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Denoising autoencoders (DAE) are trained to reconstruct their clean inputs with noise injected at the input level, while variational autoencoders (VAE) are trained with noise injected in their stochastic hidden layer, with a regularizer…

Machine Learning · Computer Science 2016-01-05 Daniel Jiwoong Im , Sungjin Ahn , Roland Memisevic , Yoshua Bengio

Variational autoencoders (VAEs) employ Bayesian inference to interpret sensory inputs, mirroring processes that occur in primate vision across both ventral (Higgins et al., 2021) and dorsal (Vafaii et al., 2023) pathways. Despite their…

Machine Learning · Computer Science 2024-12-10 Hadi Vafaii , Dekel Galor , Jacob L. Yates

Variational Autoencoders (VAEs) are expressive latent variable models that can be used to learn complex probability distributions from training data. However, the quality of the resulting model crucially relies on the expressiveness of the…

Machine Learning · Computer Science 2018-06-12 Lars Mescheder , Sebastian Nowozin , Andreas Geiger

Inference in discrete graphical models with variational methods is difficult because of the inability to re-parameterize gradients of the Evidence Lower Bound (ELBO). Many sampling-based methods have been proposed for estimating these…

Machine Learning · Computer Science 2020-10-23 Andy Shih , Stefano Ermon

We propose to utilize a variational autoencoder (VAE) for data-driven channel estimation. The underlying true and unknown channel distribution is modeled by the VAE as a conditional Gaussian distribution in a novel way, parameterized by the…

Signal Processing · Electrical Eng. & Systems 2023-04-07 Michael Baur , Benedikt Fesl , Michael Koller , Wolfgang Utschick

In this paper, we consider variational autoencoders (VAE) for general state space models. We consider a backward factorization of the variational distributions to analyze the excess risk associated with VAE. Such backward factorizations…

Methodology · Statistics 2023-12-18 Élisabeth Gassiat , Sylvain Le Corff

Variational autoencoders (VAEs) are a popular generative model used to approximate distributions. The encoder part of the VAE is used in amortized learning of latent variables, producing a latent representation for data samples. Recently,…

Machine Learning · Statistics 2023-05-12 Daniel G. Edelberg , Roy R. Lederman

A new approach for blind channel equalization and decoding, variational inference, and variational autoencoders (VAEs) in particular, is introduced. We first consider the reconstruction of uncoded data symbols transmitted over a noisy…

Machine Learning · Computer Science 2020-04-14 Avi Caciularu , David Burshtein

We develop a novel method for carrying out model selection for Bayesian autoencoders (BAEs) by means of prior hyper-parameter optimization. Inspired by the common practice of type-II maximum likelihood optimization and its equivalence to…

The Variational Auto-Encoder (VAE) is one of the most used unsupervised machine learning models. But although the default choice of a Gaussian distribution for both the prior and posterior represents a mathematically convenient distribution…

Machine Learning · Statistics 2022-09-28 Tim R. Davidson , Luca Falorsi , Nicola De Cao , Thomas Kipf , Jakub M. Tomczak

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

The posterior collapse phenomenon in variational autoencoder (VAE), where the variational posterior distribution closely matches the prior distribution, can hinder the quality of the learned latent variables. As a consequence of posterior…

Machine Learning · Statistics 2024-05-14 Hien Dang , Tho Tran , Tan Nguyen , Nhat Ho

In variational inference (VI), the marginal log-likelihood is estimated using the standard evidence lower bound (ELBO), or improved versions as the importance weighted ELBO (IWELBO). We propose the multiple importance sampling ELBO…

Machine Learning · Computer Science 2022-02-23 Oskar Kviman , Harald Melin , Hazal Koptagel , Víctor Elvira , Jens Lagergren

Amortised inference enables scalable learning of sequential latent-variable models (LVMs) with the evidence lower bound (ELBO). In this setting, variational posteriors are often only partially conditioned. While the true posteriors depend,…

Machine Learning · Computer Science 2021-03-18 Justin Bayer , Maximilian Soelch , Atanas Mirchev , Baris Kayalibay , Patrick van der Smagt

We introduce a method combining variational autoencoders (VAEs) and deep metric learning to perform Bayesian optimisation (BO) over high-dimensional and structured input spaces. By adapting ideas from deep metric learning, we use label…

Data assimilation refers to a set of algorithms designed to compute the optimal estimate of a system's state by refining the prior prediction (known as background states) using observed data. Variational assimilation methods rely on the…

Machine Learning · Computer Science 2024-05-24 Yi Xiao , Qilong Jia , Wei Xue , Lei Bai

The Variational Autoencoder (VAE) is a powerful architecture capable of representation learning and generative modeling. When it comes to learning interpretable (disentangled) representations, VAE and its variants show unparalleled…

Machine Learning · Computer Science 2019-04-17 Michal Rolinek , Dominik Zietlow , Georg Martius

Despite advances in deep probabilistic models, learning discrete latent representations remains challenging. This work introduces a novel method to improve inference in discrete Variational Autoencoders by reframing the inference problem…

Machine Learning · Computer Science 2025-06-11 María Martínez-García , Grace Villacrés , David Mitchell , Pablo M. Olmos

We present a new flavor of Variational Autoencoder (VAE) that interpolates seamlessly between unsupervised, semi-supervised and fully supervised learning domains. We show that unlabeled datapoints not only boost unsupervised tasks, but also…

Machine Learning · Computer Science 2019-11-15 Felix Berkhahn , Richard Keys , Wajih Ouertani , Nikhil Shetty , Dominik Geißler

Variational auto-encoders (VAEs) are an influential and generally-used class of likelihood-based generative models in unsupervised learning. The likelihood-based generative models have been reported to be highly robust to the…

Machine Learning · Computer Science 2020-10-06 Xuming Ran , Mingkun Xu , Qi Xu , Huihui Zhou , Quanying Liu