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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

We formulate the inverse problem in a Bayesian framework and aim to train a generative model that allows us to simulate (i.e., sample from the likelihood) and do inference (i.e., sample from the posterior). We review the use of triangular…

Machine Learning · Statistics 2025-09-05 Tristan van Leeuwen , Christoph Brune , Marcello Carioni

A common assumption in causal modeling posits that the data is generated by a set of independent mechanisms, and algorithms should aim to recover this structure. Standard unsupervised learning, however, is often concerned with training a…

Machine Learning · Computer Science 2019-03-05 Francesco Locatello , Damien Vincent , Ilya Tolstikhin , Gunnar Rätsch , Sylvain Gelly , Bernhard Schölkopf

Training in machine learning generally consists in finding one model, whose parameters minimize a data-dependent loss. Yet, empirical work shows that ensemble learning, an approach in which multiple models are sampled, can improve…

Disordered Systems and Neural Networks · Physics 2026-04-28 Thomas Tulinski , Jorge Fernandez-De-Cossio-Diaz , Simona Cocco , Rémi Monasson

Deep generative models such as diffusion and flow matching are powerful machine learning tools capable of learning and sampling from high-dimensional distributions. They are particularly useful when the training data appears to be…

High Energy Physics - Phenomenology · Physics 2026-04-30 Zachary Bogorad , Ibrahim Elsharkawy , Yonatan Kahn , Andrew J. Larkoski , Noam Levi

Energy-based models (EBMs) are generative models inspired by statistical physics with a wide range of applications in unsupervised learning. Their performance is best measured by the cross-entropy (CE) of the model distribution relative to…

Machine Learning · Computer Science 2023-12-14 Davide Carbone , Mengjian Hua , Simon Coste , Eric Vanden-Eijnden

We focus on the problem of efficient sampling and learning of probability densities by incorporating symmetries in probabilistic models. We first introduce Equivariant Stein Variational Gradient Descent algorithm -- an equivariant sampling…

Machine Learning · Computer Science 2021-07-30 Priyank Jaini , Lars Holdijk , Max Welling

Adversarial training methods typically align distributions by solving two-player games. However, in most current formulations, even if the generator aligns perfectly with data, a sub-optimal discriminator can still drive the two apart.…

Machine Learning · Computer Science 2020-02-21 Shangyuan Tong , Timur Garipov , Tommi Jaakkola

Motivated by the penetration of converter-based generation into the electrical grid, we revisit the classical log-linear learning algorithm for optimal allocation {of synchronous machines and converters} for mixed power generation. The…

Optimization and Control · Mathematics 2021-04-02 Taouba Jouini , Zhiyong Sun

This paper proposes a multi-grid method for learning energy-based generative ConvNet models of images. For each grid, we learn an energy-based probabilistic model where the energy function is defined by a bottom-up convolutional neural…

Machine Learning · Statistics 2020-10-16 Ruiqi Gao , Yang Lu , Junpei Zhou , Song-Chun Zhu , Ying Nian Wu

Multi-task learning (MTL) is often achieved by merging datasets before fine-tuning, but the growing availability of fine-tuned models has led to new approaches such as model merging via task arithmetic. A major challenge in this setting is…

Machine Learning · Computer Science 2025-09-15 Brahim Touayouch , Loïc Fosse , Géraldine Damnati , Gwénolé Lecorvé

Adversarial Training (AT) is known as an effective approach to enhance the robustness of deep neural networks. Recently researchers notice that robust models with AT have good generative ability and can synthesize realistic images, while…

Machine Learning · Computer Science 2022-03-28 Yifei Wang , Yisen Wang , Jiansheng Yang , Zhouchen Lin

Consider learning a generative model for time-series data. The sequential setting poses a unique challenge: Not only should the generator capture the conditional dynamics of (stepwise) transitions, but its open-loop rollouts should also…

Machine Learning · Statistics 2023-11-03 Daniel Jarrett , Ioana Bica , Mihaela van der Schaar

Learning to sample from complex unnormalized distributions is a fundamental challenge in computational physics and machine learning. While score-based and variational methods have achieved success in continuous domains, extending them to…

Machine Learning · Statistics 2026-03-11 Lei Li , Zhen Wang , Lishuo Zhang

Multi-modal generative AI systems, such as those combining vision and language, rely on contrastive pre-training to learn representations across different modalities. While their practical benefits are widely acknowledged, a rigorous…

Machine Learning · Computer Science 2025-10-22 Kazusato Oko , Licong Lin , Yuhang Cai , Song Mei

Deep structured-prediction energy-based models combine the expressive power of learned representations and the ability of embedding knowledge about the task at hand into the system. A common way to learn parameters of such models consists…

Machine Learning · Computer Science 2019-03-01 Aleksandr Shevchenko , Anton Osokin

Learning across domains is challenging when data cannot be centralized due to privacy or heterogeneity, which limits the ability to train a single comprehensive model. Model merging provides an appealing alternative by consolidating…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-16 Junming Liu , Yusen Zhang , Rongchao Zhang , Wenkai Zhu , Tian Wu

Independently trained machine learning models tend to learn similar features. Given an ensemble of independently trained models, this results in correlated predictions and common failure modes. Previous attempts focusing on decorrelation of…

Multi-party learning provides solutions for training joint models with decentralized data under legal and practical constraints. However, traditional multi-party learning approaches are confronted with obstacles such as system…

Machine Learning · Computer Science 2021-05-26 Yuan Gao , Jiawei Li , Maoguo Gong , Yu Xie , A. K. Qin

This paper provides a first study of utilizing energy harvesting for sustainable machine learning in distributed networks. We consider a distributed learning setup in which a machine learning model is trained over a large number of devices…

Machine Learning · Computer Science 2021-02-11 Basak Guler , Aylin Yener