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This work introduces a complexity measure which addresses some conflicting issues between existing ones by using a new principle - measuring the average amount of symmetry broken by an object. It attributes low (although different)…

统计力学 · 物理学 2015-03-26 Roberto C. Alamino

This paper is to obtain a simple dividing-diagram of the congressional districts, where the only limit is that each district should contain the same population if possibly. In order to solve this problem, we introduce three different…

计算机与社会 · 计算机科学 2007-08-17 Pan Kai , Tan Yue , Jiang Sheng

Partisan gerrymandering poses a threat to democracy. Moreover, the complexity of the districting task may exceed human capacities. One potential solution is using computational models to automate the districting process by optimizing…

计算机与社会 · 计算机科学 2020-06-30 Olivia Guest , Frank J. Kanayet , Bradley C. Love

Knowing which parts of a complex system have identical roles simplifies computations and reveals patterns in its network structure. Group theory has been applied to study symmetries in unweighted networks. However, in real-world weighted…

物理与社会 · 物理学 2025-06-16 Julia Korol , Mateusz Iskrzyński

Partisan gerrymandering, i.e., manipulation of electoral district boundaries for political advantage, is one of the major challenges to election integrity in modern day democracies. Yet most of the existing methods for detecting partisan…

应用统计 · 统计学 2023-06-06 Wojciech Słomczyński , Dariusz Stolicki , Stanisław Szufa

The electrocardiogram (ECG) is a cost-effective, highly accessible and widely employed diagnostic tool. With the advent of Foundation Models (FMs), the field of AI-assisted ECG interpretation has begun to evolve, as they enable model reuse…

人工智能 · 计算机科学 2026-01-30 Francesca Filice , Edoardo De Rose , Simone Bartucci , Francesco Calimeri , Simona Perri

Gerrymandering is a pervasive problem within the US political system. In the past decade, methods based on Markov Chain Monte Carlo (MCMC) sampling and statistical outlier tests have been proposed to quantify gerrymandering and were used as…

计算机与社会 · 计算机科学 2025-01-13 Ranthony A. Clark , Susan Glenn , Harlin Lee , Soledad Villar

Apportionment is the task of assigning resources to entities with different entitlements in a fair manner, and specifically a manner that is as proportional as possible. The best-known application is the assignment of parliamentary seats to…

计算机科学与博弈论 · 计算机科学 2025-10-14 Julian Chingoma , Ulle Endriss , Ronald de Haan , Adrian Haret , Jan Maly

The weighted ensemble (WE) method, an enhanced sampling approach based on periodically replicating and pruning trajectories in a set of parallel simulations, has grown increasingly popular for computational biochemistry problems, due in…

计算物理 · 物理学 2023-06-23 D. Aristoff , J. Copperman , G. Simpson , R. J. Webber , D. M. Zuckerman

In two recent articles we have examined a generalization of the binomial distribution associated with a sequence of positive numbers, involving asymmetric expressions of probabilities that break the symmetry {\it win-loss}. We present in…

数学物理 · 物理学 2015-06-17 H. Bergeron , E. M. F. Curado , J. P. Gazeau , Ligia M. C. S. Rodrigues

Several resource allocation settings involve agents with unequal entitlements represented by weights. We analyze weighted fair division from an asymptotic perspective: if $m$ items are divided among $n$ agents whose utilities are…

计算机科学与博弈论 · 计算机科学 2025-09-16 Pasin Manurangsi , Warut Suksompong , Tomohiko Yokoyama

Classical measures of inequality use the mean as the benchmark of economic dispersion. They are not sensitive to inequality at the left tail of the distribution, where it would matter most. This paper presents a new inequality measurement…

计量经济学 · 经济学 2022-09-13 Mario Schlemmer

Gentrification and its resultant displacement are one of the many "wicked problems" of social policy. The study of gentrification and displacement spans half a century, concerns a variety of spatial, temporal, and social contexts, and…

When analyzing weighted networks using spectral embedding, a judicious transformation of the edge weights may produce better results. To formalize this idea, we consider the asymptotic behavior of spectral embedding for different…

机器学习 · 统计学 2023-01-23 Ian Gallagher , Andrew Jones , Anna Bertiger , Carey Priebe , Patrick Rubin-Delanchy

Search Engines (SE) have been shown to perpetuate well-known gender stereotypes identified in psychology literature and to influence users accordingly. Similar biases were found encoded in Word Embeddings (WEs) learned from large online…

计算机与社会 · 计算机科学 2020-09-04 Alessandro Fabris , Alberto Purpura , Gianmaria Silvello , Gian Antonio Susto

Given a random sample of observations, mixtures of normal densities are often used to estimate the unknown continuous distribution from which the data come. Here we propose the use of this semiparametric framework for testing symmetry about…

统计方法学 · 统计学 2012-04-23 Silvia Bacci , Francesco Bartolucci

Representation Learning of words and Knowledge Graphs (KG) into low dimensional vector spaces along with its applications to many real-world scenarios have recently gained momentum. In order to make use of multiple KG embeddings for…

计算与语言 · 计算机科学 2020-04-16 Russa Biswas , Mehwish Alam , Harald Sack

We introduce simulated packing and cracking as a technique for evaluating partisan-gerrymandering measures. We apply it to historical congressional and legislative elections to evaluate four measures: partisan bias, declination, efficiency…

物理与社会 · 物理学 2021-02-03 Jeffrey S. Buzas , Gregory S. Warrington

Issue salience is a major determinant in voters' decisions. Candidates and political parties campaign to shift salience to their advantage - a process termed priming. We study the dynamics, strategies and equilibria of campaign spending for…

计算机科学与博弈论 · 计算机科学 2024-12-30 Jonathan Shaki , Yonatan Aumann , Sarit Kraus

In order to take the weight of connection into consideration and to find a natural measurement of weight, we have collected papers in Econophysics and constructed a network of scientific communication to integrate idea transportation among…

其他凝聚态物理 · 物理学 2007-05-23 Menghui Li , Ying Fan , Jiawei Chen , Liang Gao , Zengru Di , Jinshan Wu