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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

We study the problem of self-supervised structured representation learning using autoencoders for downstream tasks such as generative modeling. Unlike most methods which rely on matching an arbitrary, relatively unstructured, prior…

Machine Learning · Computer Science 2024-02-16 Felix Leeb , Guilia Lanzillotta , Yashas Annadani , Michel Besserve , Stefan Bauer , Bernhard Schölkopf

Variational Autoencoders (VAE) are popular generative models used to sample from complex data distributions. Despite their empirical success in various machine learning tasks, significant gaps remain in understanding their theoretical…

Machine Learning · Statistics 2025-12-23 Sobihan Surendran , Antoine Godichon-Baggioni , Sylvain Le Corff

Variational auto-encoders (VAEs) have proven to be a well suited tool for performing dimensionality reduction by extracting latent variables lying in a potentially much smaller dimensional space than the data. Their ability to capture…

Machine Learning · Statistics 2020-10-23 Clément Chadebec , Clément Mantoux , Stéphanie Allassonnière

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

Recent studies show that auto-encoder based approaches successfully perform language generation, smooth sentence interpolation, and style transfer over unseen attributes using unlabelled datasets in a zero-shot manner. The latent space…

Computation and Language · Computer Science 2022-05-06 Sharan Narasimhan , Suvodip Dey , Maunendra Sankar Desarkar

The latent space of generative modeling is long dominated by the VAE encoder. The latents from the pretrained representation encoders (e.g., DINO, SigLIP, MAE) are previously considered inappropriate for generative modeling. Recently, RAE…

Artificial Intelligence · Computer Science 2026-04-03 Hu Yu , Hang Xu , Jie Huang , Zeyue Xue , Haoyang Huang , Nan Duan , Feng Zhao

A new form of variational autoencoder (VAE) is developed, in which the joint distribution of data and codes is considered in two (symmetric) forms: ($i$) from observed data fed through the encoder to yield codes, and ($ii$) from latent…

Machine Learning · Computer Science 2017-11-21 Yunchen Pu , Weiyao Wang , Ricardo Henao , Liqun Chen , Zhe Gan , Chunyuan Li , Lawrence Carin

Autoencoders (AE) are simple yet powerful class of neural networks that compress data by projecting input into low-dimensional latent space (LS). Whereas LS is formed according to the loss function minimization during training, its…

Computer Vision and Pattern Recognition · Computer Science 2025-08-28 Nikita Gabdullin

An important task in quantum generative machine learning is to model the probability distribution of measurements of many-body quantum systems. Classical generative models, such as generative adversarial networks (GANs) and variational…

Quantum Physics · Physics 2023-05-19 Anantha Rao , Dhiraj Madan , Anupama Ray , Dhinakaran Vinayagamurthy , M. S. Santhanam

Diffusion-based generative models have achieved remarkable performance across various domains, yet their practical deployment is often limited by high sampling costs. While prior work focuses on training objectives or individual solvers,…

Machine Learning · Computer Science 2026-02-16 Sangwoo Jo , Sungjoon Choi

We propose a flipped-Adversarial AutoEncoder (FAAE) that simultaneously trains a generative model G that maps an arbitrary latent code distribution to a data distribution and an encoder E that embodies an "inverse mapping" that encodes a…

Machine Learning · Computer Science 2018-04-05 Jiyi Zhang , Hung Dang , Hwee Kuan Lee , Ee-Chien Chang

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

We study a variant of the variational autoencoder model (VAE) with a Gaussian mixture as a prior distribution, with the goal of performing unsupervised clustering through deep generative models. We observe that the known problem of…

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 practical applications of Wasserstein distances (WDs) are constrained by their sample and computational complexities. Sliced-Wasserstein distances (SWDs) provide a workaround by projecting distributions onto one-dimensional subspaces,…

Machine Learning · Computer Science 2024-11-19 Huy Tran , Yikun Bai , Ashkan Shahbazi , John R. Hershey , Soheil Kolouri

Learning deep discrete latent presentations offers a promise of better symbolic and summarized abstractions that are more useful to subsequent downstream tasks. Inspired by the seminal Vector Quantized Variational Auto-Encoder (VQ-VAE),…

Machine Learning · Computer Science 2023-06-21 Tung-Long Vuong , Trung Le , He Zhao , Chuanxia Zheng , Mehrtash Harandi , Jianfei Cai , Dinh Phung

VAEs (Variational AutoEncoders) have proved to be powerful in the context of density modeling and have been used in a variety of contexts for creative purposes. In many settings, the data we model possesses continuous attributes that we…

Machine Learning · Computer Science 2017-07-18 Gaëtan Hadjeres , Frank Nielsen , François Pachet

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

Maximizing the user-item engagement based on vectorized embeddings is a standard procedure of recent recommender models. Despite the superior performance for item recommendations, these methods however implicitly deprioritize the modeling…

Information Retrieval · Computer Science 2023-05-09 Yankai Chen , Yifei Zhang , Menglin Yang , Zixing Song , Chen Ma , Irwin King
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