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Probabilisitc Logic Programming under Maximum Entropy
1999In this paper, we focus on the combination of probabilistic logic programming with the principle of maximum entropy. We start by defining probabilistic queries to probabilistic logic programs and their answer substitutions under maximum entropy. We then present an efficient linear programming characterization for the problem of deciding whether a ...
Thomas Lukasiewicz +1 more
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Logical Conditioning and Entropy Inference Based on Observational Data
Open Systems & Information Dynamics, 2001The logical conditioning inference problem is studied when a simple condition setting a threshold for a potential observation of a scalar observable uncertain quantity is introduced as an additional information to the pieces of evidence originally available to make inference, which include observational data.
Solana-Ortega, Alberto, Solana, Vicente
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Exact computation of the entropy of a logic circuit
Proceedings of the Sixth Great Lakes Symposium on VLSI, 2002Computing the entropy of a digital circuit has proved to be very useful for several applications in the area of VLSI system design. Recently, a method for entropy calculation has been used in the context of power estimation for logic circuits described at the register-transfer level.
MACII, Enrico, PONCINO, MASSIMO
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Top-H Decoding: Adapting the Creativity and Coherence with Bounded Entropy in Text Generation
arXiv.orgLarge language models (LLMs), despite their impressive performance across a wide range of tasks, often struggle to balance two competing objectives in open-ended text generation: fostering diversity and creativity while preserving logical coherence ...
Erfan Baghaei Potraghloo +3 more
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The entropy of observables on quantum logic
Reports on Mathematical Physics, 1984Let L be a quantum logic, i.e., L is an orthocomplemented, orthomodular \(\sigma\)-lattice. Let A be an observable (i.e., \(\sigma\)-homomorphism from the Borel subsets \(B({\mathbb{R}}_ 1)\) into L), and let \(\alpha\) be a state, i.e., a probability measure on L. The resolution of 1 with respect to an observable A is a set \(M\subset \{A(E):\) \(E\in
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A New Logical Measure for Quantum Information
Quantum information & computationStarting at the logical level of the logic of partitions, dual to the usual Boolean logic of subsets, the notion of logical entropy, i.e., information as distinctions, is developed as the quantification of the distinctions of partitions—just as ...
David P. Ellerman
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Erasure cost of a quantum process: a thermodynamic meaning of the dynamical min-entropy
Quantum Science and TechnologyThe erasure of information is fundamentally an irreversible logical operation, carrying profound consequences for the energetics of computation and information processing.
Himanshu Badhani +4 more
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Entropy-Based Adaptive Weighting for Self-Training
arXiv.orgThe mathematical problem-solving capabilities of large language models have become a focal point of research, with growing interests in leveraging self-generated reasoning paths as a promising way to refine and enhance these models.
Xiaoxuan Wang +3 more
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Entropy in operational statistics and quantum logic
Foundations of Physics, 1979In a series of recent papers, Randall and Foulis have developed a generalized theory of probability (operational statistics) which is based on the notion of a physical operation. They have shown that the quantum logic description of quantum mechanics can be naturally imbedded into this generalized theory of probability.
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arXiv.org
We propose using confusion hypergraphs (hyperconfusions) as a model of information. In contrast to the conventional approach using random variables, we can now perform conjunction, disjunction and implication of information, forming a Heyting algebra ...
Cheuk Ting Li
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We propose using confusion hypergraphs (hyperconfusions) as a model of information. In contrast to the conventional approach using random variables, we can now perform conjunction, disjunction and implication of information, forming a Heyting algebra ...
Cheuk Ting Li
semanticscholar +1 more source

