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The graphical lasso is a widely used algorithm for fitting undirected Gaussian graphical models. However, for inference on functionals of edge values in the learned graph, standard tools lack formal statistical guarantees, such as control…

Methodology · Statistics 2025-04-01 Sofia Guglielmini , Gerda Claeskens , Snigdha Panigrahi

A maximal independent set (MIS) can be maintained in an evolving $m$-edge graph by simply recomputing it from scratch in $O(m)$ time after each update. But can it be maintained in time sublinear in $m$ in fully dynamic graphs? We answer…

Data Structures and Algorithms · Computer Science 2018-02-28 Sepehr Assadi , Krzysztof Onak , Baruch Schieber , Shay Solomon

Graph Neural Networks (GNNs) have demonstrated superior performance across various graph learning tasks but face significant computational challenges when applied to large-scale graphs. One effective approach to mitigate these challenges is…

Machine Learning · Computer Science 2024-10-04 Guibin Zhang , Xiangguo Sun , Yanwei Yue , Chonghe Jiang , Kun Wang , Tianlong Chen , Shirui Pan

Clinical diagnostic decision making and population-based studies often rely on multi-modal data which is noisy and incomplete. Recently, several works proposed geometric deep learning approaches to solve disease classification, by modeling…

Machine Learning · Computer Science 2019-05-09 Gerome Vivar , Hendrik Burwinkel , Anees Kazi , Andreas Zwergal , Nassir Navab , Seyed-Ahmad Ahmadi

We study the problem of sampling and reconstructing spectrally sparse graph signals where the objective is to select a subset of nodes of prespecified cardinality that ensures interpolation of the original signal with the lowest possible…

Signal Processing · Electrical Eng. & Systems 2021-11-24 Abolfazl Hashemi , Rasoul Shafipour , Haris Vikalo , Gonzalo Mateos

We present a general framework of designing efficient dynamic approximate algorithms for optimization on undirected graphs. In particular, we develop a technique that, given any problem that admits a certain notion of vertex sparsifiers,…

Data Structures and Algorithms · Computer Science 2020-05-06 Li Chen , Gramoz Goranci , Monika Henzinger , Richard Peng , Thatchaphol Saranurak

With the rapid growth of unstructured and semistructured data, parallelizing graph algorithms has become essential for efficiency. However, due to the inherent irregularity in computation, memory access patterns, and communication, graph…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-16 Nibedita Behera , Ashwina Kumar , Atharva Chougule , Mohammed Shan P S , Rushabh Nirdosh Lalwani , Rupesh Nasre

Existing graph convolutional networks focus on the neighborhood aggregation scheme. When applied to semi-supervised learning, they often suffer from the overfitting problem as the networks are trained with the cross-entropy loss on a small…

Machine Learning · Computer Science 2020-02-18 Qilin Li , Wanquan Liu , Ling Li

Graph representation learning has been extensively studied in recent years. Despite its potential in generating continuous embeddings for various networks, both the effectiveness and efficiency to infer high-quality representations toward…

Machine Learning · Computer Science 2020-06-26 Zhen Yang , Ming Ding , Chang Zhou , Hongxia Yang , Jingren Zhou , Jie Tang

We show a fully dynamic algorithm for maintaining $(1+\epsilon)$-approximate \emph{size} of maximum matching of the graph with $n$ vertices and $m$ edges using $m^{0.5-\Omega_{\epsilon}(1)}$ update time. This is the first polynomial…

Data Structures and Algorithms · Computer Science 2024-04-30 Sayan Bhattacharya , Peter Kiss , Thatchaphol Saranurak

We propose a new method for embedding graphs while preserving directed edge information. Learning such continuous-space vector representations (or embeddings) of nodes in a graph is an important first step for using network information…

Machine Learning · Computer Science 2017-09-15 Sami Abu-El-Haija , Bryan Perozzi , Rami Al-Rfou

The increasing scale of graph datasets has significantly improved the performance of graph representation learning methods, but it has also introduced substantial training challenges. Graph dataset condensation techniques have emerged to…

Machine Learning · Computer Science 2026-05-28 Huaming Du , Yijie Huang , Su Yao , Yiying Wang , Yueyang Zhou , Jingwen Yang , Jinshi Zhang , Han Ji , Yu Zhao , Guisong Liu , Hegui Zhang , Carl Yang , Gang Kou

We study the fully dynamic maximum matching problem. In this problem, the goal is to efficiently maintain an approximate maximum matching of a graph that is subject to edge insertions and deletions. Our focus is on algorithms that maintain…

Data Structures and Algorithms · Computer Science 2024-09-26 Soheil Behnezhad , Alma Ghafari

Maximal clique enumeration (MCE) is a fundamental problem in graph theory and is used in many applications, such as social network analysis, bioinformatics, intelligent agent systems, cyber security, etc. Most existing MCE algorithms focus…

Databases · Computer Science 2020-12-01 Xiaofan Li , Rui Zhou , Lu Chen , Chengfei Liu , Qiang He , Yun Yang

We introduce a novel algorithm to perform graph clustering in the edge streaming setting. In this model, the graph is presented as a sequence of edges that can be processed strictly once. Our streaming algorithm has an extremely low memory…

Machine Learning · Computer Science 2017-12-13 Alexandre Hollocou , Julien Maudet , Thomas Bonald , Marc Lelarge

We advance the state-of-the-art in unsupervised abstractive dialogue summarization by utilizing multi-sentence compression graphs. Starting from well-founded assumptions about word graphs, we present simple but reliable path-reranking and…

Computation and Language · Computer Science 2022-05-27 Seongmin Park , Jihwa Lee

Network representation learning, as an approach to learn low dimensional representations of vertices, has attracted considerable research attention recently. It has been proven extremely useful in many machine learning tasks over large…

Machine Learning · Computer Science 2019-06-11 Hao Peng , Jianxin Li , Hao Yan , Qiran Gong , Senzhang Wang , Lin Liu , Lihong Wang , Xiang Ren

We propose Graph Priority Sampling (GPS), a new paradigm for order-based reservoir sampling from massive streams of graph edges. GPS provides a general way to weight edge sampling according to auxiliary and/or size variables so as to…

Social and Information Networks · Computer Science 2017-03-09 Nesreen K. Ahmed , Nick Duffield , Theodore Willke , Ryan A. Rossi

We consider the problem of tensor completion with graphs serving as side information to represent interrelationships among variables. Existing approaches suffer from several limitations: (1) they are often task-specific and lack generality…

Machine Learning · Computer Science 2026-03-17 Kaidong Wang , Qianxin Yi , Yao Wang , Xiuwu Liao , Shaojie Tang , Can Yang

Graph convolutional networks learn effective node embeddings that have proven to be useful in achieving high-accuracy prediction results in semi-supervised learning tasks, such as node classification. However, these networks suffer from the…

Machine Learning · Computer Science 2020-10-21 Mahsa Mesgaran , A. Ben Hamza