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相关论文: Prior-Guided Symbolic Regression: Towards Scientif…

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Symbolic Regression (SR) allows for the discovery of scientific equations from data. To limit the large search space of possible equations, prior knowledge has been expressed in terms of formal grammars that characterize subsets of…

机器学习 · 计算机科学 2024-06-11 Tim Schneider , Amin Totounferoush , Wolfgang Nowak , Steffen Staab

Symbolic Regression (SR) is a regression method that aims to discover mathematical expressions that describe the relationship between variables, and it is often implemented through Genetic Programming, a metaphor for the process of…

神经与进化计算 · 计算机科学 2025-12-02 Guilherme Seidyo Imai Aldeia

Symbolic regression (SR) aims to discover concise closed-form mathematical equations from data, a task fundamental to scientific discovery. However, the problem is highly challenging because closed-form equations lie in a complex…

机器学习 · 计算机科学 2024-01-02 Samuel Holt , Zhaozhi Qian , Mihaela van der Schaar

Symbolic Regression (SR) offers an interpretable alternative to conventional Machine-Learning (ML) approaches, which are often criticized as ``black boxes''. In contrast to standard regression models that require a prescribed functional…

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…

机器学习 · 计算机科学 2026-04-10 Deaglan J. Bartlett , Harry Desmond , Pedro G. Ferreira , Gabriel Kronberger

Symbolic regression (SR) -- which learns symbolic equations to describe the underlying relation from input-output pairs -- is widely used for scientific discovery. However, a rich set of scientific data from the real world (e.g., particle…

符号计算 · 计算机科学 2025-05-07 Kuang Yufei , Wang Jie , Huang Haotong , Ye Mingxuan , Zhu Fangzhou , Li Xijun , Hao Jianye , Wu Feng

Symbolic regression (SR) aims to find symbolic expressions that describe datasets. Due to its inherent interpretability, is a powerful paradigm for scientific discovery. Recent advances have expanded SR to describe related phenomena using a…

机器学习 · 计算机科学 2026-03-31 Viktor Martinek , Roland Herzog

Symbolic equations are at the core of scientific discovery. The task of discovering the underlying equation from a set of input-output pairs is called symbolic regression. Traditionally, symbolic regression methods use hand-designed…

机器学习 · 计算机科学 2021-06-14 Luca Biggio , Tommaso Bendinelli , Alexander Neitz , Aurelien Lucchi , Giambattista Parascandolo

Interpretability is crucial for machine learning in many scenarios such as quantitative finance, banking, healthcare, etc. Symbolic regression (SR) is a classic interpretable machine learning method by bridging X and Y using mathematical…

统计方法学 · 统计学 2020-01-17 Ying Jin , Weilin Fu , Jian Kang , Jiadong Guo , Jian Guo

Symbolic regression seeks to uncover physical laws from experimental data by searching for closed-form expressions, which is an important task in AI-driven scientific discovery. Yet the exponential growth of the search space of expression…

符号计算 · 计算机科学 2026-02-13 Nan Jiang , Ziyi Wang , Yexiang Xue

Symbolic regression aims to find interpretable analytical expressions by searching over mathematical formula spaces to capture underlying system behavior, particularly in scientific modeling governed by physical laws. However, traditional…

机器学习 · 计算机科学 2025-10-09 Yunpeng Gong , Sihan Lan , Can Yang , Kunpeng Xu , Min Jiang

Symbolic regression (SR) is a challenging task in machine learning that involves finding a mathematical expression for a function based on its values. Recent advancements in SR have demonstrated the effectiveness of pre-trained…

机器学习 · 计算机科学 2023-10-31 Parshin Shojaee , Kazem Meidani , Amir Barati Farimani , Chandan K. Reddy

Symbolic regression (SR) is a powerful technique for discovering symbolic expressions that characterize nonlinear relationships in data, gaining increasing attention for its interpretability, compactness, and robustness. However, existing…

机器学习 · 统计学 2025-06-09 Shengbin Ye , Meng Li

Symbolic regression (SR) is a powerful technique for discovering the analytical mathematical expression from data, finding various applications in natural sciences due to its good interpretability of results. However, existing methods face…

机器学习 · 计算机科学 2024-07-11 Xieting Chu , Hongjue Zhao , Enze Xu , Hairong Qi , Minghan Chen , Huajie Shao

Symbolic Regression (SR) tries to reveal the hidden equations behind observed data. However, most methods search within a discrete equation space, where the structural modifications of equations rarely align with their numerical behavior,…

机器学习 · 计算机科学 2026-02-25 Qian Li , Yuxiao Hu , Juncheng Liu , Yuntian Chen

Symbolic Regression (SR) can generate interpretable, concise expressions that fit a given dataset, allowing for more human understanding of the structure than black-box approaches. The addition of background knowledge (in the form of…

机器学习 · 计算机科学 2023-05-05 Charles Fox , Neil Tran , Nikki Nacion , Samiha Sharlin , Tyler R. Josephson

Symbolic Regression aims to automatically identify compact and interpretable mathematical expressions that model the functional relationship between input and output variables. Most existing search-based symbolic regression methods…

机器学习 · 计算机科学 2026-01-22 Jianwen Sun , Xinrui Li , Fuqing Li , Xiaoxuan Shen

Vertical Symbolic Regression (VSR) recently has been proposed to expedite the discovery of symbolic equations with many independent variables from experimental data. VSR reduces the search spaces following the vertical discovery path by…

机器学习 · 计算机科学 2024-02-02 Nan Jiang , Md Nasim , Yexiang Xue

Symbolic Regression (SR) plays a central role in scientific knowledge discovery by distilling mathematical equations from observational data. Most existing SR methods function within a bi-level optimization framework: an outer loop that…

机器学习 · 计算机科学 2026-05-25 Boxiao Wang , Kai Li , Zhiwei Chen , Yang Huang , Runxiang Wang , Ziwen Zhang , Yifan Zhang , Jian Cheng

Evolutionary symbolic regression approaches are powerful tools that can approximate an explicit mapping between input features and observation for various problems. However, ensuring that explored expressions maintain consistency with…

最优化与控制 · 数学 2024-11-19 Maximilian Reissmann , Yuan Fang , Andrew Ooi , Richard Sandberg
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