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Improving the Minimum Free Energy Principle to the Maximum Information Efficiency Principle [PDF]
EntropyFriston proposed the Minimum Free Energy Principle (FEP) based on the Variational Bayesian (VB) method. This principle emphasizes that the brain and behavior coordinate with the environment, promoting self-organization. However, it has a theoretical flaw,
Chenguang Lu
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A maximum principle for graphs
Journal of Combinatorial Theory, 1967 AbstractLet G be an infinite graph decomposing the plane into polygonal regions. We assume that there are at least 3 edges indident each vertex of G, and at least 6 edges incident with each polygonal region. We define the distance between two vertices to be the least number of edges in any path joining them.
Roger C. Lyndon
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Venus atmosphere profile from a maximum entropy principle [PDF]
Nonlinear Processes in Geophysics, 2007 The variational method with constraints recently developed by Verkley and Gerkema to describe maximum-entropy atmospheric profiles is generalized to ideal gases but with temperature-dependent specific heats.
L. N. Epele +4 more
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Mean-Field Pontryagin Maximum Principle [PDF]
Journal of Optimization Theory and Applications, 2015 We derive a maximum principle for optimal control problems with constraints given by the coupling of a system of ordinary differential equations and a partial differential equation of Vlasov type with smooth interaction kernel.
M. Bongini +3 more
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The maximum principle with lack of monotonicity
Electronic Journal of Qualitative Theory of Differential Equations, 2018 We establish a maximum principle for the weighted $(p,q)$-Laplacian, which extends the general Pucci–Serrin strong maximum principle to this quasilinear abstract setting.
Patrizia Pucci, Vicenţiu Rădulescu
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Abolishing the maximum tension principle
Physics Letters B, 2015 We find the series of example theories for which the relativistic limit of maximum tension Fmax=c4/4G represented by the entropic force can be abolished.
Mariusz P. Da̧browski, H. Gohar
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On Korenblum’s maximum principle [PDF]
Proceedings of the American Mathematical Society, 1997 Summary: If \(f\) and \(g\) are analytic functions in the unit disk and \(|\cdot|\) is the Bergman norm, conditions are studied under which there exists an absolute constant \(c\) such that \(|f(z)|\geq|g(z)|\) for \(c\leq|z|
Wilhelm Schwick
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The maximum principle and biharmonic functions
Journal of Mathematical Analysis and Applications, 1961 AbstractThis note concerns the maximum principle which applies to solutions of partial differential equations of elliptic type. This principle asserts that the maximum of a solution occurs on the boundary of a region. Consideration of the ratio of solutions of an elliptic equation shows that the ratio satisfies the same maximum principle.
R. J. Duffin
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Introduction to the Pontryagin Maximum Principle for Quantum Optimal Control [PDF]
PRX Quantum, 2020 Optimal Control Theory is a powerful mathematical tool, which has known a rapid development since the 1950s, mainly for engineering applications. More recently, it has become a widely used method to improve process performance in quantum technologies by ...
U. Boscain, M. Sigalotti, D. Sugny
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