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Eigenvectors of matrices on a network have been used for understanding spectral clustering and influence of a vertex. For matrices with small geodesic-width, we propose a distributed iterative algorithm in this letter to find eigenvectors…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-24 Nazar Emirov , Cheng Cheng , Qiyu Sun , Zhihua Qu

Several aspects of the internal structure of pseudoscalar mesons, accessible through generalized parton distributions in their zero-skewness limit, are examined. These include electromagnetic and gravitational form factors related to charge…

High Energy Physics - Phenomenology · Physics 2024-12-10 K. Raya , A. Bashir , J. Rodríguez-Quintero

A theoretical analysis is given of the equation of motion method, due to Alben et al., to compute the eigenvalue distribution (density of states) of very large matrices. The salient feature of this method is that for matrices of the kind…

Computational Physics · Physics 2009-11-06 Anthony Hams , Hans De Raedt

In population genetics, diffusions on the unit interval are often used to model the frequency path of an allele. In this setting we derive approximations for fixation probabilities, expected hitting times and the expected…

Probability · Mathematics 2018-09-18 Peter Pfaffelhuber , Anton Wakolbinger

Linear mixed effects models are widely used in statistical modelling. We consider a mixed effects model with Bayesian variable selection in the random effects using spike-and-slab priors and developed a variational Bayes inference scheme…

Methodology · Statistics 2024-08-15 M-Z. Spyropoulou , J. Hopker , J. E. Griffin

In this paper, we hope to bring closer graph theory and consensus algorithms. Firstly, we give a brief introduction to graph theory by listing a concise definition. Then we analyze and visualize some commonly used graphs. Secondly, we…

Discrete Mathematics · Computer Science 2021-01-27 Shen Zheng

Estimating frequencies of elements appearing in a data stream is a key task in large-scale data analysis. Popular sketching approaches to this problem (e.g., CountMin and CountSketch) come with worst-case guarantees that probabilistically…

Data Structures and Algorithms · Computer Science 2023-12-13 Anders Aamand , Justin Y. Chen , Huy Lê Nguyen , Sandeep Silwal , Ali Vakilian

We study an estimator for smoothing irregularly sampled data into a smooth map. The estimator has been widely used in astronomy, owing to its low level of noise; it involves a weight function -- or smoothing kernel -- w(\theta). We show…

Astrophysics · Physics 2009-11-06 Marco Lombardi , Peter Schneider

In this paper, we experimentally compare major approval-based multiwinner voting rules. To this end, we define a measure of similarity between two equal-sized committees subject to a given election. Using synthetic elections coming from…

Computer Science and Game Theory · Computer Science 2024-01-23 Piotr Faliszewski , Martin Lackner , Krzysztof Sornat , Stanisław Szufa

Predicting the winner of an election is a favorite problem both for news media pundits and computational social choice theorists. Since it is often infeasible to elicit the preferences of all the voters in a typical prediction scenario, a…

Data Structures and Algorithms · Computer Science 2016-04-21 Arnab Bhattacharyya , Palash Dey

In urgent decision making applications, ensemble simulations are an important way to determine different outcome scenarios based on currently available data. In this paper, we will analyze the output of ensemble simulations by considering…

Graphics · Computer Science 2019-10-21 Max Kontak , Jules Vidal , Julien Tierny

We demonstrate that machine learning enables the capability to infer an individual's propensity to vote from their past actions and attributes. This is useful for microtargeting voter outreach, voter education and get-out-the-vote (GOVT)…

Physics and Society · Physics 2021-02-15 Rebecca D. Pollard , Sara M. Pollard , Scott Streit

Referring to a standard context of voting theory, and to the classic notion of voting situation, here we show that it is possible to observe any arbitrary set of elections' outcomes, no matter how paradoxical it may appear. On this purpose…

Probability · Mathematics 2022-06-01 Emilio De Santis , Fabio Spizzichino

We propose and study a hierarchical algorithm to generate graphs having a predetermined distribution of cliques, the fully connected subgraphs. The construction mechanism may be either random or incorporate preferential attachment. We…

Physics and Society · Physics 2009-11-13 Gregor Kaczor , Claudius Gros

The class of $\alpha$-stable distributions with a wide range of applications in economics, telecommunications, biology, applied, and theoretical physics. This is due to the fact that it possesses both the skewness and heavy tails. Since…

Statistics Theory · Mathematics 2018-11-13 Mahdi Teimouri

Deep functional map frameworks are widely employed for 3D shape matching. However, most existing deep functional map methods cannot adaptively capture important frequency information for functional map estimation in specific matching…

Computer Vision and Pattern Recognition · Computer Science 2024-06-26 Feifan Luo , Qinsong Li , Ling Hu , Haibo Wang , Xinru Liu , Shengjun Liu , Hongyang Chen

Many hard computational social choice problems are known to become tractable when voters' preferences belong to a restricted domain, such as those of single-peaked or single-crossing preferences. However, to date, all algorithmic results of…

Computer Science and Game Theory · Computer Science 2016-02-12 Edith Elkind , Martin Lackner

Parametric distributions are an important part of statistics. There is now a voluminous literature on different fascinating formulations of flexible distributions. We present a selective and brief overview of a small subset of these…

Statistics Theory · Mathematics 2020-05-15 Sharon X. Lee , Geoffrey J. McLachlan

We discuss a random matrix model of systems with an approximate symmetry and present the spectral fluctuation statistics and eigenvector characteristics for the model. An acoustic resonator like, e.g., an aluminium plate may have an…

Condensed Matter · Physics 2007-05-23 A. Andersen , C. Ellegaard , A. D. Jackson , K. Schaadt

We propose a new graphical format for instant-runoff voting election results. We call this proposal an "accumulation chart." This model, a modification of standard bar charts, is easy to understand, clearly indicates the winner, depicts the…

Physics and Society · Physics 2019-08-27 Bridget Eileen Tenner , Gregory S. Warrington