Results 11 to 20 of about 11,358 (236)
Introduction to logical entropy and its relationship to Shannon entropy [PDF]
4 open, 2022 We live in the information age. Claude Shannon, as the father of the information age, gave us a theory of communications that quantified an “amount of information,” but, as he pointed out, “no concept of information itself was defined.” Logical entropy ...
Ellerman David
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Logical entropy and negative probabilities in quantum mechanics
4 open, 2022 The concept of Logical Entropy, SL = 1-Σni=1 pi2 SL=1-∑i=1npi2$ {S}_{\mathrm{L}}=1-{\sum }_{i=1}^n {p}_i^2$, where the pi are normalized probabilities, was introduced by David Ellerman in a series of recent papers.
Manfredi Giovanni
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From Rota to the Logic of Partitions and the Notion of Logical Entropy
Science & PhilosophyThis paper traces an intellectual journey that starts with some unfinished work of Gian-Carlo Rota on making a logic of equivalence relations or partitions. Rota understood the category-theoretic duality between subsets and partitions which implied there
David Ellerman
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Relative model of the logical entropy of sub-$\sigma_\Theta$-algebras [PDF]
Journal of Mahani Mathematical Research, 2023 In the context of observers, any mathematical model according to the viewpoint of an observer $ \Theta $ is called a relative model. The purpose of the present paper is to study the relative model of logical entropy. Given an observer $ \Theta $,
Uosef Mohammadi
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Quantum logical entropy: fundamentals and general properties
4 open, 2022 Logical entropy gives a measure, in the sense of measure theory, of the distinctions of a given partition of a set, an idea that can be naturally generalized to classical probability distributions.
Tamir Boaz +3 more
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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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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 Entropy for Quantum States
CoRR, 2014 6 pages, v.2 contains some minor corrections and additional ...
Boaz Tamir, Eliahu Cohen
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Logical entropy of dynamical systems in product MV-algebras and general scheme
Advances in Difference Equations, 2019 The present paper is aimed at studying the entropy of dynamical systems in product MV-algebras. First, by using the concept of logical entropy of a partition in a product MV-algebra introduced and studied by Markechová et al.
Dagmar Markechová, Beloslav Riečan
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