Abstract: We prove a number of quantitative stability bounds for the cases of equality in Petz's monotonicity theorem for quasi-relative entropies S f (p||σ) defined in terms of an operator monotone ...
The Bayesian approach to statistical inference and other data analysis tasks gets its name from Bayes’s theorem (BT). BT specifies that a posterior probability for a hypothesis concerning a data ...
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Abstract: This article presents a Lyapunov formulation of the small-gain theorem for the finite-time input-to-state stability (FTISS) of an interconnected nonlinear system composed of two or more ...
The Nash equilibrium is the fundamental solution concept of game theory, playing a central role in fields beyond economics. Nash’s existence proof is famously nonconstructive, and the dynamics ...
Article subjects are automatically applied from the ACS Subject Taxonomy and describe the scientific concepts and themes of the article. The concept of covalent chemical bonding is central to the ...
Caroline Banton has 6+ years of experience as a writer of business and finance articles. She also writes biographies for Story Terrace. Michael Boyle is an experienced financial professional with more ...
Department of Mathematics, Dayalbagh Educational Institute, Agra, India. Department of Mathematics, G.L.A. College, N.P. University, Daltonganj, India. Department of ...