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Approximating distributions over complicated manifolds, such as natural images, are conceptually attractive. The deep latent variable model, trained using variational autoencoders and generative adversarial networks, is now a key technique…

Computer Vision and Pattern Recognition · Computer Science 2019-10-08 Wenju Xu , Shawn Keshmiri , Guanghui Wang

Generative modeling aims to generate new data samples that resemble a given dataset, with diffusion models recently becoming the most popular generative model. One of the main challenges of diffusion models is solving the problem in the…

Numerical Analysis · Mathematics 2025-10-08 Wonjun Lee , Riley C. W. O'Neill , Dongmian Zou , Jeff Calder , Gilad Lerman

Variational autoencoders are prominent generative models for modeling discrete data. However, with flexible decoders, they tend to ignore the latent codes. In this paper, we study a VAE model with a deterministic decoder (DD-VAE) for…

Machine Learning · Computer Science 2020-03-05 Daniil Polykovskiy , Dmitry Vetrov

Classical methods for model order selection often fail in scenarios with low SNR or few snapshots. Deep learning-based methods are promising alternatives for such challenging situations as they compensate lack of information in the…

Signal Processing · Electrical Eng. & Systems 2023-12-07 Michael Baur , Franz Weißer , Benedikt Böck , Wolfgang Utschick

In this paper, we study two aspects of the variational autoencoder (VAE): the prior distribution over the latent variables and its corresponding posterior. First, we decompose the learning of VAEs into layerwise density estimation, and…

Machine Learning · Computer Science 2017-10-09 Chin-Wei Huang , Ahmed Touati , Laurent Dinh , Michal Drozdzal , Mohammad Havaei , Laurent Charlin , Aaron Courville

Deep hierarchical variational autoencoders (VAEs) are powerful latent variable generative models. In this paper, we introduce Hierarchical VAE with Diffusion-based Variational Mixture of the Posterior Prior (VampPrior). We apply…

Machine Learning · Computer Science 2024-12-03 Anna Kuzina , Jakub M. Tomczak

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

Group-equivariant neural networks have emerged as a data-efficient approach to solve classification and regression tasks, while respecting the relevant symmetries of the data. However, little work has been done to extend this paradigm to…

Machine Learning · Computer Science 2023-06-13 Gian Marco Visani , Michael N. Pun , Arman Angaji , Armita Nourmohammad

Variational Auto-Encoders (VAEs) are capable of learning latent representations for high dimensional data. However, due to the i.i.d. assumption, VAEs only optimize the singleton variational distributions and fail to account for the…

Machine Learning · Computer Science 2020-04-20 Da Tang , Dawen Liang , Tony Jebara , Nicholas Ruozzi

Is there really much more to say about sparse autoencoders (SAEs)? Autoencoders in general, and SAEs in particular, represent deep architectures that are capable of modeling low-dimensional latent structure in data. Such structure could…

Machine Learning · Computer Science 2025-06-09 Yin Lu , Xuening Zhu , Tong He , David Wipf

Purpose: Handling heterogeneous and mixed data types has become increasingly critical with the exponential growth in real-world databases. While deep generative models attempt to merge diverse data views into a common latent space, they…

Machine Learning · Computer Science 2024-10-23 Alejandro Guerrero-López , Carlos Sevilla-Salcedo , Vanessa Gómez-Verdejo , Pablo M. Olmos

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…

Machine Learning · Statistics 2022-04-26 Alexander Camuto , Matthew Willetts

Extracting large amounts of data from biological samples is not feasible due to radiation issues, and image processing in the small-data regime is one of the critical challenges when working with a limited amount of data. In this work, we…

Machine Learning · Computer Science 2020-07-21 Varun Mannam , Arman Kazemi

Semi-supervised learning is attracting increasing attention due to the fact that datasets of many domains lack enough labeled data. Variational Auto-Encoder (VAE), in particular, has demonstrated the benefits of semi-supervised learning.…

Machine Learning · Computer Science 2018-12-04 Yang Li , Quan Pan , Suhang Wang , Haiyun Peng , Tao Yang , Erik Cambria

The variational autoencoder (VAE) is a simple and efficient generative artificial intelligence method for modeling complex probability distributions of various types of data, such as images and texts. However, it suffers some main…

Machine Learning · Computer Science 2025-02-14 Xi Chen , Shaofan Li

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…

Machine Learning · Computer Science 2022-04-08 Claartje Barkhof , Wilker Aziz

Variational autoencoders~(VAEs) have shown a promise in data-driven conversation modeling. However, most VAE conversation models match the approximate posterior distribution over the latent variables to a simple prior such as standard…

Computation and Language · Computer Science 2019-02-27 Xiaodong Gu , Kyunghyun Cho , Jung-Woo Ha , Sunghun Kim

Variational Auto-Encoders (VAEs) have become very popular techniques to perform inference and learning in latent variable models as they allow us to leverage the rich representational power of neural networks to obtain flexible…

Machine Learning · Computer Science 2018-11-26 Anthony L. Caterini , Arnaud Doucet , Dino Sejdinovic

In recent years, studies on image generation models of spiking neural networks (SNNs) have gained the attention of many researchers. Variational autoencoders (VAEs), as one of the most popular image generation models, have attracted a lot…

Computer Vision and Pattern Recognition · Computer Science 2024-10-28 Qiugang Zhan , Ran Tao , Xiurui Xie , Guisong Liu , Malu Zhang , Huajin Tang , Yang Yang

We introduce the variational graph auto-encoder (VGAE), a framework for unsupervised learning on graph-structured data based on the variational auto-encoder (VAE). This model makes use of latent variables and is capable of learning…

Machine Learning · Statistics 2016-11-23 Thomas N. Kipf , Max Welling