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The purpose of this article is to introduce a new iterative algorithm with properties resembling real life bipartite graphs. The algorithm enables us to generate wide range of random bigraphs, which features are determined by a set of…

Artificial Intelligence · Computer Science 2010-11-03 Szymon Chojnacki , Mieczysław Kłopotek

We consider the problem of learning the weighted edges of a balanced mixture of two undirected graphs from epidemic cascades. While mixture models are popular modeling tools, algorithmic development with rigorous guarantees has lagged.…

Social and Information Networks · Computer Science 2020-01-30 Jessica Hoffmann , Soumya Basu , Surbhi Goel , Constantine Caramanis

We recently introduced a formalism for the modeling of temporal networks, that we call stream graphs. It emphasizes the streaming nature of data and allows rigorous definitions of many important concepts generalizing classical graphs. This…

Social and Information Networks · Computer Science 2021-11-24 Matthieu Latapy , Clémence Magnien , Tiphaine Viard

A general rate estimation method is proposed that is based on studying the in-sample evolution of appropriately chosen diverging/converging statistics. The proposed rate estimators are based on simple least squares arguments, and are shown…

Statistics Theory · Mathematics 2009-09-29 Tucker McElroy , Dimitris N. Politis

We prove the tightest-known upper bounds on the sample complexity of multi-group learning. Our algorithm extends the one-inclusion graph prediction strategy using a generalization of bipartite $b$-matching. In the group-realizable setting,…

Machine Learning · Computer Science 2026-04-10 Noah Bergam , Samuel Deng , Daniel Hsu

Classification of high dimensional data finds wide-ranging applications. In many of these applications equipping the resulting classification with a measure of uncertainty may be as important as the classification itself. In this paper we…

Machine Learning · Computer Science 2018-02-12 Andrea L. Bertozzi , Xiyang Luo , Andrew M. Stuart , Konstantinos C. Zygalakis

Split-plot designs find wide applicability in multifactor experiments with randomization restrictions. Practical considerations often warrant the use of unbalanced designs. This paper investigates randomization based causal inference in…

Methodology · Statistics 2019-06-21 Rahul Mukerjee , Tirthankar Dasgupta

To take sample biases and skewness in the observations into account, practitioners frequently weight their observations according to some marginal distribution. The present paper demonstrates that such weighting can indeed improve the…

Methodology · Statistics 2018-11-05 Tobias Niebuhr , Mathias Trabs

Causal inference with observational studies often relies on the assumptions of unconfoundedness and overlap of covariate distributions in different treatment groups. The overlap assumption is violated when some units have propensity scores…

Methodology · Statistics 2022-07-19 Shu Yang , Peng Ding

Bidirected graphs are multigraphs where every edge has an independent direction at each end. In the paper, with an arbitrary bidirected graph we associate a non-negative integral quadratic form (called the incidence form of the graph), and…

Combinatorics · Mathematics 2024-07-09 Jesús Arturo Jiménez González , Andrzej Mróz

We propose a novel method for topological analysis of unweighted graphs which is based on \textit{persistent homology}. The proposed method maps the input graph to a complete weighted graph where the weighting function maps each edge to a…

Algebraic Topology · Mathematics 2020-07-31 Padraig Corcoran

The cross-classified sampling design consists in drawing samples from a two-dimension population, independently in each dimension. Such design is commonly used in consumer price index surveys and has been recently applied to draw a sample…

Statistics Theory · Mathematics 2015-11-23 Hélène Juillard , Guillaume Chauvet , Anne Ruiz-Gazen

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…

Physics and Society · Physics 2010-04-14 Charo I. Del Genio , Hyunju Kim , Zoltan Toroczkai , Kevin E. Bassler

It appeared recently that the classical random graph model used to represent real-world complex networks does not capture their main properties. Since then, various attempts have been made to provide accurate models. We study here a model…

Statistical Mechanics · Physics 2021-03-22 Jean-Loup Guillaume , Matthieu Latapy

Random samples are lossy summaries which allow queries posed over the data to be approximated by applying an appropriate estimator to the sample. The effectiveness of sampling, however, hinges on estimator selection. The choice of…

Statistics Theory · Mathematics 2014-04-10 Edith Cohen

Scene graph generation is an important visual understanding task with a broad range of vision applications. Despite recent tremendous progress, it remains challenging due to the intrinsic long-tailed class distribution and large intra-class…

Computer Vision and Pattern Recognition · Computer Science 2021-04-30 Rongjie Li , Songyang Zhang , Bo Wan , Xuming He

The Horvitz-Thompson (H-T) estimator is widely used for estimating network causal effects. We study its optimality properties by embedding it in the class of all linear estimators. We show that, under any form of interference, the H-T…

Statistics Theory · Mathematics 2025-11-25 Vishesh Karwa , Edoardo M. Airoldi

Many data types arising from data mining applications can be modeled as bipartite graphs, examples include terms and documents in a text corpus, customers and purchasing items in market basket analysis and reviewers and movies in a movie…

Information Retrieval · Computer Science 2007-05-23 H. Zha , X. He , C. Ding , M. Gu , H. Simon

It was recently shown \cite{STV} that satisfiability is polynomially solvable when the incidence graph is an interval bipartite graph (an interval graph turned into a bipartite graph by omitting all edges within each partite set). Here we…

Data Structures and Algorithms · Computer Science 2016-02-26 Serge Gaspers , Christos Papadimitriou , Sigve Hortemo Saether , Jan Arne Telle

This work presents a model that allows the study of research specialties through the manifestations of the specialty's social and epistemological processes in a collection of journal papers. Collections of papers are modeled as coupled…

Physics and Society · Physics 2007-05-23 Steven. A. Morris , Gary G. Yen