chiral
magnet, so-called chiral skyrmions. In the regime of large background fields,
we prove linear stability of axisymmetric chiral skyrmions under arbitrary
perturbations in the energy space, a long-standing open question in physics
literature. Mor... | 1711.07717v1 |
2017-12-13 | Mutual synchronization of spin-torque oscillators consisting of perpendicularly magnetized free layers and in-plane magnetized pinned layers | A mutual synchronization of spin-torque oscillators coupled through current
injection is studied theoretically. Models of electrical coupling in parallel
and series circuits are proposed. Solving the Landau-Lifshitz-Gilbert equation,
excitation of in-phase or antiphase synchronization, depending on the ways the
oscilla... | 1712.04591v1 |
2018-01-25 | Pharmacokinetics Simulations for Studying Correlates of Prevention Efficacy of Passive HIV-1 Antibody Prophylaxis in the Antibody Mediated Prevention (AMP) Study | A key objective in two phase 2b AMP clinical trials of VRC01 is to evaluate
whether drug concentration over time, as estimated by non-linear mixed effects
pharmacokinetics (PK) models, is associated with HIV infection rate. We
conducted a simulation study of marker sampling designs, and evaluated the
effect of study ad... | 1801.08626v1 |
2018-03-30 | Nanostructured Ceramic Oxides with a Slow Crack Growth Resistance Close to Covalent Materials | Oxide ceramics are sensitive to slow crack growth because adsorption of water
can take place at the crack tip, leading to a strong decrease of the surface
energy in humid (or air) conditions. This is a major drawback concerning
demanding, long-term applications such as orthopaedic implants. Here we show
that a specific... | 1804.01393v1 |
2018-05-30 | Quantum Annealed Criticality | Experimentally there exist many materials with first-order phase transitions
at finite temperature that display quantum criticality. Classically a
strain-energy density coupling is known to drive first-order transitions in
compressible systems, and here we generalize this Larkin-Pikin mechanism to the
quantum case. We ... | 1805.11771v1 |
2018-08-03 | A thermally driven spin-transfer-torque system far from equilibrium: enhancement of the thermoelectric current via pumping current | We consider a small itinerant ferromagnet exposed to an external magnetic
field and strongly driven by a thermally induced spin current. For this model,
we derive the quasi-classical equations of motion for the magnetization where
the effects of a dynamical non-equilibrium distribution function are taken into
account s... | 1808.01192v1 |
2018-09-12 | But How Does It Work in Theory? Linear SVM with Random Features | We prove that, under low noise assumptions, the support vector machine with
$N\ll m$ random features (RFSVM) can achieve the learning rate faster than
$O(1/\sqrt{m})$ on a training set with $m$ samples when an optimized feature
map is used. Our work extends the previous fast rate analysis of random
features method from... | 1809.04481v3 |
2018-09-22 | Optimizing a Generalized Gini Index in Stable Marriage Problems: NP-Hardness, Approximation and a Polynomial Time Special Case | This paper deals with fairness in stable marriage problems. The idea studied
here is to achieve fairness thanks to a Generalized Gini Index (GGI), a
well-known criterion in inequality measurement, that includes both the
egalitarian and utilitarian criteria as special cases. We show that determining
a stable marriage op... | 1809.08453v1 |
2018-10-17 | Out-of-plane auto-oscillation in spin Hall oscillator with additional polarizer | The theoretical investigation on magnetization dynamics excited by the spin
Hall effect in metallic multilayers having two ferromagnets is discussed. The
relaxation of the transverse spin in one ferromagnet enables us to manipulate
the direction of the spin-transfer torque excited in another ferromagnet,
although the s... | 1810.07831v1 |
2018-11-23 | Most Graphs are Knotted | We present four models for a random graph and show that, in each case, the
probability that a graph is intrinsically knotted goes to one as the number of
vertices increases. We also argue that, for $k \geq 18$, most graphs of order
$k$ are intrinsically knotted and, for $k \geq 2n+9$, most of order $k$ are not
$n$-apex... | 1811.09726v1 |
2018-12-13 | Entanglement-assisted quantum error-correcting codes over arbitrary finite fields | We prove that the known formulae for computing the optimal number of
maximally entangled pairs required for entanglement-assisted quantum
error-correcting codes (EAQECCs) over the binary field hold for codes over
