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Approximating distributions over complicated manifolds, such as natural images, are conceptually attractive. The deep latent variable model, trained using variational autoencoders and generative adversarial networks, is now a key technique…

Computer Vision and Pattern Recognition · Computer Science 2019-10-08 Wenju Xu , Shawn Keshmiri , Guanghui Wang

Leveraging the framework of Optimal Transport, we introduce a new family of generative autoencoders with a learnable prior, called Symmetric Wasserstein Autoencoders (SWAEs). We propose to symmetrically match the joint distributions of the…

Machine Learning · Computer Science 2021-06-25 Sun Sun , Hongyu Guo

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

We propose the Wasserstein Auto-Encoder (WAE)---a new algorithm for building a generative model of the data distribution. WAE minimizes a penalized form of the Wasserstein distance between the model distribution and the target distribution,…

Machine Learning · Statistics 2019-12-06 Ilya Tolstikhin , Olivier Bousquet , Sylvain Gelly , Bernhard Schoelkopf

Optimal transport offers an alternative to maximum likelihood for learning generative autoencoding models. We show that minimizing the p-Wasserstein distance between the generator and the true data distribution is equivalent to the…

Variational Autoencoder (VAE)-based generative models offer flexible representation learning by incorporating meta-priors, general premises considered beneficial for downstream tasks. However, the incorporated meta-priors often involve…

Machine Learning · Computer Science 2023-02-27 Nao Nakagawa , Ren Togo , Takahiro Ogawa , Miki Haseyama

Non-adversarial generative models such as variational auto-encoder (VAE), Wasserstein auto-encoders with maximum mean discrepancy (WAE-MMD), sliced-Wasserstein auto-encoder (SWAE) are relatively easy to train and have less mode collapse…

Machine Learning · Statistics 2021-03-05 Kuo Gai , Shihua Zhang

Generative autoencoders learn compact latent representations of data distributions through jointly optimized encoder--decoder pairs. In particular, Wasserstein autoencoders (WAEs) minimize a relaxed optimal transport (OT) objective, where…

Machine Learning · Computer Science 2026-03-25 Moritz Piening , Matthias Chung

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

The introduction of Variational Autoencoders (VAE) has been marked as a breakthrough in the history of representation learning models. Besides having several accolades of its own, VAE has successfully flagged off a series of inventions in…

Machine Learning · Statistics 2021-10-11 Anish Chakrabarty , Swagatam Das

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

Variational Autoencoders (VAEs) have gained significant popularity among researchers as a powerful tool for understanding unknown distributions based on limited samples. This popularity stems partly from their impressive performance and…

Machine Learning · Computer Science 2024-02-27 Saptarshi Chakraborty , Peter L. Bartlett

Generative AutoEncoders require a chosen probability distribution in latent space, usually multivariate Gaussian. The original Variational AutoEncoder (VAE) uses randomness in encoder - causing problematic distortion, and overlaps in latent…

Machine Learning · Computer Science 2019-01-15 Jarek Duda

Minimum expected distance estimation (MEDE) algorithms have been widely used for probabilistic models with intractable likelihood functions and they have become increasingly popular due to their use in implicit generative modeling (e.g.…

Machine Learning · Statistics 2020-03-25 Kimia Nadjahi , Alain Durmus , Umut Şimşekli , Roland Badeau

Recent state-of-the-art autoencoder based generative models have an encoder-decoder structure and learn a latent representation with a pre-defined distribution that can be sampled from. Implementing the encoder networks of these models in a…

Machine Learning · Computer Science 2020-05-11 D. T. Braithwaite , M. O'Connor , W. B. Kleijn

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…

Anomaly detection (AD) has been an active research area in various domains. Yet, the increasing data scale, complexity, and dimension turn the traditional methods into challenging. Recently, the deep generative model, such as the…

Computer Vision and Pattern Recognition · Computer Science 2022-03-22 Yurong Chen , Hui Zhang , Yaonan Wang , Q. M. Jonathan Wu , Yimin Yang

Wasserstein autoencoders are effective for text generation. They do not however provide any control over the style and topic of the generated sentences if the dataset has multiple classes and includes different topics. In this work, we…

Computation and Language · Computer Science 2019-11-12 Amirpasha Ghabussi , Lili Mou , Olga Vechtomova

In generative modeling, the Wasserstein distance (WD) has emerged as a useful metric to measure the discrepancy between generated and real data distributions. Unfortunately, it is challenging to approximate the WD of high-dimensional…

Computer Vision and Pattern Recognition · Computer Science 2019-04-16 Jiqing Wu , Zhiwu Huang , Dinesh Acharya , Wen Li , Janine Thoma , Danda Pani Paudel , Luc Van Gool

In generative modeling, the Wasserstein distance (WD) has emerged as a useful metric to measure the discrepancy between generated and real data distributions. Unfortunately, it is challenging to approximate the WD of high-dimensional…

Computer Vision and Pattern Recognition · Computer Science 2019-04-17 Jiqing Wu , Zhiwu Huang , Dinesh Acharya , Wen Li , Janine Thoma , Danda Pani Paudel , Luc Van Gool
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