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We study the problem of learning a directed acyclic graph from data generated according to an additive, non-linear structural equation model with Gaussian noise. We express each non-linear function through a basis expansion, and derive a…

Methodology · Statistics 2025-11-27 Xiaozhu Zhang , Nir Keret , Ali Shojaie , Armeen Taeb

The prevalence of large-scale graphs poses great challenges in time and storage for training and deploying graph neural networks (GNNs). Several recent works have explored solutions for pruning the large original graph into a small and…

Machine Learning · Computer Science 2023-05-19 Jintang Li , Sheng Tian , Ruofan Wu , Liang Zhu , Welong Zhao , Changhua Meng , Liang Chen , Zibin Zheng , Hongzhi Yin

Graph neural networks (GNNs) work well when the graph structure is provided. However, this structure may not always be available in real-world applications. One solution to this problem is to infer a task-specific latent structure and then…

Machine Learning · Computer Science 2021-11-02 Bahare Fatemi , Layla El Asri , Seyed Mehran Kazemi

The graph with complex annotations is the most potent data type, whose constantly evolving motivates further exploration of the unsupervised dynamic graph representation. One of the representative paradigms is graph contrastive learning. It…

Machine Learning · Computer Science 2024-12-20 Yiming Xu , Bin Shi , Teng Ma , Bo Dong , Haoyi Zhou , Qinghua Zheng

We introduce a novel masked graph autoencoder (MGAE) framework to perform effective learning on graph structure data. Taking insights from self-supervised learning, we randomly mask a large proportion of edges and try to reconstruct these…

Machine Learning · Computer Science 2022-01-10 Qiaoyu Tan , Ninghao Liu , Xiao Huang , Rui Chen , Soo-Hyun Choi , Xia Hu

In the Graph Reconstruction (GR) problem, a player initially only knows the vertex set $V$ of an input graph $G=(V, E)$ and is required to learn its set of edges $E$. To this end, the player submits queries to an oracle and must deduce $E$…

Data Structures and Algorithms · Computer Science 2024-12-04 Christian Konrad , Conor O'Sullivan , Victor Traistaru

In recent years, graph neural networks (GNNs) have been widely applied in tackling combinatorial optimization problems. However, existing methods still suffer from limited accuracy when addressing that on complex graphs and exhibit poor…

Machine Learning · Computer Science 2025-11-13 Yuyao Long

We study the problem of semi-supervised learning on graphs, for which graph neural networks (GNNs) have been extensively explored. However, most existing GNNs inherently suffer from the limitations of over-smoothing, non-robustness, and…

Machine Learning · Computer Science 2021-09-22 Wenzheng Feng , Jie Zhang , Yuxiao Dong , Yu Han , Huanbo Luan , Qian Xu , Qiang Yang , Evgeny Kharlamov , Jie Tang

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…

Information Theory · Computer Science 2018-11-06 Arun Venkitaraman , Hermina Petric Maretic , Saikat Chatterjee , Pascal Frossard

The human ability to synchronize the feedback from all their senses inspired recent works in multi-task and multi-modal learning. While these works rely on expensive supervision, our multi-task graph requires only pseudo-labels from expert…

Machine Learning · Computer Science 2021-11-05 Emanuela Haller , Elena Burceanu , Marius Leordeanu

Semi-supervised node classification on graphs is an important research problem, with many real-world applications in information retrieval such as content classification on a social network and query intent classification on an e-commerce…

Machine Learning · Computer Science 2022-03-29 Zhihao Wen , Yuan Fang , Zemin Liu

In recent years, unsupervised and self-supervised graph representation learning has gained popularity in the research community. However, most proposed methods are focused on homogeneous networks, whereas real-world graphs often contain…

Machine Learning · Computer Science 2024-02-29 Piotr Bielak , Tomasz Kajdanowicz

We propose a simple discrete time semi-supervised graph embedding approach to link prediction in dynamic networks. The learned embedding reflects information from both the temporal and cross-sectional network structures, which is performed…

Machine Learning · Statistics 2016-10-17 Ryohei Hisano

A dynamic graph algorithm is a data structure that supports edge insertions, deletions, and specific problem queries. While extensive research exists on dynamic algorithms for graph problems solvable in polynomial time, most of these…

Data Structures and Algorithms · Computer Science 2024-07-10 Jannick Borowitz , Ernestine Großmann , Christian Schulz

We investigate online algorithms for maximum (weight) independent set on graph classes with bounded inductive independence number like, e.g., interval and disk graphs with applications to, e.g., task scheduling and spectrum allocation. In…

Data Structures and Algorithms · Computer Science 2013-07-12 Oliver Göbel , Martin Hoefer , Thomas Kesselheim , Thomas Schleiden , Berthold Vöcking

Deep representation learning on non-Euclidean data types, such as graphs, has gained significant attention in recent years. Invent of graph neural networks has improved the state-of-the-art for both node and the entire graph representation…

Machine Learning · Computer Science 2020-06-09 Sambaran Bandyopadhyay , Manasvi Aggarwal , M. Narasimha Murty

The graph theoretic concept of maximal independent set arises in several practical problems in computer science as well as in game theory. A maximal independent set is defined by the set of occupied nodes that satisfy some packing and…

Disordered Systems and Neural Networks · Physics 2010-01-28 L. Dall'Asta , P. Pin , A. Ramezanpour

Motivated by the need to study the molecular mechanism underlying Type 1 Diabetes (T1D) with the gene expression data collected from both the patients and healthy controls at multiple time points, we propose an innovative method for jointly…

Methodology · Statistics 2018-12-10 Bochao Jia , Faming Liang , the TEDDY Study Group

Graph neural networks (GNNs) have been applied into a variety of graph tasks. Most existing work of GNNs is based on the assumption that the given graph data is optimal, while it is inevitable that there exists missing or incomplete edges…

Machine Learning · Computer Science 2022-05-13 Qianggang Ding , Deheng Ye , Tingyang Xu , Peilin Zhao

We present GraphMix, a regularization method for Graph Neural Network based semi-supervised object classification, whereby we propose to train a fully-connected network jointly with the graph neural network via parameter sharing and…

Machine Learning · Computer Science 2020-10-12 Vikas Verma , Meng Qu , Kenji Kawaguchi , Alex Lamb , Yoshua Bengio , Juho Kannala , Jian Tang
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