Balanced Identification as an Intersection of Optimization and Distributed Computing

Abstract

Technology of formal quantitative estimation of the conformity of the mathematical models to the available dataset is presented. Main purpose of the technology is to make easier the model selection decision-making process for the researcher. The technology is a combination of approaches from the areas of data analysis, optimization and distributed computing including: cross-validation and regularization methods, algebraic modelling in optimization and methods of optimization, automatic discretization of differential and integral equation, optimization REST-services. The technology is illustrated by a demo case study. General mathematical formulation of the method is presented. It is followed by description of the main aspects of algorithmic and software implementation. Success story list of the presented approach already is rather long. Nevertheless, domain of applicability and important unresolved issues are discussed.