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Symbolic regression (SR) is an area of interpretable machine learning that aims to identify mathematical expressions, often composed of simple functions, that best fit in a given set of covariates $X$ and response $y$. In recent years, deep…

机器学习 · 计算机科学 2023-12-04 Sida Li , Ioana Marinescu , Sebastian Musslick

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

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

Speech emotion recognition (SER) often experiences reduced performance due to background noise. In addition, making a prediction on signals with only background noise could undermine user trust in the system. In this study, we propose a…

音频与语音处理 · 电气工程与系统科学 2023-09-06 Yu-Wen Chen , Julia Hirschberg , Yu Tsao

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…

Symbolic regression (SR) is a powerful technique for discovering the underlying mathematical expressions from observed data. Inspired by the success of deep learning, recent deep generative SR methods have shown promising results. However,…

机器学习 · 计算机科学 2024-06-04 Wenqiang Li , Weijun Li , Lina Yu , Min Wu , Linjun Sun , Jingyi Liu , Yanjie Li , Shu Wei , Yusong Deng , Meilan Hao

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

Policy-gradient methods are widely used in reinforcement learning, yet training often becomes unstable or slows down as learning progresses. We study this phenomenon through the noise-to-signal ratio (NSR) of a policy-gradient estimator,…

最优化与控制 · 数学 2026-02-10 Haoyu Han , Heng Yang

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

Current learning models often struggle with human-like systematic generalization, particularly in learning compositional rules from limited data and extrapolating them to novel combinations. We introduce the Neural-Symbolic Recursive…

机器学习 · 计算机科学 2024-04-30 Qing Li , Yixin Zhu , Yitao Liang , Ying Nian Wu , Song-Chun Zhu , Siyuan Huang

The Symbolic Regression (SR) problem, where the goal is to find a regression function that does not have a pre-specified form but is any function that can be composed of a list of operators, is a hard problem in machine learning, both…

In symbolic regression, the goal is to find an analytical expression that accurately fits experimental data with the minimal use of mathematical symbols such as operators, variables, and constants. However, the combinatorial space of…

机器学习 · 计算机科学 2023-04-21 Tommaso Bendinelli , Luca Biggio , Pierre-Alexandre Kamienny

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…

机器学习 · 计算机科学 2024-12-11 Arya Grayeli , Atharva Sehgal , Omar Costilla-Reyes , Miles Cranmer , Swarat Chaudhuri

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

Symbolic regression (SR) models complex systems by discovering mathematical expressions that capture underlying relationships in observed data. However, most SR methods prioritize minimizing prediction error over identifying the governing…

机器学习 · 计算机科学 2026-03-31 Giorgio Morales , John W. Sheppard

The reconstruction of particle tracks from hits in tracking detectors is a computationally intensive task due to the large combinatorics of detector signals. Recent efforts have proven that ML techniques can be successfully applied to the…

高能物理 - 实验 · 物理学 2024-11-19 Nathalie Soybelman , Carlo Schiavi , Francesco A. Di Bello , Eilam Gross

One common belief is that with complex models and pre-training on large-scale datasets, transformer-based methods for referring expression comprehension (REC) perform much better than existing graph-based methods. We observe that since most…

计算机视觉与模式识别 · 计算机科学 2024-09-06 Jingcheng Ke , Dele Wang , Jun-Cheng Chen , I-Hong Jhuo , Chia-Wen Lin , Yen-Yu Lin

[RETRACTED]Data increasingly abounds, but distilling their underlying relationships down to something interpretable remains challenging. One approach is genetic programming, which `symbolically regresses' a data set down into an equation.…

神经与进化计算 · 计算机科学 2025-10-23 Amanda Bertschinger , James Bagrow , Joshua Bongard

We propose a novel deep symbolic regression approach to enhance the robustness and interpretability of data-driven mathematical expression discovery. Our work is aligned with the popular DSR framework which focuses on learning a…

机器学习 · 计算机科学 2026-03-30 Zachary Bastiani , Robert M. Kirby , Jacob Hochhalter , Shandian Zhe

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
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