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Deep feedforward neural networks (DFNNs) are a powerful tool for functional approximation. We describe flexible versions of generalized linear and generalized linear mixed models incorporating basis functions formed by a DFNN. The…

Computation · Statistics 2018-05-28 Minh-Ngoc Tran , Nghia Nguyen , David Nott , Robert Kohn

Generative flow networks (GFNs) are a class of models for sequential sampling of composite objects, which approximate a target distribution that is defined in terms of an energy function or a reward. GFNs are typically trained using a flow…

Machine Learning · Statistics 2022-10-17 Heiko Zimmermann , Fredrik Lindsten , Jan-Willem van de Meent , Christian A. Naesseth

In this paper, we study deep generative models for effective unsupervised learning. We propose VGAN, which works by minimizing a variational lower bound of the negative log likelihood (NLL) of an energy based model (EBM), where the model…

Machine Learning · Computer Science 2016-11-08 Shuangfei Zhai , Yu Cheng , Rogerio Feris , Zhongfei Zhang

Generative flow networks (GFlowNets) are a method for learning a stochastic policy for generating compositional objects, such as graphs or strings, from a given unnormalized density by sequences of actions, where many possible action…

Machine Learning · Computer Science 2023-10-05 Nikolay Malkin , Moksh Jain , Emmanuel Bengio , Chen Sun , Yoshua Bengio

Generation of molecules with desired chemical and biological properties such as high drug-likeness, high binding affinity to target proteins, is critical for drug discovery. In this paper, we propose a probabilistic generative model to…

Biomolecules · Quantitative Biology 2023-07-12 Deqian Kong , Bo Pang , Tian Han , Ying Nian Wu

Achieving chemical accuracy in quantum simulations is often constrained by the measurement bottleneck: estimating operators requires a large number of shots, which remains costly even on fault-tolerant devices and is further exacerbated on…

Quantum Physics · Physics 2025-09-22 Isaac L. Huidobro-Meezs , Jun Dai , Rodrigo A. Vargas-Hernández

We introduce a novel training principle for probabilistic models that is an alternative to maximum likelihood. The proposed Generative Stochastic Networks (GSN) framework is based on learning the transition operator of a Markov chain whose…

Machine Learning · Computer Science 2014-05-27 Yoshua Bengio , Éric Thibodeau-Laufer , Guillaume Alain , Jason Yosinski

Generative models have shown strong generation ability while efficient likelihood estimation is less explored. Energy-based models~(EBMs) define a flexible energy function to parameterize unnormalized densities efficiently but are notorious…

Machine Learning · Computer Science 2024-06-11 Cong Geng , Tian Han , Peng-Tao Jiang , Hao Zhang , Jinwei Chen , Søren Hauberg , Bo Li

Deep generative models are a class of techniques that train deep neural networks to model the distribution of training samples. Research has fragmented into various interconnected approaches, each of which make trade-offs including…

Machine Learning · Computer Science 2022-03-29 Sam Bond-Taylor , Adam Leach , Yang Long , Chris G. Willcocks

Generative Bayesian Filtering (GBF) provides a powerful and flexible framework for performing posterior inference in complex nonlinear and non-Gaussian state-space models. Our approach extends Generative Bayesian Computation (GBC) to…

Methodology · Statistics 2025-11-07 Edoardo Marcelli , Sean O'Hagan , Veronika Rockova

Ensembles of networks arise in many scientific fields, but there are few statistical tools for inferring their generative processes, particularly in the presence of both dyadic dependence and cross-graph heterogeneity. To fill in this gap,…

Methodology · Statistics 2020-04-23 Fan Yin , Weining Shen , Carter T. Butts

This paper proposes a multi-grid method for learning energy-based generative ConvNet models of images. For each grid, we learn an energy-based probabilistic model where the energy function is defined by a bottom-up convolutional neural…

Machine Learning · Statistics 2020-10-16 Ruiqi Gao , Yang Lu , Junpei Zhou , Song-Chun Zhu , Ying Nian Wu

Generative Flow Networks (GFlowNets) are a novel class of generative models designed to sample from unnormalized distributions and have found applications in various important tasks, attracting great research interest in their training…

Machine Learning · Computer Science 2024-10-04 Rui Hu , Yifan Zhang , Zhuoran Li , Longbo Huang

Energy-based models for discrete domains, such as graphs, explicitly capture relative likelihoods, naturally enabling composable probabilistic inference tasks like conditional generation or enforcing constraints at test-time. However,…

As a classical generative modeling approach, energy-based models have the natural advantage of flexibility in the form of the energy function. Recently, energy-based models have achieved great success in modeling high-dimensional data in…

Machine Learning · Computer Science 2024-01-19 Taoli Cheng , Aaron Courville

Efficiently identifying the right trajectories for training remains an open problem in GFlowNets. To address this, it is essential to prioritize exploration in regions of the state space where the reward distribution has not been…

Machine Learning · Computer Science 2025-10-23 Sajan Muhammad , Salem Lahlou

Motivated by oceanographic observational datasets, we propose a probabilistic neural network (PNN) model for calculating turbulent energy dissipation rates from vertical columns of velocity and density gradients in density stratified…

Molecules in equilibrium follow a Boltzmann distribution, making the underlying energy landscape a physically grounded modeling objective. However, such landscapes are difficult to learn from data and, once learned, hard to sample from.…

Machine Learning · Computer Science 2026-05-19 Christoph Griesbacher , Lea Bogensperger , Andreas Habring , Thomas Pock

Among the many variants of graph neural network (GNN) architectures capable of modeling data with cross-instance relations, an important subclass involves layers designed such that the forward pass iteratively reduces a graph-regularized…

Machine Learning · Computer Science 2025-03-03 Haitian Jiang , Renjie Liu , Zengfeng Huang , Yichuan Wang , Xiao Yan , Zhenkun Cai , Minjie Wang , David Wipf

Data-driven methods are widely used to develop physical models, but there still exist limitations that affect their performance, generalizability and robustness. By combining gene expression programming (GEP) with artificial neural network…

Computational Physics · Physics 2023-01-19 Haochen Li , Fabian Waschkowski , Yaomin Zhao , Richard D. Sandberg
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