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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)…

Statistical Mechanics · Physics 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…

Computers and Society · Computer Science 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…

Computers and Society · Computer Science 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…

Physics and Society · Physics 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…

Applications · Statistics 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…

Artificial Intelligence · Computer Science 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…

Computers and Society · Computer Science 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…

Computer Science and Game Theory · Computer Science 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…

Computational Physics · Physics 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…

Mathematical Physics · Physics 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…

Computer Science and Game Theory · Computer Science 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…

Econometrics · Economics 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…

Social and Information Networks · Computer Science 2021-12-01 Jan Voltaire Vergara , Maria Y. Rodriguez , Ehren Dohler , Jonathan Phillips , Melissa Villodas , Amy Blank Wilson , Kenneth Joseph

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…

Machine Learning · Statistics 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…

Computers and Society · Computer Science 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…

Methodology · Statistics 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…

Computation and Language · Computer Science 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…

Physics and Society · Physics 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…

Computer Science and Game Theory · Computer Science 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…

Other Condensed Matter · Physics 2007-05-23 Menghui Li , Ying Fan , Jiawei Chen , Liang Gao , Zengru Di , Jinshan Wu
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