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This tutorial focuses on the fundamental architectures of Variational Autoencoders (VAE) and Generative Adversarial Networks (GAN), disregarding their numerous variations, to highlight their core principles. Both VAE and GAN utilize simple…

Machine Learning · Computer Science 2025-03-05 Yuan-Hao Wei

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

Modern generative models are usually designed to match target distributions directly in the data space, where the intrinsic dimension of data can be much lower than the ambient dimension. We argue that this discrepancy may contribute to the…

Machine Learning · Computer Science 2020-07-02 Zijun Zhang , Ruixiang Zhang , Zongpeng Li , Yoshua Bengio , Liam Paull

With the increasingly widespread deployment of generative models, there is a mounting need for a deeper understanding of their behaviors and limitations. In this paper, we expose the limitations of Variational Autoencoders (VAEs), which…

Machine Learning · Statistics 2019-06-12 Mihaela Rosca , Balaji Lakshminarayanan , Shakir Mohamed

The generation of discontinuous distributions is a difficult task for most known frameworks such as generative autoencoders and generative adversarial networks. Generative non-invertible models are unable to accurately generate such…

Machine Learning · Computer Science 2021-12-20 Mariia Drozdova , Vitaliy Kinakh , Guillaume Quétant , Tobias Golling , Slava Voloshynovskiy

Generative adversarial networks (GANs) provide an algorithmic framework for constructing generative models with several appealing properties: they do not require a likelihood function to be specified, only a generating procedure; they…

Machine Learning · Statistics 2017-02-28 Shakir Mohamed , Balaji Lakshminarayanan

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

Implicit generative models are difficult to train as no explicit density functions are defined. Generative adversarial nets (GANs) present a minimax framework to train such models, which however can suffer from mode collapse due to the…

Machine Learning · Computer Science 2020-06-25 Chao Du , Kun Xu , Chongxuan Li , Jun Zhu , Bo Zhang

In this paper, we describe the "implicit autoencoder" (IAE), a generative autoencoder in which both the generative path and the recognition path are parametrized by implicit distributions. We use two generative adversarial networks to…

Machine Learning · Computer Science 2019-02-08 Alireza Makhzani

In generative modeling, numerous successful approaches leverage a low-dimensional latent space, e.g., Stable Diffusion models the latent space induced by an encoder and generates images through a paired decoder. Although the selection of…

Machine Learning · Computer Science 2023-10-31 Tianyang Hu , Fei Chen , Haonan Wang , Jiawei Li , Wenjia Wang , Jiacheng Sun , Zhenguo Li

Bayesian inference on structured models typically relies on the ability to infer posterior distributions of underlying hidden variables. However, inference in implicit models or complex posterior distributions is hard. A popular tool for…

Machine Learning · Statistics 2016-12-16 Theofanis Karaletsos

Neural samplers such as variational autoencoders (VAEs) or generative adversarial networks (GANs) approximate distributions by transforming samples from a simple random source---the latent space---to samples from a more complex distribution…

Machine Learning · Statistics 2018-02-09 Nutan Chen , Alexej Klushyn , Richard Kurle , Xueyan Jiang , Justin Bayer , Patrick van der Smagt

Variational autoencoders (VAEs) and generative adversarial networks (GANs) enjoy an intuitive connection to manifold learning: in training the decoder/generator is optimized to approximate a homeomorphism between the data distribution and…

Machine Learning · Computer Science 2020-08-28 Henry Li , Ofir Lindenbaum , Xiuyuan Cheng , Alexander Cloninger

Generative adversarial networks (GANs) have given us a great tool to fit implicit generative models to data. Implicit distributions are ones we can sample from easily, and take derivatives of samples with respect to model parameters. These…

Machine Learning · Statistics 2017-02-28 Ferenc Huszár

We present a neural network architecture based upon the Autoencoder (AE) and Generative Adversarial Network (GAN) that promotes a convex latent distribution by training adversarially on latent space interpolations. By using an AE as both…

Machine Learning · Computer Science 2019-04-24 Tim Sainburg , Marvin Thielk , Brad Theilman , Benjamin Migliori , Timothy Gentner

Diffusion-based generative models learn to iteratively transfer unstructured noise to a complex target distribution as opposed to Generative Adversarial Networks (GANs) or the decoder of Variational Autoencoders (VAEs) which produce samples…

Machine Learning · Computer Science 2022-10-26 Sarthak Mittal , Guillaume Lajoie , Stefan Bauer , Arash Mehrjou

In autoencoder, the encoder generally approximates the latent distribution over the dataset, and the decoder generates samples using this learned latent distribution. There is very little control over the latent vector as using the random…

Computer Vision and Pattern Recognition · Computer Science 2025-01-22 Sanket Kalwar , Animikh Aich , Tanay Dixit , Adit Chhabra

Auto-encoding generative adversarial networks (GANs) combine the standard GAN algorithm, which discriminates between real and model-generated data, with a reconstruction loss given by an auto-encoder. Such models aim to prevent mode…

Machine Learning · Statistics 2017-10-24 Mihaela Rosca , Balaji Lakshminarayanan , David Warde-Farley , Shakir Mohamed

Semi-supervised learning is sought for leveraging the unlabelled data when labelled data is difficult or expensive to acquire. Deep generative models (e.g., Variational Autoencoder (VAE)) and semisupervised Generative Adversarial Networks…

Machine Learning · Computer Science 2019-05-09 Xiang Zhang , Lina Yao , Feng Yuan

We propose a discrete latent distribution for Generative Adversarial Networks (GANs). Instead of drawing latent vectors from a continuous prior, we sample from a finite set of learnable latents. However, a direct parametrization of such a…

Computer Vision and Pattern Recognition · Computer Science 2023-05-02 Evangelos Ntavelis , Mohamad Shahbazi , Iason Kastanis , Radu Timofte , Martin Danelljan , Luc Van Gool
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