arbitrary finite fields as well. We also give a Gilbert-Varshamov bound for
EAQECCs and constructions of EA... | 1812.05312v4 |
2019-01-23 | Coupled dynamics of magnetizations in spin-Hall oscillators via spin current injection | An array of spin torque oscillators (STOs) for practical applications such as
pattern recognition was recently proposed, where several STOs are connected by
a common nonmagnet. In this structure, in addition to the electric and/or
magnetic interactions proposed in previous works, the STOs are spontaneously
coupled to e... | 1901.07669v1 |
2019-01-28 | A Multi-parameter regression model for interval censored survival data | We develop flexible multi-parameter regression survival models for interval
censored survival data arising in longitudinal prospective studies and
longitudinal randomised controlled clinical trials. A multi-parameter Weibull
regression survival model, which is wholly parametric, and has non-proportional
hazards, is the... | 1901.09634v1 |
2019-02-15 | Stochastic homogenization of the Landau-Lifshitz-Gilbert equation | Following the ideas of V. V. Zhikov and A. L. Pyatnitski, and more precisely
the stochastic two-scale convergence, this paper establishes a homogenization
theorem in a stochastic setting for two nonlinear equations : the equation of
harmonic maps into the sphere and the Landau-Lifschitz equation. These
equations have s... | 1902.05743v1 |
2019-03-06 | Cluster multipole dynamics in non-collinear antiferromagnets | A systematic framework to investigate spin dynamics in non-collinear
antiferromagnet is proposed. Taking Mn$_3$Sn as a representative example, we
derive an effective low energy model based on the multipole expansion of the
magnetic structure, and investigate the uniform precession and the domain wall
dynamics. We show ... | 1903.02259v1 |
2019-03-22 | Learning magnetization dynamics | Deep neural networks are used to model the magnetization dynamics in magnetic
thin film elements. The magnetic states of a thin film element can be
represented in a low dimensional space. With convolutional autoencoders a
compression ratio of 1024:1 was achieved. Time integration can be performed in
the latent space wi... | 1903.09499v1 |
2019-04-01 | Synchrony breakdown and noise-induced oscillation death in ensembles of serially connected spin-torque oscillators | We consider collective dynamics in the ensemble of serially connected
spin-torque oscillators governed by the Landau-Lifshitz-Gilbert-Slonczewski
magnetization equation. Proximity to homoclinicity hampers synchronization of
spin-torque oscillators: when the synchronous ensemble experiences the
homoclinic bifurcation, t... | 1904.00897v1 |
2019-04-21 | Global classical solutions to an evolutionary model for magnetoelasticity | In this paper, we first prove the local-in-time existence of the evolutionary
model for magnetoelasticity with finite initial energy by employing the
nonlinear iterative approach given in \cite{Jiang-Luo-2019-SIAM} to deal with
the geometric constraint $M \in \mathbb{S}^{d-1}$ in the
Landau-Lifshitz-Gilbert (LLG) equat... | 1904.09531v1 |
2019-06-21 | Thermal Collapse of a Skyrmion | Thermal collapse of an isolated skyrmion on a two-dimensional spin lattice
has been investigated. The method is based upon solution of the system of
stochastic Landau-Lifshitz-Gilbert equations for up $10^4$ spins. Recently
developed pulse-noise algorithm has been used for the stochastic component of
the equations. The... | 1906.09132v3 |
2019-06-23 | Random subgroups, automorphisms, splittings | We show that, if $H$ is a random subgroup of a finitely generated free group
$F_k$, only inner automorphisms of $F_k$ may leave $H$ invariant. A similar
result holds for random subgroups of toral relatively hyperbolic groups, more
generally of groups which are hyperbolic relative to slender subgroups. These
results fol... | 1906.09654v1 |
2019-07-28 | Polarization of the Cosmic Infrared Background Fluctuations | The cosmic infrared background (CIB) is slightly polarized. Polarization
directions of individual galaxies could be aligned with tidal fields around
galaxies, resulting in nonzero CIB polarization. We use a linear intrinsic
alignment model to theoretically predict angular correlations of the CIB
polarization fluctuatio... | 1907.12085v1 |
2019-08-05 | Constructive asymptotic bounds of locally repairable codes via function fields | Locally repairable codes have been investigated extensively in recent years
due to practical applications in distributed and cloud storage systems.
