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We introduce the variational graph auto-encoder (VGAE), a framework for unsupervised learning on graph-structured data based on the variational auto-encoder (VAE). This model makes use of latent variables and is capable of learning…

Machine Learning · Statistics 2016-11-23 Thomas N. Kipf , Max Welling

Normalizing flows, autoregressive models, variational autoencoders (VAEs), and deep energy-based models are among competing likelihood-based frameworks for deep generative learning. Among them, VAEs have the advantage of fast and tractable…

Machine Learning · Statistics 2021-01-11 Arash Vahdat , Jan Kautz

Although substantial efforts have been made to learn disentangled representations under the variational autoencoder (VAE) framework, the fundamental properties to the dynamics of learning of most VAE models still remain unknown and…

Machine Learning · Computer Science 2020-07-14 Yanjun Li , Shujian Yu , Jose C. Principe , Xiaolin Li , Dapeng Wu

The performance of many network learning applications crucially hinges on the success of network embedding algorithms, which aim to encode rich network information into low-dimensional vertex-based vector representations. This paper…

Machine Learning · Computer Science 2019-10-01 Wenlin Wang , Chenyang Tao , Zhe Gan , Guoyin Wang , Liqun Chen , Xinyuan Zhang , Ruiyi Zhang , Qian Yang , Ricardo Henao , Lawrence Carin

Visual-Semantic Embedding (VSE) is a prevalent approach in image-text retrieval by learning a joint embedding space between the image and language modalities where semantic similarities would be preserved. The triplet loss with…

Computer Vision and Pattern Recognition · Computer Science 2022-10-25 Hong Xuan , Xi Chen

The variational autoencoder (VAE) framework is a popular option for training unsupervised generative models, featuring ease of training and latent representation of data. The objective function of VAE does not guarantee to achieve the…

Machine Learning · Computer Science 2019-04-25 Jason Chou

Classic variational autoencoders are used to learn complex data distributions, that are built on standard function approximators. Especially, VAE has shown promise on a lot of complex task. In this paper, a new autoencoder model -…

Computer Vision and Pattern Recognition · Computer Science 2020-01-13 Qiuyu Zhu , Ruixin Zhang

Variational autoencoders (VAEs) are a powerful class of deep generative latent variable model for unsupervised representation learning on high-dimensional data. To ensure computational tractability, VAEs are often implemented with a…

Machine Learning · Computer Science 2020-06-09 Alex Campbell , Pietro Liò

The Variational Auto-Encoder (VAE) is a simple, efficient, and popular deep maximum likelihood model. Though usage of VAEs is widespread, the derivation of the VAE is not as widely understood. In this tutorial, we will provide an overview…

Machine Learning · Computer Science 2020-07-02 Ronald Yu

In this paper, we introduce the Variational Autoencoder (VAE) to an end-to-end speech synthesis model, to learn the latent representation of speaking styles in an unsupervised manner. The style representation learned through VAE shows good…

Computation and Language · Computer Science 2019-02-15 Ya-Jie Zhang , Shifeng Pan , Lei He , Zhen-Hua Ling

I present a Variational Autoencoder (VAE) trained on collider physics data (specifically boosted $W$ jets), with reconstruction error given by an approximation to the Earth Movers Distance (EMD) between input and output jets. This VAE…

High Energy Physics - Phenomenology · Physics 2022-04-20 Jack H. Collins

The variational autoencoder (VAE) is a powerful generative model that can estimate the probability of a data point by using latent variables. In the VAE, the posterior of the latent variable given the data point is regularized by the prior…

Machine Learning · Statistics 2019-12-30 Hiroshi Takahashi , Tomoharu Iwata , Yuki Yamanaka , Masanori Yamada , Satoshi Yagi

Variational Auto-Encoders (VAEs) have been widely applied for learning compact, low-dimensional latent representations of high-dimensional data. When the correlation structure among data points is available, previous work proposed…

Machine Learning · Computer Science 2019-12-20 Da Tang , Dawen Liang , Nicholas Ruozzi , Tony Jebara

Data-driven fault diagnostics of safety-critical systems often faces the challenge of a complete lack of labeled data associated with faulty system conditions (i.e., fault types) at training time. Since an unknown number and nature of fault…

Machine Learning · Computer Science 2020-10-01 Manuel Arias Chao , Bryan T. Adey , Olga Fink

The ability of Variational Autoencoders (VAEs) to learn disentangled representations has made them popular for practical applications. However, their behaviour is not yet fully understood. For example, the questions of when they can provide…

Machine Learning · Computer Science 2022-09-27 Lisa Bonheme , Marek Grzes

Euclidean geometry has historically been the typical "workhorse" for machine learning applications due to its power and simplicity. However, it has recently been shown that geometric spaces with constant non-zero curvature improve…

Machine Learning · Computer Science 2020-02-14 Ondrej Skopek , Octavian-Eugen Ganea , Gary Bécigneul

In this tutorial, we explore Variational Autoencoders (VAEs), an essential framework for unsupervised learning, particularly suited for high-dimensional datasets such as neuroimaging. By integrating deep learning with Bayesian inference,…

Image and Video Processing · Electrical Eng. & Systems 2025-01-15 C. Vázquez-García , F. J. Martínez-Murcia , F. Segovia Román , Juan M. Górriz Sáez

As one of the most popular generative models, Variational Autoencoder (VAE) approximates the posterior of latent variables based on amortized variational inference. However, when the decoder network is sufficiently expressive, VAE may lead…

Machine Learning · Computer Science 2021-10-26 Dazhong Shen , Chuan Qin , Chao Wang , Hengshu Zhu , Enhong Chen , Hui Xiong

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 from heterogeneous data poses challenges such as combining data from various sources and of different types. Meanwhile, heterogeneous data are often associated with missingness in real-world applications due to heterogeneity and…

Machine Learning · Computer Science 2021-02-26 Yu Gong , Hossein Hajimirsadeghi , Jiawei He , Thibaut Durand , Greg Mori
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