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Neurosymbolic Programming (NP) techniques have the potential to accelerate scientific discovery. These models combine neural and symbolic components to learn complex patterns and representations from data, using high-level concepts or known…

Neural networks (NNs) have been successfully applied to solve a variety of application problems involving classification and function approximation. Although backpropagation NNs generally predict better than decision trees do for pattern…

Neural and Evolutionary Computing · Computer Science 2010-09-28 S. M. Kamruzzaman

Signed graphs are powerful models for representing complex relations with both positive and negative connections. Recently, Signed Graph Neural Networks (SGNNs) have emerged as potent tools for analyzing such graphs. To our knowledge, no…

Machine Learning · Computer Science 2024-11-28 Zeyu Zhang , Lu Li , Xingyu Ji , Kaiqi Zhao , Xiaofeng Zhu , Philip S. Yu , Jiawei Li , Maojun Wang

Large Language Models (LLMs) exhibit persistent logical failures in complex reasoning due to the lack of an internal axiomatic framework. We propose Mathesis, a neuro-symbolic architecture that encodes mathematical states as higher-order…

Artificial Intelligence · Computer Science 2026-01-05 Keqin Xie

Discovering a meaningful symbolic expression that explains experimental data is a fundamental challenge in many scientific fields. We present a novel, open-source computational framework called Scientist-Machine Equation Detector (SciMED),…

Machine Learning · Computer Science 2023-03-02 Liron Simon Keren , Alex Liberzon , Teddy Lazebnik

In a regression task, a function is learned from labeled data to predict the labels at new data points. The goal is to achieve small prediction errors. In symbolic regression, the goal is more ambitious, namely, to learn an interpretable…

Machine Learning · Computer Science 2025-06-25 Paul Kahlmeyer , Joachim Giesen , Michael Habeck , Henrik Voigt

Regression analysis is used for prediction and to understand the effect of independent variables on dependent variables. Symbolic regression (SR) automates the search for non-linear regression models, delivering a set of hypotheses that…

Machine Learning · Computer Science 2025-04-09 Fabricio Olivetti de Franca , Gabriel Kronberger

We consider the problem of learning free-form symbolic expressions from raw data, such as that produced by an experiment in any scientific domain. Accurate and interpretable models of scientific phenomena are the cornerstone of scientific…

Machine Learning · Computer Science 2021-12-09 Nikos Arechiga , Francine Chen , Yan-Ying Chen , Yanxia Zhang , Rumen Iliev , Heishiro Toyoda , Kent Lyons

Neural-symbolic computing has now become the subject of interest of both academic and industry research laboratories. Graph Neural Networks (GNN) have been widely used in relational and symbolic domains, with widespread application of GNNs…

Artificial Intelligence · Computer Science 2021-06-15 Luis C. Lamb , Artur Garcez , Marco Gori , Marcelo Prates , Pedro Avelar , Moshe Vardi

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,…

Symbolic regression is a powerful tool for discovering governing equations directly from data, but its sensitivity to noise hinders its broader application. This paper introduces a Sequential Monte Carlo (SMC) framework for Bayesian…

Machine Learning · Computer Science 2025-12-12 Geoffrey F. Bomarito , Patrick E. Leser

The recent success of implicit neural scene representations has presented a viable new method for how we capture and store 3D scenes. Unlike conventional 3D representations, such as point clouds, which explicitly store scene properties in…

Computer Vision and Pattern Recognition · Computer Science 2021-01-19 Amit Kohli , Vincent Sitzmann , Gordon Wetzstein

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

Traditional machine learning is generally treated as a black-box optimization problem and does not typically produce interpretable functions that connect inputs and outputs. However, the ability to discover such interpretable functions is…

Machine Learning · Computer Science 2024-02-16 Nisal Ranasinghe , Damith Senanayake , Sachith Seneviratne , Malin Premaratne , Saman Halgamuge

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) methods attempt to learn mathematical expressions that approximate the behavior of an observed system. However, when dealing with multivariate systems, they often fail to identify the functional form that explains…

Machine Learning · Computer Science 2024-06-27 Giorgio Morales , John W. Sheppard

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

Vertical Symbolic Regression (VSR) recently has been proposed to expedite the discovery of symbolic equations with many independent variables from experimental data. VSR reduces the search spaces following the vertical discovery path by…

Machine Learning · Computer Science 2024-02-02 Nan Jiang , Md Nasim , Yexiang Xue

Interpretable regression models are important for many application domains, as they allow experts to understand relations between variables from sparse data. Symbolic regression addresses this issue by searching the space of all possible…

Artificial Intelligence · Computer Science 2022-06-14 Marcus Märtens , Dario Izzo

Symbolic regression (SR) has emerged as a pivotal technique for uncovering the intrinsic information within data and enhancing the interpretability of AI models. However, current state-of-the-art (sota) SR methods struggle to perform…

Machine Learning · Computer Science 2025-01-03 Chenglu Sun , Shuo Shen , Wenzhi Tao , Deyi Xue , Zixia Zhou
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