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Sampling from Gibbs distribution is a central problem in computer science as well as in statistical physics. In this work we focus on the k-colouring model} and the hard-core model with fugacity \lambda when the underlying graph is an…

离散数学 · 计算机科学 2017-01-24 Charilaos Efthymiou

We study dynamic graph algorithms in the Massively Parallel Computation model, which was inspired by practical data processing systems. Our goal is to provide algorithms that can efficiently handle large batches of edge insertions and…

数据结构与算法 · 计算机科学 2021-01-12 Krzysztof Nowicki , Krzysztof Onak

We propose a Markov chain simulation method to generate simple connected random graphs with a specified degree sequence and level of clustering. The networks generated by our algorithm are random in all other respects and can thus serve as…

离散数学 · 计算机科学 2010-02-09 Shweta Bansal , Shashank Khandelwal , Lauren Ancel Meyers

Graph Neural Networks (GNNs) are widely used for learning on graph-structured data, but scaling GNN training to massive graphs remains challenging. To enable scalable distributed training, graphs are divided into smaller partitions that are…

机器学习 · 计算机科学 2026-04-02 Nikolai Merkel , Ruben Mayer , Volker Markl , Hans-Arno Jacobsen

The paper proposes dynamic parallel algorithms for connectivity and bipartiteness of undirected graphs that require constant time and $O(n^{1/2+\epsilon})$ work on the CRCW PRAM model. The work of these algorithms almost matches the work of…

数据结构与算法 · 计算机科学 2023-07-20 Jonas Schmidt , Thomas Schwentick

Hyperbolic models are known to produce networks with properties observed empirically in most network datasets, including heavy-tailed degree distribution, high clustering, and hierarchical structures. As a result, several embeddings…

统计计算 · 统计学 2025-05-16 Simon Lizotte , Jean-Gabriel Young , Antoine Allard

Graphical Gaussian models have proven to be useful tools for exploring network structures based on multivariate data. Applications to studies of gene expression have generated substantial interest in these models, and resulting recent…

统计方法学 · 统计学 2011-08-10 Michael Finegold , Mathias Drton

We developed a flexible parallel algorithm for graph summarization based on vertex-centric programming and parameterized message passing. The base algorithm supports infinitely many structural graph summary models defined in a formal…

数据结构与算法 · 计算机科学 2022-11-07 Till Blume , Jannik Rau , David Richerby , Ansgar Scherp

A significant portion of the data today, e.g, social networks, web connections, etc., can be modeled by graphs. A proper analysis of graphs with Machine Learning (ML) algorithms has the potential to yield far-reaching insights into many…

社会与信息网络 · 计算机科学 2020-09-11 Taha Atahan Akyildiz , Amro Alabsi Aljundi , Kamer Kaya

The rapid growth of graph data creates significant scalability challenges as most graph algorithms scale quadratically with size. To mitigate these issues, Graph Condensation (GC) methods have been proposed to learn a small graph from a…

机器学习 · 计算机科学 2025-08-06 Shengbo Gong , Mohammad Hashemi , Juntong Ni , Carl Yang , Wei Jin

We propose a new framework for efficiently sampling from complex probability distributions using a combination of normalizing flows and elliptical slice sampling (Murray et al., 2010). The central idea is to learn a diffeomorphism, through…

统计方法学 · 统计学 2023-03-28 Alberto Cabezas , Christopher Nemeth

Data randomization or scrambling has been effectively used in various applications to improve the data security. In this paper, we use the idea of data randomization to proactively randomize the spectrum (re)allocation to improve…

网络与互联网体系结构 · 计算机科学 2016-04-19 Sandeep Kumar Singh , Wolfgang Bziuk , Admela Jukan

Graph Neural Networks (GNNs) are powerful deep learning models to generate node embeddings on graphs. When applying deep GNNs on large graphs, it is still challenging to perform training in an efficient and scalable way. We propose a novel…

机器学习 · 计算机科学 2020-10-08 Hanqing Zeng , Hongkuan Zhou , Ajitesh Srivastava , Rajgopal Kannan , Viktor Prasanna

Markov chains are one of the well-known tools for modeling and analyzing stochastic systems. At the same time, they are used for constructing random walks that can achieve a given stationary distribution. This paper is concerned with…

信息论 · 计算机科学 2025-01-07 Saber Jafarizadeh

Spanning Centrality is a measure used in network analysis to determine the importance of an edge in a graph based on its contribution to the connectivity of the entire network. Specifically, it quantifies how critical an edge is in terms of…

社会与信息网络 · 计算机科学 2025-03-25 Gökhan Göktürk , Kamer Kaya

We seek the best traffic allocation scheme for the edge-cloud computing network that satisfies constraints and minimizes the cost based on burstable billing. First, for a fixed network topology, we formulate a family of integer programming…

网络与互联网体系结构 · 计算机科学 2024-08-14 Bin Du , He Zhang , Xiangle Cheng , Lei Zhang

Generative network models play an important role in algorithm development, scaling studies, network analysis, and realistic system benchmarks for graph data sets. The commonly used graph-based benchmark model R-MAT has some drawbacks…

数据结构与算法 · 计算机科学 2016-07-01 Moritz von Looz , Mustafa Özdayi , Sören Laue , Henning Meyerhenke

Whether or not the problem of finding maximal independent sets (MIS) in hypergraphs is in (R)NC is one of the fundamental problems in the theory of parallel computing. Unlike the well-understood case of MIS in graphs, for the hypergraph…

数据结构与算法 · 计算机科学 2014-08-14 Ioana O. Bercea , Navin Goyal , David G. Harris , Aravind Srinivasan

This paper presents a novel meta algorithm, Partition-Merge (PM), which takes existing centralized algorithms for graph computation and makes them distributed and faster. In a nutshell, PM divides the graph into small subgraphs using our…

数据结构与算法 · 计算机科学 2013-09-25 Vincent Blondel , Kyomin Jung , Pushmeet Kohli , Devavrat Shah

Existing approaches for graph neural networks commonly suffer from the oversmoothing issue, regardless of how neighborhoods are aggregated. Most methods also focus on transductive scenarios for fixed graphs, leading to poor generalization…

机器学习 · 计算机科学 2020-06-25 Kyuyong Shin , Wonyoung Shin , Jung-Woo Ha , Sunyoung Kwon