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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…

机器学习 · 统计学 2016-11-23 Thomas N. Kipf , Max Welling

We study the problem of variance estimation in general graph-structured problems. First, we develop a linear time estimator for the homoscedastic case that can consistently estimate the variance in general graphs. We show that our estimator…

统计理论 · 数学 2024-02-20 Oscar Hernan Madrid Padilla

We present a semi-supervised learning framework based on graph embeddings. Given a graph between instances, we train an embedding for each instance to jointly predict the class label and the neighborhood context in the graph. We develop…

机器学习 · 计算机科学 2016-05-30 Zhilin Yang , William W. Cohen , Ruslan Salakhutdinov

Machine learning models will often fail when deployed in an environment with a data distribution that is different than the training distribution. When multiple environments are available during training, many methods exist that learn…

机器学习 · 计算机科学 2023-09-26 Alan Q. Wang , Minh Nguyen , Mert R. Sabuncu

Differential graphical models are designed to represent the difference between the conditional dependence structures of two groups, thus are of particular interest for scientific investigation. Motivated by modern applications, this…

统计理论 · 数学 2021-02-03 Sen Na , Mladen Kolar , Oluwasanmi Koyejo

Many real world network problems often concern multivariate nodal attributes such as image, textual, and multi-view feature vectors on nodes, rather than simple univariate nodal attributes. The existing graph estimation methods built on…

机器学习 · 统计学 2013-04-23 Mladen Kolar , Han Liu , Eric P. Xing

Multitude of deep learning models have been proposed for node classification in graphs. However, they tend to perform poorly under labeled-data scarcity. Although Few-shot learning for graphs has been introduced to overcome this problem,…

机器学习 · 计算机科学 2026-02-02 Appan Rakaraddi , Lam Siew-Kei , Mahardhika Pratama , Marcus de Carvalho

Neighborhood selection is a widely used method used for estimating the support set of sparse precision matrices, which helps determine the conditional dependence structure in undirected graphical models. However, reporting only point…

统计方法学 · 统计学 2023-12-29 Yiling Huang , Snigdha Panigrahi , Walter Dempsey

Generative models for graphs have been typically committed to strong prior assumptions concerning the form of the modeled distributions. Moreover, the vast majority of currently available models are either only suitable for characterizing…

社会与信息网络 · 计算机科学 2012-10-19 Antonino Freno , Mikaela Keller , Gemma C. Garriga , Marc Tommasi

We consider statistical inference for network-linked regression problems, where covariates may include network summary statistics computed for each node. In settings involving network data, it is often natural to posit that latent variables…

统计方法学 · 统计学 2025-10-02 Wei Li , Nilanjan Chakraborty , Robert Lunde

We propose a supervised learning approach for predicting an underlying graph from a set of graph signals. Our approach is based on linear regression. In the linear regression model, we predict edge-weights of a graph as the output, given a…

信息论 · 计算机科学 2018-11-06 Arun Venkitaraman , Hermina Petric Maretic , Saikat Chatterjee , Pascal Frossard

Graph-based causal discovery methods aim to capture conditional independencies consistent with the observed data and differentiate causal relationships from indirect or induced ones. Successful construction of graphical models of data…

机器学习 · 统计学 2021-01-08 Boris Hayete , Fred Gruber , Anna Decker , Raymond Yan

Graphical models are widely used in diverse application domains to model the conditional dependencies amongst a collection of random variables. In this paper, we consider settings where the graph structure is covariate-dependent, and…

机器学习 · 统计学 2025-04-24 Jiahe Lin , Yikai Zhang , George Michailidis

We propose a simple yet effective method for detecting anomalous instances on an attribute graph with label information of a small number of instances. Although with standard anomaly detection methods it is usually assumed that instances…

机器学习 · 统计学 2020-02-28 Atsutoshi Kumagai , Tomoharu Iwata , Yasuhiro Fujiwara

Graphs are a fundamental abstraction for modeling relational data. However, graphs are discrete and combinatorial in nature, and learning representations suitable for machine learning tasks poses statistical and computational challenges. In…

机器学习 · 统计学 2019-05-16 Aditya Grover , Aaron Zweig , Stefano Ermon

We study transfer learning for estimation in latent variable network models. In our setting, the conditional edge probability matrices given the latent variables are represented by $P$ for the source and $Q$ for the target. We wish to…

机器学习 · 计算机科学 2024-06-07 Akhil Jalan , Arya Mazumdar , Soumendu Sundar Mukherjee , Purnamrita Sarkar

Graph attention networks learn neighbor importance through data-dependent coefficients, but standard layers lack explicit control over unreliable feature dimensions and use fixed sharpness of attention coefficient distributions. This paper…

机器学习 · 计算机科学 2026-05-29 Zhongtian Ma , Hao Wu , Yexin Zhang , Qiaosheng Zhang , Zhen Wang

Recent advances in Neural Variational Inference allowed for a renaissance in latent variable models in a variety of domains involving high-dimensional data. While traditional variational methods derive an analytical approximation for the…

Graph Neural Networks (GNNs) have emerged as the de facto standard for modeling graph data, with attention mechanisms and transformers significantly enhancing their performance on graph-based tasks. Despite these advancements, the…

机器学习 · 计算机科学 2025-04-07 Nikhil Shivakumar Nayak

This paper addresses the following basic question: given two layouts of the same graph, which one is more aesthetically pleasing? We propose a neural network-based discriminator model trained on a labeled dataset that decides which of two…

数据结构与算法 · 计算机科学 2018-09-05 Moritz Klammler , Tamara Mchedlidze , Alexey Pak