Results 41 to 50 of about 492,681 (274)
Gibbs–Jaynes Entropy Versus Relative Entropy
Journal of Statistical Physics, 2014 The maximum entropy formalism developed by Jaynes determines the relevant ensemble in nonequilibrium statistical mechanics by maximising the entropy functional subject to the constraints imposed by the available information. We present an alternative derivation of the relevant ensemble based on the Kullback-Leibler divergence from equilibrium.
Meléndez, M., Español, P.
openaire +3 more sources
Fundamental properties of Tsallis relative entropy [PDF]
, 2004 Fundamental properties for the Tsallis relative entropy in both classical and quantum systems are studied. As one of our main results, we give the parametric extension of the trace inequality between the quantum relative entropy and the minus of the ...
Abe S. +19 more
core +3 more sources
Telescopic Relative Entropy [PDF]
, 2014 We introduce the telescopic relative entropy (TRE), which is a new regularisation of the relative entropy related to smoothing, to overcome the problem that the relative entropy between pure states is either zero or infinity and therefore useless as a distance measure in this case.
openaire +2 more sources
A Dissipation of Relative Entropy by Diffusion Flows
Entropy, 2016 Given a probability measure, we consider the diffusion flows of probability measures associated with the partial differential equation (PDE) of Fokker–Planck. Our flows of the probability measures are defined as the solution of the Fokker–Planck equation
Hiroaki Yoshida
doaj +1 more source
The holographic dual of Rényi relative entropy
Journal of High Energy Physics, 2019 The relative entropy is a measure of the distinguishability of two quantum states. A great deal of progress has been made in the study of the relative entropy between an excited state and the vacuum state of a conformal field theory (CFT) reduced to a ...
Ning Bao +2 more
doaj +1 more source
Observational Modeling of the Kolmogorov-Sinai Entropy [PDF]
Sahand Communications in Mathematical Analysis, 2019 In this paper, Kolmogorov-Sinai entropy is studied using mathematical modeling of an observer $ Theta $. The relative entropy of a sub-$ sigma_Theta $-algebra having finite atoms is defined and then the ergodic properties of relative semi-dynamical ...
Uosef Mohammadi
doaj +1 more source
Entropy Evaluation Based on Value Validity
Entropy, 2014 Besides its importance in statistical physics and information theory, the Boltzmann-Shannon entropy S has become one of the most widely used and misused summary measures of various attributes (characteristics) in diverse fields of study. It has also been
Tarald O. Kvålseth
doaj +1 more source
Thermodynamics from relative entropy [PDF]
Physical Review E, 2020 14 pages, 1 ...
Stefan Floerchinger, Tobias Haas
openaire +3 more sources
Field Theory Entropy, the $H$-theorem and the Renormalization Group [PDF]
, 1996 We consider entropy and relative entropy in Field theory and establish relevant monotonicity properties with respect to the couplings. The relative entropy in a field theory with a hierarchy of renormalization group fixed points ranks the fixed points ...
A. Cappelli +28 more
core +3 more sources
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Families of children with cancer experience significant financial strain, even with universal healthcare. Indirect costs, such as productivity losses and non‐medical expenses, are rarely included in economic evaluations, and little is known about how effectively financial aid programmes alleviate this burden. Childhood brain tumours
Megumi Lim +8 more
wiley +1 more source