However, there are few asymptotical constructions of locally repairable codes
in the literature. In this paper, we provide an explicit asymptotic
construction of locally re... | 1908.01471v1 |
2019-10-25 | Application-Layer Coding with Intermittent Feedback under Delay and Duty-Cycle Constraints | We propose two application-layer coding schemes for delay-constrained
point-to-point packet communications with restrictions on the transmitter's
maximum duty-cycle. The schemes operate over GF(2) and utilize intermittently
available receiver feedback for erasure correction. Applications that will
benefit from the prop... | 1910.11700v2 |
2019-10-28 | Dissipative solutions to a system for the flow of magnetoviscoelastic materials | We address the question of global in time existence of solutions to a
magnetoviscoelastic system with general initial data. We show that the notion
of dissipative solutions allows to prove such an existence in two and three
dimensions. This extends an earlier result for the viscoelastic subsystem to
the setting which i... | 1910.12751v2 |
2019-12-09 | Multi-reference protocol for (auto)ionization spectra: application to molecules | We present the application of the spherically averaged continuum model to the
evaluation of molecular photoelectron and resonant Auger electron spectra. In
this model, the continuum wave function is obtained in a numerically efficient
way by solving the radial Schr\"odinger equation with a spherically averaged
molecula... | 1912.04139v1 |
2020-01-25 | Phase estimation of spin-torque oscillator by nonlinear spin-torque diode effect | A theoretical analysis is developed on spin-torque diode effect in nonlinear
region. An analytical solution of the diode voltage generated from spin-torque
oscillator by the rectification of an alternating current is derived. The diode
voltage is revealed to depend nonlinearly on the phase difference between the
oscill... | 2001.09247v1 |
2020-04-06 | Frequency enhancement and power tunability in tilted polarizer spin-torque nano oscillator | In the absence of an applied magnetic field, a spin-torque nano
oscillator(STNO) with a tilted polarizer is studied using numerical simulation
of the associated Landau-Lifshitz-Gilbert-Slonczewski equation. We find
considerable enhancement of frequency by tilting the polarizer out-of-plane
appropriately. Also, we obser... | 2004.02659v1 |
2020-05-11 | Perspective on Metallic Antiferromagnets | Antiferromagnet materials have recently gained renewed interest due to their
possible use in spintronics technologies, where spin transport is the
foundation of their functionalities. In that respect metallic antiferromagnets
are of particular interest, since they enable complex interplays between
electronic charge tra... | 2005.05247v1 |
2020-07-09 | Enumerating alternating matrix spaces over finite fields with explicit coordinates | We initiate the study of enumerating linear subspaces of alternating matrices
over finite fields with explicit coordinates. We postulate that this study can
be viewed as a linear algebraic analogue of the classical topic of enumerating
labelled graphs. To support this viewpoint, we present q-analogues of Gilbert's
form... | 2007.05108v1 |
2020-08-06 | On Passivity, Feedback Passivity, And Feedback Passivity Over Erasure Network: A Piecewise Affine Approximation Approach | In this paper, we deal with the problem of passivity and feedback
passification of smooth discrete-time nonlinear systems by considering their
piecewise affine approximations. Sufficient conditions are derived for
passivity and feedback passivity. These results are then extended to systems
that operate over Gilbert-Ell... | 2008.02748v1 |
2020-08-20 | Hyperbolic groups of Fibonacci type and T(5) cyclically presented groups | Building on previous results concerning hyperbolicity of groups of Fibonacci
type, we give an almost complete classification of the (non-elementary)
hyperbolic groups within this class. We are unable to determine the
hyperbolicity status of precisely two groups, namely the Gilbert-Howie groups
H(9,4), H(9,7). We show t... | 2008.08986v2 |
2020-10-13 | Mechanistic Modelling of Chromatin Folding to Understand Function | Experimental approaches have been applied to address questions in
understanding three-dimensional chromatin organisation and function. As
datasets increase in size and complexity, it becomes a challenge to reach a
mechanistic interpretation of experimental results. Polymer simulations and
mechanistic modelling have bee... | 2010.06413v1 |
2020-12-05 | Dual Regularized Optimal Transport | In this paper, we present a new formulation of unbalanced optimal transport
called Dual Regularized Optimal Transport (DROT). We argue that regularizing
the dual formulation of optimal transport results in a version of unbalanced
optimal transport that leads to sparse solutions and that gives us control over
mass creat... | 2012.03126v1 |
2020-12-20 | Achieving positive rates with predetermined dictionaries | In the first part of the paper we consider binary input channels that are not
necessarily stationary and show how positive rates can be achieved using codes
constrained to be within predetermined dictionaries. We use a
Gilbert-Varshamov-like argument to obtain the desired rate achieving codes.
