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Recent advances in dynamic graph processing have enabled the analysis of highly dynamic graphs with change at rates as high as millions of edge changes per second. Solutions in this domain, however, have been demonstrated only for…

Data Structures and Algorithms · Computer Science 2023-11-14 Juntong Luo , Scott Sallinen , Matei Ripeanu

Learning fair graph representations for downstream applications is becoming increasingly important, but existing work has mostly focused on improving fairness at the global level by either modifying the graph structure or objective function…

Social and Information Networks · Computer Science 2022-12-26 April Chen , Ryan Rossi , Nedim Lipka , Jane Hoffswell , Gromit Chan , Shunan Guo , Eunyee Koh , Sungchul Kim , Nesreen K. Ahmed

Sequential change-point detection for graphs is a fundamental problem for streaming network data types and has wide applications in social networks and power systems. Given fixed vertices and a sequence of random graphs, the objective is to…

Statistics Theory · Mathematics 2021-02-12 Liyan Xie , Yao Xie

We consider the question of orienting the edges in a graph $G$ such that every vertex has bounded out-degree. For graphs of arboricity $\alpha$, there is an orientation in which every vertex has out-degree at most $\alpha$ and, moreover,…

Data Structures and Algorithms · Computer Science 2025-01-07 Slobodan Mitrović , Ronitt Rubinfeld , Mihir Singhal

The most commonly used method to tackle the graph partitioning problem in practice is the multilevel approach. During a coarsening phase, a multilevel graph partitioning algorithm reduces the graph size by iteratively contracting nodes and…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-03-26 Henning Meyerhenke , Peter Sanders , Christian Schulz

Graph clustering has many important applications in computing, but due to the increasing sizes of graphs, even traditionally fast clustering methods can be computationally expensive for real-world graphs of interest. Scalability problems…

Social and Information Networks · Computer Science 2018-10-18 Kimon Fountoulakis , David F. Gleich , Michael W. Mahoney

Many score-based active learning methods have been successfully applied to graph-structured data, aiming to reduce the number of labels and achieve better performance of graph neural networks based on predefined score functions. However,…

Machine Learning · Computer Science 2023-04-25 Yinchuan Li , Zhigang Li , Wenqian Li , Yunfeng Shao , Yan Zheng , Jianye Hao

We propose neighborhood-based core decomposition: a novel way of decomposing hypergraphs into hierarchical neighborhood-cohesive subhypergraphs. Alternative approaches to decomposing hypergraphs, e.g., reduction to clique or bipartite…

Social and Information Networks · Computer Science 2023-04-11 Naheed Anjum Arafat , Arijit Khan , Arpit Kumar Rai , Bishwamittra Ghosh

We introduce a general class of algorithms and supply a number of general results useful for analysing these algorithms when applied to regular graphs of large girth. As a result, we can transfer a number of results proved for random…

Combinatorics · Mathematics 2017-03-06 Carlos Hoppen , Nicholas Wormald

We describe algorithms to efficiently compute minimum $(s,t)$-cuts and global minimum cuts of undirected surface-embedded graphs. Given an edge-weighted undirected graph $G$ with $n$ vertices embedded on an orientable surface of genus $g$,…

Data Structures and Algorithms · Computer Science 2019-10-11 Erin W. Chambers , Jeff Erickson , Kyle Fox , Amir Nayyeri

We consider a routing problem which plays an important role in several applications, primarily in communication network planning and VLSI layout design. The original underlying graph algorithmic task is called Disjoint Paths problem. In…

Data Structures and Algorithms · Computer Science 2018-09-19 Rupei Xu , András Faragó

We show that in random $K$-uniform hypergraphs of constant average degree, for even $K \geq 4$, local algorithms defined as factors of i.i.d. can not find nearly maximal cuts, when the average degree is sufficiently large. These algorithms…

Probability · Mathematics 2019-11-05 Wei-Kuo Chen , David Gamarnik , Dmitry Panchenko , Mustazee Rahman

Graph clustering is a fundamental problem that has been extensively studied both in theory and practice. The problem has been defined in several ways in literature and most of them have been proven to be NP-Hard. Due to their high practical…

Social and Information Networks · Computer Science 2012-03-27 Sumit Singh

Stochastic gradient methods are dominant in nonconvex optimization especially for deep models but have low asymptotical convergence due to the fixed smoothness. To address this problem, we propose a simple yet effective method for improving…

Machine Learning · Computer Science 2018-05-25 Jun Li , Hongfu Liu , Bineng Zhong , Yue Wu , Yun Fu

Pseudocode is extensively used in introductory programming courses to instruct computer science students in algorithm design, utilizing natural language to define algorithmic behaviors. This learning approach enables students to convert…

Computers and Society · Computer Science 2024-10-30 Zhenyu Xu , Kun Zhang , Victor S. Sheng

Locally supervised learning aims to train a neural network based on a local estimation of the global loss function at each decoupled module of the network. Auxiliary networks are typically appended to the modules to approximate the gradient…

Machine Learning · Computer Science 2022-08-02 Hasnain Irshad Bhatti , Jaekyun Moon

We study the task of finding good local optima in combinatorial optimization problems. Although combinatorial optimization is NP-hard in general, locally optimal solutions are frequently used in practice. Local search methods however…

Machine Learning · Statistics 2020-01-03 Uri Patish , Shimon Ullman

Recently similarity graphs became the leading paradigm for efficient nearest neighbor search, outperforming traditional tree-based and LSH-based methods. Similarity graphs perform the search via greedy routing: a query traverses the graph…

Machine Learning · Computer Science 2019-05-28 Dmitry Baranchuk , Dmitry Persiyanov , Anton Sinitsin , Artem Babenko

Generative flow networks (GFlowNets) are a family of algorithms that learn a generative policy to sample discrete objects $x$ with non-negative reward $R(x)$. Learning objectives guarantee the GFlowNet samples $x$ from the target…

Machine Learning · Computer Science 2023-05-15 Max W. Shen , Emmanuel Bengio , Ehsan Hajiramezanali , Andreas Loukas , Kyunghyun Cho , Tommaso Biancalani

Local community detection, the problem of identifying a set of relevant nodes nearby a small set of input seed nodes, is an important graph primitive with a wealth of applications and research activity. Recent approaches include using local…

Social and Information Networks · Computer Science 2016-11-17 Kyle Kloster , Yixuan Li