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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

Estimating the effort of software systems is an essential topic in software engineering, carrying out an estimation process reliably and accurately for a software forms a vital part of the software development phases. Many researchers have…

Software Engineering · Computer Science 2018-05-03 Najla Akram , AL-Saati , Taghreed Riyadh Alreffaee

Multi Expression Programming (MEP) is a Genetic Programming variant that uses a linear representation of chromosomes. MEP individuals are strings of genes encoding complex computer programs. When MEP individuals encode expressions, their…

Neural and Evolutionary Computing · Computer Science 2021-10-04 Mihai Oltean

Semantic GP is a promising approach that introduces semantic awareness during genetic evolution. This paper presents a new Semantic GP approach based on Dynamic Target (SGP-DT) that divides the search problem into multiple GP runs. The…

Neural and Evolutionary Computing · Computer Science 2020-02-03 Stefano Ruberto , Valerio Terragni , Jason H. Moore

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

In symbolic regression, the goal is to find an analytical expression that accurately fits experimental data with the minimal use of mathematical symbols such as operators, variables, and constants. However, the combinatorial space of…

Machine Learning · Computer Science 2023-04-21 Tommaso Bendinelli , Luca Biggio , Pierre-Alexandre Kamienny

The primary aim of automated performance improvement is to reduce the running time of programs while maintaining (or improving on) functionality. In this paper, Genetic Programming is used to find performance improvements in regular…

Neural and Evolutionary Computing · Computer Science 2017-04-14 Brendan Cody-Kenny , Michael Fenton , Adrian Ronayne , Eoghan Considine , Thomas McGuire , Michael O'Neill

Evolving neural network architectures is a computationally demanding process. Traditional methods often require an extensive search through large architectural spaces and offer limited understanding of how structural modifications influence…

Neural and Evolutionary Computing · Computer Science 2026-01-14 Davide Farinati , Frederico J. J. B. Santos , Leonardo Vanneschi , Mauro Castelli

Learning ensembles by bagging can substantially improve the generalization performance of low-bias, high-variance estimators, including those evolved by Genetic Programming (GP). To be efficient, modern GP algorithms for evolving (bagging)…

Neural and Evolutionary Computing · Computer Science 2021-02-08 Marco Virgolin

The Interaction-Transformation (IT) is a new representation for Symbolic Regression that restricts the search space into simpler, but expressive, function forms. This representation has the advantage of creating a smoother search space…

Machine Learning · Computer Science 2020-09-22 Fabricio Olivetti de Franca , Guilherme Seidyo Imai Aldeia

Symbolic regression refers to the task of finding a closed-form mathematical expression to fit a set of data points. Genetic programming based techniques are the most common algorithms used to tackle this problem, but recently,…

Machine Learning · Computer Science 2025-10-10 Ryan T. Tymkow , Benjamin D. Schnapp , Mojtaba Valipour , Ali Ghodshi

Symbolic regression (SR), the task of discovering mathematical expressions that best describe a given dataset, remains a fundamental challenge in scientific discovery. Traditional approaches, primarily based on genetic algorithms and…

Artificial Intelligence · Computer Science 2026-05-06 Hao Liu , Xiao-Wen Yang , Atharva Sehgal , Yixin Wang , Lan-Zhe Guo , Yu-Feng Li , Yisong Yue

Symbolic Regression (SR) algorithms attempt to learn analytic expressions which fit data accurately and in a highly interpretable manner. Conventional SR suffers from two fundamental issues which we address here. First, these methods search…

Cosmology and Nongalactic Astrophysics · Physics 2024-08-05 Deaglan J. Bartlett , Harry Desmond , Pedro G. Ferreira

Symbolic regression is essential for deriving interpretable expressions that elucidate complex phenomena by exposing the underlying mathematical and physical relationships in data. In this paper, we present an advanced symbolic regression…

Machine Learning · Computer Science 2025-03-13 Sikai Huang , Yixin Berry Wen , Tara Adusumilli , Kusum Choudhary , Haizhao Yang

Language models (LMs) pre-trained on massive amounts of text, in particular bidirectional encoder representations from Transformers (BERT), generative pre-training (GPT), and GPT-2, have become a key technology for many natural language…

Computation and Language · Computer Science 2021-10-04 Xianrui Zheng , Chao Zhang , Philip C. Woodland

Symbolic regression has recently gained traction in AI-driven scientific discovery, aiming to recover explicit closed-form expressions from data that reveal underlying physical laws. Despite recent advances, existing methods remain…

Methodology · Statistics 2026-03-02 Somjit Roy , Pritam Dey , Bani K. Mallick

Many recent studies focus on developing mechanisms to explain the black-box behaviors of neural networks (NNs). However, little work has been done to extract the potential hidden semantics (mathematical representation) of a neural network.…

Machine Learning · Computer Science 2022-04-25 Yuanzhen Luo , Qiang Lu , Xilei Hu , Jake Luo , Zhiguang Wang

Premature convergence is one of the important issues while using Genetic Programming for data modeling. It can be avoided by improving population diversity. Intelligent genetic operators can help to improve the population diversity.…

Neural and Evolutionary Computing · Computer Science 2013-04-15 Hardik M. Parekh , Vipul K. Dabhi

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 investigate the addition of constraints on the function image and its derivatives for the incorporation of prior knowledge in symbolic regression. The approach is called shape-constrained symbolic regression and allows us to enforce e.g.…

Neural and Evolutionary Computing · Computer Science 2021-06-01 Gabriel Kronberger , Fabricio Olivetti de França , Bogdan Burlacu , Christian Haider , Michael Kommenda
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