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Symbolic regression, the task of predicting the mathematical expression of a function from the observation of its values, is a difficult task which usually involves a two-step procedure: predicting the "skeleton" of the expression up to the…

机器学习 · 计算机科学 2022-04-25 Pierre-Alexandre Kamienny , Stéphane d'Ascoli , Guillaume Lample , François Charton

Symbolic regression (SR) is a powerful technique for discovering the analytical mathematical expression from data, finding various applications in natural sciences due to its good interpretability of results. However, existing methods face…

机器学习 · 计算机科学 2024-07-11 Xieting Chu , Hongjue Zhao , Enze Xu , Hairong Qi , Minghan Chen , Huajie Shao

Symbolic regression is the process of identifying mathematical expressions that fit observed output from a black-box process. It is a discrete optimization problem generally believed to be NP-hard. Prior approaches to solving the problem…

神经与进化计算 · 计算机科学 2021-11-19 T. Nathan Mundhenk , Mikel Landajuela , Ruben Glatt , Claudio P. Santiago , Daniel M. Faissol , Brenden K. Petersen

Symbolic regression is a technique that can automatically derive analytic models from data. Traditionally, symbolic regression has been implemented primarily through genetic programming that evolves populations of candidate solutions…

神经与进化计算 · 计算机科学 2025-04-24 Jiří Kubalík , Robert Babuška

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…

机器学习 · 计算机科学 2024-06-07 Yousef A. Radwan , Gabriel Kronberger , Stephan Winkler

Symbolic regression (SR) is the task of learning a model of data in the form of a mathematical expression. By their nature, SR models have the potential to be accurate and human-interpretable at the same time. Unfortunately, finding such…

神经与进化计算 · 计算机科学 2022-07-12 Marco Virgolin , Solon P. Pissis

We present a method for generating training data for reinforcement learning with verifiable rewards to improve small open-weights language models on mathematical tasks. Existing data generation approaches rely on open-loop pipelines and…

机器学习 · 计算机科学 2026-02-24 Teresa Yeo , Myeongho Jeon , Dulaj Weerakoon , Rui Qiao , Alok Prakash , Armando Solar-Lezama , Archan Misra

We investigate the data-driven discovery of parametric representations for implied volatility slices. Using symbolic regression, we search for simple analytic formulas that approximate the total implied variance as a function of…

数理金融 · 定量金融 2026-03-24 Martin Keller-Ressel , Hannes Nikulski

We propose a novel symbolic modeling framework for decision-making under risk that merges interpretability with the core insights of Prospect Theory. Our approach replaces opaque utility curves and probability weighting functions with…

人工智能 · 计算机科学 2025-04-22 Ali Arslan Yousaf , Umair Rehman , Muhammad Umair Danish

[RETRACTED]Data increasingly abounds, but distilling their underlying relationships down to something interpretable remains challenging. One approach is genetic programming, which `symbolically regresses' a data set down into an equation.…

神经与进化计算 · 计算机科学 2025-10-23 Amanda Bertschinger , James Bagrow , Joshua Bongard

This paper describes a new method for Symbolic Regression that allows to find mathematical expressions from a dataset. This method has a strong mathematical basis. As opposed to other methods such as Genetic Programming, this method is…

机器学习 · 计算机科学 2022-03-22 Daniel Rivero , Enrique Fernandez-Blanco

Symbolic regression is a machine learning technique that can learn the governing formulas of data and thus has the potential to transform scientific discovery. However, symbolic regression is still limited in the complexity and…

机器学习 · 计算机科学 2023-05-30 Michael Zhang , Samuel Kim , Peter Y. Lu , Marin Soljačić

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…

统计方法学 · 统计学 2026-03-02 Somjit Roy , Pritam Dey , Bani K. Mallick

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…

Symbolic Regression is the study of algorithms that automate the search for analytic expressions that fit data. While recent advances in deep learning have generated renewed interest in such approaches, the development of symbolic…

天体物理仪器与方法 · 物理学 2023-12-27 Wassim Tenachi , Rodrigo Ibata , Foivos I. Diakogiannis

Symbolic control problems aim to synthesize control policies for dynamical systems under complex temporal specifications. For such problems, Signal Temporal Logic (STL) is increasingly used as the formal specification language due to its…

系统与控制 · 电气工程与系统科学 2023-05-17 Shirantha Welikala , Hai Lin , Panos J. Antsaklis

Symbolic Regression tries to find a mathematical expression that describes the relationship of a set of explanatory variables to a measured variable. The main objective is to find a model that minimizes the error and, optionally, that also…

人工智能 · 计算机科学 2018-02-27 Fabricio Olivetti de Franca

Machine learning is often applied in health science to obtain predictions and new understandings of complex phenomena and relationships, but an availability of sufficient data for model training is a widespread problem. Traditional machine…

机器学习 · 计算机科学 2021-05-18 Casper Wilstrup , Jaan Kasak

Symbolic regression (SR) is the task of discovering a symbolic expression that fits a given data set from the space of mathematical expressions. Despite the abundance of research surrounding the SR problem, there's a scarcity of works that…

计算复杂性 · 计算机科学 2024-04-23 Jinglu Song , Qiang Lu , Bozhou Tian , Jingwen Zhang , Jake Luo , Zhiguang Wang

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,…

机器学习 · 计算机科学 2023-01-10 Tony Tohme , Dehong Liu , Kamal Youcef-Toumi