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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

Variational autoencoders (VAE) are a powerful and widely-used class of models to learn complex data distributions in an unsupervised fashion. One important limitation of VAEs is the prior assumption that latent sample representations are…

Machine Learning · Computer Science 2018-11-27 Francesco Paolo Casale , Adrian V Dalca , Luca Saglietti , Jennifer Listgarten , Nicolo Fusi

Many applications, such as text modelling, high-throughput sequencing, and recommender systems, require analysing sparse, high-dimensional, and overdispersed discrete (count-valued or binary) data. Although probabilistic matrix…

Machine Learning · Computer Science 2019-05-27 He Zhao , Piyush Rai , Lan Du , Wray Buntine , Mingyuan Zhou

Finding an interpretable non-redundant representation of real-world data is one of the key problems in Machine Learning. Biological neural networks are known to solve this problem quite well in unsupervised manner, yet unsupervised…

Machine Learning · Computer Science 2020-10-13 Denis Kuzminykh , Laida Kushnareva , Timofey Grigoryev , Alexander Zatolokin

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

Although variational autoencoders (VAE) are successfully used to obtain meaningful low-dimensional representations for high-dimensional data, the characterization of critical points of the loss function for general observation models is not…

Machine Learning · Computer Science 2021-10-12 Robert Sicks , Ralf Korn , Stefanie Schwaar

Inference for Variational Autoencoders (VAEs) consists of learning two models: (1) a generative model, which transforms a simple distribution over a latent space into the distribution over observed data, and (2) an inference model, which…

Machine Learning · Statistics 2024-06-14 Yaniv Yacoby , Weiwei Pan , Finale Doshi-Velez

By composing graphical models with deep learning architectures, we learn generative models with the strengths of both frameworks. The structured variational autoencoder (SVAE) inherits structure and interpretability from graphical models,…

Machine Learning · Computer Science 2023-11-15 Harry Bendekgey , Gabriel Hope , Erik B. Sudderth

Variational autoencoders (VAEs) are a powerful class of deep generative latent variable model for unsupervised representation learning on high-dimensional data. To ensure computational tractability, VAEs are often implemented with a…

Machine Learning · Computer Science 2020-06-09 Alex Campbell , Pietro Liò

Often the analysis of time-dependent chemical and biophysical systems produces high-dimensional time-series data for which it can be difficult to interpret which individual features are most salient. While recent work from our group and…

Inverse problems aim to determine model parameters of a mathematical problem from given observational data. Neural networks can provide an efficient tool to solve these problems. In the context of Bayesian inverse problems, Uncertainty…

Numerical Analysis · Mathematics 2025-09-16 Andrea Tonini , Tan Bui-Thanh , Francesco Regazzoni , Luca Dede' , Alfio Quarteroni

The problem of estimating event truths from conflicting agent opinions in a social network is investigated. An autoencoder learns the complex relationships between event truths, agent reliabilities and agent observations. A Bayesian network…

Machine Learning · Computer Science 2021-01-26 Jielong Yang , Wee Peng Tay

Unsupervised learning can leverage large-scale data sources without the need for annotations. In this context, deep learning-based autoencoders have shown great potential in detecting anomalies in medical images. However, especially…

Image and Video Processing · Electrical Eng. & Systems 2020-01-03 David Zimmerer , Simon Kohl , Jens Petersen , Fabian Isensee , Klaus Maier-Hein

Variational Autoencoder (VAE) and its variations are classic generative models by learning a low-dimensional latent representation to satisfy some prior distribution (e.g., Gaussian distribution). Their advantages over GAN are that they can…

Computer Vision and Pattern Recognition · Computer Science 2020-09-24 Cong Geng , Jia Wang , Li Chen , Zhiyong Gao

Despite its wide use and empirical successes, the theoretical understanding and study of the behaviour and performance of the variational autoencoder (VAE) have only emerged in the past few years. We contribute to this recent line of work…

Machine Learning · Computer Science 2022-02-24 Badr-Eddine Chérief-Abdellatif , Yuyang Shi , Arnaud Doucet , Benjamin Guedj

As attention to recorded data grows in the realm of automotive testing and manual evaluation reaches its limits, there is a growing need for automatic online anomaly detection. This real-world data is complex in many ways and requires the…

Machine Learning · Computer Science 2025-11-13 Lucas Correia , Jan-Christoph Goos , Philipp Klein , Thomas Bäck , Anna V. Kononova

Syntactic information contains structures and rules about how text sentences are arranged. Incorporating syntax into text modeling methods can potentially benefit both representation learning and generation. Variational autoencoders (VAEs)…

Computation and Language · Computer Science 2019-08-28 Yijun Xiao , William Yang Wang

The variational auto-encoder (VAE) is a deep latent variable model that has two neural networks in an autoencoder-like architecture; one of them parameterizes the model's likelihood. Fitting its parameters via maximum likelihood (ML) is…

Machine Learning · Computer Science 2021-06-03 Francisco J. R. Ruiz , Michalis K. Titsias , Taylan Cemgil , Arnaud Doucet

Human perception is inherently multimodal. We integrate, for instance, visual, proprioceptive and tactile information into one experience. Hence, multimodal learning is of importance for building robotic systems that aim at robustly…

Machine Learning · Computer Science 2024-11-04 Carlotta Langer , Yasmin Kim Georgie , Ilja Porohovoj , Verena Vanessa Hafner , Nihat Ay

Cross-modal representation learning allows to integrate information from different modalities into one representation. At the same time, research on generative models tends to focus on the visual domain with less emphasis on other domains,…

Multimedia · Computer Science 2022-08-16 Maciej Żelaszczyk , Jacek Mańdziuk