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We present the first empirical evaluation of techniques for encoding distributions of quantitative edge values within adjacency matrices. In many real-world networks, edges represent not a single value but a set of measurements. While…

Human-Computer Interaction · Computer Science 2026-04-17 Jorge Acosta-Hernández , Alexander Lex , Tingying He

The extension of bivariate measures of dependence to non-Euclidean spaces is a challenging problem. The non-linear nature of these spaces makes the generalisation of classical measures of linear dependence (such as the covariance) not…

Statistics Theory · Mathematics 2024-10-10 Meshal Abuqrais , Davide Pigoli

Many learning problems require predicting how populations evolve under an unknown transformation. A natural representation for such populations is a probability measure, with point clouds as a key example. In this work, we study the…

Machine Learning · Computer Science 2026-05-28 Matthew Vandergrift , Martha White , Yury Polyanskiy , Philippe Rigollet , Lazar Atanackovic

Estimates based on 2x2 tables of frequencies are widely used in statistical applications. However, in many cases these tables are incomplete in the sense that the data required to compute the frequencies for a subset of the cells defining…

Statistics Theory · Mathematics 2018-08-31 Li-Chun Zhang , Raymond L. Chambers

Mantel's test (MT) for association is conducted by testing the linear relationship of similarity of all pairs of subjects between two observational domains. Motivated by applications to neuroimaging and genetics data, and following the…

Methodology · Statistics 2018-12-18 Dustin Pluta , Hernando Ombao , Chuansheng Chen , Gui Xue , Robert Moyzis , Zhaoxia Yu

We propose the use of a simple intuitive principle for measuring algorithmic classification bias: the significance of the differences in a classifier's error rates across the various demographics is inversely commensurate with the sample…

Methodology · Statistics 2026-01-08 Ioannis Ivrissimtzis , Shauna Concannon , Matthew Houliston , Graham Roberts

Using fully kinetic simulations, we study the x-line orientation of magnetic reconnection in an asymmetric configuration. A spatially localized perturbation is employed to induce a single x-line, that has sufficient freedom to choose its…

Space Physics · Physics 2015-11-04 Yi-Hsin Liu , Michael Hesse , Masha Kuznetsova

We study random graphs with latent geometric structure, where the probability of each edge depends on the underlying random positions corresponding to the two endpoints. We focus on the setting where this conditional probability is a…

Probability · Mathematics 2021-11-01 Suqi Liu , Miklos Z. Racz

We study the problem of detecting multiple change points in the mean vectors of an independent sequence of high-dimensional observations. We propose a family of ridge-regularized CUSUM statistics built upon the adaptable ridge-regularized…

Methodology · Statistics 2026-05-26 Haoran Li , Haotian Xu

Ordinal measures provide a valuable collection of tools for analyzing correlated data series. However, using these methods to understand the information interchange in networks of dynamical systems, and uncover the interplay between…

Physics and Society · Physics 2023-08-02 Juan A. Almendral , I. Leyva , Irene Sendiña-Nadal

In data science, it is often required to estimate dependencies between different data sources. These dependencies are typically calculated using Pearson's correlation, distance correlation, and/or mutual information. However, none of these…

Statistics Theory · Mathematics 2015-06-03 Rahul Agarwal , Pierre Sacre , Sridevi V. Sarma

We study the geometric structure of the statistical models for two-by-two contingency tables. One or two odds ratios are fixed and the corresponding models are shown to be a portion of a ruled quadratic surface or a segment. Some pointers…

Statistics Theory · Mathematics 2007-06-13 Enrico Carlini , Fabio Rapallo

We present a method for drawing isolines indicating regions of equal joint exceedance probability for bivariate data. The method relies on bivariate regular variation, a dependence framework widely used for extremes. This framework enables…

Methodology · Statistics 2017-10-17 Daniel Cooley , Emeric Thibaud , Federico Castillo , Michael F. Wehner

Existing centrality measures for social network analysis suggest the im-portance of an actor and give consideration to actor's given structural position in a network. These existing measures suggest specific attribute of an actor (i.e.,…

Physics and Society · Physics 2012-02-13 Alireza Abbasi , Liaquat Hossain

In this paper we consider nonparametric estimation for dependent data, where the observations do not necessarily come from a linear process. We study density estimation and also discuss associated problems in nonparametric regression using…

Statistics Theory · Mathematics 2007-06-28 Jan Johannes , Suhasini Subba Rao

We propose a framework to analyze and quantify the bias in adaptive data analysis. It generalizes that proposed by Russo and Zou'15, applying to measurements whose moment generating function exists, measurements with a finite $p$-norm, and…

Information Theory · Computer Science 2017-07-18 Jiantao Jiao , Yanjun Han , Tsachy Weissman

When network and graph theory are used in the study of complex systems, a typically finite set of nodes of the network under consideration is frequently either explicitly or implicitly considered representative of a much larger finite or…

Data Analysis, Statistics and Probability · Physics 2015-03-18 Jobst Heitzig , Jonathan F. Donges , Yong Zou , Norbert Marwan , Jürgen Kurths

The parameterized entanglement monotone, the $q$-concurrence, is also a reasonable parameterized entanglement measure. By exploring the properties of the $q$-concurrence with respect to the positive partial transposition and realignment of…

Quantum Physics · Physics 2022-06-17 Zhi-Wei Wei , Ming-Xing Luo , Shao-Ming Fei

Relational association rules reveal patterns hide in multiple tables. Existing rules are usually evaluated through two measures, namely support and confidence. However, these two measures may not be enough to describe the strength of a…

Databases · Computer Science 2016-01-29 Fan Min

Relational data characterized by directed edges with count measurements are common in social science. Most existing methods either assume the count edges are derived from continuous random variables or model the edge dependency by…

Methodology · Statistics 2025-02-18 Wenqin Du , Bailey K. Fosdick , Wen Zhou