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This paper proposes a latent space energy-based prior model for semi-supervised learning. The model stands on a generator network that maps a latent vector to the observed example. The energy term of the prior model couples the latent…

Machine Learning · Computer Science 2020-10-20 Bo Pang , Erik Nijkamp , Jiali Cui , Tian Han , Ying Nian Wu

Due to the intractable partition function, training energy-based models (EBMs) by maximum likelihood requires Markov chain Monte Carlo (MCMC) sampling to approximate the gradient of the Kullback-Leibler divergence between data and model…

Machine Learning · Statistics 2021-12-28 Jianwen Xie , Zilong Zheng , Ping Li

Recent advances in analysis of subband amplitude envelopes of natural sounds have resulted in convincing synthesis, showing subband amplitudes to be a crucial component of perception. Probabilistic latent variable analysis is particularly…

Machine Learning · Computer Science 2019-03-28 William J. Wilkinson , Joshua D. Reiss , Dan Stowell

The EM-algorithm is a general procedure to get maximum likelihood estimates if part of the observations on the variables of a network are missing. In this paper a stochastic version of the algorithm is adapted to probabilistic neural…

Artificial Intelligence · Computer Science 2013-03-26 Gerhard Paass

Hidden Markov model (HMM) has been successfully used for sequential data modeling problems. In this work, we propose to power the modeling capacity of HMM by bringing in neural network based generative models. The proposed model is termed…

Machine Learning · Computer Science 2020-05-26 Dong Liu , Antoine Honoré , Saikat Chatterjee , Lars K. Rasmussen

Undirected graphical models are compact representations of joint probability distributions over random variables. To solve inference tasks of interest, graphical models of arbitrary topology can be trained using empirical risk minimization.…

Machine Learning · Computer Science 2020-10-23 Adarsh K. Jeewajee , Leslie P. Kaelbling

Bayesian inference on structured models typically relies on the ability to infer posterior distributions of underlying hidden variables. However, inference in implicit models or complex posterior distributions is hard. A popular tool for…

Machine Learning · Statistics 2016-12-16 Theofanis Karaletsos

Energy-based models (EBMs) are generative models that are usually trained via maximum likelihood estimation. This approach becomes challenging in generic situations where the trained energy is non-convex, due to the need to sample the Gibbs…

Machine Learning · Computer Science 2022-02-16 Carles Domingo-Enrich , Alberto Bietti , Marylou Gabrié , Joan Bruna , Eric Vanden-Eijnden

We derive a novel generative model from iterative Gaussian posterior inference. By treating the generated sample as an unknown variable, we can formulate the sampling process in the language of Bayesian probability. Our model uses a…

Machine Learning · Computer Science 2026-01-28 Marten Lienen , Marcel Kollovieh , Stephan Günnemann

Continual learning has become essential in many practical applications such as online news summaries and product classification. The primary challenge is known as catastrophic forgetting, a phenomenon where a model inadvertently discards…

Machine Learning · Computer Science 2025-01-13 Xiaodi Li , Dingcheng Li , Rujun Gao , Mahmoud Zamani , Latifur Khan

Energy-based models (EBMs) have become increasingly popular within computer vision in recent years. While they are commonly employed for generative image modeling, recent work has applied EBMs also for regression tasks, achieving…

Computer Vision and Pattern Recognition · Computer Science 2020-08-17 Fredrik K. Gustafsson , Martin Danelljan , Radu Timofte , Thomas B. Schön

Latent variable models (LVMs) with discrete compositional latents are an important but challenging setting due to a combinatorially large number of possible configurations of the latents. A key tradeoff in modeling the posteriors over…

Machine Learning · Computer Science 2023-06-06 Edward J. Hu , Nikolay Malkin , Moksh Jain , Katie Everett , Alexandros Graikos , Yoshua Bengio

This paper studies a curious phenomenon in learning energy-based model (EBM) using MCMC. In each learning iteration, we generate synthesized examples by running a non-convergent, non-mixing, and non-persistent short-run MCMC toward the…

Machine Learning · Statistics 2019-11-27 Erik Nijkamp , Mitch Hill , Song-Chun Zhu , Ying Nian Wu

We propose a latent space energy-based prior model for text generation and classification. The model stands on a generator network that generates the text sequence based on a continuous latent vector. The energy term of the prior model…

Machine Learning · Computer Science 2021-08-27 Bo Pang , Ying Nian Wu

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…

Deep energy-based models (EBMs) are very flexible in distribution parametrization but computationally challenging because of the intractable partition function. They are typically trained via maximum likelihood, using contrastive divergence…

Machine Learning · Computer Science 2020-07-22 Lantao Yu , Yang Song , Jiaming Song , Stefano Ermon

EM algorithm is a convenient tool for maximum likelihood model fitting when the data are incomplete or when there are latent variables or hidden states. In this review article we explain that EM algorithm is a natural computational scheme…

Methodology · Statistics 2011-04-13 Zhangzhang Si , Haifeng Gong , Song-Chun Zhu , Ying Nian Wu

We propose a generative model of unordered point sets, such as point clouds, in the form of an energy-based model, where the energy function is parameterized by an input-permutation-invariant bottom-up neural network. The energy function…

Computer Vision and Pattern Recognition · Computer Science 2021-04-08 Jianwen Xie , Yifei Xu , Zilong Zheng , Song-Chun Zhu , Ying Nian Wu

Deep generative models provide a systematic way to learn nonlinear data distributions, through a set of latent variables and a nonlinear "generator" function that maps latent points into the input space. The nonlinearity of the generator…

Machine Learning · Statistics 2021-12-14 Georgios Arvanitidis , Lars Kai Hansen , Søren Hauberg

Cognitive modeling commonly relies on asking participants to complete a battery of varied tests in order to estimate attention, working memory, and other latent variables. In many cases, these tests result in highly variable observation…

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