18 citations · 37 across the 7 of their papers we have counts for
8 papers
Analysis and Optimization of Probabilities of Beneficial Mutation and Crossover Recombination in a Hamming Space
Roman V. Belavkin
Inspired by Fisher's geometric approach to study beneficial mutations, we analyse probabilities of beneficial mutation and crossover recombination of strings in a general Hamming s…
Value of Information in the Mean-Square Case and its Application to the Analysis of Financial Time-Series Forecast
Roman Belavkin, Panos Pardalos, Jose Principe
The advances and development of various machine learning techniques has lead to practical solutions in various areas of science, engineering, medicine and finance. The great choice…
Relation between the Kantorovich-Wasserstein metric and the Kullback-Leibler divergence
Roman V. Belavkin
We discuss a relation between the Kantorovich-Wasserstein (KW) metric and the Kullback-Leibler (KL) divergence. The former is defined using the optimal transport problem (OTP) in t…
Asymmetric Topologies on Statistical Manifolds
Roman V. Belavkin
Asymmetric information distances are used to define asymmetric norms and quasimetrics on the statistical manifold and its dual space of random variables. Quasimetric topology, gene…
Asymmetry of Risk and Value of Information
Roman V. Belavkin
The von Neumann and Morgenstern theory postulates that rational choice under uncertainty is equivalent to maximization of expected utility (EU). This view is mathematically appeali…
Monotonicity of Fitness Landscapes and Mutation Rate Control
Roman V. Belavkin, Alastair Channon, Elizabeth Aston +3
A common view in evolutionary biology is that mutation rates are minimised. However, studies in combinatorial optimisation and search have shown a clear advantage of using variable…
Optimal measures and Markov transition kernels
Roman V. Belavkin
We study optimal solutions to an abstract optimization problem for measures, which is a generalization of classical variational problems in information theory and statistical physi…
Conservation Law of Utility and Equilibria in Non-Zero Sum Games
Roman V. Belavkin
This short note demonstrates how one can define a transformation of a non-zero sum game into a zero sum, so that the optimal mixed strategy achieving equilibrium always exists. The…