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Understanding the correlation between two different scores for the same set of items is a common problem in information retrieval, and the most commonly used statistics that quantifies this correlation is Kendall's $\tau$. However, the…

Social and Information Networks · Computer Science 2014-11-03 Sebastiano Vigna

Ranked data is commonly used in research across many fields of study including medicine, biology, psychology, and economics. One common statistic used for analyzing ranked data is Kendall's {\tau} coefficient, a non-parametric measure of…

Methodology · Statistics 2023-09-04 Nicholas D. Edwards , Enzo de Jong , Stephen T. Ferguson

Given a set of people and a set of events they attend, we address the problem of measuring connectedness or tie strength between each pair of persons given that attendance at mutual events gives an implicit social network between people. We…

Social and Information Networks · Computer Science 2011-12-14 Mangesh Gupte , Tina Eliassi-Rad

We consider a Kendall's tau measure between a binary group indicator and the continuous variable under investigation to develop a thorough two-sample comparison procedure. The measure serves as a useful alternative to the hazard ratio whose…

Temporal information has been the focus of recent attention in information extraction, leading to some standardization effort, in particular for the task of relating events in a text. This task raises the problem of comparing two…

Computation and Language · Computer Science 2014-01-17 Xavier Tannier , Philippe Muller

Consider each node of a graph to be generating a data stream that is synchronized and observed at near real-time. At a change-point $\tau$, a change occurs at a subset of nodes $C$, which affects the probability distribution of their…

Machine Learning · Statistics 2023-01-13 Alejandro de la Concha , Argyris Kalogeratos , Nicolas Vayatis

We introduce a correlation coefficient that is designed to deal with a variety of ranking formats including those containing non-strict (i.e., with-ties) and incomplete (i.e., unknown) preferences. The correlation coefficient is designed to…

Applications · Statistics 2019-02-19 Yeawon Yoo , Adolfo R. Escobedo , J. Kyle Skolfield

In this article, we revisit and expand our prior work on graph similarity. As with our earlier work, we focus on a view of similarity which does not require node correspondence between graphs under comparison. Our work is suited to the…

Discrete Mathematics · Computer Science 2025-12-10 Pierre Miasnikof , Alexander Y. Shetopaloff

Conditional Kendall's tau is a measure of dependence between two random variables, conditionally on some covariates. We assume a regression-type relationship between conditional Kendall's tau and some covariates, in a parametric setting…

Statistics Theory · Mathematics 2018-11-21 Alexis Derumigny , Jean-David Fermanian

This paper introduces a new framework for recovering causal graphs from observational data, leveraging the observation that the distribution of an effect, conditioned on its causes, remains invariant to changes in the prior distribution of…

Machine Learning · Computer Science 2026-02-04 Nang Hung Nguyen , Phi Le Nguyen , Thao Nguyen Truong , Trong Nghia Hoang , Masashi Sugiyama

Multiple metrics have been developed to detect causality relations between data describing the elements constituting complex systems, all of them considering their evolution through time. Here we propose a metric able to detect causality…

Data Analysis, Statistics and Probability · Physics 2016-05-20 Massimiliano Zanin

Processes such as disease propagation and information diffusion often spread over some latent network structure which must be learned from observation. Given a set of unlabeled training examples representing occurrences of an event type of…

Machine Learning · Statistics 2017-01-09 Sriram Somanchi , Daniel B. Neill

Introduced the quantitative measure of the structural complexity of the graph (complex network, etc.) based on a procedure similar to the renormalization process, considering the difference between actual and averaged graph structures on…

Physics and Society · Physics 2024-06-05 A. A. Snarskii

Graphs are now ubiquitous in almost every field of research. Recently, new research areas devoted to the analysis of graphs and data associated to their vertices have emerged. Focusing on dynamical processes, we propose a fast, robust and…

Social and Information Networks · Computer Science 2016-02-02 Kirell Benzi , Benjamin Ricaud , Pierre Vandergheynst

Recent advances in data collection and storage have allowed both researchers and industry alike to collect data in real time. Much of this data comes in the form of 'events', or timestamped interactions, such as email and social media…

Social and Information Networks · Computer Science 2019-08-29 Andrew Mellor

Temporal graph learning aims to generate high-quality representations for graph-based tasks with dynamic information, which has recently garnered increasing attention. In contrast to static graphs, temporal graphs are typically organized as…

Machine Learning · Computer Science 2024-04-30 Meng Liu , Ke Liang , Yawei Zhao , Wenxuan Tu , Sihang Zhou , Xinbiao Gan , Xinwang Liu , Kunlun He

Event detection is a critical task for timely decision-making in graph analytics applications. Despite the recent progress towards deep learning on graphs, event detection on dynamic graphs presents particular challenges to existing…

Machine Learning · Computer Science 2023-02-15 Mert Kosan , Arlei Silva , Sourav Medya , Brian Uzzi , Ambuj Singh

Temporal graphs have become an essential tool for analyzing complex dynamic systems with multiple agents. Detecting anomalies in temporal graphs is crucial for various applications, including identifying emerging trends, monitoring network…

Social and Information Networks · Computer Science 2023-07-12 Teddy Lazebnik , Or Iny

We introduce, and analyze, three measures for degree-degree dependencies, also called degree assortativity, in directed random graphs, based on Spearman's rho and Kendall's tau. We proof statistical consistency of these measures in general…

Probability · Mathematics 2014-10-31 Pim van der Hoorn , Nelly Litvak

We address the challenge of inferring causal effects in social network data. This results in challenges due to interference -- where a unit's outcome is affected by neighbors' treatments -- and network-induced confounding factors. While…

Machine Learning · Computer Science 2026-02-20 Seyedeh Baharan Khatami , Harsh Parikh , Haowei Chen , Sudeepa Roy , Babak Salimi
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