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This paper revisits datasets and evaluation criteria for Symbolic Regression (SR), specifically focused on its potential for scientific discovery. Focused on a set of formulas used in the existing datasets based on Feynman Lectures on…

Machine Learning · Computer Science 2025-01-06 Yoshitomo Matsubara , Naoya Chiba , Ryo Igarashi , Yoshitaka Ushiku

Neurosymbolic AI combines the interpretability, parsimony, and explicit reasoning of classical symbolic approaches with the statistical learning of data-driven neural approaches. Models and policies that are simultaneously differentiable…

Artificial Intelligence · Computer Science 2024-02-09 Peter Graf , Patrick Emami

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…

Machine Learning · Computer Science 2023-05-05 Charles Fox , Neil Tran , Nikki Nacion , Samiha Sharlin , Tyler R. Josephson

Representation is a core issue in artificial intelligence. Humans use discrete language to communicate and learn from each other, while machines use continuous features (like vector, matrix, or tensor in deep neural networks) to represent…

Computer Vision and Pattern Recognition · Computer Science 2022-01-17 Yuqi Wang , Xu-Yao Zhang , Cheng-Lin Liu , Zhaoxiang Zhang

We introduce ECSEL, an explainable classification method that learns formal expressions in the form of signomial equations, motivated by the observation that many symbolic regression benchmarks admit compact signomial structure. ECSEL…

Machine Learning · Computer Science 2026-05-27 Adia Lumadjeng , Ilker Birbil , Erman Acar

Symbolic regression algorithms search a space of mathematical expressions for formulas that explain given data. Transformer-based models have emerged as a promising, scalable approach shifting the expensive combinatorial search to a…

Machine Learning · Computer Science 2025-09-25 Henrik Voigt , Paul Kahlmeyer , Kai Lawonn , Michael Habeck , Joachim Giesen

Deriving governing equations from empirical observations is a longstanding challenge in science. Although artificial intelligence (AI) has demonstrated substantial capabilities in function approximation, the discovery of explainable and…

Artificial Intelligence · Computer Science 2026-05-01 Gyoung S. Na , Chanyoung Park

Machine learning techniques play an important role in analyzing spectral data. The spectral data of fish biomass is useful in fish production, as it carries many important chemistry properties of fish meat. However, it is challenging for…

Neural and Evolutionary Computing · Computer Science 2025-05-29 Zhixing Huang , Bing Xue , Mengjie Zhang , Jeremy S. Ronney , Keith C. Gordon , Daniel P. Killeen

Machine learning models that first learn a representation of a domain in terms of human-understandable concepts, then use it to make predictions, have been proposed to facilitate interpretation and interaction with models trained on…

Machine Learning · Computer Science 2020-12-08 Isaac Lage , Finale Doshi-Velez

Reinforcement learning algorithms can solve dynamic decision-making and optimal control problems. With continuous-valued state and input variables, reinforcement learning algorithms must rely on function approximators to represent the value…

Machine Learning · Computer Science 2021-11-16 Jiří Kubalík , Erik Derner , Jan Žegklitz , Robert Babuška

In this paper, we develop upon the emerging topic of loss function learning, which aims to learn loss functions that significantly improve the performance of the models trained under them. Specifically, we propose a new meta-learning…

Machine Learning · Computer Science 2024-07-02 Christian Raymond , Qi Chen , Bing Xue , Mengjie Zhang

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…

Machine learning methods have been remarkably successful for a wide range of application areas in the extraction of essential information from data. An exciting and relatively recent development is the uptake of machine learning in the…

Machine Learning · Computer Science 2020-03-13 Ribana Roscher , Bastian Bohn , Marco F. Duarte , Jochen Garcke

Current advances in Artificial Intelligence (AI) and Machine Learning (ML) have achieved unprecedented impact across research communities and industry. Nevertheless, concerns about trust, safety, interpretability and accountability of AI…

Artificial Intelligence · Computer Science 2020-12-18 Artur d'Avila Garcez , Luis C. Lamb

Accurate and explainable artificial-intelligence (AI) models are promising tools for the acceleration of the discovery of new materials, ore new applications for existing materials. Recently, symbolic regression has become an increasingly…

Data Analysis, Statistics and Probability · Physics 2023-05-03 Thomas A. R. Purcell , Matthias Scheffler , Luca M. Ghiringhelli

We introduce a neuro-symbolic natural logic framework based on reinforcement learning with introspective revision. The model samples and rewards specific reasoning paths through policy gradient, in which the introspective revision algorithm…

Computation and Language · Computer Science 2022-06-08 Yufei Feng , Xiaoyu Yang , Xiaodan Zhu , Michael Greenspan

Inferring latent interaction structures from observed dynamics is a fundamental inverse problem in many-body interacting systems. Most neural approaches rely on black-box surrogates over trainable graphs, achieving accuracy at the expense…

Machine Learning · Computer Science 2026-04-15 Xiaoxiao Liang , Juyuan Zhang , Liming Pan , Linyuan Lü

In recent years, neuro-symbolic methods have become a popular and powerful approach that augments artificial intelligence systems with the capability to perform abstract, logical, and quantitative deductions with enhanced precision and…

Artificial Intelligence · Computer Science 2025-02-04 Yuxuan Wu , Hideki Nakayama

This paper presents a novel RL algorithm, S-REINFORCE, which is designed to generate interpretable policies for dynamic decision-making tasks. The proposed algorithm leverages two types of function approximators, namely Neural Network (NN)…

Machine Learning · Computer Science 2023-05-15 Rajdeep Dutta , Qincheng Wang , Ankur Singh , Dhruv Kumarjiguda , Li Xiaoli , Senthilnath Jayavelu

Visual data is used in numerous different scientific workflows ranging from remote sensing to ecology. As the amount of observation data increases, the challenge is not just to make accurate predictions but also to understand the underlying…

Computer Vision and Pattern Recognition · Computer Science 2025-02-17 Utkarsh Mall , Cheng Perng Phoo , Mia Chiquier , Bharath Hariharan , Kavita Bala , Carl Vondrick
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