Results 21 to 30 of about 4,381,784 (312)
Relative Entropy and Torsion Coupling [PDF]
Physical Review D, 2016 We evaluate the relative entropy on a ball region near the UV fixed point of a holographic conformal field theory deformed by a fermionic operator of nonzero vacuum expectation value.
Lin, Feng-Li, Ning, Bo
core +2 more sources
Tight bound on relative entropy by entropy difference [PDF]
IEEE Transactions on Information Theory, 2015 We prove a lower bound on the relative entropy between two finite-dimensional states in terms of their entropy difference and the dimension of the underlying space.
Reeb, David, Wolf, Michael M.
core +2 more sources
Relative Entropy and Optimization-Driven Coarse-Graining Methods in VOTCA. [PDF]
PLoS ONE, 2015 We discuss recent advances of the VOTCA package for systematic coarse-graining. Two methods have been implemented, namely the downhill simplex optimization and the relative entropy minimization. We illustrate the new methods by coarse-graining SPC/E bulk
S Y Mashayak +5 more
doaj +2 more sources
Analysis of the Relative Entropy Asymmetry in the Regularization of Empirical Risk Minimization [PDF]
International Symposium on Information Theory, 2023 The effect of the relative entropy asymmetry is analyzed in the empirical risk minimization with relative entropy regularization (ERM-RER) problem. A novel regularization is introduced, coined Type-II regularization, that allows for solutions to the ERM ...
Francisco Daunas +3 more
semanticscholar +1 more source
Relative Entropy of Fermion Excitation States on the CAR Algebra [PDF]
Mathematical physics, analysis and geometry, 2023 The relative entropy of certain states on the algebra of canonical anticommutation relations (CAR) is studied in the present work. The CAR algebra is used to describe fermionic degrees of freedom in quantum mechanics and quantum field theory.
Stefano Galanda, A. Much, R. Verch
semanticscholar +1 more source
Deep coarse-grained potentials via relative entropy minimization. [PDF]
Journal of Chemical Physics, 2022 Neural network (NN) potentials are a natural choice for coarse-grained (CG) models. Their many-body capacity allows highly accurate approximations of the potential of mean force, promising CG simulations of unprecedented accuracy.
Stephan Thaler +2 more
semanticscholar +1 more source
Empirical Risk Minimization With Relative Entropy Regularization [PDF]
IEEE Transactions on Information Theory, 2022 The empirical risk minimization (ERM) problem with relative entropy regularization (ERM-RER) is investigated under the assumption that the reference measure is a $\sigma $ -finite measure, and not necessarily a probability measure. Under this assumption,
S. Perlaza +4 more
semanticscholar +1 more source
Integral formula for quantum relative entropy implies data processing inequality [PDF]
Quantum, 2022 Integral representations of quantum relative entropy, and of the directional second and higher order derivatives of von Neumann entropy, are established, and used to give simple proofs of fundamental, known data processing inequalities: the Holevo bound ...
P. Frenkel
semanticscholar +1 more source
Relative Entropy of Random States and Black Holes. [PDF]
Physical Review Letters, 2021 We study the relative entropy of highly excited quantum states. First, we sample states from the Wishart ensemble and develop a large-N diagrammatic technique for the relative entropy.
Jonah Kudler-Flam
semanticscholar +1 more source
Attainability and Lower Semi-continuity of the Relative Entropy of Entanglement and Variations on the Theme [PDF]
Annales de l'Institute Henri Poincare. Physique theorique, 2021 The relative entropy of entanglement $$E_R$$ E R is defined as the distance of a multipartite quantum state from the set of separable states as measured by the quantum relative entropy. We show that this optimisation is always achieved, i.e.
Ludovico Lami, M. Shirokov
semanticscholar +1 more source