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Related papers: MMSR: Symbolic Regression is a Multi-Modal Informa…

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As one of the central tasks in machine learning, regression finds lots of applications in different fields. An existing common practice for solving regression problems is the mean square error (MSE) minimization approach or its regularized…

Machine Learning · Statistics 2022-11-24 Jirong Yi , Qiaosheng Zhang , Zhen Chen , Qiao Liu , Wei Shao , Yusen He , Yaohua Wang

The goal of neural-symbolic computation is to integrate the connectionist and symbolist paradigms. Prior methods learn the neural-symbolic models using reinforcement learning (RL) approaches, which ignore the error propagation in the…

Machine Learning · Statistics 2020-07-29 Qing Li , Siyuan Huang , Yining Hong , Yixin Chen , Ying Nian Wu , Song-Chun Zhu

Multi-modal reasoning plays a vital role in bridging the gap between textual and visual information, enabling a deeper understanding of the context. This paper presents the Feature Swapping Multi-modal Reasoning (FSMR) model, designed to…

Computer Vision and Pattern Recognition · Computer Science 2024-04-01 Shuang Li , Jiahua Wang , Lijie Wen

Particle-based modeling of materials at atomic scale plays an important role in the development of new materials and understanding of their properties. The accuracy of particle simulations is determined by interatomic potentials, which…

Gene expression programming is an evolutionary optimization algorithm with the potential to generate interpretable and easily implementable equations for regression problems. Despite knowledge gained from previous optimizations being…

Neural and Evolutionary Computing · Computer Science 2025-02-05 Maximilian Reissmann , Yuan Fang , Andrew S. H. Ooi , Richard D. Sandberg

Graph based molecular representation learning is essential for accurately predicting molecular properties in drug discovery and materials science; however, it faces significant challenges due to the intricate relationships among molecules…

Computational Engineering, Finance, and Science · Computer Science 2025-05-28 Zhengyang Zhou , Yunrui Li , Pengyu Hong , Hao Xu

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

Multi-segment reconstruction (MSR) problem consists of recovering a signal from noisy segments with unknown positions of the observation windows. One example arises in DNA sequence assembly, which is typically solved by matching short reads…

Signal Processing · Electrical Eng. & Systems 2018-02-27 Mona Zehni , Minh N. Do , Zhizhen Zhao

Symbolic regression is a technique that can automatically derive analytic models from data. Traditionally, symbolic regression has been implemented primarily through genetic programming that evolves populations of candidate solutions…

Neural and Evolutionary Computing · Computer Science 2025-04-24 Jiří Kubalík , Robert Babuška

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,…

Machine Learning · Computer Science 2026-02-25 Qian Li , Yuxiao Hu , Juncheng Liu , Yuntian Chen

The Zoetrope Genetic Programming (ZGP) algorithm is based on an original representation for mathematical expressions, targeting evolutionary symbolic regression.The zoetropic representation uses repeated fusion operations between partial…

Machine Learning · Statistics 2021-08-26 Aurélie Boisbunon , Carlo Fanara , Ingrid Grenet , Jonathan Daeden , Alexis Vighi , Marc Schoenauer

Medical decision-making makes frequent use of algorithms that combine risk equations with rules, providing clear and standardized treatment pathways. Symbolic regression (SR) traditionally limits its search space to continuous function…

Identifying governing equations for a dynamical system is a topic of critical interest across an array of disciplines, from mathematics to engineering to biology. Machine learning -- specifically deep learning -- techniques have shown their…

Dynamical Systems · Mathematics 2026-05-07 Nibodh Boddupalli , Timothy Matchen , Jeff Moehlis

Despite the recent success on image classification, self-training has only achieved limited gains on structured prediction tasks such as neural machine translation (NMT). This is mainly due to the compositionality of the target space, where…

Computation and Language · Computer Science 2020-12-08 Minkai Xu , Mingxuan Wang , Zhouhan Lin , Hao Zhou , Weinan Zhang , Lei Li

Symbolic Regression searches for a function form that approximates a dataset often using Genetic Programming. Since there is usually no restriction to what form the function can have, Genetic Programming may return a hard to understand…

Neural and Evolutionary Computing · Computer Science 2022-05-16 Fabricio Olivetti de Franca

While neural sequence learning methods have made significant progress in single-document summarization (SDS), they produce unsatisfactory results on multi-document summarization (MDS). We observe two major challenges when adapting SDS…

Computation and Language · Computer Science 2020-10-02 Yuning Mao , Yanru Qu , Yiqing Xie , Xiang Ren , Jiawei Han

We investigate the addition of constraints on the function image and its derivatives for the incorporation of prior knowledge in symbolic regression. The approach is called shape-constrained symbolic regression and allows us to enforce e.g.…

Neural and Evolutionary Computing · Computer Science 2021-06-01 Gabriel Kronberger , Fabricio Olivetti de França , Bogdan Burlacu , Christian Haider , Michael Kommenda

Reference-based image super-resolution (RefSR) is a promising SR branch and has shown great potential in overcoming the limitations of single image super-resolution. While previous state-of-the-art RefSR methods mainly focus on improving…

Computer Vision and Pattern Recognition · Computer Science 2022-11-09 Lin Zhang , Xin Li , Dongliang He , Fu Li , Yili Wang , Zhaoxiang Zhang

We introduce 'Class Symbolic Regression' (Class SR) a first framework for automatically finding a single analytical functional form that accurately fits multiple datasets - each realization being governed by its own (possibly) unique set of…

Machine Learning · Computer Science 2024-06-19 Wassim Tenachi , Rodrigo Ibata , Thibaut L. François , Foivos I. Diakogiannis

Symbolic Regression (SR) is a powerful technique for discovering interpretable mathematical expressions. However, benchmarking SR methods remains challenging due to the diversity of algorithms, datasets, and evaluation criteria. In this…