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Symbolic Regression (SR) is a well-established framework for generating interpretable or white-box predictive models. Although SR has been successfully applied to create interpretable estimates of the average of the outcome, it is currently…

机器学习 · 计算机科学 2026-05-19 Cas Oude Hoekstra , Floris den Hengst

We study the potential of symbolic regression (SR) to derive compact and precise analytic expressions that can improve the accuracy and simplicity of phenomenological analyses at the Large Hadron Collider (LHC). As a benchmark, we apply SR…

高能物理 - 唯象学 · 物理学 2024-12-12 Manuel Morales-Alvarado , Daniel Conde , Josh Bendavid , Veronica Sanz , Maria Ubiali

Recent advances in machine learning have demonstrated an enormous utility of deep learning approaches, particularly Graph Neural Networks (GNNs) for materials science. These methods have emerged as powerful tools for high-throughput…

计算物理 · 物理学 2025-05-23 Junchi Liu , Ying Tang , Sergei Tretiak , Wenhui Duan , Liujiang Zhou

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

The high-energy physics community is investigating the potential of deploying machine-learning-based solutions on Field-Programmable Gate Arrays (FPGAs) to enhance physics sensitivity while still meeting data processing time constraints. In…

Offline reinforcement learning (RL) is a compelling paradigm to extend RL's practical utility by leveraging pre-collected, static datasets, thereby avoiding the limitations associated with collecting online interactions. The major…

机器学习 · 计算机科学 2024-06-10 Yutaka Shimizu , Joey Hong , Sergey Levine , Masayoshi Tomizuka

In nature, the behaviors of many complex systems can be described by parsimonious math equations. Automatically distilling these equations from limited data is cast as a symbolic regression process which hitherto remains a grand challenge.…

机器学习 · 计算机科学 2023-05-25 Yilong Xu , Yang Liu , Hao Sun

Symbolic regression (SR) is the problem of learning a symbolic expression from numerical data. Recently, deep neural models trained on procedurally-generated synthetic datasets showed competitive performance compared to more classical…

机器学习 · 计算机科学 2023-05-11 Pierre-Alexandre Kamienny , Guillaume Lample , Sylvain Lamprier , Marco Virgolin

Machine-learning methods are gradually being adopted in a wide variety of social, economic, and scientific contexts, yet they are notorious for struggling with exact mathematics. A typical example is computer algebra, which includes tasks…

机器学习 · 计算机科学 2024-11-06 Lennart Dabelow , Masahito Ueda

Many promising approaches to symbolic regression have been presented in recent years, yet progress in the field continues to suffer from a lack of uniform, robust, and transparent benchmarking standards. In this paper, we address this…

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 is a type of discrete optimization problem that involves searching expressions that fit given data points. In many cases, other mathematical constraints about the unknown expression not only provide more information…

机器学习 · 计算机科学 2021-02-16 Li Li , Minjie Fan , Rishabh Singh , Patrick Riley

The problem of symbolic regression (SR) arises in many different applications, such as identifying physical laws or deriving mathematical equations describing the behavior of financial markets from given data. Various methods exist to…

人工智能 · 计算机科学 2025-05-07 Philipp Scholl , Katharina Bieker , Hillary Hauger , Gitta Kutyniok

We introduce a novel symbolic regression framework, namely KAN-SR, built on Kolmogorov Arnold Networks (KANs) which follows a divide-and-conquer approach. Symbolic regression searches for mathematical equations that best fit a given dataset…

机器学习 · 计算机科学 2025-09-15 Marco Andrea Bühler , Gonzalo Guillén-Gosálbez

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

We introduce SymbolFit, a framework that automates parametric modeling by using symbolic regression to perform a machine-search for functions that fit the data while simultaneously providing uncertainty estimates in a single run.…

Discovering governing equations of complex network dynamics is a fundamental challenge in contemporary science with rich data, which can uncover the mysterious patterns and mechanisms of the formation and evolution of complex phenomena in…

人工智能 · 计算机科学 2024-11-12 Jiao Hu , Jiaxu Cui , Bo Yang

Mathematical formulas are the crystallization of human wisdom in exploring the laws of nature for thousands of years. Describing the complex laws of nature with a concise mathematical formula is a constant pursuit of scientists and a great…

机器学习 · 计算机科学 2024-09-20 Yanjie Li , Jingyi Liu , Weijun Li , Lina Yu , Min Wu , Wenqiang Li , Meilan Hao , Su Wei , Yusong Deng

This paper presents QDSR, an advanced symbolic Regression (SR) system that integrates genetic programming (GP), a quality-diversity (QD) algorithm, and a dimensional analysis (DA) engine. Our method focuses on exact symbolic recovery of…

神经与进化计算 · 计算机科学 2025-03-26 J. -P. Bruneton

Regression analysis is used for prediction and to understand the effect of independent variables on dependent variables. Symbolic regression (SR) automates the search for non-linear regression models, delivering a set of hypotheses that…

机器学习 · 计算机科学 2025-04-09 Fabricio Olivetti de Franca , Gabriel Kronberger