Results 11 to 20 of about 81 (80)
F‐Manifolds and geometry of information
Bulletin of the London Mathematical Society, Volume 52, Issue 5, Page 777-792, October 2020., 2020 Abstract The theory of F‐manifolds, and more generally, manifolds endowed with commutative and associative multiplication of their tangent fields, was discovered and formalised in various models of quantum field theory involving algebraic and analytic geometry, at least since the 1990s. The focus of this paper consists in the demonstration that various
Noémie Combe, Yuri I. Manin
wiley +1 more source
International Journal of Stochastic Analysis, Volume 16, Issue 3, Page 209-231, 2003., 2003 Sensitivity of output of a linear operator to its input can be quantified in various ways. In Control Theory, the input is usually interpreted as disturbance and the output is to be minimized in some sense. In stochastic worst‐case design settings, the disturbance is considered random with imprecisely known probability distribution.
Phil Diamond +2 more
wiley +1 more source
Weighted additive information measures
International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 3, Page 417-423, 1990., 1990 We determine all measurable functions I, G, L : [0, 1] → ℝ satisfying the functional equation for P ∈ Γn, Q ∈ Γm and for a fixed pair (n, m), n ≥ 3, m ≥ 3, where G(0) = L(0) = 0 and G(1) = L(1) = 1. This functional equation has interesting applications in information theory.
Wolfgang Sander
wiley +1 more source
A measure of mutual divergence among a number of probability distributions
International Journal of Mathematics and Mathematical Sciences, Volume 10, Issue 3, Page 597-607, 1987., 1986 The principle of optimality of dynamic programming is used to prove three major inequalities due to Shannon, Renyi and Holder. The inequalities are then used to obtain some useful results in information theory. In particular measures are obtained to measure the mutual divergence among two or more probability distributions.
J. N. Kapur, Vinod Kumar, Uma Kumar
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 3, Page 545-550, 1986., 1986 In this series, this paper is devoted to the study of a functional equation connected with the characterization of weighted entropy and weighted entropy of degree β. Here, we find the general solution of the functional equation (2) on an open domain, without using 0‐probability and 1‐probability.
Pl. Kannappan, P. K. Sahoo
wiley +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.Measures of uncertainty such as entropy, extropy, varentropy, and varextropy play a fundamental role in statistical modeling and information analysis of probability distributions. In this article, we present and examine the variance of generalized extropy, providing a detailed investigation of its mathematical structure and theoretical characteristics.
Mohamed Said Mohamed +2 more
wiley +1 more source
Complexities of information sources. [PDF]
J Appl Stat, 2023 Sayyari Y, Molaei MR, Mehrpooya A.
europepmc +1 more source
Logical Entropy of Information Sources. [PDF]
Entropy (Basel), 2022 Xu P, Sayyari Y, Butt SI.
europepmc +1 more source
Kernel Estimation of Cumulative Residual Tsallis Entropy and Its Dynamic Version under ρ-Mixing Dependent Data. [PDF]
Entropy (Basel), 2021 Irshad MR +3 more
europepmc +1 more source
Refined Young Inequality and Its Application to Divergences. [PDF]
Entropy (Basel), 2021 Furuichi S, Minculete N.
europepmc +1 more source