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相关论文: Symbolic regression for precision LHC physics

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We study the addition of shape constraints (SC) and their consideration during the parameter identification step of symbolic regression (SR). SC serve as a means to introduce prior knowledge about the shape of the otherwise unknown model…

机器学习 · 计算机科学 2024-08-07 Viktor Martinek , Julia Reuter , Ophelia Frotscher , Sanaz Mostaghim , Markus Richter , Roland Herzog

Computational fluid dynamics (CFD) analysis is widely used in engineering. Although CFD calculations are accurate, the computational cost associated with complex systems makes it difficult to obtain empirical equations between system…

流体动力学 · 物理学 2022-04-08 Mehrad Ansari , Heta A. Gandhi , David G. Foster , Andrew D. White

A data-driven computational method is introduced to extract chemical reaction mechanisms from time series chemical concentration data. It is realized through the use of dynamic symbolic regression in which a sparse analytical form for a…

化学物理 · 物理学 2026-02-13 Manuel Palma Banos , Joel D. Kress , Rigoberto Hernandez , Galen T. Craven

Accurate and fast simulation of particle physics processes is crucial for the high-energy physics community. Simulating particle interactions with detectors is both time consuming and computationally expensive. With the proton-proton…

高能物理 - 实验 · 物理学 2021-08-26 Ali Hariri , Darya Dyachkova , Sergei Gleyzer

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…

机器学习 · 计算机科学 2025-06-17 Mansooreh Montazerin , Majd Al Aawar , Antonio Ortega , Ajitesh Srivastava

Symbolic regression aims to discover human-interpretable equations that explain observational data. However, existing approaches rely heavily on discrete structure search (e.g., genetic programming), which often leads to high computational…

机器学习 · 计算机科学 2026-03-25 Fateme Memar , Tao Zhe , Dongjie Wang

Machine learning models have become firmly established across all scientific fields. Extracting features from data and making inferences based on them with neural network models often yields high accuracy; however, this approach has several…

机器学习 · 计算机科学 2026-01-13 Mikhail Lazarev , Andrey Ustyuzhanin

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

Stochastic rounding (SR) is a probabilistic rounding mode that mitigates errors in large-scale numerical computations, especially when prone to stagnation effects. Beyond numerical analysis, SR has shown significant benefits in practical…

数值分析 · 数学 2026-03-26 El-Mehdi El Arar , Massimiliano Fasi , Silviu-Ioan Filip , Mantas Mikaitis

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…

系统与控制 · 电气工程与系统科学 2025-04-08 Amir Bahador Javadi , Philip Pong

In symbolic regression, the search for analytic models is typically driven purely by the prediction error observed on the training data samples. However, when the data samples do not sufficiently cover the input space, the prediction error…

机器学习 · 计算机科学 2020-04-28 J. Kubalík , E. Derner , R. Babuška

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…

核理论 · 物理学 2025-05-14 Jose M. Munoz , Silviu M. Udrescu , Ronald F. Garcia Ruiz

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…

机器学习 · 计算机科学 2025-06-25 Paul Kahlmeyer , Markus Fischer , Joachim Giesen

Model-based reinforcement learning (RL) has proven to be a data efficient approach for learning control tasks but is difficult to utilize in domains with complex observations such as images. In this paper, we present a method for learning…

机器学习 · 计算机科学 2019-06-25 Marvin Zhang , Sharad Vikram , Laura Smith , Pieter Abbeel , Matthew J. Johnson , Sergey Levine

Deriving governing equations from observational data, known as Symbolic Regression (SR), is a cornerstone of scientific discovery. Large Language Models, (LLMs) have shown promise in this task by leveraging their vast cross-disciplinary…

计算工程、金融与科学 · 计算机科学 2025-10-01 Yingfan Hua , Ruikun Li , Jun Yao , Guohang Zhuang , Shixiang Tang , Bin Liu , Wanli Ouyang , Yan Lu

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.…

Symbolic regression (SR) is a powerful machine learning approach that searches for both the structure and parameters of algebraic models, offering interpretable and compact representations of complex data. Unlike traditional regression…

机器学习 · 计算机科学 2024-12-11 Madhav Muthyala , Farshud Sorourifar , Joel A. Paulson

Symbolic regression is the machine learning method for learning functions from data. After a brief overview of the symbolic regression landscape, I will describe the two main challenges that traditional algorithms face: they have an unknown…

天体物理仪器与方法 · 物理学 2025-07-18 Harry Desmond

Rapid and accurate evaluation of the nonlinear matter power spectrum, $P(k)$, as a function of cosmological parameters and redshift is of fundamental importance in cosmology. Analytic approximations provide an interpretable solution, yet…

宇宙学与河外天体物理 · 物理学 2024-06-24 Deaglan J. Bartlett , Benjamin D. Wandelt , Matteo Zennaro , Pedro G. Ferreira , Harry Desmond

The advent of Scientific Machine Learning has heralded a transformative era in scientific discovery, driving progress across diverse domains. Central to this progress is uncovering scientific laws from experimental data through symbolic…

统计方法学 · 统计学 2025-09-25 Somjit Roy , Pritam Dey , Debdeep Pati , Bani K. Mallick