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Generative Flow Networks (GFlowNets) are amortized sampling methods that learn a distribution over discrete objects proportional to their rewards. GFlowNets exhibit a remarkable ability to generate diverse samples, yet occasionally struggle…

Machine Learning · Computer Science 2024-03-26 Minsu Kim , Taeyoung Yun , Emmanuel Bengio , Dinghuai Zhang , Yoshua Bengio , Sungsoo Ahn , Jinkyoo Park

Current learning models often struggle with human-like systematic generalization, particularly in learning compositional rules from limited data and extrapolating them to novel combinations. We introduce the Neural-Symbolic Recursive…

Machine Learning · Computer Science 2024-04-30 Qing Li , Yixin Zhu , Yitao Liang , Ying Nian Wu , Song-Chun Zhu , Siyuan Huang

Symbolic Regression tries to find a mathematical expression that describes the relationship of a set of explanatory variables to a measured variable. The main objective is to find a model that minimizes the error and, optionally, that also…

Artificial Intelligence · Computer Science 2018-02-27 Fabricio Olivetti de Franca

We present GFlowState, a visual analytics system designed to illuminate the training process of Generative Flow Networks (GFlowNets or GFNs). GFlowNets are a probabilistic framework for generating samples proportionally to a reward…

Machine Learning · Computer Science 2026-04-24 Florian Holeczek , Andreas Hinterreiter , Alex Hernandez-Garcia , Marc Streit , Christina Humer

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

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

We introduce a novel symbolic regression framework, namely KAN-SR, built on Kolmogorov Arnold Networks (KANs) which follows a divide-and-conquer approach. Symbolic regression searches for mathematical equations that best fit a given dataset…

Machine Learning · Computer Science 2025-09-15 Marco Andrea Bühler , Gonzalo Guillén-Gosálbez

This paper is about the problem of learning a stochastic policy for generating an object (like a molecular graph) from a sequence of actions, such that the probability of generating an object is proportional to a given positive reward for…

Machine Learning · Computer Science 2021-11-22 Emmanuel Bengio , Moksh Jain , Maksym Korablyov , Doina Precup , Yoshua Bengio

In the realm of machine and deep learning regression tasks, the role of effective feature engineering (FE) is pivotal in enhancing model performance. Traditional approaches of FE often rely on domain expertise to manually design features…

Machine Learning · Computer Science 2024-06-18 Assaf Shmuel , Oren Glickman , Teddy Lazebnik

Symbolic regression (SR) is a powerful technique for discovering symbolic expressions that characterize nonlinear relationships in data, gaining increasing attention for its interpretability, compactness, and robustness. However, existing…

Machine Learning · Statistics 2025-06-09 Shengbin Ye , Meng Li

Building predictive models for tabular data presents fundamental challenges, notably in scaling consistently, i.e., more resources translating to better performance, and generalizing systematically beyond the training data distribution.…

Generative Flow Networks (GFlowNets) excel at sampling diverse, high-reward objects. In many practical applications where active reward queries are infeasible, these models must be trained using static offline datasets. Prevailing training…

Machine Learning · Computer Science 2026-05-26 Ruishuo Chen , Xun Wang , Rui Hu , Zhuoran Li , Longbo Huang

Generative Flow Networks (GFNs) have emerged as a powerful tool for sampling discrete objects from unnormalized distributions, offering a scalable alternative to Markov Chain Monte Carlo (MCMC) methods. While GFNs draw inspiration from…

Machine Learning · Computer Science 2025-02-24 Sobhan Mohammadpour , Emmanuel Bengio , Emma Frejinger , Pierre-Luc Bacon

Symbolic Regression (SR) is a machine learning approach that explores the space of mathematical expressions to identify those that best fit a given dataset, balancing both accuracy and simplicity. We apply SR to the study of Gray-Body…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-15 Guan-Wen Yuan , Marco Calzà , Davide Pedrotti

We present energy-based generative flow networks (EB-GFN), a novel probabilistic modeling algorithm for high-dimensional discrete data. Building upon the theory of generative flow networks (GFlowNets), we model the generation process by a…

Machine Learning · Computer Science 2022-06-10 Dinghuai Zhang , Nikolay Malkin , Zhen Liu , Alexandra Volokhova , Aaron Courville , Yoshua Bengio

Machine learning models have become firmly established across all scientific fields. Extracting features from data and making inferences based on them with neural network models often yields high accuracy; however, this approach has several…

Machine Learning · Computer Science 2026-01-13 Mikhail Lazarev , Andrey Ustyuzhanin

Generative Flow Networks (GFlowNets; GFNs) are a family of energy-based generative methods for combinatorial objects, capable of generating diverse and high-utility samples. However, consistently biasing GFNs towards producing high-utility…

Machine Learning · Computer Science 2024-11-04 Elaine Lau , Stephen Zhewen Lu , Ling Pan , Doina Precup , Emmanuel Bengio

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

In recent years, symbolic regression has been of wide interest to provide an interpretable symbolic representation of potentially large data relationships. Initially circled to genetic algorithms, symbolic regression methods now include a…

Machine Learning · Computer Science 2022-02-10 Laure Crochepierre , Lydia Boudjeloud-Assala , Vincent Barbesant

Deep learning and symbolic learning are two frequently employed methods in Sequential Recommendation (SR). Recent neural-symbolic SR models demonstrate their potential to enable SR to be equipped with concurrent perception and cognition…

Artificial Intelligence · Computer Science 2023-05-16 Huanhuan Yuan , Pengpeng Zhao , Xuefeng Xian , Guanfeng Liu , Victor S. Sheng , Lei Zhao
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