Results 1 to 10 of about 114,837 (257)
Entropy, 2021 We construct a 2-categorical extension of the relative entropy functor of Baez and Fritz, and show that our construction is functorial with respect to vertical morphisms.
James Fullwood
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Belavkin–Staszewski Relative Entropy, Conditional Entropy, and Mutual Information [PDF]
Entropy, 2022 Belavkin–Staszewski relative entropy can naturally characterize the effects of the possible noncommutativity of quantum states. In this paper, two new conditional entropy terms and four new mutual information terms are first defined by replacing quantum ...
Yuan Zhai, Bo Yang, Zhengjun Xi
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Relative entropy and catalytic relative majorization [PDF]
Physical Review Research, 2020 Given two pairs of quantum states, a fundamental question in the resource theory of asymmetric distinguishability is whether there exists a quantum channel converting one pair to the other.
Soorya Rethinasamy, Mark M. Wilde
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Relative Entropy in Determining Degressive Proportional Allocations [PDF]
Entropy, 2021 The principle of degressively proportional apportionment of goods, being a compromise between equality and proportionality, facilitates the application of many different allocation rules.
Katarzyna Cegiełka +4 more
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Born’s Rule from Contextual Relative-Entropy Minimization [PDF]
EntropyWe give a variational characterization of the Born rule. For each measurement context, we project a quantum state ρ onto the corresponding abelian algebra by minimizing Umegaki relative entropy; Petz’s Pythagorean identity makes the dephased state the ...
Arash Zaghi
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Quantum Relative Entropy of Tagging and Thermodynamics [PDF]
Entropy, 2020 Thermodynamics establishes a relation between the work that can be obtained in a transformation of a physical system and its relative entropy with respect to the equilibrium state.
Jose Diazdelacruz
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Adding Prior Information in FWI through Relative Entropy [PDF]
Entropy, 2021 Full waveform inversion is an advantageous technique for obtaining high-resolution subsurface information. In the petroleum industry, mainly in reservoir characterisation, it is common to use information from wells as previous information to decrease the
Danilo Santos Cruz +3 more
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On a new generalized Tsallis relative operator entropy
Mathematics in Applied Sciences and Engineering, 2023 In this paper, we present a generalization of Tsallis relative operator entropy defined for positive operators and we investigate some related properties.
Lahcen Tarik +2 more
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Training Autoencoders Using Relative Entropy Constraints
Applied Sciences, 2022 Autoencoders are widely used for dimensionality reduction and feature extraction. The backpropagation algorithm for training the parameters of the autoencoder model suffers from problems such as slow convergence.
Yanjun Li, Yongquan Yan
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Fractal and Fractional, 2023 Mean relative entropy has a wide range of applications in measuring information differences. However, relative entropy is difficult to approximate from empirical distribution entropy.
Keqiang Dong, Shushu Li
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