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Variational autoencoders model high-dimensional data by positing low-dimensional latent variables that are mapped through a flexible distribution parametrized by a neural network. Unfortunately, variational autoencoders often suffer from…

机器学习 · 统计学 2023-01-03 Yixin Wang , David M. Blei , John P. Cunningham

The variational autoencoder (VAE) is a popular combination of deep latent variable model and accompanying variational learning technique. By using a neural inference network to approximate the model's posterior on latent variables, VAEs…

机器学习 · 计算机科学 2019-01-30 Junxian He , Daniel Spokoyny , Graham Neubig , Taylor Berg-Kirkpatrick

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

Variational autoencoders (VAEs), one of the most widely used generative models, are known to suffer from posterior collapse, a phenomenon that reduces the diversity of generated samples. To avoid posterior collapse, many prior works have…

机器学习 · 计算机科学 2025-08-19 Hyunsoo Song , Seungwhan Kim , Seungkyu Lee

Posterior collapse in Variational Autoencoders (VAEs) arises when the variational posterior distribution closely matches the prior for a subset of latent variables. This paper presents a simple and intuitive explanation for posterior…

机器学习 · 计算机科学 2019-11-07 James Lucas , George Tucker , Roger Grosse , Mohammad Norouzi

Advances in variational inference enable parameterisation of probabilistic models by deep neural networks. This combines the statistical transparency of the probabilistic modelling framework with the representational power of deep learning.…

计算与语言 · 计算机科学 2020-05-05 Tom Pelsmaeker , Wilker Aziz

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

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 autoencoders (VAEs) are one of the deep generative models that have experienced enormous success over the past decades. However, in practice, they suffer from a problem called posterior collapse, which occurs when the encoder…

机器学习 · 计算机科学 2024-02-06 Yuri Kinoshita , Kenta Oono , Kenji Fukumizu , Yuichi Yoshida , Shin-ichi Maeda

Variational autoencoders learn distributions of high-dimensional data. They model data with a deep latent-variable model and then fit the model by maximizing a lower bound of the log marginal likelihood. VAEs can capture complex…

机器学习 · 统计学 2019-02-01 Adji B. Dieng , Yoon Kim , Alexander M. Rush , David M. Blei

Variational autoencoders (VAEs) face a notorious problem wherein the variational posterior often aligns closely with the prior, a phenomenon known as posterior collapse, which hinders the quality of representation learning. To mitigate this…

机器学习 · 统计学 2023-10-25 Yuma Ichikawa , Koji Hukushima

This paper explores the connection between two recently identified phenomena in deep learning: plasticity loss and neural collapse. We analyze their correlation in different scenarios, revealing a significant association during the initial…

机器学习 · 计算机科学 2024-04-04 Guglielmo Bonifazi , Iason Chalas , Gian Hess , Jakub Łucki

Neural Collapse is a phenomenon that helps identify sparse and low rank structures in deep classifiers. Recent work has extended the definition of neural collapse to regression problems, albeit only measuring the phenomenon at the last…

机器学习 · 计算机科学 2026-03-26 Akshay Rangamani , Altay Unal

We show that posterior collapse in $\beta$-VAEs implements automatic spectral pruning. A latent mode collapses if its contribution to reconstruction is below the cutoff set by $\beta$. Equilibrium solutions with different $\beta$ thus…

机器学习 · 计算机科学 2026-05-22 Johannes Hirn

Variational language models seek to estimate the posterior of latent variables with an approximated variational posterior. The model often assumes the variational posterior to be factorized even when the true posterior is not. The learned…

计算与语言 · 计算机科学 2019-09-10 Prince Zizhuang Wang , William Yang Wang

Variational autoencoders (VAEs) suffer from posterior collapse, where the powerful neural networks used for modeling and inference optimize the objective without meaningfully using the latent representation. We introduce inference critics…

机器学习 · 计算机科学 2022-07-21 Sachit Menon , David Blei , Carl Vondrick

In narrow asymptotic settings Gaussian VAE models of continuous data have been shown to possess global optima aligned with ground-truth distributions. Even so, it is well known that poor solutions whereby the latent posterior collapses to…

机器学习 · 计算机科学 2019-12-24 Bin Dai , Ziyu Wang , David Wipf

In self-supervised representation learning, a common idea behind most of the state-of-the-art approaches is to enforce the robustness of the representations to predefined augmentations. A potential issue of this idea is the existence of…

机器学习 · 计算机科学 2021-08-26 Tianyu Hua , Wenxiao Wang , Zihui Xue , Sucheng Ren , Yue Wang , Hang Zhao

In variational autoencoders (VAEs), the variational posterior often collapses to the prior, known as posterior collapse, which leads to poor representation learning quality. An adjustable hyperparameter beta has been introduced in VAEs to…

机器学习 · 统计学 2025-07-22 Yuma Ichikawa , Koji Hukushima

Neural collapse provides an elegant mathematical characterization of learned last layer representations (a.k.a. features) and classifier weights in deep classification models. Such results not only provide insights but also motivate new…

机器学习 · 计算机科学 2023-10-30 Jiachen Jiang , Jinxin Zhou , Peng Wang , Qing Qu , Dustin Mixon , Chong You , Zhihui Zhu
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