Results 21 to 30 of about 977,806 (290)
Limits, applicability and generalizations of the Landauer's erasure principle [PDF]
, 2020 Almost sixty years since Landauer linked the erasure of information with an increase of entropy, his famous erasure principle and byproducts like reversible computing are still subjected to debates in the scientific community.
Nikolić, Hrvoje, Oriols, Xavier
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Entropy-Based Logic Explanations of Neural Networks
Proceedings of the AAAI Conference on Artificial Intelligence, 2022 Explainable artificial intelligence has rapidly emerged since lawmakers have started requiring interpretable models for safety-critical domains. Concept-based neural networks have arisen as explainable-by-design methods as they leverage human-understandable symbols (i.e. concepts) to predict class memberships. However, most of these approaches focus on
Barbiero, Pietro +5 more
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On Classical and Quantum Logical Entropy [PDF]
SSRN Electronic Journal, 2016 The notion of a partition on a set is mathematically dual to the notion of a subset of a set, so there is a logic of partitions dual to Boole's logic of subsets (Boolean logic is usually mis-specified as "propositional" logic). The notion of an element of a subset has as its dual the notion of a distinction of a partition (a pair of elements in ...
D. Ellerman
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Entropy of pure states: not all wave functions are born equal
4 open, 2022 Many-body Hilbert space has the algebraic structure of a finitely generated free module. All N-body wave functions in d dimensions can be generated by a finite number of N!d − 1 of generators called shapes, with symmetric-function coefficients ...
Sunko Denis K.
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Logical Information Theory: New Logical Foundations for Information Theory [PDF]
, 2017 here is a new theory of information based on logic. The definition of Shannon entropy as well as the notions on joint, conditional, and mutual entropy as defined by Shannon can all be derived by a uniform transformation from the corresponding formulas of
Ellerman, David
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Cross-entropy temporal logic motion planning [PDF]
Proceedings of the 18th International Conference on Hybrid Systems: Computation and Control, 2015 This paper presents a method for optimal trajectory generation for discrete-time nonlinear systems with linear temporal logic (LTL) task specifications. Our approach is based on recent advances in stochastic optimization algorithms for optimal trajectory generation.
Livingston, Scott C. +2 more
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Entropy: From Thermodynamics to Information Processing
Entropy, 2021 Entropy is a concept that emerged in the 19th century. It used to be associated with heat harnessed by a thermal machine to perform work during the Industrial Revolution.
Jordão Natal +4 more
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Rigorous and General Definition of Thermodynamic Entropy [PDF]
, 2010 The physical foundations of a variety of emerging technologies --- ranging from the applications of quantum entanglement in quantum information to the applications of nonequilibrium bulk and interface phenomena in microfluidics, biology, materials ...
Beretta, Gian Paolo, Zanchini, Enzo
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Social Entropy and Normative Network
Entropy, 2020 The paper introduces a new concept of social entropy and a new concept of social order, both based on the normative framework of society. From these two concepts, typologies (logical and historical) of societies are inferred and examined in their basic ...
Emil Dinga +2 more
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Mathematics, 2023 In this paper, we study the connections between generalized mean operators and entropies, where the mean value operators are related to the strictly monotone logical operators of fuzzy theory. Here, we propose a new entropy measure based on the family of
József Dombi +2 more
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