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Understanding how systems evolve over time often requires discovering the differential equations that govern their behavior. Automatically learning these equations from experimental data is challenging when the data are noisy or limited,…

Data Analysis, Statistics and Probability · Physics 2025-11-19 Oriol Cabanas-Tirapu , Sergio Cobo-Lopez , Savannah E. Sanchez , Forest L. Rohwer , Marta Sales-Pardo , Roger Guimerà

Feature selection aims to identify the optimal feature subset for enhancing downstream models. Effective feature selection can remove redundant features, save computational resources, accelerate the model learning process, and improve the…

Machine Learning · Computer Science 2024-12-19 Nanxu Gong , Wangyang Ying , Dongjie Wang , Yanjie Fu

Large language models (LLMs) have revolutionized algorithm development, yet their application in symbolic regression, where algorithms automatically discover symbolic expressions from data, remains limited. In this paper, we propose a…

Neural and Evolutionary Computing · Computer Science 2026-04-01 Hengzhe Zhang , Qi Chen , Bing Xue , Wolfgang Banzhaf , Mengjie Zhang

Regression plays an essential role in many medical imaging applications for estimating various clinical risk or measurement scores. While training strategies and loss functions have been studied for the deep neural networks in medical image…

Image and Video Processing · Electrical Eng. & Systems 2022-07-13 Hanqing Chao , Jiajin Zhang , Pingkun Yan

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…

Symbolic Computation · Computer Science 2026-02-13 Nan Jiang , Ziyi Wang , Yexiang Xue

In recent years, symbolic regression has been of wide interest to provide an interpretable symbolic representation of potentially large data relationships. Initially circled to genetic algorithms, symbolic regression methods now include a…

Machine Learning · Computer Science 2022-02-10 Laure Crochepierre , Lydia Boudjeloud-Assala , Vincent Barbesant

Symbolic regression refers to the task of finding a closed-form mathematical expression to fit a set of data points. Genetic programming based techniques are the most common algorithms used to tackle this problem, but recently,…

Machine Learning · Computer Science 2025-10-10 Ryan T. Tymkow , Benjamin D. Schnapp , Mojtaba Valipour , Ali Ghodshi

Big data and large-scale machine learning have had a profound impact on science and engineering, particularly in fields focused on forecasting and prediction. Yet, it is still not clear how we can use the superior pattern matching abilities…

Geophysics · Physics 2023-11-22 Dion Häfner , Johannes Gemmrich , Markus Jochum

A central goal of unsupervised learning is to acquire representations from unlabeled data or experience that can be used for more effective learning of downstream tasks from modest amounts of labeled data. Many prior unsupervised learning…

Machine Learning · Computer Science 2019-03-25 Kyle Hsu , Sergey Levine , Chelsea Finn

In recent years, several new lexicase-based selection variants have emerged due to the success of standard lexicase selection in various application domains. For symbolic regression problems, variants that use an epsilon-threshold or…

Neural and Evolutionary Computing · Computer Science 2025-03-20 Alina Geiger , Dominik Sobania , Franz Rothlauf

Reinforcement learning is an appropriate and successful method to robustly perform low-level robot control under noisy conditions. Symbolic action planning is useful to resolve causal dependencies and to break a causally complex problem…

Machine Learning · Computer Science 2019-12-10 Manfred Eppe , Phuong D. H. Nguyen , Stefan Wermter

Neural networks' expressiveness comes at the cost of complex, black-box models that often extrapolate poorly beyond the domain of the training dataset, conflicting with the goal of finding compact analytic expressions to describe scientific…

Machine Learning · Computer Science 2023-11-29 Owen Dugan , Rumen Dangovski , Allan Costa , Samuel Kim , Pawan Goyal , Joseph Jacobson , Marin Soljačić

Symbolic regression (SR) searches for analytical expressions representing the relationship between a set of explanatory and response variables. Current SR methods assume a single dataset extracted from a single experiment. Nevertheless,…

Given a sample of size $N$, it is often useful to select a subsample of smaller size $n<N$ to be used for statistical estimation or learning. Such a data selection step is useful to reduce the requirements of data labeling and the…

Machine Learning · Statistics 2023-10-05 Germain Kolossov , Andrea Montanari , Pulkit Tandon

We showcase the potential of symbolic regression as an analytic method for use in materials research. First, we briefly describe the current state-of-the-art method, genetic programming-based symbolic regression (GPSR), and recent advances…

Materials Science · Physics 2019-10-02 Yiqun Wang , Nicholas Wagner , James M. Rondinelli

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…

Machine Learning · Computer Science 2026-03-30 Zachary Bastiani , Robert M. Kirby , Jacob Hochhalter , Shandian Zhe

Despite tremendous progress over the past decade, deep learning methods generally fall short of human-level systematic generalization. It has been argued that explicitly capturing the underlying structure of data should allow connectionist…

Machine Learning · Computer Science 2023-04-26 Andrea Dittadi

In many applications, training machine learning models involves using large amounts of human-annotated data. Obtaining precise labels for the data is expensive. Instead, training with weak supervision provides a low-cost alternative. We…

Machine Learning · Computer Science 2022-02-09 Chidubem Arachie , Bert Huang

Neural reasoning accuracy improves when generating intermediate reasoning steps. However, the source of this improvement is yet unclear. Here, we investigate and factorize the benefit of generating intermediate steps for symbolic reasoning.…

Artificial Intelligence · Computer Science 2023-02-17 Yoichi Aoki , Keito Kudo , Tatsuki Kuribayashi , Ana Brassard , Masashi Yoshikawa , Keisuke Sakaguchi , Kentaro Inui

A prominent technique for self-supervised representation learning has been to contrast semantically similar and dissimilar pairs of samples. Without access to labels, dissimilar (negative) points are typically taken to be randomly sampled…

Machine Learning · Computer Science 2020-10-22 Ching-Yao Chuang , Joshua Robinson , Lin Yen-Chen , Antonio Torralba , Stefanie Jegelka