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We present an algorithm for classification tasks on big data. Experiments conducted as part of this study indicate that the algorithm can be as accurate as ensemble methods such as random forests or gradient boosted trees. Unlike ensemble…

Machine Learning · Statistics 2017-10-27 Rajiv Sambasivan , Sourish Das

We investigate optimization models for the purpose of computational redistricting. Our focus is on nonconvex objectives for estimating expected Black Representatives and Political Representation. The objectives are a composition of a ratio…

Optimization and Control · Mathematics 2026-02-25 Jamie Fravel , Robert Hildebrand , Nicholas Goedert , Laurel Travis , Matthew Pierson

American democracy is currently heavily reliant on plurality in single-member districts, or PSMD, as a system of election. But public perceptions of fairness are often keyed to partisan proportionality, or the degree of congruence between…

Computers and Society · Computer Science 2023-08-23 Moon Duchin , Gabe Schoenbach

Our main contribution is the introduction of the map of elections framework. A map of elections consists of three main elements: (1) a dataset of elections (i.e., collections of ordinal votes over given sets of candidates), (2) a way of…

Multiagent Systems · Computer Science 2024-07-17 Stanisław Szufa

Data-driven models based on deep learning algorithms intend to overcome the limitations of traditional constitutive modelling by directly learning from data. However, the need for extensive data that collate the full state of the material…

Materials Science · Physics 2023-12-27 Filippo Masi , Itai Einav

This article expands on the redistricting algorithm proposed by Chen and Rodden (2015) for states with fewer than eight congressional districts, populations highly concentrated in urban areas, or state laws that require preservation of…

Physics and Society · Physics 2025-08-11 Stefanie G. Wang , Nathaniel C. Merrill

Many democratic political parties hold primary elections, which nicely reflects their democratic nature and promote, among other things, the democratic value of inclusiveness. However, the methods currently used for holding such primary…

Multiagent Systems · Computer Science 2022-01-20 Ariel Rosenfeld , Ehud Shapiro , Nimrod Talmon

Why not have a computer just draw a map? This is something you hear a lot when people talk about gerrymandering, and it's easy to think at first that this could solve redistricting altogether. But there are more than a couple problems with…

Data Structures and Algorithms · Computer Science 2020-11-20 Amariah Becker , Justin Solomon

Semantic segmentation with Convolutional Neural Networks is a memory-intensive task due to the high spatial resolution of feature maps and output predictions. In this paper, we present Quadtree Generating Networks (QGNs), a novel approach…

Computer Vision and Pattern Recognition · Computer Science 2019-09-19 Kashyap Chitta , Jose M. Alvarez , Martial Hebert

In the computational study of political redistricting, feasibility necessitates the use of a discretization of regions such as states, counties, and towns. In nearly all cases, researchers use a dual graph, whose vertices represent small…

Discrete Mathematics · Computer Science 2026-04-08 Sara Anderson , Sarah Cannon , Brooke Feinberg , Anne Friedman

The model of population protocols provides a universal platform to study distributed processes driven by pairwise interactions of anonymous agents. While population protocols present an elegant and robust model for randomized distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-23 Adam Gańczorz , Leszek Gąsieniec , Tomasz Jurdziński , Jakub Kowalski , Grzegorz Stachowiak

We introduce a general framework for exploring the problem of selecting a committee of representatives with the aim of studying a networked voting rule based on a decentralized large-scale platform, which can assure a strong accountability…

Physics and Society · Physics 2018-01-17 Alexis R. Hernandez , Carlos Gracia-Lazaro , Edgardo Brigatti , Yamir Moreno

Recently, sparsity has become a key concept in various areas of applied mathematics, computer science, and electrical engineering. One application of this novel methodology is the separation of data, which is composed of two (or more)…

Numerical Analysis · Mathematics 2011-02-23 Gitta Kutyniok

In this work, we present data stream algorithms to compute optimal splits for decision tree learning. In particular, given a data stream of observations \(x_i\) and their corresponding labels \(y_i\), without the i.i.d. assumption, the…

Data Structures and Algorithms · Computer Science 2025-04-18 Huy Pham , Hoang Ta , Hoa T. Vu

Motivated by the problem of partisan gerrymandering, we introduce an electoral system for a representative democracy called democratic cellular voting, designed to make modern packing and cracking strategies irrelevant by allowing districts…

Physics and Society · Physics 2018-01-09 Lucius T. Schoenbaum

Distributed state estimation (DSE) is considered as a more robust and reliable alternative for centralized state estimation (CSE) in power system. Especially, taking into account the future power grid, so called smart grid in which…

Systems and Control · Electrical Eng. & Systems 2021-04-12 Sajjad Asefi , Elena Gryazina , Helder Leite

The map of elections framework is a methodology for visualizing and analyzing election datasets. So far, the framework was restricted to elections that have equal numbers of candidates, equal numbers of voters, and where all the (ordinal)…

Computer Science and Game Theory · Computer Science 2026-01-27 Piotr Faliszewski , Jitka Mertlová , Pierre Nunn , Stanisław Szufa , Tomasz Wąs

Distributed algorithms for solving coupled semidefinite programs (SDPs) commonly require many iterations to converge. They also put high computational demand on the computational agents. In this paper we show that in case the coupled…

Optimization and Control · Mathematics 2015-04-30 Sina Khoshfetrat Pakazad , Anders Hansson , Martin S. Andersen , Anders Rantzer

A special type of binomial splitting process is studied. Such a process can be used to model a high-dimensional corner parking problem, as well as the depth of random PATRICIA tries (a special class of digital tree data structures). The…

Probability · Mathematics 2013-11-27 Michael Fuchs , Hsien-Kuei Hwang , Yoshiaki Itoh , Hosam H. Mahmoud

We investigate the distribution of partisanship in a cross-section of ten diverse States to elucidate how votes translate into seats won and other metrics. Markov chain simulations taking into account partisanship distribution agree…

Physics and Society · Physics 2021-03-03 Constantine , Gonatas
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