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In this paper, we propose to equip Generative Adversarial Networks with the ability to produce direct energy estimates for samples.Specifically, we propose a flexible adversarial training framework, and prove this framework not only ensures…

Machine Learning · Computer Science 2017-02-27 Zihang Dai , Amjad Almahairi , Philip Bachman , Eduard Hovy , Aaron Courville

Generative adversarial networks (GANs) are a recently proposed class of generative models in which a generator is trained to optimize a cost function that is being simultaneously learned by a discriminator. While the idea of learning cost…

Machine Learning · Computer Science 2016-11-28 Chelsea Finn , Paul Christiano , Pieter Abbeel , Sergey Levine

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

Contrastive learning is a method of learning visual representations by training Deep Neural Networks (DNNs) to increase the similarity between representations of positive pairs (transformations of the same image) and reduce the similarity…

Machine Learning · Computer Science 2022-10-26 Beomsu Kim , Jong Chul Ye

Energy-based models (EBMs) are a simple yet powerful framework for generative modeling. They are based on a trainable energy function which defines an associated Gibbs measure, and they can be trained and sampled from via well-established…

Machine Learning · Computer Science 2021-05-06 Carles Domingo-Enrich , Alberto Bietti , Eric Vanden-Eijnden , Joan Bruna

A crucial design decision for any robot learning pipeline is the choice of policy representation: what type of model should be used to generate the next set of robot actions? Owing to the inherent multi-modal nature of many robotic tasks,…

Robotics · Computer Science 2023-09-13 Sumeet Singh , Stephen Tu , Vikas Sindhwani

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

Maximum likelihood estimation is widely used in training Energy-based models (EBMs). Training requires samples from an unnormalized distribution, which is usually intractable, and in practice, these are obtained by MCMC algorithms such as…

Machine Learning · Computer Science 2021-04-23 Zhisheng Xiao , Qing Yan , Yali Amit

Joint Energy-based Models (JEMs) are well known for their ability to unify classification and generation within a single framework. Despite their promising generative and discriminative performance, their robustness remains far inferior to…

Machine Learning · Computer Science 2026-03-13 Kaichao Jiang , He Wang , Xiaoshuai Hao , Xiulong Yang , Ajian Liu , Qi Chu , Yunfeng Diao , Richang Hong

Adversarial training (AT) refers to integrating adversarial examples -- inputs altered with imperceptible perturbations that can significantly impact model predictions -- into the training process. Recent studies have demonstrated the…

Machine Learning · Computer Science 2024-10-22 Mengnan Zhao , Lihe Zhang , Jingwen Ye , Huchuan Lu , Baocai Yin , Xinchao Wang

Energy-Based Models (EBMs) have proven to be a highly effective approach for modelling densities on finite-dimensional spaces. Their ability to incorporate domain-specific choices and constraints into the structure of the model through…

Machine Learning · Computer Science 2023-02-24 Jen Ning Lim , Sebastian Vollmer , Lorenz Wolf , Andrew Duncan

DL-based automatic modulation classification (AMC) models are highly susceptible to adversarial attacks, where even minimal input perturbations can cause severe misclassifications. While adversarially training an AMC model based on an…

Machine Learning · Computer Science 2025-01-06 Amirmohammad Bamdad , Ali Owfi , Fatemeh Afghah

Inference-time computation techniques, analogous to human System 2 Thinking, have recently become popular for improving model performances. However, most existing approaches suffer from several limitations: they are modality-specific (e.g.,…

Energy-based models (EBMs) are a flexible class of deep generative models and are well-suited to capture complex dependencies in multimodal data. However, learning multimodal EBM by maximum likelihood requires Markov Chain Monte Carlo…

Machine Learning · Computer Science 2026-05-04 Jiali Cui , Zhiqiang Lao , Heather Yu

Energy-based modeling is a promising approach to unsupervised learning, which yields many downstream applications from a single model. The main difficulty in learning energy-based models with the "contrastive approaches" is the generation…

Machine Learning · Computer Science 2021-11-30 Kirill Neklyudov , Priyank Jaini , Max Welling

We present E NERGY N ET , a new framework for analyzing and building artificial neural network architectures. Our approach adaptively learns the structure of the networks in an unsupervised manner. The methodology is based upon the…

Machine Learning · Computer Science 2017-11-10 Gus Kristiansen , Xavi Gonzalvo

Training an ensemble of diverse sub-models has been empirically demonstrated as an effective strategy for improving the adversarial robustness of deep neural networks. However, current ensemble training methods for image recognition…

Machine Learning · Computer Science 2023-05-24 Lele Wang , Bin Liu

Adversarial training has been proven to be an effective technique for improving the adversarial robustness of models. However, there seems to be an inherent trade-off between optimizing the model for accuracy and robustness. To this end, we…

Computer Vision and Pattern Recognition · Computer Science 2020-08-20 Elahe Arani , Fahad Sarfraz , Bahram Zonooz

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

Latent space Energy-Based Models (EBMs), also known as energy-based priors, have drawn growing interests in the field of generative modeling due to its flexibility in the formulation and strong modeling power of the latent space. However,…

Machine Learning · Computer Science 2023-10-06 Peiyu Yu , Yaxuan Zhu , Sirui Xie , Xiaojian Ma , Ruiqi Gao , Song-Chun Zhu , Ying Nian Wu