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Symbolic regression searches for analytic expressions that accurately describe studied phenomena. The main attraction of this approach is that it returns an interpretable model that can be insightful to users. Historically, the majority of…

Analytical solutions to differential equations offer exact, interpretable insight but are rarely available because discovering them requires expert intuition or exhaustive search of combinatorial spaces. We introduce SIGS, a neuro-symbolic…

Machine Learning · Computer Science 2026-05-22 Orestis Oikonomou , Levi Lingsch , Dana Grund , Siddhartha Mishra , Georgios Kissas

Transformer Semantic Genetic Programming (TSGP) is a semantic search approach that uses a pre-trained transformer model as a variation operator to generate offspring programs with high semantic similarity to a given parent. Unlike other…

Machine Learning · Computer Science 2026-05-01 Philipp Anthes , Dominik Sobania , Franz Rothlauf

Symbolic Regression (SR) enables the discovery of interpretable mathematical relationships from experimental and simulation data. These relationships are often coined descriptors which are defined as a fundamental materials property that is…

Computational Physics · Physics 2026-02-10 Udaykumar Gajera , Mohsen Sotoudeh , Kanchan Sarkar , Axel Groß

Symbolic regression that aims to detect underlying data-driven models has become increasingly important for industrial data analysis. For most existing algorithms such as genetic programming (GP), the convergence speed might be too slow for…

Neural and Evolutionary Computing · Computer Science 2017-10-31 Chen Chen , Changtong Luo , Zonglin Jiang

This study extends the use of symbolic computation in Matrix Structural Analysis (MSA) to plane (2D) trusses, building on previous work that focused on continuous beams. An open-source MATLAB program, hosted on GitHub, was developed to…

Computational Engineering, Finance, and Science · Computer Science 2024-11-26 Vagelis Plevris , Afaq Ahmad

With the increasing number of financial services available online, the rate of financial fraud has also been increasing. The traffic and transaction rates on the internet have increased considerably, leading to a need for fast…

Computational Engineering, Finance, and Science · Computer Science 2024-11-08 Prashank Kadam

The Zoetrope Genetic Programming (ZGP) algorithm is based on an original representation for mathematical expressions, targeting evolutionary symbolic regression.The zoetropic representation uses repeated fusion operations between partial…

Machine Learning · Statistics 2021-08-26 Aurélie Boisbunon , Carlo Fanara , Ingrid Grenet , Jonathan Daeden , Alexis Vighi , Marc Schoenauer

Identifying governing equations for a dynamical system is a topic of critical interest across an array of disciplines, from mathematics to engineering to biology. Machine learning -- specifically deep learning -- techniques have shown their…

Dynamical Systems · Mathematics 2026-05-07 Nibodh Boddupalli , Timothy Matchen , Jeff Moehlis

Traditional Linear Genetic Programming (LGP) algorithms are based only on the selection mechanism to guide the search. Genetic operators combine or mutate random portions of the individuals, without knowing if the result will lead to a…

Neural and Evolutionary Computing · Computer Science 2017-04-05 Léo Françoso Dal Piccol Sotto , Vinícius Veloso de Melo

We present MOGPTK, a Python package for multi-channel data modelling using Gaussian processes (GP). The aim of this toolkit is to make multi-output GP (MOGP) models accessible to researchers, data scientists, and practitioners alike. MOGPTK…

Machine Learning · Statistics 2020-02-11 Taco de Wolff , Alejandro Cuevas , Felipe Tobar

In this paper, a nonlinear symbolic regression technique using an evolutionary algorithm known as multi-gene genetic programming (MGGP) is applied for a data-driven modelling between the dependent and the independent variables. The…

Neural and Evolutionary Computing · Computer Science 2014-03-05 Indranil Pan , Daya Shankar Pandey , Saptarshi Das

In this paper, a multi-objective approach for the design of composite data-driven mathematical models is proposed. It allows automating the identification of graph-based heterogeneous pipelines that consist of different blocks: machine…

Neural and Evolutionary Computing · Computer Science 2021-05-19 Iana S. Polonskaia , Nikolay O. Nikitin , Ilia Revin , Pavel Vychuzhanin , Anna V. Kalyuzhnaya

We provide a dataset for enabling Deep Generative Models (DGMs) in engineering design and propose methods to automate data labeling by utilizing large-scale foundation models. GeoBiked is curated to contain 4 355 bicycle images, annotated…

Computer Vision and Pattern Recognition · Computer Science 2025-05-23 Phillip Mueller , Sebastian Mueller , Lars Mikelsons

We present Glyph - a Python package for genetic programming based symbolic regression. Glyph is designed for usage let by numerical simulations let by real world experiments. For experimentalists, glyph-remote provides a separation of…

Mathematical Software · Computer Science 2018-03-22 Markus Quade , Julien Gout , Markus Abel

Recently, several algorithms for symbolic regression (SR) emerged which employ a form of multiple linear regression (LR) to produce generalized linear models. The use of LR allows the algorithms to create models with relatively small error…

Machine Learning · Computer Science 2017-03-13 Jan Žegklitz , Petr Pošík

In an era where symbolic mathematical equations are indispensable for modeling complex natural phenomena, scientific inquiry often involves collecting observations and translating them into mathematical expressions. Recently, deep learning…

Machine Learning · Computer Science 2024-03-18 Kazem Meidani , Parshin Shojaee , Chandan K. Reddy , Amir Barati Farimani

Modern scientific problems are often multi-disciplinary and require integration of computer models from different disciplines, each with distinct functional complexities, programming environments, and computation times. Linked Gaussian…

Machine Learning · Statistics 2023-06-05 Deyu Ming , Daniel Williamson

Symbolic Regression is a powerful data-driven technique that searches for mathematical expressions that explain the relationship between input variables and a target of interest. Due to its efficiency and flexibility, Genetic Programming…

Cryptography and Security · Computer Science 2023-07-25 Du Nguyen Duy , Michael Affenzeller , Ramin-Nikzad Langerodi

Symbolic regression (SR) models complex systems by discovering mathematical expressions that capture underlying relationships in observed data. However, most SR methods prioritize minimizing prediction error over identifying the governing…

Machine Learning · Computer Science 2026-03-31 Giorgio Morales , John W. Sheppard