Next we study the corresp... | 2012.10897v1 |
2020-12-25 | Colossal stability of antiferromagnetically exchange coupled nanomagnets | Bistable nanomagnets store a binary bit of information. Exchange coupled
nanomagnets can increase the thermal stability at low dimensions. Here we show
that the antiferromagnetically (AFM) coupled nanomagnets can be highly stable
at low dimensions than that of the ferromagnetically (FM) coupled nanomagnets.
By solving ... | 2012.13590v1 |
2021-03-08 | Cutoff for the Asymmetric Riffle Shuffle | In the Gilbert-Shannon-Reeds shuffle, a deck of $N$ cards is cut into two
approximately equal parts which are then riffled uniformly at random. Bayer and
Diaconis famously showed that this Markov chain undergoes cutoff in total
variation after $\frac{3\log(N)}{2 \log(2)}$ shuffles. We establish cutoff for
the more gene... | 2103.05068v3 |
2021-03-24 | Information Freshness Analysis of Slotted ALOHA in Gilbert-Elliot Channels | This letter analyzes a class of information freshness metrics for large IoT
systems in which terminals employ slotted ALOHA to access a common channel.
Considering a Gilbert- Elliot channel model, information freshness is evaluated
through a penalty function that follows a power law of the time elapsed since
the last r... | 2103.13346v2 |
2021-04-30 | Micromagnetic modeling of magnon coherent states in a nonuniform magnetic field | The study of the dynamics of magnetically ordered states in strong excitation
through micromagnetic modeling has become relevant due to the observation of
magnon Bose condensation. In particular, the question has arisen about the
possibility of describing the coherent quantum state by the quasi-classical
Landau-Lifshit... | 2104.14804v1 |
2021-07-07 | Superconducting Magnets | Superconductivity allows to construct and operate magnets at field values
beyond 2 Tesla, the practical limitation of normal-conducting magnets
exploiting ferro-magnetism. The field of superconducting magnets is dominated
by the field generated in the coil. The stored energy and the electromagnetic
forces generated by ... | 2107.03177v1 |
2021-08-14 | An Experimental-Design Perspective on Population Genetic Variation | We consider the hypothesis that Evolution promotes population-wide genome
patterns that, under randomization, ensures the External Validity of
adaptations across population members. An adaptation is Externally Valid (EV)
if its effect holds under a wide range of population genetic variations. A
prediction following the... | 2108.06580v1 |
2021-12-14 | Extending the team with a project-specific bot | While every other software team is adopting off-the-shelf bots to automate
everyday tasks, the Coq team has made a different choice by developing and
maintaining a project-specific bot from the ground up. In this article, we
describe the reasons for this choice, what kind of automation this has allowed
us to implement,... | 2112.07365v1 |
2021-12-29 | Multi-Adversarial Safety Analysis for Autonomous Vehicles | This work in progress considers reachability-based safety analysis in the
domain of autonomous driving in multi-agent systems. We formulate the safety
problem for a car following scenario as a differential game and study how
different modelling strategies yield very different behaviors regardless of the
validity of the... | 2112.14344v1 |
2022-01-26 | Analyzing Ta-Shma's Code via the Expander Mixing Lemma | Random walks in expander graphs and their various derandomizations (e.g.,
replacement/zigzag product) are invaluable tools from pseudorandomness.
