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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…

Machine Learning · Computer Science 2017-11-21 Yunchen Pu , Weiyao Wang , Ricardo Henao , Liqun Chen , Zhe Gan , Chunyuan Li , Lawrence Carin

In many data analysis tasks, it is beneficial to learn representations where each dimension is statistically independent and thus disentangled from the others. If data generating factors are also statistically independent, disentangled…

Machine Learning · Statistics 2019-12-12 Harshvardhan Sikka , Weishun Zhong , Jun Yin , Cengiz Pehlevan

Variational Auto-Encoder (VAE) has been widely applied as a fundamental generative model in machine learning. For complex samples like imagery objects or scenes, however, VAE suffers from the dimensional dilemma between reconstruction…

Machine Learning · Computer Science 2020-02-18 Deli Zhao , Jiapeng Zhu , Bo Zhang

The framework of variational autoencoders (VAEs) provides a principled method for jointly learning latent-variable models and corresponding inference models. However, the main drawback of this approach is the blurriness of the generated…

Machine Learning · Computer Science 2020-07-01 Ioannis Gatopoulos , Maarten Stol , Jakub M. Tomczak

Anomaly detection is a classical but worthwhile problem, and many deep learning-based anomaly detection algorithms have been proposed, which can usually achieve better detection results than traditional methods. In view of reconstruct…

Machine Learning · Computer Science 2020-04-16 Chunkai Zhang , Shaocong Li , Hongye Zhang , Yingyang Chen

Variational Autoencoders (VAEs) are expressive latent variable models that can be used to learn complex probability distributions from training data. However, the quality of the resulting model crucially relies on the expressiveness of the…

Machine Learning · Computer Science 2018-06-12 Lars Mescheder , Sebastian Nowozin , Andreas Geiger

Variational Autoencoders (VAEs) were originally motivated (Kingma & Welling, 2014) as probabilistic generative models in which one performs approximate Bayesian inference. The proposal of $\beta$-VAEs (Higgins et al., 2017) breaks this…

Machine Learning · Statistics 2023-02-10 Tim Z. Xiao , Robert Bamler

Variational Autoencoders (VAEs) provide a theoretically-backed and popular framework for deep generative models. However, learning a VAE from data poses still unanswered theoretical questions and considerable practical challenges. In this…

Machine Learning · Computer Science 2020-06-01 Partha Ghosh , Mehdi S. M. Sajjadi , Antonio Vergari , Michael Black , Bernhard Schölkopf

The Variational Autoencoder (VAE) is a popular and powerful model applied to text modelling to generate diverse sentences. However, an issue known as posterior collapse (or KL loss vanishing) happens when the VAE is used in text modelling,…

Computation and Language · Computer Science 2020-11-04 Ruizhe Li , Xiao Li , Guanyi Chen , Chenghua Lin

Despite their ubiquity, variational autoencoders (VAEs) inherently suffer from posterior collapse, a failure mode in which latent variables are effectively ignored. This failure arises because explicit prior imposition drives optimization…

Machine Learning · Computer Science 2026-05-18 Hazhir Aliahmadi , Irina Babayan , Greg van Anders

Variational autoencoders (VAEs) rely on amortized variational inference to enable efficient posterior approximation, but this efficiency comes at the cost of a shared parametrization, giving rise to the amortization gap. We propose the…

Machine Learning · Computer Science 2026-04-21 Andrea Pollastro , Andrea Apicella , Francesco Isgrò , Roberto Prevete

Variational autoencoders (VAEs) are powerful deep generative models widely used to represent high-dimensional complex data through a low-dimensional latent space learned in an unsupervised manner. In the original VAE model, the input data…

Machine Learning · Computer Science 2022-07-05 Laurent Girin , Simon Leglaive , Xiaoyu Bie , Julien Diard , Thomas Hueber , Xavier Alameda-Pineda

The Variational Autoencoder (VAE) is a powerful deep generative model that is now extensively used to represent high-dimensional complex data via a low-dimensional latent space learned in an unsupervised manner. In the original VAE model,…

Sound · Computer Science 2021-06-15 Xiaoyu Bie , Laurent Girin , Simon Leglaive , Thomas Hueber , Xavier Alameda-Pineda

It has been previously observed that training Variational Recurrent Autoencoders (VRAE) for text generation suffers from serious uninformative latent variables problem. The model would collapse into a plain language model that totally…

Computation and Language · Computer Science 2019-11-20 Dayiheng Liu , Xu Yang , Feng He , Yuanyuan Chen , Jiancheng Lv

There have been many recent advances in representation learning; however, unsupervised representation learning can still struggle with model identification issues related to rotations of the latent space. Variational Auto-Encoders (VAEs)…

Machine Learning · Computer Science 2021-10-29 Travers Rhodes , Daniel D. Lee

Learning latent representations that are simultaneously expressive, geometrically well-structured, and reliably calibrated remains a central challenge for Variational Autoencoders (VAEs). Standard VAEs typically assume a diagonal Gaussian…

Machine Learning · Computer Science 2025-12-02 Mehmet Can Yavuz

Discrete latent bottlenecks in variational autoencoders (VAEs) offer high bit efficiency and can be modeled with autoregressive discrete distributions, enabling parameter-efficient multimodal search with transformers. However, discrete…

Machine Learning · Computer Science 2026-02-12 Michael Drolet , Firas Al-Hafez , Aditya Bhatt , Jan Peters , Oleg Arenz

Variational AutoEncoders (VAEs) are powerful generative models that merge elements from statistics and information theory with the flexibility offered by deep neural networks to efficiently solve the generation problem for high dimensional…

Machine Learning · Computer Science 2021-03-02 A. Asperti , D. Evangelista , E. Loli Piccolomini

Variational Autoencoder is a scalable method for learning latent variable models of complex data. It employs a clear objective that can be easily optimized. However, it does not explicitly measure the quality of learned representations. We…

Machine Learning · Computer Science 2020-05-29 Andriy Serdega , Dae-Shik Kim

We propose a new family of optimization criteria for variational auto-encoding models, generalizing the standard evidence lower bound. We provide conditions under which they recover the data distribution and learn latent features, and…

Machine Learning · Computer Science 2017-03-01 Shengjia Zhao , Jiaming Song , Stefano Ermon
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