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Variational autoencoders (VAEs) have been used extensively to discover low-dimensional latent factors governing neural activity and animal behavior. However, without careful model selection, the uncovered latent factors may reflect noise in…

Machine Learning · Computer Science 2023-12-13 Julia Huiming Wang , Dexter Tsin , Tatiana Engel

Ordinary differential equation (ODE)-based diffusion models enable deterministic image synthesis, establishing a reversible mapping suitable for generative steganography. While prevailing methods strictly adhere to a standard normal prior,…

Cryptography and Security · Computer Science 2025-12-16 Yuhua Xu , Wei Sun , Chengpei Tang , Jiaxing Lu , Jingying Zhou , Chen Gu

Given the notably increasing complexity of mathematical models to study realistic systems and their coupling to their environment that constrains their dynamics, both analytical approaches and numerical methods that build on these models,…

Quantum Physics · Physics 2019-11-11 I. Luchnikov , A. Ryzhov , P. -J. C. Stas , S. N. Filippov , H. Ouerdane

Variational autoencoders (VAEs) are a standard framework for inducing latent variable models that have been shown effective in learning text representations as well as in text generation. The key challenge with using VAEs is the {\it…

Machine Learning · Computer Science 2020-05-01 Serhii Havrylov , Ivan Titov

The manifold hypothesis states that high-dimensional data can be modeled as lying on or near a low-dimensional, nonlinear manifold. Variational Autoencoders (VAEs) approximate this manifold by learning mappings from low-dimensional latent…

Machine Learning · Statistics 2021-03-03 Marissa C. Connor , Gregory H. Canal , Christopher J. Rozell

We propose a new generative model, Cramer-Wold Autoencoder (CWAE). Following WAE, we directly encourage normality of the latent space. Our paper uses also the recent idea from Sliced WAE (SWAE) model, which uses one-dimensional projections…

Machine Learning · Computer Science 2020-09-21 Szymon Knop , Jacek Tabor , Przemysław Spurek , Igor Podolak , Marcin Mazur , Stanisław Jastrzębski

Neural Networks play a growing role in many science disciplines, including physics. Variational Autoencoders (VAEs) are neural networks that are able to represent the essential information of a high dimensional data set in a low dimensional…

Machine Learning · Statistics 2021-12-08 Johannes Zacherl , Philipp Frank , Torsten A. Enßlin

Distributed learning and Edge AI necessitate efficient data processing, low-latency communication, decentralized model training, and stringent data privacy to facilitate real-time intelligence on edge devices while reducing dependency on…

Machine Learning · Computer Science 2025-07-08 Lucas Heublein , Simon Kocher , Tobias Feigl , Alexander Rügamer , Christopher Mutschler , Felix Ott

Conventional prior for Variational Auto-Encoder (VAE) is a Gaussian distribution. Recent works demonstrated that choice of prior distribution affects learning capacity of VAE models. We propose a general technique…

Machine Learning · Computer Science 2018-12-10 Eugene Golikov , Maksim Kretov

Gaussian Process (GP) Variational Autoencoders (VAEs) extend standard VAEs by replacing the fully factorised Gaussian prior with a GP prior, thereby capturing richer correlations among latent variables. However, performing exact GP…

Machine Learning · Computer Science 2025-08-18 Xinxing Shi , Xiaoyu Jiang , Mauricio A. Álvarez

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…

Machine Learning · Statistics 2016-11-17 Siddharth Agrawal , Ambedkar Dukkipati

VAE requires the standard Gaussian distribution as a prior in the latent space. Since all codes tend to follow the same prior, it often suffers the so-called "posterior collapse". To avoid this, this paper introduces the class specific…

Computer Vision and Pattern Recognition · Computer Science 2019-03-18 Zhilin Zheng , Li Sun

Hyperbolic space is increasingly used for hierarchical, tree-like, and network-structured data, but likelihood-based density modeling on hyperbolic space remains relatively limited. This paper develops finite mixture modeling with isotropic…

Methodology · Statistics 2026-04-29 Kisung You

Data augmentation effectively addresses the imbalanced-small sample data (ISSD) problem in hyperspectral image classification (HSIC). While most methodologies extend features in the latent space, few leverage text-driven generation to…

Computer Vision and Pattern Recognition · Computer Science 2025-12-30 Yimin Zhu , Lincoln Linlin Xu

To address the challenges in learning deep generative models (e.g.,the blurriness of variational auto-encoder and the instability of training generative adversarial networks, we propose a novel deep generative model, named…

Machine Learning · Computer Science 2019-02-26 Shunkang Zhang , Yuan Gao , Yuling Jiao , Jin Liu , Yang Wang , Can Yang

Probabilistic modelling has been an essential tool in medical image analysis, especially for analyzing brain Magnetic Resonance Images (MRI). Recent deep learning techniques for estimating high-dimensional distributions, in particular…

Image and Video Processing · Electrical Eng. & Systems 2020-07-10 Anna Volokitin , Ertunc Erdil , Neerav Karani , Kerem Can Tezcan , Xiaoran Chen , Luc Van Gool , Ender Konukoglu

Graph structured data are abundant in the real world. Among different graph types, directed acyclic graphs (DAGs) are of particular interest to machine learning researchers, as many machine learning models are realized as computations on…

Machine Learning · Computer Science 2019-10-30 Muhan Zhang , Shali Jiang , Zhicheng Cui , Roman Garnett , Yixin Chen

Boltzmann machines are powerful distributions that have been shown to be an effective prior over binary latent variables in variational autoencoders (VAEs). However, previous methods for training discrete VAEs have used the evidence lower…

Machine Learning · Statistics 2018-10-17 Arash Vahdat , Evgeny Andriyash , William G. Macready

Variational Autoencoders (VAEs) have experienced recent success as data-generating models by using simple architectures that do not require significant fine-tuning of hyperparameters. However, VAEs are known to suffer from…

Machine Learning · Statistics 2020-07-22 Wei Cheng , Gregory Darnell , Sohini Ramachandran , Lorin Crawford

With the increasingly widespread deployment of generative models, there is a mounting need for a deeper understanding of their behaviors and limitations. In this paper, we expose the limitations of Variational Autoencoders (VAEs), which…

Machine Learning · Statistics 2019-06-12 Mihaela Rosca , Balaji Lakshminarayanan , Shakir Mohamed