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This paper proposes a joint training method to learn both the variational auto-encoder (VAE) and the latent energy-based model (EBM). The joint training of VAE and latent EBM are based on an objective function that consists of three…

Computer Vision and Pattern Recognition · Computer Science 2020-06-12 Tian Han , Erik Nijkamp , Linqi Zhou , Bo Pang , Song-Chun Zhu , Ying Nian Wu

Discrete flow models (DFMs) are a class of flexible generative models for generating discrete data, and diffusion large language models (dLLMs) can be viewed as a special case with a specific choice of mixture path and a masked source…

Machine Learning · Computer Science 2026-05-12 Zhengyan Wan , Yidong Ouyang , Panwen Hu , Qiang Sun

Training energy-based models (EBMs) on high-dimensional data can be both challenging and time-consuming, and there exists a noticeable gap in sample quality between EBMs and other generative frameworks like GANs and diffusion models. To…

Machine Learning · Statistics 2024-11-12 Yaxuan Zhu , Jianwen Xie , Yingnian Wu , Ruiqi Gao

Generative AI (GenAI) has revolutionized data-driven modeling by enabling the synthesis of high-dimensional data across various applications, including image generation, language modeling, biomedical signal processing, and anomaly…

Machine Learning · Computer Science 2025-09-09 Yao Xie , Xiuyuan Cheng

Building on the success of diffusion models in visual generation, flow-based models reemerge as another prominent family of generative models that have achieved competitive or better performance in terms of both visual quality and inference…

Computer Vision and Pattern Recognition · Computer Science 2024-09-27 Wenliang Zhao , Minglei Shi , Xumin Yu , Jie Zhou , Jiwen Lu

Many measurements or observations in computer vision and machine learning manifest as non-Euclidean data. While recent proposals (like spherical CNN) have extended a number of deep neural network architectures to manifold-valued data, and…

Computer Vision and Pattern Recognition · Computer Science 2021-03-02 Xingjian Zhen , Rudrasis Chakraborty , Liu Yang , Vikas Singh

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

We introduce a generative learning framework to model high-dimensional parametric systems using gradient guidance and virtual observations. We consider systems described by Partial Differential Equations (PDEs) discretized with structured…

Machine Learning · Computer Science 2024-08-02 Han Gao , Sebastian Kaltenbach , Petros Koumoutsakos

We motivate Energy-Based Models (EBMs) as a promising model class for continual learning problems. Instead of tackling continual learning via the use of external memory, growing models, or regularization, EBMs change the underlying training…

Machine Learning · Computer Science 2025-03-05 Shuang Li , Yilun Du , Gido M. van de Ven , 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

Molecular generation conditioned on textual descriptions is a fundamental task in computational chemistry and drug discovery. Existing methods often struggle to simultaneously ensure high-quality, diverse generation and fast inference. In…

Machine Learning · Computer Science 2025-08-08 Md Atik Ahamed , Qiang Ye , Qiang Cheng

Energy-Based Models (EBMs) are an important class of probabilistic models, also known as random fields and undirected graphical models. EBMs are un-normalized and thus radically different from other popular self-normalized probabilistic…

Machine Learning · Computer Science 2024-03-19 Zhijian Ou

In this paper, we present a general method that can improve the sample quality of pre-trained likelihood based generative models. Our method constructs an energy function on the latent variable space that yields an energy function on…

Machine Learning · Computer Science 2020-06-16 Zhisheng Xiao , Qing Yan , Yali Amit

A novel accelerated mobile edge generation (MEG) framework is proposed for generating high-resolution images on mobile devices. Exploiting a large-scale latent diffusion model (LDM) distributed across edge server (ES) and user equipment…

Systems and Control · Electrical Eng. & Systems 2024-08-08 Xiaoxia Xu , Yuanwei Liu , Xidong Mu , Hong Xing , Arumugam Nallanathan

Deep learning-based generative models have emerged as powerful tools for modeling complex data distributions and generating high-fidelity samples, offering a transformative approach to efficiently explore the configuration space of…

Materials Science · Physics 2025-11-12 Xiaoshan Luo , Zhenyu Wang , Qingchang Wang , Jian Lv , Lei Wang , Yanchao Wang , Yanming Ma

The future motion of traffic participants is inherently uncertain. To plan safely, therefore, an autonomous agent must take into account multiple possible trajectory outcomes and prioritize them. Recently, this problem has been addressed…

Computer Vision and Pattern Recognition · Computer Science 2021-08-02 Christoph Schöller , Alois Knoll

Flow-based methods have achieved significant success in various generative modeling tasks, capturing nuanced details within complex data distributions. However, few existing works have exploited this unique capability to resolve…

Machine Learning · Statistics 2026-02-03 Yakun Wang , Leyang Wang , Song Liu , Taiji Suzuki

The Variational AutoEncoder (VAE) learns simultaneously an inference and a generative model, but only one of these models can be learned at optimum, this behaviour is associated to the ELBO learning objective, that is optimised by a…

Machine Learning · Computer Science 2020-11-10 Vincenzo Crescimanna , Bruce Graham

Maximum likelihood (ML) learning for energy-based models (EBMs) is challenging, partly due to non-convergence of Markov chain Monte Carlo.Several variations of ML learning have been proposed, but existing methods all fail to achieve both…

Machine Learning · Statistics 2023-04-24 Xinwei Zhang , Zhiqiang Tan , Zhijian Ou

Flow-based generative models, conceptually attractive due to tractability of both the exact log-likelihood computation and latent-variable inference, and efficiency of both training and sampling, has led to a number of impressive empirical…

Machine Learning · Computer Science 2019-10-29 Xuezhe Ma , Xiang Kong , Shanghang Zhang , Eduard Hovy
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