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This paper presents an infinite variational autoencoder (VAE) whose capacity adapts to suit the input data. This is achieved using a mixture model where the mixing coefficients are modeled by a Dirichlet process, allowing us to integrate…

Machine Learning · Computer Science 2016-11-28 Ehsan Abbasnejad , Anthony Dick , Anton van den Hengel

Variational autoencoders (VAEs) are a popular class of deep generative models with many variants and a wide range of applications. Improvements upon the standard VAE mostly focus on the modelling of the posterior distribution over the…

Machine Learning · Computer Science 2022-11-02 James Langley , Miguel Monteiro , Charles Jones , Nick Pawlowski , Ben Glocker

We introduce an improved variational autoencoder (VAE) for text modeling with topic information explicitly modeled as a Dirichlet latent variable. By providing the proposed model topic awareness, it is more superior at reconstructing input…

Computation and Language · Computer Science 2018-11-02 Yijun Xiao , Tiancheng Zhao , William Yang Wang

Inference and inverse problems are closely related concepts, both fundamentally involving the deduction of unknown causes or parameters from observed data. Bayesian inference, a powerful class of methods, is often employed to solve a…

Machine Learning · Statistics 2024-09-17 Yuan-Hao Wei , Yan-Jie Sun , Chen Zhang

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

Optimal computations under uncertainty require an adequate probabilistic representation about beliefs. Deep generative models, and specifically Variational Autoencoders (VAEs), have the potential to meet this demand by building latent…

Learning a generative model of visual information with sparse and compositional features has been a challenge for both theoretical neuroscience and machine learning communities. Sparse coding models have achieved great success in explaining…

Machine Learning · Computer Science 2021-01-26 Linxing Preston Jiang , Luciano de la Iglesia

We view variational autoencoders (VAE) as decoder-encoder pairs, which map distributions in the data space to distributions in the latent space and vice versa. The standard learning approach for VAEs is the maximisation of the evidence…

Machine Learning · Computer Science 2024-03-13 Boris Flach , Dmitrij Schlesinger , Alexander Shekhovtsov

Variational autoencoder (VAE) is an established generative model but is notorious for its blurriness. In this work, we investigate the blurry output problem of VAE and resolve it, exploiting the variance of Gaussian decoder and $\beta$ of…

Machine Learning · Computer Science 2024-09-17 Seunghwan Kim , Seungkyu Lee

Variational autoencoders (VAEs) are a popular framework for modeling complex data distributions; they can be efficiently trained via variational inference by maximizing the evidence lower bound (ELBO), at the expense of a gap to the exact…

Learning disentangled causal representations is a challenging problem that has gained significant attention recently due to its implications for extracting meaningful information for downstream tasks. In this work, we define a new notion of…

Machine Learning · Computer Science 2024-08-27 Aneesh Komanduri , Yongkai Wu , Feng Chen , Xintao Wu

Representation learning seeks to expose certain aspects of observed data in a learned representation that's amenable to downstream tasks like classification. For instance, a good representation for 2D images might be one that describes only…

Machine Learning · Computer Science 2017-03-07 Xi Chen , Diederik P. Kingma , Tim Salimans , Yan Duan , Prafulla Dhariwal , John Schulman , Ilya Sutskever , Pieter Abbeel

Does a Variational AutoEncoder (VAE) consistently encode typical samples generated from its decoder? This paper shows that the perhaps surprising answer to this question is `No'; a (nominally trained) VAE does not necessarily amortize…

Machine Learning · Computer Science 2020-12-08 A. Taylan Cemgil , Sumedh Ghaisas , Krishnamurthy Dvijotham , Sven Gowal , Pushmeet Kohli

In this study, a novel self-supervised learning (SSL) method is proposed, which considers SSL in terms of variational inference to learn not only representation but also representation uncertainties. SSL is a method of learning…

Computer Vision and Pattern Recognition · Computer Science 2023-09-11 Hiroki Nakamura , Masashi Okada , Tadahiro Taniguchi

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

While unsupervised variational autoencoders (VAE) have become a powerful tool in neuroimage analysis, their application to supervised learning is under-explored. We aim to close this gap by proposing a unified probabilistic model for…

Machine Learning · Computer Science 2019-07-15 Qingyu Zhao , Ehsan Adeli , Nicolas Honnorat , Tuo Leng , Kilian M. Pohl

Dynamical variational autoencoders (DVAEs) are a class of deep generative models with latent variables, dedicated to model time series of high-dimensional data. DVAEs can be considered as extensions of the variational autoencoder (VAE) that…

Sound · Computer Science 2022-10-04 Xiaoyu Bie , Simon Leglaive , Xavier Alameda-Pineda , Laurent Girin

In this paper, we are interested in audio-visual speech separation given a single-channel audio recording as well as visual information (lips movements) associated with each speaker. We propose an unsupervised technique based on…

Audio and Speech Processing · Electrical Eng. & Systems 2021-09-01 Viet-Nhat Nguyen , Mostafa Sadeghi , Elisa Ricci , Xavier Alameda-Pineda

We present a new theoretical perspective of data noising in recurrent neural network language models (Xie et al., 2017). We show that each variant of data noising is an instance of Bayesian recurrent neural networks with a particular…

Computation and Language · Computer Science 2019-01-29 Lingpeng Kong , Gabor Melis , Wang Ling , Lei Yu , Dani Yogatama

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