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Accurately analyzing graph properties of social networks is a challenging task because of access limitations to the graph data. To address this challenge, several algorithms to obtain unbiased estimates of properties from few samples via a…

Social and Information Networks · Computer Science 2020-07-14 Kazuki Nakajima , Kazuyuki Shudo

We analyze dynamic random network models where younger vertices connect to older ones with probabilities proportional to their degrees as well as a propensity kernel governed by their attribute types. Using stochastic approximation…

Probability · Mathematics 2025-10-29 Nelson Antunes , Sayan Banerjee , Shankar Bhamidi , Vladas Pipiras

We propose a new estimation method for heterogeneous causal effects which utilizes a regression discontinuity (RD) design for multiple datasets with different thresholds. The standard RD design is frequently used in applied researches, but…

Econometrics · Economics 2019-05-14 Takayuki Toda , Ayako Wakano , Takahiro Hoshino

Recent years witnessed the development of powerful generative models based on flows, diffusion or autoregressive neural networks, achieving remarkable success in generating data from examples with applications in a broad range of areas. A…

Disordered Systems and Neural Networks · Physics 2024-07-22 Davide Ghio , Yatin Dandi , Florent Krzakala , Lenka Zdeborová

Social networks play a key role in studying various individual and social behaviors. To use social networks in a study, their structural properties must be measured. For offline social networks, the conventional procedure is…

Social and Information Networks · Computer Science 2018-12-17 Naghmeh Momeni , Michael G. Rabbat

The focus of this work is on estimation of the in-degree distribution in directed networks from sampling network nodes or edges. A number of sampling schemes are considered, including random sampling with and without replacement, and…

Methodology · Statistics 2018-10-03 Nelson Antunes , Shankar Bhamidi , Tianjian Guo , Vladas Pipiras , Bang Wang

We present a geometrically enhanced Markov chain Monte Carlo sampler for networks based on a discrete curvature measure defined on graphs. Specifically, we incorporate the concept of graph Forman curvature into sampling procedures on both…

Machine Learning · Statistics 2021-10-12 John Sigbeku , Emil Saucan , Anthea Monod

The spanning tree heuristic is a commonly adopted procedure in network inference and estimation. It allows one to generalize an inference method developed for trees, which is usually based on a statistically rigorous approach, to a…

Signal Processing · Electrical Eng. & Systems 2019-05-22 Feng Ji , Wenchang Tang , Wee Peng Tay

We investigate the online overlapping batch-means covariance estimator for Stochastic Gradient Descent (SGD) under Markovian sampling. Convergence rates of order $O\big(\sqrt{d}\,n^{-1/8}(\log n)^{1/4}\big)$ and…

Statistics Theory · Mathematics 2023-11-07 Abhishek Roy , Krishnakumar Balasubramanian

In the training process of the implicit 3D reconstruction network, the choice of spatial query points' sampling strategy affects the final performance of the model. Different works have differences in the selection of sampling strategies,…

Computer Vision and Pattern Recognition · Computer Science 2023-04-12 Q. Liu , X. Yang

Ranking the spreading influence of nodes is of great importance in practice and research. The key to ranking a node's spreading ability is to evaluate the fraction of susceptible nodes been infected by the target node during the outbreak,…

Physics and Society · Physics 2023-02-22 Jian-Hong Lin , Zhao Yang , Jian-Guo Liu , Bo-Lun Chen , Claudio J. Tessone

Many public health interventions are conducted in settings where individuals are connected to one another and the intervention assigned to randomly selected individuals may spill over to other individuals they are connected to. In these…

Methodology · Statistics 2026-01-14 Junhan Fang , Donna Spiegelman , Ashley Buchanan , Laura Forastiere

This work is concerned with the estimation of hard-to-reach population sizes using a single respondent-driven sampling (RDS) survey, a variant of chain-referral sampling that leverages social relationships to reach members of a hidden…

Consider a researcher estimating the parameters of a regression function based on data for all 50 states in the United States or on data for all visits to a website. What is the interpretation of the estimated parameters and the standard…

Statistics Theory · Mathematics 2019-06-25 Alberto Abadie , Susan Athey , Guido W. Imbens , Jeffrey M. Wooldridge

This paper investigates a change-point estimation problem in the context of high-dimensional Markov Random Field models. Change-points represent a key feature in many dynamically evolving network structures. The change-point estimate is…

Methodology · Statistics 2018-02-13 Sandipan Roy , Yves Atchade , George Michailidis

Markov chain Monte Carlo is a class of algorithms for drawing Markovian samples from high-dimensional target densities to approximate the numerical integration associated with computing statistical expectation, especially in Bayesian…

Computation · Statistics 2018-03-28 Khoa T. Tran

In this paper, we introduce a novel, general purpose, technique for faster sampling of nodes over an online social network. Specifically, unlike traditional random walk which wait for the convergence of sampling distribution to a…

Social and Information Networks · Computer Science 2014-11-04 Azade Nazi , Zhuojie Zhou , Saravanan Thirumuruganathan , Nan Zhang , Gautam Das

Random networks are a powerful tool in the analytical modeling of complex networks as they allow us to write approximate mathematical models for diverse properties and behaviors of networks. One notable shortcoming of these models is that…

Physics and Society · Physics 2023-07-10 Laurent Hébert-Dufresne , Márton Pósfai , Antoine Allard

Analysis of social networks with limited data access is challenging for third parties. To address this challenge, a number of studies have developed algorithms that estimate properties of social networks via a simple random walk. However,…

Social and Information Networks · Computer Science 2023-05-23 Kazuki Nakajima , Kazuyuki Shudo

We consider a general statistical estimation problem wherein binary labels across different observations are not independent conditioned on their feature vectors, but dependent, capturing settings where e.g. these observations are collected…

Machine Learning · Computer Science 2021-07-22 Yuval Dagan , Constantinos Daskalakis , Nishanth Dikkala , Surbhi Goel , Anthimos Vardis Kandiros
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