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This paper studies the fundamental learning problem of the energy-based model (EBM). Learning the EBM can be achieved using the maximum likelihood estimation (MLE), which typically involves the Markov Chain Monte Carlo (MCMC) sampling, such…

Machine Learning · Computer Science 2023-12-06 Jiali Cui , Tian Han

Energy based models (EBMs) are appealing for their generality and simplicity in data likelihood modeling, but have conventionally been difficult to train due to the unstable and time-consuming implicit MCMC sampling during contrastive…

Machine Learning · Computer Science 2024-07-23 Junn Yong Loo , Michelle Adeline , Arghya Pal , Vishnu Monn Baskaran , Chee-Ming Ting , Raphael C. -W. Phan

Generative Pre-trained Transformer (GPT) architectures are the most popular design for language modeling. Energy-based modeling is a different paradigm that views inference as a dynamical process operating on an energy landscape. We propose…

Machine Learning · Computer Science 2026-05-04 Nima Dehmamy , Benjamin Hoover , Bishwajit Saha , Leo Kozachkov , Jean-Jacques Slotine , Dmitry Krotov

Energy-based models (EBMs) offer a flexible framework for parameterizing probability distributions using neural networks. However, learning EBMs by exact maximum likelihood estimation (MLE) is generally intractable, due to the need to…

Machine Learning · Computer Science 2025-08-20 Michael E. Sander , Vincent Roulet , Tianlin Liu , Mathieu Blondel

Energy-based models (EBMs) have become increasingly popular within computer vision in recent years. While they are commonly employed for generative image modeling, recent work has applied EBMs also for regression tasks, achieving…

Computer Vision and Pattern Recognition · Computer Science 2020-08-17 Fredrik K. Gustafsson , Martin Danelljan , Radu Timofte , Thomas B. Schön

Training energy-based models (EBMs) on discrete spaces is challenging because sampling over such spaces can be difficult. We propose to train discrete EBMs with energy discrepancy (ED), a novel type of contrastive loss functional which only…

Machine Learning · Statistics 2023-07-18 Tobias Schröder , Zijing Ou , Yingzhen Li , Andrew B. Duncan

Scenario-based probabilistic forecasts have become vital for decision-makers in handling intermittent renewable energies. This paper presents a recent promising deep learning generative approach called denoising diffusion probabilistic…

Machine Learning · Computer Science 2023-08-22 Esteban Hernandez Capel , Jonathan Dumas

In this work, we explore joint energy-based model (EBM) training during the finetuning of pretrained text encoders (e.g., Roberta) for natural language understanding (NLU) tasks. Our experiments show that EBM training can help the model…

Computation and Language · Computer Science 2021-02-22 Tianxing He , Bryan McCann , Caiming Xiong , Ehsan Hosseini-Asl

Energy-based models (EBMs) exhibit a variety of desirable properties in predictive tasks, such as generality, simplicity and compositionality. However, training EBMs on high-dimensional datasets remains unstable and expensive. In this…

Computer Vision and Pattern Recognition · Computer Science 2023-03-09 Xiulong Yang , Shihao Ji

Humans are remarkably good at understanding and reasoning about complex visual scenes. The capability to decompose low-level observations into discrete objects allows us to build a grounded abstract representation and identify the…

Machine Learning · Computer Science 2022-10-12 Ruixiang Zhang , Tong Che , Boris Ivanovic , Renhao Wang , Marco Pavone , Yoshua Bengio , Liam Paull

State-of-the-art deep learning models have achieved significant performance levels on various benchmarks. However, the excellent performance comes at a cost of inefficient computational cost. Light-weight architectures, on the other hand,…

Computer Vision and Pattern Recognition · Computer Science 2021-10-22 Mohammad Akbari , Amin Banitalebi-Dehkordi , Yong Zhang

We propose a novel generative saliency prediction framework that adopts an informative energy-based model as a prior distribution. The energy-based prior model is defined on the latent space of a saliency generator network that generates…

Computer Vision and Pattern Recognition · Computer Science 2023-06-28 Jing Zhang , Jianwen Xie , Nick Barnes , Ping Li

Latent diffusion models (LDMs) dominate high-quality image generation, yet integrating representation learning with generative modeling remains a challenge. We introduce a novel generative image modeling framework that seamlessly bridges…

Computer Vision and Pattern Recognition · Computer Science 2026-01-23 Theodoros Kouzelis , Efstathios Karypidis , Ioannis Kakogeorgiou , Spyros Gidaris , Nikos Komodakis

Consider learning a policy purely on the basis of demonstrated behavior -- that is, with no access to reinforcement signals, no knowledge of transition dynamics, and no further interaction with the environment. This *strictly batch…

Machine Learning · Statistics 2021-01-15 Daniel Jarrett , Ioana Bica , Mihaela van der Schaar

We present a discrete diffusion-based language model using Glauber dynamics from statistical physics. Our main insight is that instead of trying to train a discrete state space diffusion model using Glauber dynamics with a uniform…

Machine Learning · Computer Science 2026-05-07 Tarun Kathuria , Sachin Kumar

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

Retrosynthesis -- the process of identifying a set of reactants to synthesize a target molecule -- is of vital importance to material design and drug discovery. Existing machine learning approaches based on language models and graph neural…

Chemical Physics · Physics 2021-12-10 Ruoxi Sun , Hanjun Dai , Li Li , Steven Kearnes , Bo Dai

This paper investigates energy guidance in generative modeling, where the target distribution is defined as $q(\mathbf x) \propto p(\mathbf x)\exp(-\beta \mathcal E(\mathbf x))$, with $p(\mathbf x)$ being the data distribution and $\mathcal…

Machine Learning · Computer Science 2025-03-10 Shiyuan Zhang , Weitong Zhang , Quanquan Gu

Diffusion models have achieved state-of-the-art synthesis quality on both visual and audio tasks, and recent works further adapt them to textual data by diffusing on the embedding space. In this paper, we conduct systematic studies of the…

Computation and Language · Computer Science 2024-04-23 Zhujin Gao , Junliang Guo , Xu Tan , Yongxin Zhu , Fang Zhang , Jiang Bian , Linli Xu

Energy-Based Models (EBMs), also known as non-normalized probabilistic models, specify probability density or mass functions up to an unknown normalizing constant. Unlike most other probabilistic models, EBMs do not place a restriction on…

Machine Learning · Computer Science 2021-02-19 Yang Song , Diederik P. Kingma
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