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Beagle is a new software framework that enables execution of Genetic Programming tasks on the GPU. Currently available for symbolic regression, it processes individuals of the population and fitness cases for training in a way that…

Neural and Evolutionary Computing · Computer Science 2026-03-16 Nathan Haut , Ilya Basin , Marzieh Kianinejad , Ruchika Gupta , Elijah Smith , Zachary Perrico , Wolfgang Banzhaf

Recently, Visual Programming (VP) based on large language models (LLMs) has rapidly developed and demonstrated significant potential in complex Visual Reasoning (VR) tasks. Previous works to enhance VP have primarily focused on improving…

Computer Vision and Pattern Recognition · Computer Science 2025-12-17 Wentao Wan , Kaiyu Wu , Qingyang Ma , Nan Kang , Yunjie Chen , Liang Lin , Keze Wang

In this paper we introduce an active learning method for symbolic regression using StackGP. The approach begins with a small number of data points for StackGP to model. To improve the model the system incrementally adds a data point such…

Machine Learning · Computer Science 2022-02-11 Nathan Haut , Wolfgang Banzhaf , Bill Punch

Research on Poisson regression analysis for dependent data has been developed rapidly in the last decade. One of difficult problems in a multivariate case is how to construct a cross-correlation structure and at the meantime make sure that…

Methodology · Statistics 2017-10-05 A'yunin Sofro , Jian Qing Shi , Chunzheng Cao

Solutions of symbolic regression problems are expressions that are composed of input variables and operators from a finite set of function symbols. One measure for evaluating symbolic regression algorithms is their ability to recover…

Machine Learning · Computer Science 2025-06-25 Paul Kahlmeyer , Markus Fischer , Joachim Giesen

Contemporary genetic programming (GP) systems for general program synthesis have been primarily concerned with evolving programs that can manipulate values from a standard set of primitive data types and simple indexed data structures. In…

Neural and Evolutionary Computing · Computer Science 2023-06-09 Edward Pantridge , Thomas Helmuth

We describe and analyze algorithms for shape-constrained symbolic regression, which allows the inclusion of prior knowledge about the shape of the regression function. This is relevant in many areas of engineering -- in particular whenever…

Neural and Evolutionary Computing · Computer Science 2021-07-21 Christian Haider , Fabricio Olivetti de França , Bogdan Burlacu , Gabriel Kronberger

Collective behaviors are typically hard to model. The scale of the swarm, the large number of interactions, and the richness and complexity of the behaviors are factors that make it difficult to distill a collective behavior into simple…

Multiagent Systems · Computer Science 2022-05-03 Stephen Powers , Carlo Pinciroli

Identifying the mathematical relationships that best describe a dataset remains a very challenging problem in machine learning, and is known as Symbolic Regression (SR). In contrast to neural networks which are often treated as black boxes,…

Machine Learning · Computer Science 2023-01-10 Tony Tohme , Dehong Liu , Kamal Youcef-Toumi

Over the years, genetic programming (GP) has evolved, with many proposed variations, especially in how they represent a solution. Being essentially a program synthesis algorithm, it is capable of tackling multiple problem domains. Current…

Neural and Evolutionary Computing · Computer Science 2025-04-15 Roman Kalkreuth , Fabricio Olivetti de França , Julian Dierkes , Marie Anastacio , Anja Jankovic , Zdenek Vasicek , Holger Hoos

We introduce a data-driven framework to automatically identify interpretable and physically meaningful hyperelastic constitutive models from sparse data. Leveraging symbolic regression, an algorithm based on genetic programming, our…

Symbolic Computation · Computer Science 2025-01-14 Jixin Hou , Xianyan Chen , Taotao Wu , Ellen Kuhl , Xianqiao Wang

To solve Math Word Problems, human students leverage diverse reasoning logic that reaches different possible equation solutions. However, the mainstream sequence-to-sequence approach of automatic solvers aims to decode a fixed solution…

Computation and Language · Computer Science 2022-12-01 Yibin Shen , Qianying Liu , Zhuoyuan Mao , Zhen Wan , Fei Cheng , Sadao Kurohashi

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,…

Disease-gene prediction (DGP) refers to the computational challenge of predicting associations between genes and diseases. Effective solutions to the DGP problem have the potential to accelerate the therapeutic development pipeline at early…

Machine Learning · Computer Science 2019-07-15 Vikash Singh , Pietro Lio'

Symbolic regression (SR) aims to find symbolic expressions that describe datasets. Due to its inherent interpretability, is a powerful paradigm for scientific discovery. Recent advances have expanded SR to describe related phenomena using a…

Machine Learning · Computer Science 2026-03-31 Viktor Martinek , Roland Herzog

We describe a method for the identification of models for dynamical systems from observational data. The method is based on the concept of symbolic regression and uses genetic programming to evolve a system of ordinary differential…

Machine Learning · Computer Science 2021-07-14 Gabriel Kronberger , Lukas Kammerer , Michael Kommenda

Symbolic regression discovers explicit, interpretable equations without assuming a functional form in advance. A Bayesian approach strengthens this through probability distributions over candidate expressions, thus quantifying uncertainty…

Machine Learning · Computer Science 2026-05-05 James Butterworth , Gevik Grigorian , Alejandro DiazDelaO

The definition of a concise and effective testbed for Genetic Programming (GP) is a recurrent matter in the research community. This paper takes a new step in this direction, proposing a different approach to measure the quality of the…

Neural and Evolutionary Computing · Computer Science 2018-05-29 Luiz Otavio Vilas Boas Oliveira , Joao Francisco Barreto da Silva Martins , Luis Fernando Miranda , Gisele Lobo Pappa

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

Describing the world behavior through mathematical functions help scientists to achieve a better understanding of the inner mechanisms of different phenomena. Traditionally, this is done by deriving new equations from first principles and…

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