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A key element to understand complex systems is the relationship between the spatial scale of investigation and the structure of the interrelation among its elements. When it comes to economic systems, it is now well-known that the…

Physics and Society · Physics 2022-02-07 Dario Laudati , Manuel S. Mariani , Luciano Pietronero , Andrea Zaccaria

We describe the problem of aggregating the label predictions of diverse classifiers using a class taxonomy. Such a taxonomy may not have been available or referenced when the individual classifiers were designed and trained, yet mapping the…

Artificial Intelligence · Computer Science 2015-12-02 Amrita Saha , Sathish Indurthi , Shantanu Godbole , Subendhu Rongali , Vikas C. Raykar

We design and analyze a multi-level game-theoretic model of hierarchical policy interventions for epidemic control, such as those in response to the COVID-19 pandemic. Our model captures the potentially mismatched priorities among a…

Computer Science and Game Theory · Computer Science 2022-08-05 Feiran Jia , Aditya Mate , Zun Li , Shahin Jabbari , Mithun Chakraborty , Milind Tambe , Michael Wellman , Yevgeniy Vorobeychik

A novel formalism, called H-theory, is applied to the problem of statistical equilibrium of a hierarchical complex system with multiple time and length scales. In this approach, the system is formally treated as being composed of a small…

Statistical Mechanics · Physics 2019-05-06 Giovani L. Vasconcelos , Domingos S. P. Salazar , A. M. S. Macêdo

Hierarchical clustering is a popular unsupervised data analysis method. For many real-world applications, we would like to exploit prior information about the data that imposes constraints on the clustering hierarchy, and is not captured by…

Data Structures and Algorithms · Computer Science 2018-07-17 Vaggos Chatziafratis , Rad Niazadeh , Moses Charikar

This study addresses the persistent challenges of Workplace Gender Equality (WGE) in Indonesia, examining regional disparities in gender empowerment and inequality through the Gender Empowerment Index (IDG) and Gender Inequality Index…

Computers and Society · Computer Science 2024-12-03 J. S. Muthmaina

There has been much recent work on multiwinner voting systems. However, sometimes a committee is highly structured, and if we want to vote for such a committee, our voting method should be more structured as well. We consider committees…

Computer Science and Game Theory · Computer Science 2022-11-14 Karl-Dieter Crisman

Regression Discontinuity Design (RDD) is a popular framework for estimating a causal effect in settings where treatment is assigned if an observed covariate exceeds a fixed threshold. We consider estimation and inference in the common…

Statistics Theory · Mathematics 2025-04-16 Kevin Tao , Y. Samuel Wang , David Ruppert

We study in details the turnout rate statistics for 77 elections in 11 different countries. We show that the empirical results established in a previous paper for French elections appear to hold much more generally. We find in particular…

Physics and Society · Physics 2015-06-03 Christian Borghesi , Jean-Claude Raynal , Jean-Philippe Bouchaud

Quantifying the spatial organization of human settlements is fundamental to understanding the complexity of urban systems. However, the quantitative patterns of the distribution of villages, towns, and cities that lie between random and…

Physics and Society · Physics 2023-07-06 Lei Dong

Many real-world complex systems consist of a set of elementary units connected by relationships of different kinds. All such systems are better described in terms of multiplex networks, where the links at each layer represent a different…

Physics and Society · Physics 2014-03-17 Federico Battiston , Vincenzo Nicosia , Vito Latora

Political polarization can be beneficial to competing political parties. I study how electoral competition itself generates incentives to polarize voters, even when parties are ex ante identical and motivated purely by political power,…

General Economics · Economics 2026-02-02 Giampaolo Bonomi

In probability theory and statistics, the IID model represents a single population, and a large, potentially infinite sample from this population. Main theorems, in particular the central limit theorem and laws of large number (LLN) assure…

Statistics Theory · Mathematics 2017-10-02 Uwe Saint-Mont

We show that an embedding in Euclidean space based on tropical geometry generates stable sufficient statistics for barcodes. In topological data analysis, barcodes are multiscale summaries of algebraic topological characteristics that…

Statistics Theory · Mathematics 2019-07-02 Anthea Monod , Sara Kališnik , Juan Ángel Patiño-Galindo , Lorin Crawford

On the basis of a formula for calculating seat shares and natural thresholds in multidistrict elections under the Jefferson-D'Hondt system and a probabilistic model of electoral behavior based on P\'{o}lya's urn model, we propose a new…

Physics and Society · Physics 2019-09-27 Daria Boratyn , Jarosław Flis , Wojciech Słomczyński , Dariusz Stolicki

The concept of hierarchy in complex systems is tightly linked to co-evolutionary processes. We propose here to explore it in the case of the co-evolution between transportation networks and territories. More precisely, we extend a…

Physics and Society · Physics 2020-02-03 Juste Raimbault

The hierarchical topology is a common property of many complex systems. Here we introduce a simple but generic model of hierarchy growth from the bottom to the top. Therein, two dynamical processes are accounted for: agent's promotions to…

Physics and Society · Physics 2025-03-06 Agnieszka Czaplicka , Janusz A. Hołyst

Understanding politics is challenging because the politics take the influence from everything. Even we limit ourselves to the political context in the legislative processes; we need a better understanding of latent factors, such as…

Social and Information Networks · Computer Science 2019-04-29 Kyungwoo Song , Wonsung Lee , Il-Chul Moon

We introduce hierarchical neighbor graphs, a new architecture for connecting ad hoc wireless nodes distributed in a plane. The structure has the flavor of hierarchical clustering and requires only local knowledge and minimal computation at…

Networking and Internet Architecture · Computer Science 2015-09-30 Amitabha Bagchi , Adit Madan , Achal Premi

We propose a unified modelling framework that theoretically justifies the main empirical regularities characterizing the international trade network. Each country is associated to a Polya urn whose composition controls the propensity of the…

Physics and Society · Physics 2016-01-14 Stefano Peluso , Antonietta Mira , Pietro Muliere , Alessandro Lomi