Automated differential equation solver based on the parametric approximation optimization

A Hvatov - Mathematics, 2023 - mdpi.com
The classical numerical methods for differential equations are a well-studied field.
Nevertheless, these numerical methods are limited in their scope to certain classes of …

Improvement of Computational Performance of Evolutionary AutoML in a Heterogeneous Environment

NO Nikitin, S Teryoshkin, V Pokrovskii… - 2023 IEEE Congress …, 2023 - ieeexplore.ieee.org
Resource-intensive computations are a major factor that limits the effectiveness of
automated machine learning solutions. In the paper, we propose a modular approach that …

Directed differential equation discovery using modified mutation and cross-over operators

E Ivanchik, A Hvatov - 2023 IEEE Congress on Evolutionary …, 2023 - ieeexplore.ieee.org
The discovery of equations with knowledge of the process origin is a tempting prospect.
However, most equation discovery tools rely on gradient methods, which offer limited control …

Comparison of Single-and Multi-Objective Optimization Quality for Evolutionary Equation Discovery

M Maslyaev, A Hvatov - Proceedings of the Companion Conference on …, 2023 - dl.acm.org
Evolutionary differential equation discovery proved to be a tool to obtain equations with less
a priori assumptions than conventional approaches, such as sparse symbolic regression …

Interpretable Structural Analysis for Evolutionary Generative Design of Coastal Breakwaters

DO Sidorenko, NO Starodubcev, M Pinchuk… - … Learning Algorithms and …, 2023 - Springer
This paper presents an interpretable approach for the generative design of coastal
breakwaters that combines evolutionary optimization and structural analysis of solutions. It …

[HTML][HTML] Multiobjective evolutionary discovery of equation-based analytical models for dynamical systems

MA Maslyaev, AA Hvatov - Научно-технический вестник …, 2023 - cyberleninka.ru
In this article, an approach to modeling dynamical systems in case of unknown governing
physical laws has been introduced. The systems of differential equations obtained by means …

Multiobjective evolutionary discovery of equation-based analytical models for dynamical systems

AA Hvatov - Journal Scientific and Technical Of Information …, 2023 - ntv.ifmo.ru
In this article, an approach to modeling dynamical systems in case of unknown governing
physical laws has been introduced. The systems of differential equations obtained by means …