The role of information measures in the determination of the maximum entropy-minimum norm solution of the generalized inverse problem

DOI10.1063/1.532184zbMath0895.35112OpenAlexW2077683028MaRDI QIDQ4384800

G. D. Yen, H. G. Miller, Angel Plastino, Angel Ricardo Plastino

Publication date: 20 September 1998

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.532184

zbMATH Keywords

approximate solutionsdifferent information measuresmaximum entropy-minimum norm method

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Measures of information, entropy (94A17)

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On the inference of entangled states: a maximum-entropy-minimum-norm approach

Cites Work

• Some comments on Boltzmann-Gibbs statistical mechanics
• Possible generalization of Boltzmann-Gibbs statistics.
• Information theory, approximate time dependent solutions of Boltzmann's equation and Tsallis' entropy
• Solving differential equations by a maximum entropy–minimum norm method with applications to Fokker–Planck equations
• Solution to boundary value problems using the method of maximum entropy
• Statistical-Mechanical Foundation of the Ubiquity of Lévy Distributions in Nature
• Dynamic Linear Response Theory for a Nonextensive System Based on the Tsallis Prescription
• Properties of q-entropies
• Standard thermal statistics with q-entropies
• Non-standard thermal statistics with q-entropies
• Invariant of dynamical systems: A generalized entropy

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