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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

Symbolic Regression (SR) holds great potential for uncovering underlying mathematical and physical relationships from observed data. However, the vast combinatorial space of possible expressions poses significant challenges for both online…

机器学习 · 计算机科学 2025-02-12 Yuan Tian , Wenqi Zhou , Michele Viscione , Hao Dong , David Kammer , Olga Fink

Symbolic Regression (SR) holds great potential for uncovering underlying mathematical and physical relationships from observed data. However, the vast combinatorial space of possible expressions poses significant challenges for both online…

机器学习 · 计算机科学 2025-02-14 Yuan Tian , Wenqi Zhou , Michele Viscione , Hao Dong , David Kammer , Olga Fink

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…

机器学习 · 计算机科学 2023-04-21 Tommaso Bendinelli , Luca Biggio , Pierre-Alexandre Kamienny

Symbolic regression (SR) is an area of interpretable machine learning that aims to identify mathematical expressions, often composed of simple functions, that best fit in a given set of covariates $X$ and response $y$. In recent years, deep…

机器学习 · 计算机科学 2023-12-04 Sida Li , Ioana Marinescu , Sebastian Musslick

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…

计算物理 · 物理学 2026-02-10 Udaykumar Gajera , Mohsen Sotoudeh , Kanchan Sarkar , Axel Groß

Growing interest in modelling complex systems from brains to societies to cities using networks has led to increased efforts to describe generative processes that explain those networks. Recent successes in machine learning have prompted…

神经与进化计算 · 计算机科学 2024-01-12 Govind Gandhi

Mathematical expressions play a central role in scientific discovery. Symbolic regression aims to automatically discover such expressions from given numerical data. Recently, Neural symbolic regression (NSR) methods that involve…

机器学习 · 计算机科学 2026-02-03 Shun Sato , Issei Sato

In science, we are interested not only in forecasting but also in understanding how predictions are made, specifically what the interpretable underlying model looks like. Data-driven machine learning technology can significantly streamline…

符号计算 · 计算机科学 2025-05-29 Weiting Liu , Jiaxu Cui , Jiao Hu , En Wang , Bo Yang

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…

宇宙学与河外天体物理 · 物理学 2024-08-05 Deaglan J. Bartlett , Harry Desmond , Pedro G. Ferreira

Symbolic regression searches for analytic expressions that accurately describe studied phenomena. The main attraction of this approach is that it returns an interpretable model that can be insightful to users. Historically, the majority of…

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 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,…

Symbolic regression, a task discovering the formula best fitting the given data, is typically based on the heuristical search. These methods usually update candidate formulas to obtain new ones with lower prediction errors iteratively.…

机器学习 · 计算机科学 2025-09-11 Zihan Yu , Jingtao Ding , Yong Li , Depeng Jin

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

Many real-world systems can be described by mathematical models that are human-comprehensible, easy to analyze and help explain the system's behavior. Symbolic regression is a method that can automatically generate such models from data.…

神经与进化计算 · 计算机科学 2023-06-28 Jiří Kubalík , Erik Derner , Robert Babuška

Many real-world problems can be naturally described by mathematical formulas. The task of finding formulas from a set of observed inputs and outputs is called symbolic regression. Recently, neural networks have been applied to symbolic…

机器学习 · 计算机科学 2022-10-24 Martin Vastl , Jonáš Kulhánek , Jiří Kubalík , Erik Derner , Robert Babuška

Evolutionary symbolic regression (SR) fits a symbolic equation to data, which gives a concise interpretable model. We explore using SR as a method to propose which data to gather in an active learning setting with physical constraints. SR…

机器学习 · 计算机科学 2024-08-13 Jorge Medina , Andrew D. White

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

The Symbolic Regression (SR) problem, where the goal is to find a regression function that does not have a pre-specified form but is any function that can be composed of a list of operators, is a hard problem in machine learning, both…