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In this paper we study generative modeling via autoencoders while using the elegant geometric properties of the optimal transport (OT) problem and the Wasserstein distances. We introduce Sliced-Wasserstein Autoencoders (SWAE), which are…

机器学习 · 计算机科学 2018-06-28 Soheil Kolouri , Phillip E. Pope , Charles E. Martin , Gustavo K. Rohde

In the process of training a generative model, it becomes essential to measure the discrepancy between two high-dimensional probability distributions: the generative distribution and the ground-truth distribution of the observed dataset.…

机器学习 · 统计学 2023-12-07 Seunghwan An , Sungchul Hong , Jong-June Jeon

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…

机器学习 · 计算机科学 2019-02-26 Shunkang Zhang , Yuan Gao , Yuling Jiao , Jin Liu , Yang Wang , Can Yang

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…

机器学习 · 计算机科学 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…

机器学习 · 统计学 2021-03-05 Kuo Gai , Shihua Zhang

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…

计算机视觉与模式识别 · 计算机科学 2019-10-08 Wenju Xu , Shawn Keshmiri , Guanghui Wang

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,…

机器学习 · 统计学 2019-12-06 Ilya Tolstikhin , Olivier Bousquet , Sylvain Gelly , Bernhard Schoelkopf

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…

机器学习 · 计算机科学 2019-01-15 Jarek Duda

The assumption of conditional independence among observed variables, primarily used in the Variational Autoencoder (VAE) decoder modeling, has limitations when dealing with high-dimensional datasets or complex correlation structures among…

机器学习 · 计算机科学 2023-10-26 Seunghwan An , Jong-June Jeon

The Variational Autoencoder (VAE) is a seminal approach in deep generative modeling with latent variables. Interpreting its reconstruction process as a nonlinear transformation of samples from the latent posterior distribution, we apply the…

机器学习 · 计算机科学 2023-06-09 Faris Janjoš , Lars Rosenbaum , Maxim Dolgov , J. Marius Zöllner

Multimodal Variational Autoencoders have emerged as a popular tool to extract effective representations from rich multimodal data. However, such models rely on fusion strategies in latent space that destroy the joint statistical structure…

机器学习 · 计算机科学 2026-03-03 Federico Caretti , Guido Sanguinetti

The variational autoencoder (VAE; Kingma, Welling (2014)) is a recently proposed generative model pairing a top-down generative network with a bottom-up recognition network which approximates posterior inference. It typically makes strong…

机器学习 · 计算机科学 2016-11-08 Yuri Burda , Roger Grosse , Ruslan Salakhutdinov

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…

机器学习 · 计算机科学 2021-06-25 Sun Sun , Hongyu Guo

We propose a semi-supervised generative model, SeGMA, which learns a joint probability distribution of data and their classes and which is implemented in a typical Wasserstein auto-encoder framework. We choose a mixture of Gaussians as a…

机器学习 · 计算机科学 2020-08-28 Marek Śmieja , Maciej Wołczyk , Jacek Tabor , Bernhard C. Geiger

Current state-of-the-art generative approaches frequently rely on a two-stage training procedure, where an autoencoder (often a VAE) first performs dimensionality reduction, followed by training a generative model on the learned latent…

机器学习 · 统计学 2025-07-15 Gianluigi Silvestri , Luca Ambrogioni

Variation Autoencoder (VAE) has become a powerful tool in modeling the non-linear generative process of data from a low-dimensional latent space. Recently, several studies have proposed to use VAE for unsupervised clustering by using…

机器学习 · 计算机科学 2021-06-29 Qingyu Zhao , Nicolas Honnorat , Ehsan Adeli , Kilian M. Pohl

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…

计算机视觉与模式识别 · 计算机科学 2020-09-24 Cong Geng , Jia Wang , Li Chen , Zhiyong Gao

Variational Autoencoders (VAEs) have been a pioneering force in the realm of deep generative models. Amongst its legions of progenies, Wasserstein Autoencoders (WAEs) stand out in particular due to the dual offering of heightened generative…

机器学习 · 统计学 2023-12-12 Anish Chakrabarty , Arkaprabha Basu , Swagatam Das

Generative models dealing with modeling a~joint data distribution are generally either autoencoder or GAN based. Both have their pros and cons, generating blurry images or being unstable in training or prone to mode collapse phenomenon,…

机器学习 · 计算机科学 2020-09-17 Szymon Knop , Marcin Mazur , Przemysław Spurek , Jacek Tabor , Igor Podolak

Variational autoencoders~(VAEs) have shown a promise in data-driven conversation modeling. However, most VAE conversation models match the approximate posterior distribution over the latent variables to a simple prior such as standard…

计算与语言 · 计算机科学 2019-02-27 Xiaodong Gu , Kyunghyun Cho , Jung-Woo Ha , Sunghun Kim
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