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Inverse problems are prevalent in both scientific research and engineering applications. In the context of Bayesian inverse problems, sampling from the posterior distribution can be particularly challenging when the forward models are…

统计计算 · 统计学 2026-02-17 Zhihang Xu , Xiaoyu Zhu , Daoji Li , Qifeng Liao

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

Variational Autoencoders (VAEs) are powerful generative models that have been widely used in various fields, including image and text generation. However, one of the known challenges in using VAEs is the model's sensitivity to its…

机器学习 · 计算机科学 2024-12-31 Gabriela Sejnova , Michal Vavrecka , Karla Stepanova

Variational inference techniques based on inducing variables provide an elegant framework for scalable posterior estimation in Gaussian process (GP) models. Besides enabling scalability, one of their main advantages over sparse…

机器学习 · 统计学 2021-02-24 Simone Rossi , Markus Heinonen , Edwin V. Bonilla , Zheyang Shen , Maurizio Filippone

We investigate a fully Latent AutoRegressive scheme based on a Gaussian Process (GP) integrated into a Variational Autoencoder (VAE). In this setting, sequential dynamics are transferred from the observation space to a continuous latent…

机器学习 · 计算机科学 2025-12-16 Yves Ruffenach

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 autoencoders (VAEs) are widely used deep generative models capable of learning unsupervised latent representations of data. Such representations are often difficult to interpret or control. We consider the problem of…

机器学习 · 计算机科学 2018-12-18 Jack Klys , Jake Snell , Richard Zemel

Due to the phenomenon of "posterior collapse," current latent variable generative models pose a challenging design choice that either weakens the capacity of the decoder or requires augmenting the objective so it does not only maximize the…

机器学习 · 计算机科学 2019-01-14 Ali Razavi , Aäron van den Oord , Ben Poole , Oriol Vinyals

As a widely recognized approach to deep generative modeling, Variational Auto-Encoders (VAEs) still face challenges with the quality of generated images, often presenting noticeable blurriness. This issue stems from the unrealistic…

机器学习 · 计算机科学 2023-05-22 Georgios Batzolis , Jan Stanczuk , Carola-Bibiane Schönlieb

This paper introduces a new interpretation of the Variational Autoencoder framework by taking a fully geometric point of view. We argue that vanilla VAE models unveil naturally a Riemannian structure in their latent space and that taking…

机器学习 · 统计学 2022-11-04 Clément Chadebec , Stéphanie Allassonnière

We investigate the problem of training generative models on a very sparse collection of 3D models. We use geometrically motivated energies to augment and thus boost a sparse collection of example (training) models. We analyze the Hessian of…

计算机视觉与模式识别 · 计算机科学 2022-05-02 Sanjeev Muralikrishnan , Siddhartha Chaudhuri , Noam Aigerman , Vladimir Kim , Matthew Fisher , Niloy Mitra

Longitudinal datasets measured repeatedly over time from individual subjects, arise in many biomedical, psychological, social, and other studies. A common approach to analyse high-dimensional data that contains missing values is to learn a…

Recently there has been an increased interest in unsupervised learning of disentangled representations using the Variational Autoencoder (VAE) framework. Most of the existing work has focused largely on modifying the variational cost…

机器学习 · 统计学 2019-09-12 Jan Stühmer , Richard E. Turner , Sebastian Nowozin

Variational autoencoders (VAEs), that are built upon deep neural networks have emerged as popular generative models in computer vision. Most of the work towards improving variational autoencoders has focused mainly on making the…

机器学习 · 统计学 2016-11-17 Siddharth Agrawal , Ambedkar Dukkipati

Variational autoencoders often assume isotropic Gaussian priors and mean-field posteriors, hence do not exploit structure in scenarios where we may expect similarity or consistency across latent variables. Gaussian process variational…

机器学习 · 统计学 2020-11-17 Metod Jazbec , Michael Pearce , Vincent Fortuin

Sequential VAEs have been successfully considered for many high-dimensional time series modelling problems, with many variant models relying on discrete-time mechanisms such as recurrent neural networks (RNNs). On the other hand,…

机器学习 · 计算机科学 2023-08-21 Harrison Zhu , Carles Balsells Rodas , Yingzhen Li

Gaussian processes (GPs) are Bayesian nonparametric models for function approximation with principled predictive uncertainty estimates. Deep Gaussian processes (DGPs) are multilayer generalizations of GPs that can represent complex marginal…

机器学习 · 统计学 2024-09-20 Qiuxian Meng , Yongyou Zhang

Deep generative models are commonly used for generating images and text. Interpretability of these models is one important pursuit, other than the generation quality. Variational auto-encoder (VAE) with Gaussian distribution as prior has…

机器学习 · 计算机科学 2020-08-24 Wenxian Shi , Hao Zhou , Ning Miao , Lei Li

Variational Autoencoders (VAEs) are powerful generative models widely used for learning interpretable latent spaces, quantifying uncertainty, and compressing data for downstream generative tasks. VAEs typically rely on diagonal Gaussian…

机器学习 · 计算机科学 2025-06-03 Peter Sorrenson , Lukas Lührs , Hans Olischläger , Ullrich Köthe

Recent advances in generative AI offer promising solutions for synthetic data generation but often rely on large datasets for effective training. To address this limitation, we propose a novel generative model that learns from limited data…

机器学习 · 统计学 2025-05-27 Michail Spitieris , Massimiliano Ruocco , Abdulmajid Murad , Alessandro Nocente