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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

Score matching (SM) provides a compelling approach to learn energy-based models (EBMs) by avoiding the calculation of partition function. However, it remains largely open to learn energy-based latent variable models (EBLVMs), except some…

Machine Learning · Computer Science 2020-10-19 Fan Bao , Chongxuan Li , Kun Xu , Hang Su , Jun Zhu , Bo Zhang

To bridge the gap between the source and target domains in unsupervised domain adaptation (UDA), the most common strategy puts focus on matching the marginal distributions in the feature space through adversarial learning. However, such…

Computer Vision and Pattern Recognition · Computer Science 2022-01-19 Zhizhe Liu , Zhenfeng Zhu , Shuai Zheng , Yang Liu , Jiayu Zhou , Yao Zhao

Modern cyber-physical systems (CPS) integrate physics, computation, and learning, demanding modeling frameworks that are simultaneously composable, learnable, and verifiable. Yet existing approaches treat these goals in isolation: causal…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Thomas Beckers , Ján Drgoňa , Truong X. Nghiem

Electrocardiogram (ECG) analysis is foundational for cardiovascular disease diagnosis, yet the performance of deep learning models is often constrained by limited access to annotated data. Self-supervised contrastive learning has emerged as…

Machine Learning · Computer Science 2025-08-22 Yi Yuan , Joseph Van Duyn , Runze Yan , Zhuoyi Huang , Sulaiman Vesal , Sergey Plis , Xiao Hu , Gloria Hyunjung Kwak , Ran Xiao , Alex Fedorov

Contrastive learning is a family of self-supervised methods where a model is trained to solve a classification task constructed from unlabeled data. It has recently emerged as one of the leading learning paradigms in the absence of labels…

Machine Learning · Statistics 2021-03-05 Bingbin Liu , Pradeep Ravikumar , Andrej Risteski

Supervised contrastive learning (SupCL) has emerged as a prominent approach in representation learning, leveraging both supervised and self-supervised losses. However, achieving an optimal balance between these losses is challenging;…

Machine Learning · Computer Science 2025-03-12 Chungpa Lee , Jeongheon Oh , Kibok Lee , Jy-yong Sohn

Likelihood-free methods perform parameter inference in stochastic simulator models where evaluating the likelihood is intractable but sampling synthetic data is possible. One class of methods for this likelihood-free problem uses a…

Machine Learning · Statistics 2020-12-21 Conor Durkan , Iain Murray , George Papamakarios

Restricted Boltzmann Machines (RBMs) are general unsupervised learning devices to ascertain generative models of data distributions. RBMs are often trained using the Contrastive Divergence learning algorithm (CD), an approximation to the…

Machine Learning · Computer Science 2014-04-10 David Buchaca , Enrique Romero , Ferran Mazzanti , Jordi Delgado

We perform a non-asymptotic analysis of the contrastive divergence (CD) algorithm, a training method for unnormalized models. While prior work has established that (for exponential family distributions) the CD iterates asymptotically…

Machine Learning · Statistics 2025-10-16 Pierre Glaser , Kevin Han Huang , Arthur Gretton

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

This work focuses on dimension-reduction techniques for modelling conditional extreme values. Specifically, we investigate the idea that extreme values of a response variable can be explained by nonlinear functions derived from linear…

Methodology · Statistics 2024-05-27 Julyan Arbel , Stéphane Girard , Hadrien Lorenzo

Most video-and-language representation learning approaches employ contrastive learning, e.g., CLIP, to project the video and text features into a common latent space according to the semantic similarities of text-video pairs. However, such…

Computer Vision and Pattern Recognition · Computer Science 2022-11-22 Peng Jin , Jinfa Huang , Fenglin Liu , Xian Wu , Shen Ge , Guoli Song , David A. Clifton , Jie Chen

Clustering is a widely deployed unsupervised learning tool. Model-based clustering is a flexible framework to tackle data heterogeneity when the clusters have different shapes. Likelihood-based inference for mixture distributions often…

Machine Learning · Statistics 2023-05-30 Yubo Zhuang , Xiaohui Chen , Yun Yang

Stochastic discriminative EM (sdEM) is an online-EM-type algorithm for discriminative training of probabilistic generative models belonging to the exponential family. In this work, we introduce and justify this algorithm as a stochastic…

Machine Learning · Computer Science 2017-04-05 Andres R. Masegosa

Energy-based models (EBMs) are versatile density estimation models that directly parameterize an unnormalized log density. Although very flexible, EBMs lack a specified normalization constant of the model, making the likelihood of the model…

Machine Learning · Computer Science 2024-02-20 Louis Grenioux , Éric Moulines , Marylou Gabrié

Contrastive learning has been demonstrated to be effective in enhancing pre-trained language models (PLMs) to derive superior universal sentence embeddings. However, existing contrastive methods still have two limitations. Firstly, previous…

Computation and Language · Computer Science 2022-10-11 Yuxin Jiang , Linhan Zhang , Wei Wang

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

Standard contrastive learning approaches usually require a large number of negatives for effective unsupervised learning and often exhibit slow convergence. We suspect this behavior is due to the suboptimal selection of negatives used for…

Machine Learning · Computer Science 2021-12-22 Anshul Shah , Suvrit Sra , Rama Chellappa , Anoop Cherian

To overcome the data-hungry challenge, we have proposed a semi-supervised contrastive learning framework for the task of class-imbalanced semantic segmentation. First and foremost, to make the model operate in a semi-supervised manner, we…

Computer Vision and Pattern Recognition · Computer Science 2022-11-29 Kangcheng Liu