Derangetropy in Probability Distributions and Information Dynamics
EntropyWe introduce derangetropy, which is a novel functional measure designed to characterize the dynamics of information within probability distributions. Unlike scalar measures such as Shannon entropy, derangetropy offers a functional representation that ...
Masoud Ataei, Xiaogang Wang
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Gibbs probability entropy and its implication to combinatorial entropy models [PDF]
Fluid Phase EquilibriaWe show that the class of combinatorial entropy models, such as the Guggenheim–Staverman model, in which the many conformations of a molecule are taken into account, does not fulfill the Gibbs probability normalization condition. The root cause for this deviation lies in the definition of the pure and mixture state.
Gerard J.P. Krooshof, Gijsbertus de With
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Multi‐Physical Field Modulated P‐Bit Device Based on VO2 Thin Film [PDF]
Advanced ScienceProbabilistic computation using probability bits (P‐bits) is highly effective for combinatorial optimization problems such as integer factorization because of its fast search ability.
Bowen Sun +10 more
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Exactly Solvable Balanced Tenable Urns with Random Entries via the Analytic Methodology [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 This paper develops an analytic theory for the study of some Pólya urns with random rules. The idea is to extend the isomorphism theorem in Flajolet et al.
Basile Morcrette, Hosam M. Mahmoud
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Volume Laws for Boxed Plane Partitions and Area Laws for Ferrers Diagrams [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 We asymptotically analyse the volume random variables of general, symmetric and cyclically symmetric plane partitions fitting inside a box. We consider the respective symmetry class equipped with the uniform distribution.
Uwe Schwerdtfeger
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The Size of the rth Smallest Component in Decomposable Structures with a Restricted Pattern [PDF]
Discrete Mathematics & Theoretical Computer Science, 2007 In our previous work [paper1], we derived an asymptotic expression for the probability that a random decomposable combinatorial structure of size n in the \exp -\log class has a given restricted pattern.
Li Dong, Zhicheng Gao, Daniel Panario
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Possibilities determine the combinatorial structure of probability polytopes [PDF]
Journal of Mathematical Psychology, 2016 We study the set of no-signalling empirical models on a measurement scenario, and show that the combinatorial structure of the no-signalling polytope is completely determined by the possibilistic information given by the support of the models. This is a special case of a general result which applies to all polytopes presented in a standard form, given ...
Abramsky, S +4 more
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Scientific Creativity: Discovery and Invention as Combinatorial
Frontiers in Psychology, 2021 Although scientific creativity has often been described as combinatorial, the description is usually insufficiently formulated to count as a precise scientific explanation.
Dean Keith Simonton
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A Combinatorial Model for Determining Information Loss in Organizational and Technical Systems
Mathematics, 2022 A combinatorial model is proposed for determining the probability and information losses in an organizational and technical system (OTS) under destructive external influences.
Alexey V. Yakovlev +3 more
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Concentration optimization of combinatorial drugs using Markov chain-based models
BMC Bioinformatics, 2021 Background Combinatorial drug therapy for complex diseases, such as HSV infection and cancers, has a more significant efficacy than single-drug treatment.
Shuang Ma +4 more
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