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We consider random walks on discrete state spaces, such as general undirected graphs, where the random walkers are designed to approximate a target quantity over the network topology via sampling and neighborhood exploration in the form of…

Probability · Mathematics 2024-01-30 Vishwaraj Doshi , Jie Hu , Do Young Eun

Importance sampling of trajectories has proved a uniquely successful strategy for exploring rare dynamical behaviors of complex systems in an unbiased way. Carrying out this sampling, however, requires an ability to propose changes to…

Statistical Mechanics · Physics 2015-07-01 Todd R. Gingrich , Phillip L. Geissler

Respondent-driven sampling (RDS) is frequently used when sampling hard-to-reach and/or stigmatized communities. RDS utilizes a peer-driven recruitment mechanism where sampled individuals pass on participation coupons to at most $c$ of their…

Physics and Society · Physics 2014-11-19 Jens Malmros , Fredrik Liljeros , Tom Britton

The regression discontinuity design (RDD) is a quasi-experimental design that can be used to identify and estimate the causal effect of a treatment using observational data. In an RDD, a pre-specified rule is used for treatment assignment,…

Methodology · Statistics 2016-01-05 Panayiota Constantinou , Aidan G. O'Keeffe

Continuous-time Markov decision processes are an important class of models in a wide range of applications, ranging from cyber-physical systems to synthetic biology. A central problem is how to devise a policy to control the system in order…

Systems and Control · Computer Science 2016-06-01 Ezio Bartocci , Luca Bortolussi , Tomǎš Brázdil , Dimitrios Milios , Guido Sanguinetti

The objective of this paper is to study the characteristics (geometric and otherwise) of very large attribute based undirected networks. Real-world networks are often very large and fast evolving. Their analysis and understanding present a…

Applications · Statistics 2015-10-06 Koushiki Sarkar , Diganta Mukherjee

Motivated by multiple applications in social networks, nervous systems, and financial risk analysis, we consider the problem of learning the underlying (directed) influence graph or causal graph of a high-dimensional multivariate…

Machine Learning · Computer Science 2024-06-14 Smita Bagewadi , Avhishek Chatterjee

Discrete diffusion models have emerged as powerful tools for high-quality data generation. Despite their success in discrete spaces, such as text generation tasks, the acceleration of discrete diffusion models remains under-explored. In…

Machine Learning · Computer Science 2024-12-09 Zixiang Chen , Huizhuo Yuan , Yongqian Li , Yiwen Kou , Junkai Zhang , Quanquan Gu

We suggest a model for data losses in a single node of a packet-switched network (like the Internet) which reduces to one-dimensional discrete random walks with unusual boundary conditions. The model shows critical behavior with an abrupt…

Disordered Systems and Neural Networks · Physics 2009-11-11 I. V. Yurkevich , I. V. Lerner , A. S. Stepanenko , C. C. Constantinou

Respondent-driven sampling (RDS) is a widely used method for sampling from hard-to-reach human populations, especially groups most at-risk for HIV/AIDS. Data are collected through a peer-referral process in which current sample members…

Methodology · Statistics 2012-09-28 Krista J. Gile , Lisa G. Johnston , Matthew J. Salganik

In network meta-analysis (NMA), we synthesize all relevant evidence about health outcomes with competing treatments. The evidence may come from randomized controlled trials (RCT) or non-randomized studies (NRS) as individual participant…

Respondent-driven sampling (RDS) is a link-tracing network sampling strategy for collecting data from hard-to-reach populations, such as injection drug users or individuals at high risk of being infected with HIV. The mechanism is to find…

Computation · Statistics 2012-10-24 Sergiy Nesterko , Joseph Blitzstein

Networks are fundamental models for data used in practically every application domain. In most instances, several implicit or explicit choices about the network definition impact the translation of underlying data to a network…

Artificial Intelligence · Computer Science 2018-01-12 Ivan Brugere , Tanya Y. Berger-Wolf

We propose a new method for detecting changes in Markov network structure between two sets of samples. Instead of naively fitting two Markov network models separately to the two data sets and figuring out their difference, we…

Machine Learning · Statistics 2014-01-03 Song Liu , John A. Quinn , Michael U. Gutmann , Taiji Suzuki , Masashi Sugiyama

Empirical researchers often estimate spillover effects by fitting linear or non-linear regression models to sampled network data. We show that common sampling schemes bias these estimates, potentially upwards, and derive biased-corrected…

General Economics · Economics 2025-09-23 Kieran Marray

Finite-state Markov models are widely used for modeling wireless channels affected by a variety of non-idealities, ranging from shadowing to interference. In an industrial environment, the derivation of a Markov model based on the wireless…

Systems and Control · Electrical Eng. & Systems 2021-04-30 Luis Felipe Florenzan Reyes , Francesco Smarra , Yuriy Zacchia Lun , Alessandro D'Innocenzo

Design of experiments and estimation of treatment effects in large-scale networks, in the presence of strong interference, is a challenging and important problem. Most existing methods' performance deteriorates as the density of the network…

Methodology · Statistics 2020-12-15 Preetam Nandy , Kinjal Basu , Shaunak Chatterjee , Ye Tu

We introduce the avoidance Markov metrics and theories which provide more flexibility in the design of random walk and impose new conditions on the walk to avoid (or transit) a specific node (or a set of nodes) before the stopping criteria.…

Discrete Mathematics · Computer Science 2018-07-18 Golshan Golnari , Zhi-Li Zhang , Daniel Boley

We describe the DISC (Different Individuals, Same Clusters) design, a sampling scheme that can improve the precision of difference-in-differences (DID) estimators in settings involving repeated sampling of a population at multiple time…

Methodology · Statistics 2025-08-21 Jordan Downey , Avi Kenny

Awerbuch et al.'s approach to distributed recommender systems (DRSs) is to have agents sample products at random while randomly querying one another for the best item they have found; we improve upon this by adding a communication network.…

Machine Learning · Computer Science 2007-05-23 Hamilton Link , Jared Saia , Terran Lane , Randall A. LaViolette