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200 papers

Comparing the ranking of candidates by different voters is an important topic in social and information science with a high relevance from the point of view of practical applications. In general, ties and pairs of incomparable candidates…

Applications · Statistics 2016-01-25 Gergely Tibély , Péter Pollner , Gergely Palla

This paper examines the problem of ranking a collection of objects using pairwise comparisons (rankings of two objects). In general, the ranking of $n$ objects can be identified by standard sorting methods using $n log_2 n$ pairwise…

Machine Learning · Computer Science 2011-12-13 Kevin G. Jamieson , Robert D. Nowak

Two averaging algorithms are considered which are intended for choosing an optimal plane and an optimal circle approximating a group of points in three-dimensional Euclidean space.

Computational Geometry · Computer Science 2007-05-23 Ruslan Sharipov

In this paper, we consider the one-to-one correspondence between a 2-adic integer and its parity sequence under iteration of the so-called "3x+1" map. First, we prove a new formula for the inverse transform. Next, we briefly review what is…

Dynamical Systems · Mathematics 2025-02-20 Olivier Rozier

For users, recommendations can sometimes seem odd or counterintuitive. Visualizing recommendations can remove some of this mystery, showing how a recommendation is grouped with other choices. A drawing can also lead a user's eye to other…

Information Retrieval · Computer Science 2009-06-30 Emden Gansner , Yifan Hu , Stephen Kobourov , Chris Volinsky

The probability of a given candidate winning a future election is worked out in closed form as a function of (i) the current support rates for each candidate, (ii) the relative positioning of the candidates within the political spectrum,…

Probability · Mathematics 2025-04-25 Dorje C. Brody , Tomooki Yuasa

This note outlines three intellectually distinct but not mutually exclusive strategies for measuring partisan gerrymandering: partisan symmetry, efficiency gap, and algorithmic sampling.

Physics and Society · Physics 2018-01-09 Moon Duchin

Maps are an important source of information in archaeology and other sciences. Users want to search for historical maps to determine recorded history of the political geography of regions at different eras, to find out where exactly…

Digital Libraries · Computer Science 2009-01-27 Qingzhao Tan , Prasenjit Mitra , C. Lee Giles

In the paper, we propose a novel methodology to map learning algorithms on data (performance map) in order to gain more insights in the distribution of their performances across their parameter space. This methodology provides useful…

Machine Learning · Computer Science 2021-07-16 Filippo Neri

Simplified representations of macromolecules help in rationalising and understanding the outcome of atomistic simulations, and serve to the construction of effective, coarse-grained models. The number and distribution of coarse-grained…

Soft Condensed Matter · Physics 2021-10-27 Roberto Menichetti , Marco Giulini , Raffaello Potestio

We introduce Scan2Plan, a novel approach for accurate estimation of a floorplan from a 3D scan of the structural elements of indoor environments. The proposed method incorporates a two-stage approach where the initial stage clusters an…

Computer Vision and Pattern Recognition · Computer Science 2020-03-17 Ameya Phalak , Vijay Badrinarayanan , Andrew Rabinovich

Self-supervised models create representation spaces that lack clear semantic meaning. This interpretability problem of representations makes traditional explainability methods ineffective in this context. In this paper, we introduce a novel…

Computer Vision and Pattern Recognition · Computer Science 2024-06-12 Yavuz Yarici , Kiran Kokilepersaud , Mohit Prabhushankar , Ghassan AlRegib

Building accurate maps is a key building block to enable reliable localization, planning, and navigation of autonomous vehicles. We propose a novel approach for building accurate maps of dynamic environments utilizing a sequence of LiDAR…

Computer Vision and Pattern Recognition · Computer Science 2024-05-07 Xingguang Zhong , Yue Pan , Cyrill Stachniss , Jens Behley

3D data is a valuable asset the computer vision filed as it provides rich information about the full geometry of sensed objects and scenes. Recently, with the availability of both large 3D datasets and computational power, it is today…

Computer Vision and Pattern Recognition · Computer Science 2019-04-09 Eman Ahmed , Alexandre Saint , Abd El Rahman Shabayek , Kseniya Cherenkova , Rig Das , Gleb Gusev , Djamila Aouada , Bjorn Ottersten

Matching is a method of the design of experiments. If we had an even number of patients and wanted to form pairs of patients such that their ages, for example, in each pair be as close as possible, we would use nonbipartite matching. Not…

Combinatorics · Mathematics 2018-05-02 Josef Bukac

Correspondence selection aiming at seeking correct feature correspondences from raw feature matches is pivotal for a number of feature-matching-based tasks. Various 2D (image) correspondence selection algorithms have been presented with…

Computer Vision and Pattern Recognition · Computer Science 2019-05-01 Chen Zhao , Jiaqi Yang , Yang Xiao , Zhiguo Cao

In this paper, a new method of detection of election fraud is proposed. This method is based on the calculation of the ratio of two standard normal random variables; estimation of parameters of obtained sample and comparison of these…

Methodology · Statistics 2022-09-20 Ivan H. Krykun

When auditing a redistricting plan, a persuasive method is to compare the plan with an ensemble of neutrally drawn redistricting plans. Ensembles are generated via algorithms that sample distributions on balanced graph partitions. To audit…

Physics and Society · Physics 2024-02-01 Gabriel Chuang , Gregory Herschlag , Jonathan C. Mattingly

Biharmonic and conformal-biharmonic maps are two fourth-order generalizations of the well-studied notion of harmonic maps in Riemannian geometry. In this article we consider maps into the Euclidean sphere and investigate a geometric…

Differential Geometry · Mathematics 2026-03-09 Volker Branding

Two discrete dynamical systems are discussed and analyzed whose trajectories encode significant explicit information about a number of problems in combinatorial probability, including graphical enumeration on Riemann surfaces and random…

Exactly Solvable and Integrable Systems · Physics 2019-01-25 Tova Brown , Nicholas M. Ercolani