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Variational Graph Auto-Encoders (VGAEs) have been widely used to solve the node clustering task. However, the state-of-the-art methods have numerous challenges. First, existing VGAEs do not account for the discrepancy between the inference…

Machine Learning · Computer Science 2023-12-29 Nairouz Mrabah , Mohamed Bouguessa , Riadh Ksantini

Learning a generative model from partial data (data with missingness) is a challenging area of machine learning research. We study a specific implementation of the Auto-Encoding Variational Bayes (AEVB) algorithm, named in this paper as a…

Machine Learning · Computer Science 2021-01-05 Amir Zadeh , Yao-Chong Lim , Paul Pu Liang , Louis-Philippe Morency

Graph structured data are abundant in the real world. Among different graph types, directed acyclic graphs (DAGs) are of particular interest to machine learning researchers, as many machine learning models are realized as computations on…

Machine Learning · Computer Science 2019-10-30 Muhan Zhang , Shali Jiang , Zhicheng Cui , Roman Garnett , Yixin Chen

This paper propose a novel decomposable graphical model to accommodate skew Gaussian graphical models. We encode conditional independence structure among the components of the multivariate closed skew normal random vector by means of a…

Methodology · Statistics 2013-09-23 Hamid Zareifard , Havard Rue , Majid Jafari Khaledi , Finn Lindgren

For learning graph representations, not all detailed structures within a graph are relevant to the given graph tasks. Task-relevant structures can be $localized$ or $sparse$ which are only involved in subgraphs or characterized by the…

Machine Learning · Computer Science 2022-06-14 Mingqi Yang , Yanming Shen , Heng Qi , Baocai Yin

Learning to generate graphs is challenging as a graph is a set of pairwise connected, unordered nodes encoding complex combinatorial structures. Recently, several works have proposed graph generative models based on normalizing flows or…

Machine Learning · Computer Science 2023-06-21 Xiaohui Chen , Yukun Li , Aonan Zhang , Li-Ping Liu

Graph autoencoders (AE) and variational autoencoders (VAE) are powerful node embedding methods, but suffer from scalability issues. In this paper, we introduce FastGAE, a general framework to scale graph AE and VAE to large graphs with…

Machine Learning · Computer Science 2021-04-14 Guillaume Salha , Romain Hennequin , Jean-Baptiste Remy , Manuel Moussallam , Michalis Vazirgiannis

Community detection is a fundamental and important issue in network science, but there are only a few community detection algorithms based on graph neural networks, among which unsupervised algorithms are almost blank. By fusing the…

Social and Information Networks · Computer Science 2022-03-08 Chenyang Qiu , Zhaoci Huang , Wenzhe Xu , Huijia Li

Graphical models are a framework for representing and exploiting prior conditional independence structures within distributions using graphs. In the Gaussian case, these models are directly related to the sparsity of the inverse covariance…

Statistics Theory · Mathematics 2015-10-28 Ami Wiesel , Yonina C. Eldar , Alfred O. Hero

We propose an algorithm, guided variational autoencoder (Guided-VAE), that is able to learn a controllable generative model by performing latent representation disentanglement learning. The learning objective is achieved by providing…

Computer Vision and Pattern Recognition · Computer Science 2020-04-06 Zheng Ding , Yifan Xu , Weijian Xu , Gaurav Parmar , Yang Yang , Max Welling , Zhuowen Tu

Recovering hidden graph-like structures from potentially noisy data is a fundamental task in modern data analysis. Recently, a persistence-guided discrete Morse-based framework to extract a geometric graph from low-dimensional data has…

Computational Geometry · Computer Science 2018-03-22 Tamal K. Dey , Jiayuan Wang , Yusu Wang

In [DOI:10.1109/ICMEW.2014.6890711], a graph-based denoising is performed by projecting the noisy image to a lower dimensional Krylov subspace of the graph Laplacian, constructed using nonnegative weights determined by distances between…

Computer Vision and Pattern Recognition · Computer Science 2016-06-13 Andrew Knyazev

We propose an interpretable graph neural network framework to denoise single or multiple noisy graph signals. The proposed graph unrolling networks expand algorithm unrolling to the graph domain and provide an interpretation of the…

Signal Processing · Electrical Eng. & Systems 2021-09-08 Siheng Chen , Yonina C. Eldar , Lingxiao Zhao

Variational autoencoder (VAE) is a widely used generative model for learning latent representations. Burda et al. in their seminal paper showed that learning capacity of VAE is limited by over-pruning. It is a phenomenon where a significant…

Machine Learning · Computer Science 2020-08-10 Rayyan Ahmad Khan , Muhammad Umer Anwaar , Martin Kleinsteuber

Graph partitioning is the problem of dividing the nodes of a graph into balanced partitions while minimizing the edge cut across the partitions. Due to its combinatorial nature, many approximate solutions have been developed, including…

Machine Learning · Computer Science 2019-03-05 Azade Nazi , Will Hang , Anna Goldie , Sujith Ravi , Azalia Mirhoseini

Multiple modalities often co-occur when describing natural phenomena. Learning a joint representation of these modalities should yield deeper and more useful representations. Previous generative approaches to multi-modal input either do not…

Machine Learning · Computer Science 2018-11-13 Mike Wu , Noah Goodman

Deep image generation is becoming a tool to enhance artists and designers creativity potential. In this paper, we aim at making the generation process more structured and easier to interact with. Inspired by vector graphics systems, we…

Computer Vision and Pattern Recognition · Computer Science 2019-07-09 Othman Sbai , Camille Couprie , Mathieu Aubry

Current deep learning-based manifold learning algorithms such as the variational autoencoder (VAE) require fully sampled data to learn the probability density of real-world datasets. Once learned, the density can be used for a variety of…

Image and Video Processing · Electrical Eng. & Systems 2021-12-13 Qing Zou , Abdul Haseeb Ahmed , Prashant Nagpal , Sarv Priya , Rolf Schulte , Mathews Jacob

We consider the problem of molecular graph generation using deep models. While graphs are discrete, most existing methods use continuous latent variables, resulting in inaccurate modeling of discrete graph structures. In this work, we…

Machine Learning · Computer Science 2021-06-03 Youzhi Luo , Keqiang Yan , Shuiwang Ji

Causal disentanglement from soft interventions is identifiable under the assumptions of linear interventional faithfulness and availability of both observational and interventional data. Previous research has looked into this problem from…

Machine Learning · Computer Science 2025-09-03 Jifan Zhang , Michelle M. Li , Elena Zheleva
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