Results 1 to 10 of about 1,569,764 (334)
Typical and extreme entropies of long-lived isolated quantum systems
, 2020 In this paper, we investigate and compare two well-developed definitions of entropy relevant for describing the dynamics of isolated quantum systems: bipartite entanglement entropy and observational entropy.
Aguirre, Anthony +3 more
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Extensive Entropy Bounds [PDF]
, 2002 It is shown that, for systems in which the entropy is an extensive function of the energy and volume, the Bekenstein and the holographic entropy bounds predict new results.
D. Marolf +20 more
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Modeling Urban Growth and Form with Spatial Entropy
, 2020 Entropy is one of physical bases for fractal dimension definition, and the generalized fractal dimension was defined by Renyi entropy. Using fractal dimension, we can describe urban growth and form and characterize spatial complexity. A number of fractal
Chen, Yanguang
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, 2008 Landauer's principle is applied to information in the universe. Once stars began forming, the increasing proportion of matter at high stellar temperatures compensated for the expanding universe to provide a near constant information energy density.
Feynman +5 more
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Sofic entropy and amenable groups [PDF]
, 2011 In previous work, I introduced a measure-conjugacy invariant for sofic group actions called sofic entropy. Here it is proven that the sofic entropy of an amenable group action equals its classical entropy. The proof uses a new measure-conjugacy invariant
Bowen, Lewis
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Entropy dimension of measure preserving systems
, 2018 The notion of metric entropy dimension is introduced to measure the complexity of entropy zero dynamical systems. For measure preserving systems, we define entropy dimension via the dimension of entropy generating sequences.
Dou, Dou, Huang, Wen, Park, Kyewon Koh
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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
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Symmetric Cross Entropy for Robust Learning With Noisy Labels [PDF]
IEEE International Conference on Computer Vision, 2019 Training accurate deep neural networks (DNNs) in the presence of noisy labels is an important and challenging task. Though a number of approaches have been proposed for learning with noisy labels, many open issues remain.
Yisen Wang +5 more
semanticscholar +1 more source
Conditional entropy of ordinal patterns [PDF]
, 2014 In this paper we investigate a quantity called conditional entropy of ordinal patterns, akin to the permutation entropy. The conditional entropy of ordinal patterns describes the average diversity of the ordinal patterns succeeding a given ordinal ...
Keller, Karsten, Unakafov, Anton M.
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The Entropy of the Gravitational Field
, 1992 We derive a formula for the nonequilibrium entropy of a classical stochastic field in terms of correlation functions of this field. The formalism is then applied to define the entropy of gravitational perturbations (both gravitational waves and density ...
A. Guth +52 more
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