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Symbolic regression is a machine learning method with the goal to produce interpretable results. Unlike other machine learning methods such as, e.g. random forests or neural networks, which are opaque, symbolic regression aims to model and…

Machine Learning · Computer Science 2024-06-07 Yousef A. Radwan , Gabriel Kronberger , Stephan Winkler

Symbolic regression, as one of the most crucial tasks in AI for science, discovers governing equations from experimental data. Popular approaches based on genetic programming, Monte Carlo tree search, or deep reinforcement learning learn…

Neural and Evolutionary Computing · Computer Science 2023-09-18 Nan Jiang , Yexiang Xue

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

Linear Genetic Programming (LGP) is a powerful technique that allows for a variety of problems to be solved using a linear representation of programs. However, there still exists some limitations to the technique, such as the need for…

Neural and Evolutionary Computing · Computer Science 2026-01-16 Urmzd Mukhammadnaim

We develop faultless, fixed-depth, string-based, prefix and postfix symbolic regression grammars, capable of producing \emph{any} expression from a set of operands, unary operators and/or binary operators. Using these grammars, we outline…

Symbolic Computation · Computer Science 2024-10-11 Edward Finkelstein

We introduce the use of high order automatic differentiation, implemented via the algebra of truncated Taylor polynomials, in genetic programming. Using the Cartesian Genetic Programming encoding we obtain a high-order Taylor representation…

Neural and Evolutionary Computing · Computer Science 2016-11-16 Dario Izzo , Francesco Biscani , Alessio Mereta

The problem of symbolic regression (SR) arises in many different applications, such as identifying physical laws or deriving mathematical equations describing the behavior of financial markets from given data. Various methods exist to…

Artificial Intelligence · Computer Science 2025-05-07 Philipp Scholl , Katharina Bieker , Hillary Hauger , Gitta Kutyniok

Genetic programming (GP) is an evolutionary computation technique to solve problems in an automated, domain-independent way. Rather than identifying the optimum of a function as in more traditional evolutionary optimization, the aim of GP…

Neural and Evolutionary Computing · Computer Science 2019-05-15 Andrei Lissovoi , Pietro S. Oliveto

The search for symbolic regression models with genetic programming (GP) has a tendency of revisiting expressions in their original or equivalent forms. Repeatedly evaluating equivalent expressions is inefficient, as it does not immediately…

Machine Learning · Computer Science 2025-04-09 Fabricio Olivetti de Franca , Gabriel Kronberger

Gene expression programming is an evolutionary optimization algorithm with the potential to generate interpretable and easily implementable equations for regression problems. Despite knowledge gained from previous optimizations being…

Neural and Evolutionary Computing · Computer Science 2025-02-05 Maximilian Reissmann , Yuan Fang , Andrew S. H. Ooi , Richard D. Sandberg

The reconstruction of particle tracks from hits in tracking detectors is a computationally intensive task due to the large combinatorics of detector signals. Recent efforts have proven that ML techniques can be successfully applied to the…

High Energy Physics - Experiment · Physics 2024-11-19 Nathalie Soybelman , Carlo Schiavi , Francesco A. Di Bello , Eilam Gross

In recent years, genetic programming (GP)-based evolutionary feature construction has achieved significant success. However, a primary challenge with evolutionary feature construction is its tendency to overfit the training data, resulting…

Machine Learning · Computer Science 2024-05-14 Hengzhe Zhang , Qi Chen , Bing Xue , Wolfgang Banzhaf , Mengjie Zhang

Genetic Programming (GP) is an evolutionary algorithm commonly used for machine learning tasks. In this paper we present a method that allows GP to transform the representation of a large-scale machine learning dataset into a more compact…

Neural and Evolutionary Computing · Computer Science 2018-02-21 Lino Rodriguez-Coayahuitl , Alicia Morales-Reyes , Hugo Jair Escalante

Symbolic regression is a powerful system identification technique in industrial scenarios where no prior knowledge on model structure is available. Such scenarios often require specific model properties such as interpretability, robustness,…

In this paper, we present a machine learning method for the discovery of analytic solutions to differential equations. The method utilizes an inherently interpretable algorithm, genetic programming based symbolic regression. Unlike…

Machine Learning · Computer Science 2023-02-08 Hongsup Oh , Roman Amici , Geoffrey Bomarito , Shandian Zhe , Robert Kirby , Jacob Hochhalter

Advances in Geometric Semantic Genetic Programming (GSGP) have shown that this variant of Genetic Programming (GP) reaches better results than its predecessor for supervised machine learning problems, particularly in the task of symbolic…

Neural and Evolutionary Computing · Computer Science 2018-04-19 Joao Francisco B. S. Martins , Luiz Otavio V. B. Oliveira , Luis F. Miranda , Felipe Casadei , Gisele L. Pappa

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

Geometric programming (GP) provides a power tool for solving a variety of optimization problems. In the real world, many applications of geometric programming (GP) are engineering design problems in which some of the problem parameters are…

Numerical Analysis · Computer Science 2010-02-08 A. K. Ojha , A. K. Das

Gaussian Processes (GPs) offer an attractive method for regression over small, structured and correlated datasets. However, their deployment is hindered by computational costs and limited guidelines on how to apply GPs beyond simple…

Machine Learning · Computer Science 2023-07-18 Kenza Tazi , Jihao Andreas Lin , Ross Viljoen , Alex Gardner , ST John , Hong Ge , Richard E. Turner

Genetic Programming (GP) has traditionally entangled the evolution of symbolic representations with their performance-based evaluation, often relying solely on raw fitness scores. This tight coupling makes GP solutions more fragile and…

Neural and Evolutionary Computing · Computer Science 2025-06-09 Nam H. Le , Josh Bongard