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Uniform sampling from graphical realizations of a given degree sequence is a fundamental component in simulation-based measurements of network observables, with applications ranging from epidemics, through social networks to Internet…

物理与社会 · 物理学 2010-04-14 Charo I. Del Genio , Hyunju Kim , Zoltan Toroczkai , Kevin E. Bassler

Coordinating the design of sampling and sparse-dense matrix multiplication (SpMM) is crucial for accelerating graph neural networks (GNNs). However, due to irrational sampling strategies, existing methods face a trade-off between accuracy…

分布式、并行与集群计算 · 计算机科学 2025-03-25 Yingchen Song , Yaobin Wang , Yi Luo , Huan Wu , Pingping Tang

Markov chain Monte Carlo (MCMC) methods are foundational algorithms for Bayesian inference and probabilistic modeling. However, most MCMC algorithms are inherently sequential and their time complexity scales linearly with the sequence…

统计计算 · 统计学 2025-12-03 David M. Zoltowski , Skyler Wu , Xavier Gonzalez , Leo Kozachkov , Scott W. Linderman

Network embedding is an important step in many different computations based on graph data. However, existing approaches are limited to small or middle size graphs with fewer than a million edges. In practice, web or social network graphs…

分布式、并行与集群计算 · 计算机科学 2020-06-09 Sara Riazi , Boyana Norris

The Onion Decomposition has recently been shown to provide principled models of complex graphs that better reproduce the sparse networks found in nature, but at the cost of complicated connection rules. We propose a k-edge swapping MCMC…

统计力学 · 物理学 2024-10-01 François Thibault , Laurent Hébert-Dufresne , Antoine Allard

Graph embedding aims at learning a vector-based representation of vertices that incorporates the structure of the graph. This representation then enables inference of graph properties. Existing graph embedding techniques, however, do not…

We show that any loopy multigraph with a graphical degree sequence can be transformed into a simple graph by a finite sequence of double edge swaps with each swap involving at least one loop or multiple edge. Our result answers a question…

组合数学 · 数学 2022-07-26 Jonas Sjöstrand

Modern parallel computing devices, such as the graphics processing unit (GPU), have gained significant traction in scientific and statistical computing. They are particularly well-suited to data-parallel algorithms such as the particle…

统计计算 · 统计学 2015-06-12 Lawrence M. Murray , Anthony Lee , Pierre E. Jacob

Communication costs, resulting from synchronization requirements during learning, can greatly slow down many parallel machine learning algorithms. In this paper, we present a parallel Markov chain Monte Carlo (MCMC) algorithm in which…

机器学习 · 统计学 2014-03-24 Willie Neiswanger , Chong Wang , Eric Xing

Gibbs sampling is a Markov Chain Monte Carlo (MCMC) method often used in Bayesian learning. MCMC methods can be difficult to deploy on parallel and distributed systems due to their inherently sequential nature. We study asynchronous Gibbs…

统计计算 · 统计学 2020-03-03 Alexander Terenin , Daniel Simpson , David Draper

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

The graph alignment problem, which considers the optimal node correspondence across networks, has recently gained significant attention due to its wide applications. There are graph alignment methods suited for various network types, but we…

社会与信息网络 · 计算机科学 2025-05-15 Ashley Wang , Peter Chin

We present shared-memory parallel methods for Maximal Clique Enumeration (MCE) from a graph. MCE is a fundamental and well-studied graph analytics task, and is a widely used primitive for identifying dense structures in a graph. Due to its…

数据结构与算法 · 计算机科学 2020-01-30 Apurba Das , Seyed-Vahid Sanei-Mehri , Srikanta Tirthapura

Partitioning graphs into blocks of roughly equal size such that few edges run between blocks is a frequently needed operation in processing graphs. Recently, size, variety, and structural complexity of these networks has grown dramatically.…

数据结构与算法 · 计算机科学 2018-10-16 Yaroslav Akhremtsev , Peter Sanders , Christian Schulz

\Graph similarity computation is an essential task in many real-world graph-related applications such as retrieving the similar drugs given a query chemical compound or finding the user's potential friends from the social network database.…

机器学习 · 计算机科学 2024-12-18 Jingjing Wang , Hongjie Zhu , Haoran Xie , Fu Lee Wang , Xiaoliang Xu , Yuxiang Wang

The modern scale of data has brought new challenges to Bayesian inference. In particular, conventional MCMC algorithms are computationally very expensive for large data sets. A promising approach to solve this problem is embarrassingly…

机器学习 · 统计学 2015-10-27 Xiangyu Wang , Fangjian Guo , Katherine A. Heller , David B. Dunson

Common wisdom in the graph neural network (GNN) community dictates that anisotropic models -- in which messages sent between nodes are a function of both the source and target node -- are required to achieve state-of-the-art performance.…

机器学习 · 计算机科学 2022-05-10 Shyam A. Tailor , Felix L. Opolka , Pietro Liò , Nicholas D. Lane

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

Decision trees are highly famous in machine learning and usually acquire state-of-the-art performance. Despite that, well-known variants like CART, ID3, random forest, and boosted trees miss a probabilistic version that encodes prior…

人工智能 · 计算机科学 2022-07-27 Efthyvoulos Drousiotis , Paul G. Spirakis

Uniform sampling of simple graphs having a given degree sequence is a known problem with exponential complexity in the square of the mean degree. For undirected graphs, randomised approximation algorithms have nonetheless been shown to…

概率论 · 数学 2022-06-28 Femke van Ieperen , Ivan Kryven