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Algorithms are increasingly used to aid with high-stakes decision making. Yet, their predictive ability frequently exhibits systematic variation across population subgroups. To assess the trade-off between fairness and accuracy using finite…

Econometrics · Economics 2025-06-17 Yiqi Liu , Francesca Molinari

The problem of efficiently computing the betweenness centrality of nodes has been researched extensively. To date, the best known exact and centralized algorithm for this task is an algorithm proposed in 2001 by Brandes. The contribution of…

Data Structures and Algorithms · Computer Science 2015-06-05 Dora Erdos , Vatche Ishakian , Azer Bestavros , Evimaria Terzi

Graph modification problems with the goal of optimizing some measure of a given node's network position have a rich history in the algorithms literature. Less commonly explored are modification problems with the goal of equalizing…

Data Structures and Algorithms · Computer Science 2025-05-12 Alex Crane , Sorelle A. Friedler , Mihir Patel , Blair D. Sullivan

The Heuristic Ratio Estimation (HRE) approach proposes a new way of using the pairwise comparisons matrix. It allows the assumption that the weights of some alternatives (herein referred to as concepts) are known and fixed, hence the weight…

Discrete Mathematics · Computer Science 2015-09-25 Konrad Kułakowski

The evaluation of the minimum distance of linear block codes remains an open problem in coding theory, and it is not easy to determine its true value by classical methods, for this reason the problem has been solved in the literature with…

Information Theory · Computer Science 2013-03-19 Mohamed Askali , Ahmed Azouaoui , Saïd Nouh , Mostafa Belkasmi

Computing the marginal likelihood or evidence is one of the core challenges in Bayesian analysis. While there are many established methods for estimating this quantity, they predominantly rely on using a large number of posterior samples…

Computation · Statistics 2021-02-26 Eric Chuu , Debdeep Pati , Anirban Bhattacharya

Betweenness centrality has been extensively studied since its introduction in 1977 as a measure of node importance in graphs. This measure has found use in various applications and has been extended to temporal graphs with time-labeled…

Data Structures and Algorithms · Computer Science 2024-02-13 Mehdi Naima

Computing classical centrality measures such as betweenness and closeness is computationally expensive on large-scale graphs. In this work, we introduce an efficient force layout algorithm that embeds a graph into a low-dimensional space,…

Social and Information Networks · Computer Science 2026-04-29 Alexander Kolpakov , Igor Rivin

In this work we present PercIS, an algorithm based on Importance Sampling to approximate the percolation centrality of all the nodes of a graph. Percolation centrality is a generalization of betweenness centrality to attributed graphs, and…

Social and Information Networks · Computer Science 2025-09-16 Antonio Cruciani , Leonardo Pellegrina

In this work we investigate the problem of estimating the percolation centrality of every vertex in a graph. This centrality measure quantifies the importance of each vertex in a graph going through a contagious process. It is an open…

Data Structures and Algorithms · Computer Science 2020-02-18 Alane M. de Lima , Murilo V. G. da Silva , André L. Vignatti

The shortest-path distance is a fundamental concept in graph analytics and has been extensively studied in the literature. In many real-world applications, quality constraints are naturally associated with edges in the graphs and finding…

Databases · Computer Science 2022-11-17 You Peng , Zhuo Ma , Wenjie Zhang , Xuemin Lin , Ying Zhang , Xiaoshuang Chen

The visibility algorithm has been recently introduced as a mapping between time series and complex networks. This procedure allows to apply methods of complex network theory for characterizing time series. In this work we present the…

Data Analysis, Statistics and Probability · Physics 2010-02-25 Bartolo Luque , Lucas Lacasa , Fernando Ballesteros , Jordi Luque

We introduce an algorithm for estimating the entropy of pairwise, probabilistic graph models by leveraging bridges between social communities and an accurate entropy estimator on sparse samples. We propose using a measure of investment from…

Computational Physics · Physics 2023-01-13 Edward D. Lee

Computing the diameter of a graph is a problem of great interest both in general algorithms research and specifically within fine-grained complexity, where it is a cornerstone hard problem. Recent work has achieved a full conditional lower…

Data Structures and Algorithms · Computer Science 2026-05-01 Yael Kirkpatrick , Liam Roditty , Richard Qi , Virginia Vassilevska Williams

A geometric graph is a combinatorial graph, endowed with a geometry that is inherited from its embedding in a Euclidean space. Formulation of a meaningful measure of (dis-)similarity in both the combinatorial and geometric structures of two…

Computational Geometry · Computer Science 2022-09-27 Sushovan Majhi , Carola Wenk

The computation of the distance of two time series is time-consuming for any elastic distance function that accounts for misalignments. Among those functions, DTW is the most prominent. However, a recent extensive evaluation has shown that…

Data Structures and Algorithms · Computer Science 2023-04-21 Jana Holznigenkemper , Christian Komusiewicz , Bernhard Seeger

Consider a set of terminal nodes K that belong to a network whose nodes are connected by links that fail independently with known probabilities. We introduce a method for estimating any performability measure that depends on the hop…

Networking and Internet Architecture · Computer Science 2013-03-22 Pablo Sartor , Franco Robledo

Graph similarity computation is one of the core operations in many graph-based applications, such as graph similarity search, graph database analysis, graph clustering, etc. Since computing the exact distance/similarity between two graphs…

Machine Learning · Computer Science 2021-05-18 Yunsheng Bai , Hao Ding , Yizhou Sun , Wei Wang

There are several centrality measures that have been introduced and studied for real world networks. They account for the different vertex characteristics that permit them to be ranked in order of importance in the network. Betweenness…

Combinatorics · Mathematics 2014-03-20 Sunil Kumar R , Kannan Balakrishnan , M. Jathavedan

In this article we consider the graph alignment problem from the perspective of high-dimensional statistics: we aim to estimate an unknown permutation $\pi^*$ from the observation of two correlated random adjacency matrices $A_1$, $A_2$. We…

Probability · Mathematics 2025-10-30 Laurent Massoulié