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Variational autoencoders (VAE) often use Gaussian or category distribution to model the inference process. This puts a limit on variational learning because this simplified assumption does not match the true posterior distribution, which is…

Machine Learning · Computer Science 2017-02-28 Ke Sun , Xiangliang Zhang

We develop Riemannian approaches to variational autoencoders (VAEs) for PDE-type ambient data with regularizing geometric latent dynamics, which we refer to as VAE-DLM, or VAEs with dynamical latent manifolds. We redevelop the VAE framework…

Machine Learning · Computer Science 2026-01-21 Andrew Gracyk

The Gaussianity assumption has been consistently criticized as a main limitation of the Variational Autoencoder (VAE) despite its efficiency in computational modeling. In this paper, we propose a new approach that expands the model capacity…

Machine Learning · Statistics 2023-10-30 Seunghwan An , Jong-June Jeon

The vector quantization is a widely used method to map continuous representation to discrete space and has important application in tokenization for generative mode, bottlenecking information and many other tasks in machine learning. Vector…

Machine Learning · Computer Science 2024-10-15 Mingyuan Yan , Jiawei Wu , Rushi Shah , Dianbo Liu

Variational Autoencoders (VAE) are popular generative models used to sample from complex data distributions. Despite their empirical success in various machine learning tasks, significant gaps remain in understanding their theoretical…

Machine Learning · Statistics 2025-12-23 Sobihan Surendran , Antoine Godichon-Baggioni , Sylvain Le Corff

Variational Autoencoders (VAEs) are a powerful framework for learning latent representations of reduced dimensionality, while Neural ODEs excel in learning transient system dynamics. This work combines the strengths of both to generate fast…

Machine Learning · Computer Science 2025-02-27 Julius Aka , Johannes Brunnemann , Jörg Eiden , Arne Speerforck , Lars Mikelsons

As in many fields of medical research, survival analysis has witnessed a growing interest in the application of deep learning techniques to model complex, high-dimensional, heterogeneous, incomplete, and censored medical data. Current…

Machine Learning · Computer Science 2023-12-25 Patricia A. Apellániz , Juan Parras , Santiago Zazo

This work presents an analysis of the hidden representations of Variational Autoencoders (VAEs) using the Intrinsic Dimension (ID) and the Information Imbalance (II). We show that VAEs undergo a transition in behaviour once the bottleneck…

Machine Learning · Computer Science 2024-11-05 Charles Camboulin , Diego Doimo , Aldo Glielmo

VAEs, or variational autoencoders, are autoencoders that explicitly learn the distribution of the input image space rather than assuming no prior information about the distribution. This allows it to classify similar samples close to each…

Machine Learning · Computer Science 2023-02-08 Fareed Sheriff , Sameer Pai

As deep Variational Auto-Encoder (VAE) frameworks become more widely used for modeling biomolecular simulation data, we emphasize the capability of the VAE architecture to concurrently maximize the timescale of the latent space while…

Chemical Physics · Physics 2021-12-08 Hannah K. Wayment-Steele , Vijay S. Pande

We present Ordinary Differential Equation Variational Auto-Encoder (ODE$^2$VAE), a latent second order ODE model for high-dimensional sequential data. Leveraging the advances in deep generative models, ODE$^2$VAE can simultaneously learn…

Machine Learning · Statistics 2019-10-25 Çağatay Yıldız , Markus Heinonen , Harri Lähdesmäki

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,…

Machine Learning · Computer Science 2023-08-21 Harrison Zhu , Carles Balsells Rodas , Yingzhen Li

Variational autoencoder (VAE) has widely been utilized for modeling data distributions because it is theoretically elegant, easy to train, and has nice manifold representations. However, when applied to image reconstruction and synthesis…

Computer Vision and Pattern Recognition · Computer Science 2022-07-12 Dooseop Choi , KyoungWook Min

Variational Autoencoder (VAE) is a powerful method for learning representations of high-dimensional data. However, VAEs can suffer from an issue known as latent variable collapse (or KL loss vanishing), where the posterior collapses to the…

Computation and Language · Computer Science 2019-11-14 Ruizhe Li , Xiao Li , Chenghua Lin , Matthew Collinson , Rui Mao

An ability to model a generative process and learn a latent representation for speech in an unsupervised fashion will be crucial to process vast quantities of unlabelled speech data. Recently, deep probabilistic generative models such as…

Computation and Language · Computer Science 2017-09-25 Wei-Ning Hsu , Yu Zhang , James Glass

Conventional variational autoencoders fail in modeling correlations between data points due to their use of factorized priors. Amortized Gaussian process inference through GP-VAEs has led to significant improvements in this regard, but is…

Machine Learning · Statistics 2021-02-25 Metod Jazbec , Matthew Ashman , Vincent Fortuin , Michael Pearce , Stephan Mandt , Gunnar Rätsch

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

Variational autoencoders were proven successful in domains such as computer vision and speech processing. Their adoption for modeling user preferences is still unexplored, although recently it is starting to gain attention in the current…

Machine Learning · Computer Science 2018-11-27 Noveen Sachdeva , Giuseppe Manco , Ettore Ritacco , Vikram Pudi

Variational Autoencoders (VAEs) constitute a crucial component of neural symbolic music generation, among which some works have yielded outstanding results and attracted considerable attention. Nevertheless, previous VAEs still encounter…

Sound · Computer Science 2024-01-17 Zhiwei Lin , Jun Chen , Boshi Tang , Binzhu Sha , Jing Yang , Yaolong Ju , Fan Fan , Shiyin Kang , Zhiyong Wu , Helen Meng

We consider the problem of learning Variational Autoencoders (VAEs), i.e., a type of deep generative model, from data with missing values. Such data is omnipresent in real-world applications of machine learning because complete data is…

Machine Learning · Computer Science 2023-10-26 Timur Sudak , Sebastian Tschiatschek