Recently, Ta-Shma used s-wide replacement walks in his breakthrough
construction of a binary linear code almost matching the Gilbert-Varshamov
bound (STOC 2017). Ta-Shma's or... | 2201.11166v1 |
2022-02-15 | Further Collapses in TFNP | We show $\textsf{EOPL}=\textsf{PLS}\cap\textsf{PPAD}$. Here the class
$\textsf{EOPL}$ consists of all total search problems that reduce to the
End-of-Potential-Line problem, which was introduced in the works by Hubacek and
Yogev (SICOMP 2020) and Fearnley et al. (JCSS 2020). In particular, our result
yields a new simpl... | 2202.07761v2 |
2022-03-19 | A proposed test of quantum mechanics with three connected atomic clock transitions | We consider possible extensions to quantum mechanics proposed by Steven
Weinberg, and re-analyze his prediction of a new test based upon three atomic
clocks in the same atom. We propose realistic experimental systems where this
hypothesis can be tested. Two systems already set limits on deviations from
quantum mechanic... | 2203.10269v3 |
2022-06-14 | Generalized graph splines and the Universal Difference Property | We study the generalized graph splines introduced by Gilbert, Tymoczko, and
Viel and focus on an attribute known as the Universal Difference Property
(UDP). We prove that paths, trees, and cycles satisfy UDP. We explore UDP on
graphs pasted at a single vertex and use Pr\"ufer domains to illustrate that
not every edge l... | 2206.06981v2 |
2022-08-04 | Total stability and Auslander-Reiten theory for Dynkin quivers | This paper concerns stability functions for Dynkin quivers, in the generality
introduced by Rudakov. We show that relatively few inequalities need to be
satisfied for a stability function to be totally stable (i.e. to make every
indecomposable stable). Namely, a stability function $\mu$ is totally stable if
and only if... | 2208.02445v1 |
2022-09-09 | Magnetization dynamics and reversal of two-dimensional magnets | Micromagnetics simulation based on the classical Landau-Lifshitz-Gilbert
(LLG) equation has long been a powerful method for modeling magnetization
dynamics and reversal of three-dimensional (3D) magnets. For two-dimensional
(2D) magnets, the magnetization reversal always accompanies the collapse of the
magnetization ev... | 2209.04483v1 |
2022-11-06 | Two-Qutrit entanglement: 56-years old algorithm challenges machine learning | Classifying states as entangled or separable is a highly challenging task,
while it is also one of the foundations of quantum information processing
theory. This task is higly nontrivial even for relatively simple cases, such as
two-qutrit Bell-diagonal states, i.e., mixture of nine mutually orthogonal
maximally entang... | 2211.03213v1 |
2022-12-07 | Quantitative CLTs on the Poisson space via Skorohod estimates and $p$-Poincaré inequalities | We establish new explicit bounds on the Gaussian approximation of Poisson
functionals based on novel estimates of moments of Skorohod integrals.
Combining these with the Malliavin-Stein method, we derive bounds in the
Wasserstein and Kolmogorov distances whose application requires minimal moment
assumptions on add-one ... | 2212.03782v1 |
2022-12-19 | Bounds on Mixed Codes with Finite Alphabets | Mixed codes, which are error-correcting codes in the Cartesian product of
different-sized spaces, model degrading storage systems well. While such codes
have previously been studied for their algebraic properties (e.g., existence of
perfect codes) or in the case of unbounded alphabet sizes, we focus on the case
of fini... | 2212.09314v1 |
2023-02-17 | Codes Correcting Burst and Arbitrary Erasures for Reliable and Low-Latency Communication | Motivated by modern network communication applications which require low
latency, we study codes that correct erasures with low decoding delay. We
provide a simple explicit construction that yields convolutional codes that can
correct both burst and arbitrary erasures under a maximum decoding delay
constraint $T$. Our ... | 2302.08644v1 |
2023-03-10 | On the coherence of one-relator groups and their group algebras | We prove that one-relator groups are coherent, solving a well-known problem
of Gilbert Baumslag. Our proof strategy is readily applicable to many classes
of groups of cohomological dimension two. We show that fundamental groups of
two-complexes with non-positive immersions are homologically coherent, we show
that group... | 2303.05976v3 |
