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Convergence detection of iterative stochastic optimization methods is of great practical interest. This paper considers stochastic gradient descent (SGD) with a constant learning rate and momentum. We show that there exists a transient…

Machine Learning · Computer Science 2020-08-28 Jerry Chee , Ping Li

We developed a method for measuring the similarity between materials, focusing on specific physical properties. The obtained information can be utilized to understand the underlying mechanisms and to support the prediction of the physical…

We study mechanisms for candidate selection that seek to minimize the social cost, where voters and candidates are associated with points in some underlying metric space. The social cost of a candidate is the sum of its distances to each…

Computer Science and Game Theory · Computer Science 2015-12-29 Michal Feldman , Amos Fiat , Iddan Golomb

Symmetry is an important composition feature by investigating similar sides inside an image plane. It has a crucial effect to recognize man-made or nature objects within the universe. Recent symmetry detection approaches used a smoothing…

Computer Vision and Pattern Recognition · Computer Science 2017-04-24 Mohamed Elawady , Olivier Alata , Christophe Ducottet , Cecile Barat , Philippe Colantoni

The median voter theorem has long been the default model of voter behavior and candidate choice. While contemporary work on the distribution of political opinion has emphasized polarization and an increasing gap between the "left" and the…

Physics and Society · Physics 2021-03-25 Matthew I. Jones , Antonio D. Sirianni , Feng Fu

Predictions are often probabilities; e.g., a prediction could be for precipitation tomorrow, but with only a 30% chance. Given such probabilistic predictions together with the actual outcomes, "reliability diagrams" help detect and diagnose…

Statistics Theory · Mathematics 2022-11-15 Imanol Arrieta-Ibarra , Paman Gujral , Jonathan Tannen , Mark Tygert , Cherie Xu

State delegations are often chosen through single-member district elections, creating a tension between respecting district majorities and reflecting the statewide electorate. First-past-the-post (FPTP) follows each district's majority but…

Theoretical Economics · Economics 2026-02-16 Yunus C. Aybas , Oguzhan Celebi , Surabhi Dutt

Quantum steering is a kind of bipartite quantum correlations where one party's measurement remotely alters the state of another party. In an adversarial scenario, there could be a hidden variable introducing a bias in the choice of…

Quantum Physics · Physics 2024-06-21 Abhishek Sadhu , Siddhartha Das

With historic misses in the 2016 and 2020 US Presidential elections, interest in measuring polling errors has increased. The most common method for measuring directional errors and non-sampling excess variability during a postmortem for an…

Applications · Statistics 2023-02-21 Graham Tierney , Alexander Volfovsky

In this paper, we study the distortion bounds for voting mechanisms in multi-winner elections in general metric spaces. Our study pertains to the case in which each voter only reports her favorite candidate amongst $m$ possible choices.…

Computer Science and Game Theory · Computer Science 2025-05-29 Gennaro Auricchio , Zeyu Ren , Zihe Wang , Jie Zhang

The actions of packing and cracking are central to the construction of gerrymandered district plans. The US Supreme Court opinion in Gill v. Whitford makes clear that vote dilution arguments require showing that individual voters have been…

Physics and Society · Physics 2018-08-06 Gregory S. Warrington

We consider committee election of $k \geq 2$ (out of $m \geq k+1$) candidates, where the voters and the candidates are associated with locations on the real line. Each voter's cardinal preferences over candidates correspond to her distance…

Computer Science and Game Theory · Computer Science 2024-09-10 Dimitris Fotakis , Laurent Gourvès , Panagiotis Patsilinakos

Voter fraud in the United States is rare and the vote-counting system is robust against tampering, but there remains widespread distrust in the security of election infrastructure among the public. We consider statistical means of detecting…

Applications · Statistics 2021-10-11 Christian Johnson

This paper introduces a definition of ideological polarization of an electorate around a particular central point. By being flexible about the location or width of the center, this measure enables the researcher to analyze polarization…

General Economics · Economics 2025-07-11 Boris Ginzburg

Finding parameters that minimise a loss function is at the core of many machine learning methods. The Stochastic Gradient Descent algorithm is widely used and delivers state of the art results for many problems. Nonetheless, Stochastic…

Machine Learning · Computer Science 2018-09-26 Yao Zhang , Andrew M. Saxe , Madhu S. Advani , Alpha A. Lee

An "elephant in the room" for most current object detection and localization methods is the lack of explicit modelling of partial visibility due to occlusion by other objects or truncation by the image boundary. Based on a sliding window…

Computer Vision and Pattern Recognition · Computer Science 2013-11-27 Patrick Ott , Mark Everingham , Jiri Matas

We investigate the problem of computing the probability of winning in an election where voter attendance is uncertain. More precisely, we study the setting where, in addition to a total ordering of the candidates, each voter is associated…

Computer Science and Game Theory · Computer Science 2021-02-01 Aviram Imber , Benny Kimelfeld

Finding outlying elements in probability distributions can be a hard problem. Taking a real example from Voting Rights Act enforcement, we consider the problem of maximizing the number of simultaneous majority-minority districts in a…

Physics and Society · Physics 2022-06-23 Sarah Cannon , Ari Goldbloom-Helzner , Varun Gupta , JN Matthews , Bhushan Suwal

In district-based multi-party elections, electors cast votes in their respective districts. In each district, the party with maximum votes wins the corresponding seat in the governing body. Election Surveys try to predict the election…

Methodology · Statistics 2023-12-27 Adway Mitra , Palash Dey

Detecting weak, systematic distribution shifts and quantitatively modeling individual, heterogeneous responses to policies or incentives have found increasing empirical applications in social and economic sciences. Given two probability…

Statistics Theory · Mathematics 2024-03-29 YoonHaeng Hur , Tengyuan Liang