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Avtometriya

2026 year, number 2

USING A HOUGH-TYPE SPACE FOR COMPETING MODELS OF INTERACTIONS BETWEEN PARTICULAR REGULARITIES

A.P. Vinogradov1, E.M. Angalt2
1Federal research center "Computer science and control" of the RAS, Moscow, Russia
2Orenburg State Agrarian University
orenburg. russia
Keywords: parameterization, Hough transform, particular regularity, generalized precedent (GP), integral quantity

Abstract

The problem of effectively using domain-specific knowledge based on representative statistics is relevant from various perspectives. The methods used to utilize reliable a priori information are diverse and often specialized for each specific data analysis problem. The paper describes an approach to this problem in which solutions are developed from a unified perspective based on the use of a multidimensional analogue of the Hough transform. The approach offers new possibilities for solving two important problems: it proposes a unified method for constructing models of interactions between known particular regularities, and uses the minima of the discrepancy measure found in the Hough space as a tool for model optimization.