2023-05-11 | Linear Codes with Prescribed Hull Dimension and Minimum Distance | The hull of a linear code (i.e., a finite field vector space)~\({\mathcal
C}\) is defined to be the vector space formed by the intersection
of~\({\mathcal C}\) with its dual~\({\mathcal C}^{\perp}.\) Constructing vector
spaces with a specified hull dimension has important applications and it is
therefore of interest to... | 2305.07140v1 |
2023-05-18 | Bounds on Size of Homopolymer Free Codes | For any given alphabet of size $q$, a Homopolymer Free code (HF code) refers
to an $(n, M, d)_q$ code of length $n$, size $M$ and minimum Hamming distance
$d$, where all the codewords are homopolymer free sequences. For any given
alphabet, this work provides upper and lower bounds on the maximum size of any
HF code usi... | 2305.10741v1 |
2023-06-08 | A Macroscopic Theory of Saturated Ferromagnetic Conductors | A phenomenological theory of rigid and saturated ferromagnetic conductors is
constructed from a four-continuum model consisting of a rigid lattice
continuum, a bound charge continuum for polarization, a circulating current
continuum for magnetization, and a free charge continuum for electrical
conduction. The basic law... | 2306.11525v1 |
2023-07-02 | Unveiling Stable One-dimensional Magnetic Solitons in Magnetic Bilayers | We propose a novel model which efficiently describes the magnetization
dynamics in a magnetic bilayer system. By applying a particular gauge
transformation to the Landau-Lifshitz-Gilbert (LLG) equation, we successfully
convert the model into an exactly integrable framework. Thus the obtained
analytical solutions allows... | 2307.00471v1 |
2023-09-22 | Characterizing Smooth Safety Filters via the Implicit Function Theorem | Optimization-based safety filters, such as control barrier function (CBF)
based quadratic programs (QPs), have demonstrated success in controlling
autonomous systems to achieve complex goals. These CBF-QPs can be shown to be
continuous, but are generally not smooth, let alone continuously
differentiable. In this paper,... | 2309.12614v1 |
2023-09-23 | Sphaleron rate from lattice QCD | We compute the sphaleron rate on the lattice from the inversion of the
Euclidean time correlators of the topological charge density, performing also
controlled continuum and zero-smoothing extrapolations. The correlator
inversion is performed by means of a recently-proposed modification of the
Backus-Gilbert method. | 2309.13327v1 |
2023-09-23 | CA-PCA: Manifold Dimension Estimation, Adapted for Curvature | The success of algorithms in the analysis of high-dimensional data is often
attributed to the manifold hypothesis, which supposes that this data lie on or
near a manifold of much lower dimension. It is often useful to determine or
estimate the dimension of this manifold before performing dimension reduction,
for instan... | 2309.13478v1 |
2023-11-13 | Dedukti: a Logical Framework based on the $λ$$Π$-Calculus Modulo Theory | Dedukti is a Logical Framework based on the $\lambda$$\Pi$-Calculus Modulo
Theory. We show that many theories can be expressed in Dedukti: constructive
and classical predicate logic, Simple type theory, programming languages, Pure
type systems, the Calculus of inductive constructions with universes, etc. and
that permi... | 2311.07185v1 |
2023-12-24 | Sphaleron rate as an inverse problem: a novel lattice approach | We compute the sphaleron rate on the lattice. We adopt a novel strategy based
on the extraction of the spectral density via a modified version of the
Backus-Gilbert method from finite-lattice-spacing and finite-smoothing-radius
Euclidean topological charge density correlators. The physical sphaleron rate
is computed by... | 2312.15468v1 |
2005-05-20 | On the expansion of the power of any polynomial 1+x+x^2+x^3+x^4+etc | In this paper, Euler gives the general trionomial coefficient as a sum of the
binomial coefficients, the general quadrinomial coefficient as a sum of the
binomial and trinomial coefficients, the general quintonomial coefficient as a
sum of the binomial and quadrinomial coefficients, and gives a general
determination of... | 0505425v1 |
2023-12-05 | Central limit theorem for the average closure coefficient | Many real-world networks exhibit the phenomenon of edge clustering, which is
typically measured by the average clustering coefficient. Recently, an
alternative measure, the average closure coefficient, is proposed to quantify
