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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…

人机交互 · 计算机科学 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…

统计理论 · 数学 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…

机器学习 · 计算机科学 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…

统计理论 · 数学 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…

统计方法学 · 统计学 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…

统计方法学 · 统计学 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…

空间物理 · 物理学 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…

概率论 · 数学 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…

统计方法学 · 统计学 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…

物理与社会 · 物理学 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…

统计理论 · 数学 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…

统计理论 · 数学 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…

统计方法学 · 统计学 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.,…

物理与社会 · 物理学 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…

统计理论 · 数学 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…

信息论 · 计算机科学 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…

数据分析、统计与概率 · 物理学 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…

量子物理 · 物理学 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…

数据库 · 计算机科学 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…

统计方法学 · 统计学 2025-02-18 Wenqin Du , Bailey K. Fosdick , Wen Zhou