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Related papers: Deep Generative Symbolic Regression

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Deep generative models (DGMs) are data-eager because learning a complex model on limited data suffers from a large variance and easily overfits. Inspired by the classical perspective of the bias-variance tradeoff, we propose regularized…

Machine Learning · Computer Science 2023-04-11 Yong Zhong , Hongtao Liu , Xiaodong Liu , Fan Bao , Weiran Shen , Chongxuan Li

We study the potential of symbolic regression (SR) to derive compact and precise analytic expressions that can improve the accuracy and simplicity of phenomenological analyses at the Large Hadron Collider (LHC). As a benchmark, we apply SR…

High Energy Physics - Phenomenology · Physics 2024-12-12 Manuel Morales-Alvarado , Daniel Conde , Josh Bendavid , Veronica Sanz , Maria Ubiali

Many recent studies focus on developing mechanisms to explain the black-box behaviors of neural networks (NNs). However, little work has been done to extract the potential hidden semantics (mathematical representation) of a neural network.…

Machine Learning · Computer Science 2022-04-25 Yuanzhen Luo , Qiang Lu , Xilei Hu , Jake Luo , Zhiguang Wang

The goal in Symbolic Regression (SR) is to discover expressions that accurately map input to output data. Because often the intent is to understand these expressions, there is a trade-off between accuracy and the interpretability of…

Neural and Evolutionary Computing · Computer Science 2025-05-05 Joe Harrison , Peter A. N. Bosman , Tanja Alderliesten

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 reconstruction of particle tracks from hits in tracking detectors is a computationally intensive task due to the large combinatorics of detector signals. Recent efforts have proven that ML techniques can be successfully applied to the…

High Energy Physics - Experiment · Physics 2024-11-19 Nathalie Soybelman , Carlo Schiavi , Francesco A. Di Bello , Eilam Gross

Stochastic recurrent neural networks with latent random variables of complex dependency structures have shown to be more successful in modeling sequential data than deterministic deep models. However, the majority of existing methods have…

Machine Learning · Computer Science 2020-04-24 Ehsan Hajiramezanali , Arman Hasanzadeh , Nick Duffield , Krishna Narayanan , Mingyuan Zhou , Xiaoning Qian

Gaussian processes (GPs) have gained popularity as flexible machine learning models for regression and function approximation with an in-built method for uncertainty quantification. However, GPs suffer when the amount of training data is…

Machine Learning · Statistics 2025-11-26 Jonas Latz , Aretha L. Teckentrup , Simon Urbainczyk

The extensive adoption of Deep Neural Networks has led to their increased utilization in challenging scientific visualization tasks. Recent advancements in building compressed data models using implicit neural representations have shown…

Machine Learning · Computer Science 2025-10-20 Abhay Kumar Dwivedi , Shanu Saklani , Soumya Dutta

Guided depth map super-resolution (GDSR), which aims to reconstruct a high-resolution (HR) depth map from a low-resolution (LR) observation with the help of a paired HR color image, is a longstanding and fundamental problem, it has…

Computer Vision and Pattern Recognition · Computer Science 2023-03-08 Zhiwei Zhong , Xianming Liu , Junjun Jiang , Debin Zhao , Xiangyang Ji

Recently, generative graph models have shown promising results in learning graph representations through self-supervised methods. However, most existing generative graph representation learning (GRL) approaches rely on random masking across…

Machine Learning · Computer Science 2026-05-08 Xinyue Hu , Zhibin Duan , Xinyang Liu , Yuxin Li , Bo Chen , Chaojie Wang , Yilin He , Hongwei Liu , Mingyuan Zhou

Discovering interpretable physical laws from high-dimensional data is a fundamental challenge in scientific research. Traditional methods, such as symbolic regression, often produce complex, unphysical formulas when searching a vast space…

Computational Physics · Physics 2026-02-27 Yifeng Guan , Chuyi Liu , Dongzhan Zhou , Lei Bai , Wan-jian Yin , Jingyuan Li , Mao Su

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

Symbolic regression encompasses a family of search algorithms that aim to discover the best fitting function for a set of data without requiring an a priori specification of the model structure. The most successful and commonly used…

Neural and Evolutionary Computing · Computer Science 2025-08-20 Bogdan Burlacu

Generative retrieval (GR) has emerged as a new paradigm in neural information retrieval, offering an alternative to dense retrieval (DR) by directly generating identifiers of relevant documents. In this paper, we theoretically and…

Information Retrieval · Computer Science 2025-11-12 Yingchen Zhang , Ruqing Zhang , Jiafeng Guo , Maarten de Rijke , Yixing Fan , Xueqi Cheng

Noise ubiquitously exists in signals due to numerous factors including physical, electronic, and environmental effects. Traditional methods of symbolic regression, such as genetic programming or deep learning models, aim to find the most…

Machine Learning · Computer Science 2024-06-24 Jingyi Liu , Yanjie Li , Lina Yu , Min Wu , Weijun Li , Wenqiang Li , Meilan Hao , Yusong Deng , Shu Wei

Despite numerous successes in Deep Reinforcement Learning (DRL), the learned policies are not interpretable. Moreover, since DRL does not exploit symbolic relational representations, it has difficulties in coping with structural changes in…

Artificial Intelligence · Computer Science 2023-07-17 Rishi Hazra , Luc De Raedt

Symbolic regression aims to replace black-box predictors with concise analytical expressions that can be inspected and validated in scientific machine learning. Kolmogorov-Arnold Networks (KANs) are well suited to this goal because each…

Machine Learning · Computer Science 2026-04-21 Francesco Sovrano , Lidia Losavio , Giulia Vilone , Marc Langheinrich

Regression models are used for inference and prediction in a wide range of applications providing a powerful scientific tool for researchers and analysts from different fields. In many research fields the amount of available data as well as…

Methodology · Statistics 2018-06-08 Aliaksandr Hubin , Geir Storvik , Florian Frommlet

Symbolic regression (SR) searches for parametric models that accurately fit a dataset, prioritizing simplicity and interpretability. Despite this secondary objective, studies point out that the models are often overly complex due to…

Neural and Evolutionary Computing · Computer Science 2024-04-10 Guilherme Seidyo Imai Aldeia , Fabricio Olivetti de Franca , William G. La Cava
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