Results 11 to 20 of about 1,569,764 (334)
Cross-Entropy Loss Functions: Theoretical Analysis and Applications [PDF]
International Conference on Machine Learning, 2023 Cross-entropy is a widely used loss function in applications. It coincides with the logistic loss applied to the outputs of a neural network, when the softmax is used. But, what guarantees can we rely on when using cross-entropy as a surrogate loss?
Anqi Mao, M. Mohri, Yutao Zhong
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Understanding the Role of Entropy in High Entropy Oxides. [PDF]
Journal of the American Chemical Society, 2023 The field of high entropy oxides (HEOs) flips traditional materials science paradigms on their head by seeking to understand what properties arise in the presence of profound configurational disorder.
S. Aamlid +3 more
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Machine learning–enabled high-entropy alloy discovery [PDF]
Science, 2022 High-entropy alloys are solid solutions of multiple principal elements that are capable of reaching composition and property regimes inaccessible for dilute materials.
Z. Rao +16 more
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Physical Review Letters, 2019 Scattering processes often inevitably include the production of infrared states, which are highly correlated with the hard scattering event, and decohere the hard states. This can be described using the entropy of the hard reduced density matrix, which is obtained from tracing over infrared states.
Neill, D., Waalewijn, W.J.
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On the Categorical Entropy and the Topological Entropy [PDF]
International Mathematics Research Notices, 2017 To an exact endofunctor of a triangulated category with a split-generator, the notion of entropy is given by Dimitrov-Haiden-Katzarkov-Kontsevich, which is a (possibly negative infinite) real-valued function of a real variable. In this paper, we propose a conjecture which naturally generalizes the theorem by Gromov-Yomdin, and show that the categorical
Kohei Kikuta, Atsushi Takahashi
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Entropy, 2021 About 160 years ago, the concept of entropy was introduced in thermodynamics by Rudolf Clausius. Since then, it has been continually extended, interpreted, and applied by researchers in many scientific fields, such as general physics, information theory, chaos theory, data mining, and mathematical linguistics.
Luís Antunes +7 more
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Entropy, 2021 While entropy was introduced in the second half of the 19th century in the international vocabulary as a scientific term, in the 20th century it became common in colloquial use. Popular imagination has loaded “entropy” with almost every negative quality in the universe, in life and in society, with a dominant meaning of disorder and disorganization ...
Demetris Koutsoyiannis +1 more
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Hochschild Entropy and Categorical Entropy
Arnold Mathematical Journal, 2022 22 pages.
Kohei Kikuta, Genki Ouchi
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Large Energy Capacitive High-Entropy Lead-Free Ferroelectrics
Nano-Micro Letters, 2023 Advanced lead-free energy storage ceramics play an indispensable role in next-generation pulse power capacitors market. Here, an ultrahigh energy storage density of ~ 13.8 J cm^−3 and a large efficiency of ~ 82.4% are achieved in high-entropy lead-free ...
Liang Chen +7 more
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Encyclopedia, 2009 The concept of entropy constitutes, together with energy, a cornerstone of contemporary physics and related areas. It was originally introduced by Clausius in 1865 along abstract lines focusing on thermodynamical irreversibility of macroscopic physical processes. In the next decade, Boltzmann made the genius connection—further developed by Gibbs—of the
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