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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

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

Mathematical equations have been unreasonably effective in describing complex natural phenomena across various scientific disciplines. However, discovering such insightful equations from data presents significant challenges due to the…

Machine Learning · Computer Science 2025-03-21 Parshin Shojaee , Kazem Meidani , Shashank Gupta , Amir Barati Farimani , Chandan K Reddy

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

This paper presents a study on the integration of domain-specific knowledge in prompt engineering to enhance the performance of large language models (LLMs) in scientific domains. A benchmark dataset is curated to encapsulate the intricate…

Computation and Language · Computer Science 2024-04-24 Hongxuan Liu , Haoyu Yin , Zhiyao Luo , Xiaonan Wang

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

The rapid growth of research output in control engineering calls for new approaches to structure and formalize domain knowledge. This paper briefly describes an LLM-supported method for semi-automated generation of formal knowledge…

Artificial Intelligence · Computer Science 2025-11-05 Julius Fiedler , Carsten Knoll , Klaus Röbenack

Structured representations, exemplified by Abstract Meaning Representation (AMR), have long been pivotal in computational linguistics. However, their role remains ambiguous in the Large Language Models (LLMs) era. Initial attempts to…

Computation and Language · Computer Science 2025-02-21 Jiahuan Zhang , Tianheng Wang , Hanqing Wu , Ziyi Huang , Yulong Wu , Dongbai Chen , Linfeng Song , Yue Zhang , Guozheng Rao , Kaicheng Yu

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…

Computational Engineering, Finance, and Science · Computer Science 2025-10-01 Yingfan Hua , Ruikun Li , Jun Yao , Guohang Zhuang , Shixiang Tang , Bin Liu , Wanli Ouyang , Yan Lu

When using reinforcement learning (RL) to tackle physical control tasks, inductive biases that encode physics priors can help improve sample efficiency during training and enhance generalization in testing. However, the current practice of…

Machine Learning · Computer Science 2025-06-30 Tao Li , Haozhe Lei , Mingsheng Yin , Yaqi Hu

Automated discovery of physical laws from observational data in the real world is a grand challenge in AI. Current methods, relying on symbolic regression or LLMs, are limited to uni-modal data and overlook the rich, visual phenomenological…

Artificial Intelligence · Computer Science 2025-08-26 Jiaqi Liu , Songning Lai , Pengze Li , Di Yu , Wenjie Zhou , Yiyang Zhou , Peng Xia , Zijun Wang , Xi Chen , Shixiang Tang , Lei Bai , Wanli Ouyang , Mingyu Ding , Huaxiu Yao , Aoran Wang

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

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

Symbolic regression (SR) has emerged as a powerful method for uncovering interpretable mathematical relationships from data, offering a novel route to both scientific discovery and efficient empirical modelling. This article introduces the…

Machine Learning · Computer Science 2026-04-10 Deaglan J. Bartlett , Harry Desmond , Pedro G. Ferreira , Gabriel Kronberger

Annotating and recognizing speech emotion using prompt engineering has recently emerged with the advancement of Large Language Models (LLMs), yet its efficacy and reliability remain questionable. In this paper, we conduct a systematic study…

Audio and Speech Processing · Electrical Eng. & Systems 2025-05-01 Yuanchao Li , Yuan Gong , Chao-Han Huck Yang , Peter Bell , Catherine Lai

Discovering a meaningful symbolic expression that explains experimental data is a fundamental challenge in many scientific fields. We present a novel, open-source computational framework called Scientist-Machine Equation Detector (SciMED),…

Machine Learning · Computer Science 2023-03-02 Liron Simon Keren , Alex Liberzon , Teddy Lazebnik

Here we present Symplectically Integrated Symbolic Regression (SISR), a novel technique for learning physical governing equations from data. SISR employs a deep symbolic regression approach, using a multi-layer LSTM-RNN with mutation to…

Machine Learning · Computer Science 2022-09-07 Daniel M. DiPietro , Bo Zhu

Large Language Models (LLMs) have demonstrated remarkable success in various tasks such as natural language understanding, text summarization, and machine translation. However, their general-purpose nature often limits their effectiveness…

Computation and Language · Computer Science 2025-09-03 Zirui Song , Bin Yan , Yuhan Liu , Miao Fang , Mingzhe Li , Rui Yan , Xiuying Chen

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

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
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