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Energy-based models (EBMs) implement inference as gradient descent on a learned Lyapunov function, yielding interpretable, structure-preserving alternatives to black-box neural ODEs and aligning naturally with physical AI. Yet their use in…

Systems and Control · Electrical Eng. & Systems 2026-04-03 Simone Betteti , Luca Laurenti

Energy-based latent variable models (EBLVMs) are more expressive than conventional energy-based models. However, its potential on visual tasks are limited by its training process based on maximum likelihood estimate that requires sampling…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 Ge Kan , Jinhu Lü , Tian Wang , Baochang Zhang , Aichun Zhu , Lei Huang , Guodong Guo , Hichem Snoussi

The commonly used latent space embedding techniques, such as Principal Component Analysis, Factor Analysis, and manifold learning techniques, are typically used for learning effective representations of homogeneous data. However, they do…

Machine Learning · Computer Science 2021-10-04 Yasin Yilmaz , Mehmet Aktukmak , Alfred O. Hero

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

Neural language models can be successfully trained on source code, leading to applications such as code completion. However, their versatile autoregressive self-supervision objective overlooks important global sequence-level features that…

Machine Learning · Computer Science 2021-06-10 Tomasz Korbak , Hady Elsahar , Marc Dymetman , Germán Kruszewski

This paper proposes StrEBM, a structured latent energy-based model for source-wise structured representation learning. The framework is motivated by a broader goal of promoting identifiable and decoupled latent organization by assigning…

Machine Learning · Statistics 2026-04-21 Yuan-Hao Wei

As deep neural networks become more adept at traditional tasks, many of the most exciting new challenges concern multimodality---observations that combine diverse types, such as image and text. In this paper, we introduce a family of…

Machine Learning · Computer Science 2019-12-12 Mike Wu , Noah Goodman

Multi-modal data-sets are ubiquitous in modern applications, and multi-modal Variational Autoencoders are a popular family of models that aim to learn a joint representation of the different modalities. However, existing approaches suffer…

Machine Learning · Computer Science 2023-12-19 Mustapha Bounoua , Giulio Franzese , Pietro Michiardi

Variational Autoencoders for multimodal data hold promise for many tasks in data analysis, such as representation learning, conditional generation, and imputation. Current architectures either share the encoder output, decoder input, or…

Unsupervised ensemble learning emerged to address the challenge of combining multiple learners' predictions without access to ground truth labels or additional data. This paradigm is crucial in scenarios where evaluating individual…

Machine Learning · Computer Science 2026-01-29 Ariel Maymon , Yanir Buznah , Uri Shaham

We propose in this paper, STANLEY, a STochastic gradient ANisotropic LangEvin dYnamics, for sampling high dimensional data. With the growing efficacy and potential of Energy-Based modeling, also known as non-normalized probabilistic…

Machine Learning · Statistics 2023-10-20 Belhal Karimi , Jianwen Xie , Ping Li

Energy-based learning is a powerful learning paradigm that encapsulates various discriminative and generative approaches. An energy-based model (EBM) is typically formed of inner-model(s) that learn a combination of the different features…

Machine Learning · Computer Science 2023-06-05 Firas Laakom , Jenni Raitoharju , Alexandros Iosifidis , Moncef Gabbouj

Training energy-based probabilistic models is confronted with apparently intractable sums, whose Monte Carlo estimation requires sampling from the estimated probability distribution in the inner loop of training. This can be approximately…

Machine Learning · Computer Science 2016-06-13 Taesup Kim , Yoshua Bengio

In this work, we explore joint energy-based model (EBM) training during the finetuning of pretrained text encoders (e.g., Roberta) for natural language understanding (NLU) tasks. Our experiments show that EBM training can help the model…

Computation and Language · Computer Science 2021-02-22 Tianxing He , Bryan McCann , Caiming Xiong , Ehsan Hosseini-Asl

Multi-attribute classification generalizes classification, presenting new challenges for making accurate predictions and quantifying uncertainty. We build upon recent work and show that architectures for multi-attribute prediction can be…

Computer Vision and Pattern Recognition · Computer Science 2021-08-10 Jacob Kelly , Richard Zemel , Will Grathwohl

In this paper, we propose a novel generative model that utilizes a conditional Energy-Based Model (EBM) for enhancing Variational Autoencoder (VAE), termed Energy-Calibrated VAE (EC-VAE). Specifically, VAEs often suffer from blurry…

Computer Vision and Pattern Recognition · Computer Science 2024-07-19 Yihong Luo , Siya Qiu , Xingjian Tao , Yujun Cai , Jing Tang

The ability to accurately model random fields plays a critical role in science and engineering for problems involving uncertain, spatially-varying quantities such as heterogeneous material properties and turbulent flows. Deep generative…

We focus on generative autoencoders, such as variational or adversarial autoencoders, which jointly learn a generative model alongside an inference model. Generative autoencoders are those which are trained to softly enforce a prior on the…

Machine Learning · Computer Science 2017-01-13 Antonia Creswell , Kai Arulkumaran , Anil Anthony Bharath

While energy-based models (EBMs) exhibit a number of desirable properties, training and sampling on high-dimensional datasets remains challenging. Inspired by recent progress on diffusion probabilistic models, we present a diffusion…

Machine Learning · Computer Science 2021-03-30 Ruiqi Gao , Yang Song , Ben Poole , Ying Nian Wu , Diederik P. Kingma

In this paper, we study deep generative models for effective unsupervised learning. We propose VGAN, which works by minimizing a variational lower bound of the negative log likelihood (NLL) of an energy based model (EBM), where the model…

Machine Learning · Computer Science 2016-11-08 Shuangfei Zhai , Yu Cheng , Rogerio Feris , Zhongfei Zhang