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In urban spatial networks, there is an interdependency between neighborhood roles and the transportation methods between neighborhoods. In this paper, we classify docking stations in bicycle-sharing networks to gain insight into the human…

Social and Information Networks · Computer Science 2021-08-16 Jane Carlen , Jaume de Dios Pont , Cassidy Mentus , Shyr-Shea Chang , Stephanie Wang , Mason A. Porter

We analyze the bootstrap percolation process on the stochastic block model (SBM), a natural extension of the Erd\H{o}s--R\'{e}nyi random graph that incorporates the community structure observed in many real systems. In the SBM, nodes are…

Probability · Mathematics 2022-02-01 Giovanni Luca Torrisi , Michele Garetto , Emilio Leonardi

The bipartite network appears in various areas, such as biology, sociology, physiology, and computer science. \cite{rohe2016co} proposed Stochastic co-Blockmodel (ScBM) as a tool for detecting community structure of binary bipartite graph…

Machine Learning · Statistics 2023-05-31 Huan Qing , Jingli Wang

Markov chain Monte Carlo (MCMC) is a sampling-based method for estimating features of probability distributions. MCMC methods produce a serially correlated, yet representative, sample from the desired distribution. As such it can be…

Computation · Statistics 2019-12-10 Dootika Vats , Nathan Robertson , James M Flegal , Galin L Jones

Community detection is a fundamental task in graph analysis, with methods often relying on fitting models like the Stochastic Block Model (SBM) to observed networks. While many algorithms can accurately estimate SBM parameters when the…

Machine Learning · Statistics 2025-06-05 Leonardo Martins Bianco , Christine Keribin , Zacharie Naulet

Efficient sampling of many-dimensional and multimodal density functions is a task of great interest in many research fields. We describe an algorithm that allows parallelizing inherently serial Markov chain Monte Carlo (MCMC) sampling by…

Computation · Statistics 2020-08-10 Vasyl Hafych , Philipp Eller , Oliver Schulz , Allen Caldwell

Markov Chain Monte Carlo (MCMC) methods are a popular technique in Bayesian statistical modeling. They have long been used to obtain samples from posterior distributions, but recent research has focused on the scalability of these…

Methodology · Statistics 2016-02-02 Nicholas A. Johnson , Frank O. Kuehnel , Ali Nasiri Amini

The random numbers driving Markov chain Monte Carlo (MCMC) simulation are usually modeled as independent U(0,1) random variables. Tribble [Markov chain Monte Carlo algorithms using completely uniformly distributed driving sequences (2007)…

Statistics Theory · Mathematics 2011-05-11 S. Chen , J. Dick , A. B. Owen

Bayesian mixture models are widely applied for unsupervised learning and exploratory data analysis. Markov chain Monte Carlo based on Gibbs sampling and split-merge moves are widely used for inference in these models. However, both methods…

Machine Learning · Statistics 2014-06-03 Tue Herlau , Morten Mørup , Yee Whye Teh , Mikkel N. Schmidt

Monte Carlo (MC) sampling methods are widely applied in Bayesian inference, system simulation and optimization problems. The Markov Chain Monte Carlo (MCMC) algorithms are a well-known class of MC methods which generate a Markov chain with…

Methodology · Statistics 2024-06-21 Luca Martino , Victor Elvira

Divide-and-conquer strategies for Monte Carlo algorithms are an increasingly popular approach to making Bayesian inference scalable to large data sets. In its simplest form, the data are partitioned across multiple computing cores and a…

Computation · Statistics 2022-08-09 Callum Vyner , Christopher Nemeth , Chris Sherlock

Multiple-input multiple-output (MIMO) systems will play a crucial role in future wireless communication, but improving their signal detection performance to increase transmission efficiency remains a challenge. To address this issue, we…

Networking and Internet Architecture · Computer Science 2024-03-08 Junichiro Hagiwara , Kazushi Matsumura , Hiroki Asumi , Yukiko Kasuga , Toshihiko Nishimura , Takanori Sato , Yasutaka Ogawa , Takeo Ohgane

Stochastic gradient Markov Chain Monte Carlo (SGMCMC) is considered the gold standard for Bayesian inference in large-scale models, such as Bayesian neural networks. Since practitioners face speed versus accuracy tradeoffs in these models,…

Machine Learning · Computer Science 2022-07-19 Antonios Alexos , Alex Boyd , Stephan Mandt

We introduce a Markov Chain Monte Carlo (MCMC) method that is designed to sample from target distributions with irregular geometry using an adaptive scheme. In cases where targets exhibit non-Gaussian behaviour, we propose that adaption…

Computation · Statistics 2023-10-06 Ameer Dharamshi , Vivian Ngo , Jeffrey S. Rosenthal

Adaptive and interacting Markov chain Monte Carlo algorithms (MCMC) have been recently introduced in the literature. These novel simulation algorithms are designed to increase the simulation efficiency to sample complex distributions.…

Statistics Theory · Mathematics 2012-03-15 G. Fort , E. Moulines , P. Priouret

A novel computationally efficient Markov chain Monte Carlo (MCMC) scheme for latent Gaussian models (LGMs) is proposed in this paper. The sampling scheme is a two block Gibbs sampling scheme designed to exploit the model structure of LGMs.…

Computation · Statistics 2015-06-23 Óli Páll Geirsson , Birgir Hrafnkelsson , Daniel Simpson , Helgi Sigurðarson

This work presents an efficient approach for accelerating multilevel Markov Chain Monte Carlo (MCMC) sampling for large-scale problems using low-fidelity machine learning models. While conventional techniques for large-scale Bayesian…

Machine Learning · Statistics 2024-05-21 Sohail Reddy , Hillary Fairbanks

Markov Chain Monte Carlo (MCMC) methods such as Gibbs sampling are finding widespread use in applied statistics and machine learning. These often lead to difficult computational problems, which are increasingly being solved on parallel and…

Machine Learning · Statistics 2018-06-05 Alexander Terenin , Eric P. Xing

This paper considers the parameter estimation problem in Mixed Membership Stochastic Block Model (MMSB), which is a quite general instance of random graph model allowing for overlapping community structure. We present the new algorithm…

Statistics Theory · Mathematics 2020-01-24 Maxim Panov , Konstantin Slavnov , Roman Ushakov

Many applications in network analysis require algorithms to sample uniformly at random from the set of all graphs with a prescribed degree sequence. We present a Markov chain based approach which converges to the uniform distribution of all…

Discrete Mathematics · Computer Science 2010-03-05 Annabell Berger , Matthias Müller-Hannemann
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