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Several density estimation methods have shown to fail to detect out-of-distribution (OOD) samples by assigning higher likelihoods to anomalous data. Energy-based models (EBMs) are flexible, unnormalized density models which seem to be able…

Machine Learning · Computer Science 2021-07-20 Sven Elflein , Bertrand Charpentier , Daniel Zügner , Stephan Günnemann

Multi-attribute classification generalizes classification, presenting new challenges for making accurate predictions and quantifying uncertainty. We build upon recent work and show that architectures for multi-attribute prediction can be…

Computer Vision and Pattern Recognition · Computer Science 2021-08-10 Jacob Kelly , Richard Zemel , Will Grathwohl

We present Generalized Contrastive Divergence (GCD), a novel objective function for training an energy-based model (EBM) and a sampler simultaneously. GCD generalizes Contrastive Divergence (Hinton, 2002), a celebrated algorithm for…

Machine Learning · Computer Science 2023-12-07 Sangwoong Yoon , Dohyun Kwon , Himchan Hwang , Yung-Kyun Noh , Frank C. Park

Energy-based models (EBM) have become increasingly popular within computer vision. EBMs bring a probabilistic approach to training deep neural networks (DNN) and have been shown to enhance performance in areas such as calibration,…

Machine Learning · Computer Science 2023-04-05 Jacob Piland , Christopher Sweet , Priscila Saboia , Charles Vardeman , Adam Czajka

Diffusion models excel in solving imaging inverse problems due to their ability to model complex image priors. However, their reliance on large, clean datasets for training limits their practical use where clean data is scarce. In this…

Computer Vision and Pattern Recognition · Computer Science 2024-07-02 Weimin Bai , Yifei Wang , Wenzheng Chen , He Sun

This work studies the learning problem of the energy-based prior model and the multi-layer generator model. The multi-layer generator model, which contains multiple layers of latent variables organized in a top-down hierarchical structure,…

Machine Learning · Computer Science 2024-05-29 Jiali Cui , Tian Han

We show that the bias of the approximate maximum-likelihood estimation (MLE) objective of a persistent chain energy-based model (EBM) is precisely equal to the thermodynamic excess work of an overdamped Langevin dynamical system. We then…

Statistical Mechanics · Physics 2025-10-06 Jeff Hnybida , Simon Verret

We present a new method of training energy-based models (EBMs) for anomaly detection that leverages low-dimensional structures within data. The proposed algorithm, Manifold Projection-Diffusion Recovery (MPDR), first perturbs a data point…

Machine Learning · Computer Science 2023-10-31 Sangwoong Yoon , Young-Uk Jin , Yung-Kyun Noh , Frank C. Park

An energy-based model (EBM) is a popular generative framework that offers both explicit density and architectural flexibility, but training them is difficult since it is often unstable and time-consuming. In recent years, various training…

Machine Learning · Computer Science 2023-03-07 Hankook Lee , Jongheon Jeong , Sejun Park , Jinwoo Shin

Energy-based models (EBMs) are generative models that are usually trained via maximum likelihood estimation. This approach becomes challenging in generic situations where the trained energy is non-convex, due to the need to sample the Gibbs…

Machine Learning · Computer Science 2022-02-16 Carles Domingo-Enrich , Alberto Bietti , Marylou Gabrié , Joan Bruna , Eric Vanden-Eijnden

Diffusion models have emerged as powerful generative priors for high-dimensional inverse problems, yet learning them when only corrupted or noisy observations are available remains challenging. In this work, we propose a new method for…

Machine Learning · Computer Science 2025-12-23 Danial Hosseintabar , Fan Chen , Giannis Daras , Antonio Torralba , Constantinos Daskalakis

In this chapter we provide a thorough overview of the use of energy-based models (EBMs) in the context of inverse imaging problems. EBMs are probability distributions modeled via Gibbs densities $p(x) \propto \exp{-E(x)}$ with an…

Image and Video Processing · Electrical Eng. & Systems 2025-09-17 Andreas Habring , Martin Holler , Thomas Pock , Martin Zach

Despite remarkable progress in autoregressive language models, alternative generative paradigms beyond left-to-right generation are still being actively explored. Discrete diffusion models, with the capacity for parallel generation, have…

Computation and Language · Computer Science 2025-03-10 Minkai Xu , Tomas Geffner , Karsten Kreis , Weili Nie , Yilun Xu , Jure Leskovec , Stefano Ermon , Arash Vahdat

Energy-Based Models (EBMs) present a flexible and appealing way to represent uncertainty. Despite recent advances, training EBMs on high-dimensional data remains a challenging problem as the state-of-the-art approaches are costly, unstable,…

Machine Learning · Computer Science 2021-06-08 Will Grathwohl , Jacob Kelly , Milad Hashemi , Mohammad Norouzi , Kevin Swersky , David Duvenaud

We introduce the Generalized Energy Based Model (GEBM) for generative modelling. These models combine two trained components: a base distribution (generally an implicit model), which can learn the support of data with low intrinsic…

Machine Learning · Statistics 2021-12-22 Michael Arbel , Liang Zhou , Arthur Gretton

Learning energy-based model (EBM) requires MCMC sampling of the learned model as an inner loop of the learning algorithm. However, MCMC sampling of EBMs in high-dimensional data space is generally not mixing, because the energy function,…

Machine Learning · Statistics 2022-03-17 Erik Nijkamp , Ruiqi Gao , Pavel Sountsov , Srinivas Vasudevan , Bo Pang , Song-Chun Zhu , Ying Nian Wu

Model-based planning holds great promise for improving both sample efficiency and generalization in reinforcement learning (RL). We show that energy-based models (EBMs) are a promising class of models to use for model-based planning. EBMs…

Machine Learning · Computer Science 2021-03-09 Yilun Du , Toru Lin , Igor Mordatch

Score-based generative models have recently achieved remarkable success. While they are usually parameterized by the score, an alternative way is to use a series of time-dependent energy-based models (EBMs), where the score is obtained from…

Machine Learning · Statistics 2026-05-22 RuiKang OuYang , Louis Grenioux , José Miguel Hernández-Lobato

Energy-based models (EBMs) provide a powerful and flexible way of learning a joint probability distribution over data by constructing an energy surface. This energy surface enables insight extraction and conditional sampling. We apply EBMs…

Plasma Physics · Physics 2026-05-12 Phil Travis , Troy Carter

We present a maximum entropy inverse reinforcement learning (IRL) approach for improving the sample quality of diffusion generative models, especially when the number of generation time steps is small. Similar to how IRL trains a policy…

Machine Learning · Computer Science 2024-11-01 Sangwoong Yoon , Himchan Hwang , Dohyun Kwon , Yung-Kyun Noh , Frank C. Park