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Entropy-Based Logic Explanations of Neural Networks
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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Entropy of pure states: not all wave functions are born equal
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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AN INTRODUCTION TO LOGICAL ENTROPY AND ITS RELATION TO SHANNON ENTROPY [PDF]
The logical basis for information theory is the newly developed logic of partitions that is dual to the usual Boolean logic of subsets. The key concept is a "distinction" of a partition, an ordered pair of elements in distinct blocks of the partition. The logical concept of entropy based on partition logic is the normalized counting measure of the set
David Ellerman
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Logical Information Theory: New Logical Foundations for Information Theory [PDF]
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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Rigorous and General Definition of Thermodynamic Entropy [PDF]
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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Cross-entropy temporal logic motion planning [PDF]
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 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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Social Entropy and Normative Network
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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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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Informatics Carnot Machine in an Optical Fiber [PDF]
. Based on Planck's blackbody equation it argued that a single mode light pulse, with a large number of photons, carries one entropy unit. Similarly, an empty radiation mode carries no entropy.
KAFRI, Oded
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