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Random geometric graphs are widely used in modeling geometry and dependence structure in networks. In a random geometric graph, nodes are independently generated from some probability distribution $F$ over a metric space, and edges link…

统计方法学 · 统计学 2025-10-17 Mingao Yuan

We introduce Clique Matrices as an alternative representation of undirected graphs, being a generalisation of the incidence matrix representation. Here we use clique matrices to decompose a graph into a set of possibly overlapping clusters,…

离散数学 · 计算机科学 2012-06-18 David Barber

We study causal inference under case-control and case-population sampling. Specifically, we focus on the binary-outcome and binary-treatment case, where the parameters of interest are causal relative and attributable risks defined via the…

计量经济学 · 经济学 2023-10-24 Sung Jae Jun , Sokbae Lee

In settings where interference between units is possible, we define the prevalence of indirect effects to be the number of units who are affected by the treatment of others. This quantity does not fully identify an indirect effect, but may…

统计方法学 · 统计学 2024-01-18 David Choi

Recently, Daligault, Rao and Thomass\'e asked in [3] if every hereditary class which is well-quasi-ordered by the induced subgraph relation is of bounded clique-width. There are two reasons why this questions is interesting. First, it…

组合数学 · 数学 2015-08-26 Aistis Atminas , Vadim V. Lozin , Igor Razgon

Randomization tests are based on a re-randomization of existing data to gain data-dependent critical values that lead to exact hypothesis tests under special circumstances. However, it is not always possible to re-randomize data in…

统计理论 · 数学 2021-10-20 Dennis Dobler

We investigate the generalizability of learned binary relations: functions that map pairs of instances to a logical indicator. This problem has application in numerous areas of machine learning, such as ranking, entity resolution and link…

机器学习 · 计算机科学 2013-06-04 Ben London , Bert Huang , Lise Getoor

Two-stage randomized experiments are becoming an increasingly popular experimental design for causal inference when the outcome of one unit may be affected by the treatment assignments of other units in the same cluster. In this paper, we…

统计方法学 · 统计学 2022-10-21 Zhichao Jiang , Kosuke Imai , Anup Malani

Given data sampled from a number of variables, one is often interested in the underlying causal relationships in the form of a directed acyclic graph. In the general case, without interventions on some of the variables it is only possible…

机器学习 · 统计学 2017-12-05 Christopher Nowzohour , Peter Bühlmann

While deep neural networks have achieved great success in graph analysis, recent work has shown that they are vulnerable to adversarial attacks. Compared with adversarial attacks on image classification, performing adversarial attacks on…

机器学习 · 计算机科学 2022-07-26 Zhengyi Wang , Zhongkai Hao , Ziqiao Wang , Hang Su , Jun Zhu

Randomized experiments have become a cornerstone of evidence-based decision-making in contexts ranging from online platforms to public health. However, in experimental settings with network interference, a unit's treatment can influence…

机器学习 · 计算机科学 2025-10-22 Sadegh Shirani , Yuwei Luo , William Overman , Ruoxuan Xiong , Mohsen Bayati

This article explores and analyzes the unsupervised clustering of large partially observed graphs. We propose a scalable and provable randomized framework for clustering graphs generated from the stochastic block model. The clustering is…

社会与信息网络 · 计算机科学 2022-12-06 Mostafa Rahmani , Andre Beckus , Adel Karimian , George Atia

In 2007 we introduced a general model of sparse random graphs with independence between the edges. The aim of this paper is to present an extension of this model in which the edges are far from independent, and to prove several results…

概率论 · 数学 2011-05-05 Bela Bollobas , Svante Janson , Oliver Riordan

Current approaches to A/B testing in networks focus on limiting interference, the concern that treatment effects can "spill over" from treatment nodes to control nodes and lead to biased causal effect estimation. Prominent methods for…

机器学习 · 计算机科学 2020-04-16 Zahra Fatemi , Elena Zheleva

A basic feature of many field experiments is that investigators are only able to randomize clusters of individuals--such as households, communities, firms, medical practices, schools or classrooms--even when the individual is the unit of…

统计方法学 · 统计学 2009-10-21 Kosuke Imai , Gary King , Clayton Nall

In network tomography, one goal is to identify a small set of failed links in a network, by sending a few packets through the network and seeing which reach their destination. This problem can be seen as a variant of combinatorial group…

信息论 · 计算机科学 2018-09-12 Bruce Spang , Mary Wootters

There is a substantial literature on testing for the equality of the cumulative incidence functions associated with one specific cause in a competing risks setting across several populations against specific or all alternatives. In this…

统计理论 · 数学 2008-12-18 Hammou El Barmi , Subhash Kochar , Hari Mukerjee

Graphs are nowadays ubiquitous in the fields of signal processing and machine learning. As a tool used to express relationships between objects, graphs can be deployed to various ends: I) clustering of vertices, II) semi-supervised…

机器学习 · 计算机科学 2020-07-17 Carlos Lassance , Vincent Gripon , Gonzalo Mateos

We discuss a graph-based approach for testing spatial point patterns. This approach falls under the category of data-random graphs, which have been introduced and used for statistical pattern recognition in recent years. Our goal is to test…

统计方法学 · 统计学 2008-02-06 E. Ceyhan , C. E. Priebe , D. J. Marchette

Graph attention networks estimate the relational importance of node neighbors to aggregate relevant information over local neighborhoods for a prediction task. However, the inferred attentions are vulnerable to spurious correlations and…

机器学习 · 计算机科学 2023-03-02 Alexander P. Wu , Thomas Markovich , Bonnie Berger , Nils Hammerla , Rohit Singh