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Machine learning methods trained on raw numerical time series data exhibit fundamental limitations such as a high sensitivity to the hyper parameters and even to the initialization of random weights. A combination of a recurrent neural…

Machine Learning · Computer Science 2020-03-13 Steven Elsworth , Stefan Güttel

Recent advances in machine learning have demonstrated an enormous utility of deep learning approaches, particularly Graph Neural Networks (GNNs) for materials science. These methods have emerged as powerful tools for high-throughput…

Computational Physics · Physics 2025-05-23 Junchi Liu , Ying Tang , Sergei Tretiak , Wenhui Duan , Liujiang Zhou

Mathematical formulas are the crystallization of human wisdom in exploring the laws of nature for thousands of years. Describing the complex laws of nature with a concise mathematical formula is a constant pursuit of scientists and a great…

Machine Learning · Computer Science 2024-09-20 Yanjie Li , Jingyi Liu , Weijun Li , Lina Yu , Min Wu , Wenqiang Li , Meilan Hao , Su Wei , Yusong Deng

Many promising approaches to symbolic regression have been presented in recent years, yet progress in the field continues to suffer from a lack of uniform, robust, and transparent benchmarking standards. In this paper, we address this…

Neural and Evolutionary Computing · Computer Science 2021-08-02 William La Cava , Patryk Orzechowski , Bogdan Burlacu , Fabrício Olivetti de França , Marco Virgolin , Ying Jin , Michael Kommenda , Jason H. Moore

Subgraph-based graph representation learning (SGRL) has recently emerged as a powerful tool in many prediction tasks on graphs due to its advantages in model expressiveness and generalization ability. Most previous SGRL models face…

Machine Learning · Computer Science 2023-12-29 Haoteng Yin , Muhan Zhang , Jianguo Wang , Pan Li

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

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…

Machine Learning · Computer Science 2023-04-21 Tommaso Bendinelli , Luca Biggio , Pierre-Alexandre Kamienny

Symbolic Regression (SR) is a type of regression analysis to automatically find the mathematical expression that best fits the data. Currently, SR still basically relies on various searching strategies so that a sample-specific model is…

Computer Vision and Pattern Recognition · Computer Science 2022-06-16 Jiachen Li , Ye Yuan , Hong-Bin Shen

Growing interest in modelling complex systems from brains to societies to cities using networks has led to increased efforts to describe generative processes that explain those networks. Recent successes in machine learning have prompted…

Neural and Evolutionary Computing · Computer Science 2024-01-12 Govind Gandhi

We consider feature representation learning problem of molecular graphs. Graph Neural Networks have been widely used in feature representation learning of molecular graphs. However, most existing methods deal with molecular graphs…

Machine Learning · Computer Science 2022-06-08 Zhaoning Yu , Hongyang Gao

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…

Machine Learning · Computer Science 2024-01-02 Samuel Holt , Zhaozhi Qian , Mihaela van der Schaar

Symbolic regression is a machine learning technique that can learn the governing formulas of data and thus has the potential to transform scientific discovery. However, symbolic regression is still limited in the complexity and…

Machine Learning · Computer Science 2023-05-30 Michael Zhang , Samuel Kim , Peter Y. Lu , Marin Soljačić

Symbolic regression is a powerful system identification technique in industrial scenarios where no prior knowledge on model structure is available. Such scenarios often require specific model properties such as interpretability, robustness,…

Compact symbolic expressions have been shown to be more efficient than neural network models in terms of resource consumption and inference speed when implemented on custom hardware such as FPGAs, while maintaining comparable…

Machine Learning · Computer Science 2025-02-11 Ho Fung Tsoi , Vladimir Loncar , Sridhara Dasu , Philip Harris

In the area of explainable artificial intelligence, Symbolic Regression (SR) has emerged as a promising approach by discovering interpretable mathematical expressions that fit data. However, SR faces two main challenges: most methods are…

Machine Learning · Computer Science 2025-11-18 Hussein Rajabu , Lijun Qian , Xishuang Dong

Genetic programming (GP) is a commonly used approach to solve symbolic regression (SR) problems. Compared with the machine learning or deep learning methods that depend on the pre-defined model and the training dataset for solving SR…

Neural and Evolutionary Computing · Computer Science 2022-05-23 Baihe He , Qiang Lu , Qingyun Yang , Jake Luo , Zhiguang Wang

Evolutionary symbolic regression (SR) fits a symbolic equation to data, which gives a concise interpretable model. We explore using SR as a method to propose which data to gather in an active learning setting with physical constraints. SR…

Machine Learning · Computer Science 2024-08-13 Jorge Medina , Andrew D. White

The problem of symbolic regression (SR) arises in many different applications, such as identifying physical laws or deriving mathematical equations describing the behavior of financial markets from given data. Various methods exist to…

Artificial Intelligence · Computer Science 2025-05-07 Philipp Scholl , Katharina Bieker , Hillary Hauger , Gitta Kutyniok

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…

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…

Machine Learning · Computer Science 2026-03-31 Viktor Martinek , Roland Herzog