local clustering. It is shown that the average closure coefficient possesses a
number of usefu... | 2312.03142v1 |
1999-12-17 | Expectations For an Interferometric Sunyaev-Zel'dovich Effect Survey for Galaxy Clusters | Non-targeted surveys for galaxy clusters using the Sunyaev-Zel'dovich effect
(SZE) will yield valuable information on both cosmology and evolution of the
intra-cluster medium (ICM). The redshift distribution of detected clusters will
constrain cosmology, while the properties of the discovered clusters will be
important... | 9912364v2 |
2000-02-17 | K-Band Spectroscopy of an Obscured Massive Stellar Cluster in the Antennae Galaxies (NGC 4038/4039) with NIRSPEC | We present infrared spectroscopy of the Antennae Galaxies (NGC 4038/4039)
with NIRSPEC at the W. M. Keck Observatory. We imaged the star clusters in the
vicinity of the southern nucleus (NGC 4039) in 0.39" seeing in K-band using
NIRSPEC's slit-viewing camera. The brightest star cluster revealed in the
near-IR (M_K(0) =... | 0002357v1 |
2003-02-20 | The Reionization History at High Redshifts II: Estimating the Optical Depth to Thomson Scattering from CMB Polarization | In light of the recent inference of a high optical depth to Thomson
scattering, tau, from the WMAP data we investigate the effects of extended
periods of partial ionization and ask if the value of tau inferred by assuming
a single sharp transition is an unbiased estimate. We construct and consider
several representativ... | 0302404v2 |
2007-02-27 | The Sunyaev-Zeldovich Background | The cosmic background due to the Sunyaev-Zeldovich (SZ) effect is expected to
be the largest signal at mm and cm wavelengths at a resolution of a few
arcminutes. We investigate some simple statistics of SZ maps and their scaling
with the normalization of the matter power spectrum, sigma_8, as well as the
effects of the... | 0702727v1 |
1998-01-23 | An Analytical Construction of the SRB Measures for Baker-type Maps | For a class of dynamical systems, called the axiom-A systems, Sinai, Ruelle
and Bowen showed the existence of an invariant measure (SRB measure) weakly
attracting the temporal average of any initial distribution that is absolutely
continuous with respect to the Lebesgue measure. Recently, the SRB measures
were found to... | 9801031v2 |
1998-04-08 | Entropy Production : From Open Volume Preserving to Dissipative Systems | We generalize Gaspard's method for computing the \epsilon-entropy production
rate in Hamiltonian systems to dissipative systems with attractors considered
earlier by T\'el, Vollmer, and Breymann. This approach leads to a natural
definition of a coarse grained Gibbs entropy which is extensive, and which can
be expressed... | 9804009v2 |
1998-07-23 | A priori bounds for co-dimension one isometric embeddings | We prove a priori bounds for the trace of the second fundamental form of a
$C^4$ isometric embedding into $R^{n+1}$ of a metric $g$ of non-negative
sectional curvature on $S^n$, in terms of the scalar curvature, and the
diameter of $g$. These estimates give a bound on the extrinsic geometry in
terms of intrinsic quanti... | 9807130v1 |
2002-07-02 | Active and Passive Fields in Turbulent Transport: the Role of Statistically Preserved Structures | We have recently proposed that the statistics of active fields (which affect
the velocity field itself) in well-developed turbulence are also dominated by
the Statistically Preserved Structures of auxiliary passive fields which are
advected by the same velocity field. The Statistically Preserved Structures are
eigenmod... | 0207005v1 |
2001-06-07 | Secrecy, Computational Loads and Rates in Practical Quantum Cryptography | A number of questions associated with practical implementations of quantum
cryptography systems having to do with unconditional secrecy, computational
loads and effective secrecy rates in the presence of perfect and imperfect
sources are discussed. The different types of unconditional secrecy, and their
relationship to... | 0106043v2 |
2001-08-02 | Privacy Amplification in Quantum Key Distribution: Pointwise Bound versus Average Bound | In order to be practically useful, quantum cryptography must not only provide
a guarantee of secrecy, but it must provide this guarantee with a useful,
sufficiently large throughput value. The standard result of generalized privacy
amplification yields an upper bound only on the average value of the mutual
information ... | 0108013v1 |
