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Symbolic regression (SR) aims to discover closed-form mathematical expressions that accurately describe data, offering interpretability and analytical insight beyond standard black-box models. Existing SR methods often rely on…

Machine Learning · Computer Science 2025-06-17 Mansooreh Montazerin , Majd Al Aawar , Antonio Ortega , Ajitesh Srivastava

Symbolic Regression aims to automatically identify compact and interpretable mathematical expressions that model the functional relationship between input and output variables. Most existing search-based symbolic regression methods…

Machine Learning · Computer Science 2026-01-22 Jianwen Sun , Xinrui Li , Fuqing Li , Xiaoxuan Shen

The extensive adoption of Deep Neural Networks has led to their increased utilization in challenging scientific visualization tasks. Recent advancements in building compressed data models using implicit neural representations have shown…

Machine Learning · Computer Science 2025-10-20 Abhay Kumar Dwivedi , Shanu Saklani , Soumya Dutta

Medical decision-making makes frequent use of algorithms that combine risk equations with rules, providing clear and standardized treatment pathways. Symbolic regression (SR) traditionally limits its search space to continuous function…

Numerous phenomenological nuclear models have been proposed to describe specific observables within different regions of the nuclear chart. However, developing a unified model that describes the complex behavior of all nuclei remains an…

Nuclear Theory · Physics 2025-05-14 Jose M. Munoz , Silviu M. Udrescu , Ronald F. Garcia Ruiz

We propose and study a method for learning interpretable representations for the task of regression. Features are represented as networks of multi-type expression trees comprised of activation functions common in neural networks in addition…

Neural and Evolutionary Computing · Computer Science 2019-03-26 William La Cava , Tilak Raj Singh , James Taggart , Srinivas Suri , Jason H. Moore

This paper revisits datasets and evaluation criteria for Symbolic Regression (SR), specifically focused on its potential for scientific discovery. Focused on a set of formulas used in the existing datasets based on Feynman Lectures on…

Machine Learning · Computer Science 2025-01-06 Yoshitomo Matsubara , Naoya Chiba , Ryo Igarashi , Yoshitaka Ushiku

Symbolic regression seeks to uncover physical laws from experimental data by searching for closed-form expressions, which is an important task in AI-driven scientific discovery. Yet the exponential growth of the search space of expression…

Symbolic Computation · Computer Science 2026-02-13 Nan Jiang , Ziyi Wang , Yexiang Xue

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

Symbolic regression aims to find interpretable analytical expressions by searching over mathematical formula spaces to capture underlying system behavior, particularly in scientific modeling governed by physical laws. However, traditional…

Machine Learning · Computer Science 2025-10-09 Yunpeng Gong , Sihan Lan , Can Yang , Kunpeng Xu , Min Jiang

Discovering the underlying mathematical expressions describing a dataset is a core challenge for artificial intelligence. This is the problem of $\textit{symbolic regression}$. Despite recent advances in training neural networks to solve…

Machine Learning · Computer Science 2022-07-06 Brenden K. Petersen , Mikel Landajuela , T. Nathan Mundhenk , Claudio P. Santiago , Soo K. Kim , Joanne T. Kim

Prototypical part learning is emerging as a promising approach for making semantic segmentation interpretable. The model selects real patches seen during training as prototypes and constructs the dense prediction map based on the similarity…

Computer Vision and Pattern Recognition · Computer Science 2025-04-29 Hugo Porta , Emanuele Dalsasso , Diego Marcos , Devis Tuia

As power systems evolve with the increasing integration of renewable energy sources and smart grid technologies, there is a growing demand for flexible and scalable modeling approaches capable of capturing the complex dynamics of modern…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Amir Bahador Javadi , Philip Pong

Symbolic regression is an important but challenging research topic in data mining. It can detect the underlying mathematical models. Genetic programming (GP) is one of the most popular methods for symbolic regression. However, its…

Data Structures and Algorithms · Computer Science 2017-05-16 Chen Chen , Changtong Luo , Zonglin Jiang

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

We explore the use of symbolic regression to derive compact analytical expressions for angular observables relevant to electroweak boson production at the Large Hadron Collider (LHC). Focusing on the angular coefficients that govern the…

High Energy Physics - Phenomenology · Physics 2025-12-05 Josh Bendavid , Daniel Conde , Manuel Morales-Alvarado , Veronica Sanz , Maria Ubiali

Analyzing a visual scene by inferring the configuration of a generative model is widely considered the most flexible and generalizable approach to scene understanding. Yet, one major problem is the computational challenge of the inference…

Computer Vision and Pattern Recognition · Computer Science 2024-06-28 Alpha Renner , Lazar Supic , Andreea Danielescu , Giacomo Indiveri , Bruno A. Olshausen , Yulia Sandamirskaya , Friedrich T. Sommer , E. Paxon Frady

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

Symbolic regression (SR) is an emerging branch of machine learning focused on discovering simple and interpretable mathematical expressions from data. Although a wide-variety of SR methods have been developed, they often face challenges…

Machine Learning · Computer Science 2025-02-06 Madhav R. Muthyala , Farshud Sorourifar , You Peng , Joel A. Paulson