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Symbolic regression is a fundamental tool for discovering interpretable mathematical expressions from data, with broad applications across scientific and engineering domains. Recently, large language models (LLMs) have demonstrated strong…

Machine Learning · Computer Science 2025-06-06 Runxiang Wang , Boxiao Wang , Kai Li , Yifan Zhang , Jian Cheng

Scientific equation discovery is a fundamental task in the history of scientific progress, enabling the derivation of laws governing natural phenomena. Recently, Large Language Models (LLMs) have gained interest for this task due to their…

Computation and Language · Computer Science 2025-06-10 Parshin Shojaee , Ngoc-Hieu Nguyen , Kazem Meidani , Amir Barati Farimani , Khoa D Doan , Chandan K Reddy

Equation discovery is aimed at directly extracting physical laws from data and has emerged as a pivotal research domain. Previous methods based on symbolic mathematics have achieved substantial advancements, but often require the design of…

Machine Learning · Computer Science 2024-07-23 Mengge Du , Yuntian Chen , Zhongzheng Wang , Longfeng Nie , Dongxiao Zhang

Recently, Large Language Models (LLMs) have been applied to scientific equation discovery, leveraging their embedded scientific knowledge for hypothesis generation. However, current methods typically confine LLMs to the role of an equation…

Artificial Intelligence · Computer Science 2026-02-18 Shijie Xia , Yuhan Sun , Pengfei Liu

Large Language Models (LLMs) offer a promising avenue for scientific discovery, yet their application to symbolic regression is often constrained by inefficient search strategies and coarse feedback signals. Current methods typically guide…

Machine Learning · Computer Science 2026-05-29 Evgeny S. Saveliev , Samuel Holt , Nabeel Seedat , David L. Bentley , Jim Weatherall , Mihaela van der Schaar

Foundation models, large machine learning models trained on broad, multimodal datasets, have been gaining increasing attention in scientific applications due to their strong performance on diverse downstream tasks. Large Language Models…

High Energy Physics - Phenomenology · Physics 2025-10-07 Manuel Morales-Alvarado

Symbolic regression (SR), the task of discovering mathematical expressions that best describe a given dataset, remains a fundamental challenge in scientific discovery. Traditional approaches, primarily based on genetic algorithms and…

Artificial Intelligence · Computer Science 2026-05-06 Hao Liu , Xiao-Wen Yang , Atharva Sehgal , Yixin Wang , Lan-Zhe Guo , Yu-Feng Li , Yisong Yue

Distilling underlying principles from data has historically driven scientific breakthroughs. However, conventional data-driven machine learning often produces complex models that lack interpretability and generalization due to insufficient…

Materials Science · Physics 2025-07-28 Zhilong Song , Qionghua Zhou , Chunjin Ren , Chongyi Ling , Minggang Ju , Jinlan Wang

Discovering the governing equations of dynamical systems is a central problem across many scientific disciplines. As experimental data become increasingly available, automated equation discovery methods offer a promising data-driven…

Machine Learning · Computer Science 2026-04-07 Amirmohammad Ziaei Bideh , Jonathan Gryak

State of the art Symbolic Regression (SR) methods currently build specialized models, while the application of Large Language Models (LLMs) remains largely unexplored. In this work, we introduce the first comprehensive framework that…

Computation and Language · Computer Science 2024-09-27 Matteo Merler , Katsiaryna Haitsiukevich , Nicola Dainese , Pekka Marttinen

We present a novel method for symbolic regression (SR), the task of searching for compact programmatic hypotheses that best explain a dataset. The problem is commonly solved using genetic algorithms; we show that we can enhance such methods…

Machine Learning · Computer Science 2024-12-11 Arya Grayeli , Atharva Sehgal , Omar Costilla-Reyes , Miles Cranmer , Swarat Chaudhuri

Symbolic regression (SR) has emerged as a powerful tool for automated scientific discovery, enabling the derivation of governing equations from experimental data. A growing body of work illustrates the promise of integrating domain…

Machine Learning · Computer Science 2025-09-04 Bilge Taskin , Wenxiong Xie , Teddy Lazebnik

Discovering governing differential equations from observational data is a fundamental challenge in scientific machine learning. Existing symbolic regression approaches rely primarily on quantitative metrics; however, real-world differential…

Artificial Intelligence · Computer Science 2026-05-11 Sum Kyun Song , Bong Gyun Shin , Jae Yong Lee

Large Language Models (LLMs) have shown human-like reasoning abilities but still struggle with complex logical problems. This paper introduces a novel framework, Logic-LM, which integrates LLMs with symbolic solvers to improve logical…

Computation and Language · Computer Science 2023-10-20 Liangming Pan , Alon Albalak , Xinyi Wang , William Yang Wang

Motivated by the remarkable success of artificial intelligence (AI) across diverse fields, the application of AI to solve scientific problems, often formulated as partial differential equations (PDEs), has garnered increasing attention.…

Machine Learning · Computer Science 2025-10-21 Rohan Bhatnagar , Ling Liang , Krish Patel , Haizhao Yang

Current model structural discovery methods for power system dynamics impose rigid priors on the basis functions and variable sets of dynamic models while often neglecting algebraic constraints, thereby limiting the formulation of…

Systems and Control · Electrical Eng. & Systems 2026-01-12 Chao Shen , Zihan Guo , Ke Zuo , Wenqi Huang , Mingyang Sun

Large Language Models (LLMs) are transformer-based machine learning models that have shown remarkable performance in tasks for which they were not explicitly trained. Here, we explore the potential of LLMs to perform symbolic regression --…

Computation and Language · Computer Science 2026-04-17 Samiha Sharlin , Tyler R. Josephson

Pre-trained large language models (LMs) struggle to perform logical reasoning reliably despite advances in scale and compositionality. In this work, we tackle this challenge through the lens of symbolic programming. We propose DSR-LM, a…

Artificial Intelligence · Computer Science 2023-05-09 Hanlin Zhang , Jiani Huang , Ziyang Li , Mayur Naik , Eric Xing

In recent years, the rapid advancement of Large Language Models (LLMs) has transformed the landscape of scientific research, offering unprecedented support across various stages of the research cycle. This paper presents the first…

Computation and Language · Computer Science 2025-01-09 Ziming Luo , Zonglin Yang , Zexin Xu , Wei Yang , Xinya Du

Large language models (LLMs) are introducing a paradigm shift in molecular discovery by enabling text-guided interaction with chemical spaces through natural language, symbolic notations, with emerging extensions to incorporate multi-modal…

Machine Learning · Computer Science 2025-05-23 Ziqing Wang , Kexin Zhang , Zihan Zhao , Yibo Wen , Abhishek Pandey , Han Liu , Kaize Ding
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