2008-03-27 | Assessing surrogate endpoints in vaccine trials with case-cohort sampling and the Cox model | Assessing immune responses to study vaccines as surrogates of protection
plays a central role in vaccine clinical trials. Motivated by three ongoing or
pending HIV vaccine efficacy trials, we consider such surrogate endpoint
assessment in a randomized placebo-controlled trial with case-cohort sampling
of immune respons... | 0803.3919v1 |
2008-06-13 | The Formation and Evolution of Massive Stellar Clusters in IC 4662 | We present a multiwavelength study of the formation of massive stellar
clusters, their emergence from cocoons of gas and dust, and their feedback on
surrounding matter. Using data that span from radio to optical wavelengths,
including Spitzer and Hubble ACS observations, we examine the population of
young star clusters... | 0806.2302v1 |
2009-01-28 | Searching for Main-Belt Comets Using the Canada-France-Hawaii Telescope Legacy Survey | The Canada-France-Hawaii Telescope Legacy Survey, specifically the Very Wide
segment of data, is used to search for possible main-belt comets. In the first
data set, 952 separate objects with asteroidal orbits within the main-belt are
examined using a three-level technique. First, the full-width-half-maximum of
each ob... | 0901.4511v1 |
2009-10-02 | Spectroscopic Observations of New Oort Cloud Comet 2006 VZ13 and Four Other Comets | Spectral data are presented for comets 2006 VZ13 (LINEAR), 2006 K4 (NEAT),
2006 OF2 (Broughton), 2P/Encke, and 93P/Lovas I, obtained with the Cerro-Tololo
Inter-American Observatory 1.5-m telescope in August 2007. Comet 2006 VZ13 is a
new Oort cloud comet and shows strong lines of CN (3880 angstroms), the Swan
band seq... | 0910.0416v1 |
2009-12-01 | Approximate Sparse Recovery: Optimizing Time and Measurements | An approximate sparse recovery system consists of parameters $k,N$, an
$m$-by-$N$ measurement matrix, $\Phi$, and a decoding algorithm, $\mathcal{D}$.
Given a vector, $x$, the system approximates $x$ by $\widehat x
=\mathcal{D}(\Phi x)$, which must satisfy $\| \widehat x - x\|_2\le C \|x -
x_k\|_2$, where $x_k$ denotes... | 0912.0229v1 |
2010-04-07 | Concatenated quantum codes can attain the quantum Gilbert-Varshamov bound | A family of quantum codes of increasing block length with positive rate is
asymptotically good if the ratio of its distance to its block length approaches
a positive constant. The asymptotic quantum Gilbert-Varshamov (GV) bound states
that there exist $q$-ary quantum codes of sufficiently long block length $N$
having f... | 1004.1127v6 |
2010-09-02 | Stable and unstable regimes in higher-dimensional convex billiards with cylindrical shape | We introduce a class of convex, higher-dimensional billiard models which
generalise stadium billiards. These models correspond to the free motion of a
point-particle in a region bounded by cylinders cut by planes. They are
motivated by models of particles interacting via a string-type mechanism, and
confined by hard wa... | 1009.0337v1 |
2011-08-29 | Magnetization Dynamics, Throughput and Energy Dissipation in a Universal Multiferroic Nanomagnetic Logic Gate with Fan-in and Fan-out | The switching dynamics of a multiferroic nanomagnetic NAND gate with
fan-in/fan-out is simulated by solving the Landau-Lifshitz-Gilbert (LLG)
equation while neglecting thermal fluctuation effects. The gate and logic wires
are implemented with dipole-coupled 2-phase (magnetostrictive/piezoelectric)
multiferroic elements... | 1108.5758v1 |
2011-09-15 | Stato evolutivo delle stelle della Cintura di Orione ed implicazioni archeoastronomiche | In the present work it is evaluated the evolutionary state of the Orion Belt
stars, an asterism very important for the ancient Egyptians, finding that, when
the pyramids were built, the brightness of the three stars of the Belt was
practically the same as today. This not trivial result has important
implications in the... | 1109.3284v2 |
2012-07-31 | Surface Acoustic Wave-Driven Ferromagnetic Resonance in Nickel Thin Films: Theory and Experiment | We present an extensive experimental and theoretical study of surface
acoustic wave-driven ferromagnetic resonance. In a first modeling approach
based on the Landau-Lifshitz-Gilbert equation, we derive expressions for the
magnetization dynamics upon magnetoelastic driving that are used to calculate
the absorbed microwa... | 1208.0001v1 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.