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We introduce the "Energy-based Generative Adversarial Network" model (EBGAN) which views the discriminator as an energy function that attributes low energies to the regions near the data manifold and higher energies to other regions.…

Machine Learning · Computer Science 2017-03-08 Junbo Zhao , Michael Mathieu , Yann LeCun

As point cloud provides a natural and flexible representation usable in myriad applications (e.g., robotics and self-driving cars), the ability to synthesize point clouds for analysis becomes crucial. Recently, Xie et al. propose a…

Computer Vision and Pattern Recognition · Computer Science 2024-04-22 Yang Ye , Shihao Ji

Variational Autoencoder (VAE) and its variations are classic generative models by learning a low-dimensional latent representation to satisfy some prior distribution (e.g., Gaussian distribution). Their advantages over GAN are that they can…

Computer Vision and Pattern Recognition · Computer Science 2020-09-24 Cong Geng , Jia Wang , Li Chen , Zhiyong Gao

Autoregressive models (ARMs) currently constitute the dominant paradigm for large language models (LLMs). Energy-based models (EBMs) represent another class of models, which have historically been less prevalent in LLM development, yet…

Machine Learning · Computer Science 2026-05-26 Mathieu Blondel , Michael E. Sander , Germain Vivier-Ardisson , Tianlin Liu , Vincent Roulet

In model-based reinforcement learning, the agent interleaves between model learning and planning. These two components are inextricably intertwined. If the model is not able to provide sensible long-term prediction, the executed planner…

Machine Learning · Statistics 2019-03-19 Nan Rosemary Ke , Amanpreet Singh , Ahmed Touati , Anirudh Goyal , Yoshua Bengio , Devi Parikh , Dhruv Batra

There exist many forms of deep latent variable models, such as the variational autoencoder and adversarial autoencoder. Regardless of the specific class of model, there exists an implicit consensus that the latent distribution should be…

Machine Learning · Computer Science 2020-07-17 Rogan Morrow , Wei-Chen Chiu

We study a normalizing flow in the latent space of a top-down generator model, in which the normalizing flow model plays the role of the informative prior model of the generator. We propose to jointly learn the latent space normalizing flow…

Machine Learning · Statistics 2023-01-24 Jianwen Xie , Yaxuan Zhu , Yifei Xu , Dingcheng Li , Ping Li

Graphical models are powerful tools for modeling high-dimensional data, but learning graphical models in the presence of latent variables is well-known to be difficult. In this work we give new results for learning Restricted Boltzmann…

Machine Learning · Computer Science 2020-07-28 Surbhi Goel , Adam Klivans , Frederic Koehler

We propose a novel method called Long Expressive Memory (LEM) for learning long-term sequential dependencies. LEM is gradient-based, it can efficiently process sequential tasks with very long-term dependencies, and it is sufficiently…

Machine Learning · Computer Science 2022-02-28 T. Konstantin Rusch , Siddhartha Mishra , N. Benjamin Erichson , Michael W. Mahoney

Energy-based language models (ELMs) parameterize an unnormalized distribution for natural sentences and are radically different from popular autoregressive language models (ALMs). As an important application, ELMs have been successfully…

Computation and Language · Computer Science 2023-05-30 Hong Liu , Zhaobiao Lv , Zhijian Ou , Wenbo Zhao , Qing Xiao

We consider the approximation of functions by 2-layer neural networks with a small number of hidden weights based on the squared loss and small datasets. Due to the highly non-convex energy landscape, gradient-based training often suffers…

Machine Learning · Computer Science 2025-08-14 Johannes Hertrich , Sebastian Neumayer

Deep neural networks have been shown to be very successful at learning feature hierarchies in supervised learning tasks. Generative models, on the other hand, have benefited less from hierarchical models with multiple layers of latent…

Machine Learning · Computer Science 2017-06-12 Shengjia Zhao , Jiaming Song , Stefano Ermon

The rapid development of deep learning techniques, improved computational power, and the availability of vast training data have led to significant advancements in pre-trained models and large language models (LLMs). Pre-trained models…

Software Engineering · Computer Science 2024-04-04 Yuan Huang , Yinan Chen , Xiangping Chen , Junqi Chen , Rui Peng , Zhicao Tang , Jinbo Huang , Furen Xu , Zibin Zheng

Energy-Based Models (EBMs) provide a flexible framework for generative modeling, but their training remains theoretically challenging due to the need to approximate normalization constants and efficiently sample from complex, multi-modal…

Machine Learning · Computer Science 2025-06-10 Davide Carbone

We propose two neural network based mixture models in this article. The proposed mixture models are explicit in nature. The explicit models have analytical forms with the advantages of computing likelihood and efficiency of generating…

Machine Learning · Computer Science 2020-05-26 Dong Liu , Minh Thành Vu , Saikat Chatterjee , Lars K. Rasmussen

Latent diffusion models (LDMs) power state-of-the-art high-resolution generative image models. LDMs learn the data distribution in the latent space of an autoencoder (AE) and produce images by mapping the generated latents into RGB image…

Computer Vision and Pattern Recognition · Computer Science 2025-01-22 Tariq Berrada , Pietro Astolfi , Melissa Hall , Marton Havasi , Yohann Benchetrit , Adriana Romero-Soriano , Karteek Alahari , Michal Drozdzal , Jakob Verbeek

We present a conditional generative model that maps low-dimensional embeddings of multiple modalities of data to a common latent space hence extracting semantic relationships between them. The embedding specific to a modality is first…

Machine Learning · Computer Science 2017-07-27 Subhajit Chaudhury , Sakyasingha Dasgupta , Asim Munawar , Md. A. Salam Khan , Ryuki Tachibana

A deep generative model is developed for representation and analysis of images, based on a hierarchical convolutional dictionary-learning framework. Stochastic {\em unpooling} is employed to link consecutive layers in the model, yielding…

Computer Vision and Pattern Recognition · Computer Science 2015-12-25 Yunchen Pu , Xin Yuan , Andrew Stevens , Chunyuan Li , Lawrence Carin

Variational Autoencoders (VAEs) are expressive latent variable models that can be used to learn complex probability distributions from training data. However, the quality of the resulting model crucially relies on the expressiveness of the…

Machine Learning · Computer Science 2018-06-12 Lars Mescheder , Sebastian Nowozin , Andreas Geiger

Learning general latent-variable probabilistic graphical models is a key theoretical challenge in machine learning and artificial intelligence. All previous methods, including the EM algorithm and the spectral algorithms, face severe…

Machine Learning · Computer Science 2019-12-02 Borui Wang , Geoffrey Gordon