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Despite its wide use and empirical successes, the theoretical understanding and study of the behaviour and performance of the variational autoencoder (VAE) have only emerged in the past few years. We contribute to this recent line of work…

机器学习 · 计算机科学 2022-02-24 Badr-Eddine Chérief-Abdellatif , Yuyang Shi , Arnaud Doucet , Benjamin Guedj

The introduction of Variational Autoencoders (VAE) has been marked as a breakthrough in the history of representation learning models. Besides having several accolades of its own, VAE has successfully flagged off a series of inventions in…

机器学习 · 统计学 2021-10-11 Anish Chakrabarty , Swagatam Das

Variational Autoencoders (VAE) are popular generative models used to sample from complex data distributions. Despite their empirical success in various machine learning tasks, significant gaps remain in understanding their theoretical…

机器学习 · 统计学 2025-12-23 Sobihan Surendran , Antoine Godichon-Baggioni , Sylvain Le Corff

Variational Autoencoders (VAEs) have gained significant popularity among researchers as a powerful tool for understanding unknown distributions based on limited samples. This popularity stems partly from their impressive performance and…

机器学习 · 计算机科学 2024-02-27 Saptarshi Chakraborty , Peter L. Bartlett

In Bayesian machine learning, the posterior distribution is typically computationally intractable, hence variational inference is often required. In this approach, an evidence lower bound on the log likelihood of data is maximized during…

机器学习 · 计算机科学 2019-07-23 Stephen Odaibo

Variational Autoencoders (VAEs) have been a pioneering force in the realm of deep generative models. Amongst its legions of progenies, Wasserstein Autoencoders (WAEs) stand out in particular due to the dual offering of heightened generative…

机器学习 · 统计学 2023-12-12 Anish Chakrabarty , Arkaprabha Basu , Swagatam Das

Variational autoencoders (VAE) represent a popular, flexible form of deep generative model that can be stochastically fit to samples from a given random process using an information-theoretic variational bound on the true underlying…

机器学习 · 计算机科学 2019-10-08 Bin Dai , Yu Wang , John Aston , Gang Hua , David Wipf

We extend PAC-Bayesian theory to generative models and develop generalization bounds for models based on the Wasserstein distance and the total variation distance. Our first result on the Wasserstein distance assumes the instance space is…

机器学习 · 计算机科学 2023-11-15 Sokhna Diarra Mbacke , Florence Clerc , Pascal Germain

In just three years, Variational Autoencoders (VAEs) have emerged as one of the most popular approaches to unsupervised learning of complicated distributions. VAEs are appealing because they are built on top of standard function…

机器学习 · 统计学 2021-01-05 Carl Doersch

Variational autoencoders (VAEs) are one class of generative probabilistic latent-variable models designed for inference based on known data. We develop three variations on VAEs by introducing a second parameterized encoder/decoder pair and,…

机器学习 · 计算机科学 2023-04-06 R. I. Cukier

Variational Autoencoders (VAEs) are well-established as a principled approach to probabilistic unsupervised learning with neural networks. Typically, an encoder network defines the parameters of a Gaussian distributed latent space from…

机器学习 · 计算机科学 2025-05-16 Alan Jeffares , Liyuan Liu

The Probably Approximately Correct (PAC) Bayes framework (McAllester, 1999) can incorporate knowledge about the learning algorithm and (data) distribution through the use of distribution-dependent priors, yielding tighter generalization…

机器学习 · 计算机科学 2019-04-22 Gintare Karolina Dziugaite , Daniel M. Roy

Empirically, the PAC-Bayesian analysis is known to produce tight risk bounds for practical machine learning algorithms. However, in its naive form, it can only deal with stochastic predictors while such predictors are rarely used and…

机器学习 · 统计学 2019-11-22 Kohei Miyaguchi

In this paper, we consider variational autoencoders (VAE) for general state space models. We consider a backward factorization of the variational distributions to analyze the excess risk associated with VAE. Such backward factorizations…

统计方法学 · 统计学 2023-12-18 Élisabeth Gassiat , Sylvain Le Corff

Variational autoencoder (VAE) is a very successful generative model whose key element is the so called amortized inference network, which can perform test time inference using a single feed forward pass. Unfortunately, this comes at the…

机器学习 · 计算机科学 2021-02-08 Minyoung Kim , Vladimir Pavlovic

Variational Auto-encoders (VAEs) have been very successful as methods for forming compressed latent representations of complex, often high-dimensional, data. In this paper, we derive an alternative variational lower bound from the one…

机器学习 · 计算机科学 2019-03-20 Shuyu Lin , Ronald Clark , Robert Birke , Niki Trigoni , Stephen Roberts

In recent years, the field of machine learning has made phenomenal progress in the pursuit of simulating real-world data generation processes. One notable example of such success is the variational autoencoder (VAE). In this work, with a…

机器学习 · 统计学 2021-12-30 Hwan Goh , Sheroze Sheriffdeen , Jonathan Wittmer , Tan Bui-Thanh

This tutorial focuses on the fundamental architectures of Variational Autoencoders (VAE) and Generative Adversarial Networks (GAN), disregarding their numerous variations, to highlight their core principles. Both VAE and GAN utilize simple…

机器学习 · 计算机科学 2025-03-05 Yuan-Hao Wei

We propose the Wasserstein Auto-Encoder (WAE)---a new algorithm for building a generative model of the data distribution. WAE minimizes a penalized form of the Wasserstein distance between the model distribution and the target distribution,…

机器学习 · 统计学 2019-12-06 Ilya Tolstikhin , Olivier Bousquet , Sylvain Gelly , Bernhard Schoelkopf

We propose a framework for the statistical evaluation of variational auto-encoders (VAEs) and test two instances of this framework in the context of modelling images of handwritten digits and a corpus of English text. Our take on evaluation…

机器学习 · 计算机科学 2022-04-08 Claartje Barkhof , Wilker Aziz
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