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Variational Autoencoder (VAE) and its variations are classic generative models by learning a low-dimensional latent representation to satisfy some prior distribution (e.g., Gaussian distribution). Their advantages over GAN are that they can…

计算机视觉与模式识别 · 计算机科学 2020-09-24 Cong Geng , Jia Wang , Li Chen , Zhiyong Gao

We investigate the phenomenon of posterior collapse in variational autoencoders (VAEs) from the perspective of statistical physics, and reveal that it constitutes a phase transition governed jointly by data structure and model…

机器学习 · 计算机科学 2025-12-25 Zhen Li , Fan Zhang , Zheng Zhang , Yu Chen

In deep latent Gaussian models, the latent variable is generated by a time-inhomogeneous Markov chain, where at each time step we pass the current state through a parametric nonlinear map, such as a feedforward neural net, and add a small…

机器学习 · 计算机科学 2019-10-29 Belinda Tzen , Maxim Raginsky

Variational encoder-decoders (VEDs) have shown promising results in dialogue generation. However, the latent variable distributions are usually approximated by a much simpler model than the powerful RNN structure used for encoding and…

计算与语言 · 计算机科学 2018-02-07 Xiaoyu Shen , Hui Su , Shuzi Niu , Vera Demberg

The Variational Autoencoder (VAE) is a powerful framework for learning probabilistic latent variable generative models. However, typical assumptions on the approximate posterior distribution of the encoder and/or the prior, seriously…

机器学习 · 计算机科学 2020-07-13 Ifigeneia Apostolopoulou , Elan Rosenfeld , Artur Dubrawski

Recent research has shown a strong theoretical connection between variational autoencoders (VAEs) and the rate-distortion theory. Motivated by this, we consider the problem of lossy image compression from the perspective of generative…

图像与视频处理 · 电气工程与系统科学 2023-03-28 Zhihao Duan , Ming Lu , Zhan Ma , Fengqing Zhu

The posterior collapse phenomenon in variational autoencoder (VAE), where the variational posterior distribution closely matches the prior distribution, can hinder the quality of the learned latent variables. As a consequence of posterior…

机器学习 · 统计学 2024-05-14 Hien Dang , Tho Tran , Tan Nguyen , Nhat Ho

The generative autoencoders, such as the variational autoencoders or the adversarial autoencoders, have achieved great success in lots of real-world applications, including image generation, and signal communication. However, little concern…

机器学习 · 计算机科学 2023-07-06 Mingfei Lu , Badong Chen

Variational autoencoders (VAEs) are a popular generative model used to approximate distributions. The encoder part of the VAE is used in amortized learning of latent variables, producing a latent representation for data samples. Recently,…

机器学习 · 统计学 2023-05-12 Daniel G. Edelberg , Roy R. Lederman

A new form of variational autoencoder (VAE) is developed, in which the joint distribution of data and codes is considered in two (symmetric) forms: ($i$) from observed data fed through the encoder to yield codes, and ($ii$) from latent…

机器学习 · 计算机科学 2017-11-21 Yunchen Pu , Weiyao Wang , Ricardo Henao , Liqun Chen , Zhe Gan , Chunyuan Li , Lawrence Carin

We investigate a variant of variational autoencoders where there is a superstructure of discrete latent variables on top of the latent features. In general, our superstructure is a tree structure of multiple super latent variables and it is…

机器学习 · 计算机科学 2019-02-25 Xiaopeng Li , Zhourong Chen , Leonard K. M. Poon , Nevin L. Zhang

Variational autoencoders (VAEs) hold great potential for modelling text, as they could in theory separate high-level semantic and syntactic properties from local regularities of natural language. Practically, however, VAEs with…

机器学习 · 计算机科学 2020-11-11 Teng Long , Yanshuai Cao , Jackie Chi Kit Cheung

Variational auto-encoders (VAEs) have proven to be a well suited tool for performing dimensionality reduction by extracting latent variables lying in a potentially much smaller dimensional space than the data. Their ability to capture…

机器学习 · 统计学 2020-10-23 Clément Chadebec , Clément Mantoux , Stéphanie Allassonnière

Variational autoencoders (VAEs) have received much attention recently as an end-to-end architecture for text generation with latent variables. In this paper, we investigate several multi-level structures to learn a VAE model to generate…

计算与语言 · 计算机科学 2019-06-21 Dinghan Shen , Asli Celikyilmaz , Yizhe Zhang , Liqun Chen , Xin Wang , Jianfeng Gao , Lawrence Carin

We propose a family of novel hierarchical Bayesian deep auto-encoder models capable of identifying disentangled factors of variability in data. While many recent attempts at factor disentanglement have focused on sophisticated learning…

机器学习 · 计算机科学 2019-09-10 Minyoung Kim , Yuting Wang , Pritish Sahu , Vladimir Pavlovic

The Variational Autoencoder (VAE) has proven to be an effective model for producing semantically meaningful latent representations for natural data. However, it has thus far seen limited application to sequential data, and, as we…

机器学习 · 计算机科学 2019-11-12 Adam Roberts , Jesse Engel , Colin Raffel , Curtis Hawthorne , Douglas Eck

We introduce a novel, geometry-aware distance metric for the family of von Mises-Fisher (vMF) distributions, which are fundamental models for directional data on the unit hypersphere. Although the vMF distribution is widely employed in a…

机器学习 · 统计学 2025-04-22 Kisung You , Dennis Shung , Mauro Giuffrè

In this work we study Variational Autoencoders (VAEs) from the perspective of harmonic analysis. By viewing a VAE's latent space as a Gaussian Space, a variety of measure space, we derive a series of results that show that the encoder…

机器学习 · 统计学 2022-04-26 Alexander Camuto , Matthew Willetts

Neural Networks play a growing role in many science disciplines, including physics. Variational Autoencoders (VAEs) are neural networks that are able to represent the essential information of a high dimensional data set in a low dimensional…

机器学习 · 统计学 2021-12-08 Johannes Zacherl , Philipp Frank , Torsten A. Enßlin

Kullback-Leibler (KL) divergence is a fundamental concept in information theory that quantifies the discrepancy between two probability distributions. In the context of Variational Autoencoders (VAEs), it serves as a central regularization…

机器学习 · 计算机科学 2026-04-14 Andrés Muñoz , Rodrigo Ramele