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Distance correlation is a measure of dependence between two paired random vectors or matrices of arbitrary, not necessarily equal, dimensions. Unlike Pearson correlation, the population distance correlation coefficient is zero if and only…

Methodology · Statistics 2025-06-19 Kontemeniotis Nikolaos , Vargiakakis Rafail , Tsagris Michail

The incomplete particle identification limits the experimentally-available phase space region for identified particle analysis. This problem affects ongoing fluctuation and correlation studies including the search for the critical point of…

High Energy Physics - Experiment · Physics 2018-09-18 Maja Mackowiak-Pawlowska , Piotr Przybyla

Observational studies can play a useful role in assessing the comparative effectiveness of competing treatments. In a clinical trial the randomization of participants to treatment and control groups generally results in well-balanced groups…

It is suggested and demonstrated that two specific 2-dimensional correlation patterns, fixed-to-arbitrary bin and neighboring bin correlation patterns, are efficient for identifying various random multiplicative cascade processes. A…

High Energy Physics - Phenomenology · Physics 2007-05-23 Wu Yuanfang , Wang Yingdan , Bai Yuting , Liao Hongbo , Liu Lianshou

Credal sets, i.e., closed convex sets of probability measures, provide a natural framework to represent aleatoric and epistemic uncertainty in machine learning. Yet how to quantify these two types of uncertainty for a given credal set,…

The paper reviews recent progress in particle identification methods. A survey of motivations and requirements for particle identification in various experimental environments is followed by the main emphasis, which is on the recent…

Instrumentation and Detectors · Physics 2008-11-26 Peter Krizan

Person re-identification aims at matching pedestrians observed from non-overlapping camera views. Feature descriptor and metric learning are two significant problems in person re-identification. A discriminative metric learning method…

Computer Vision and Pattern Recognition · Computer Science 2015-11-18 Siyuan Huang , Jiwen Lu , Jie Zhou , Anil K. Jain

Two-particle angular correlations have been widely used as a tool to explore particle production mechanisms in heavy-ion collisions. The mixed-event technique is generally used as a standard method to correct for finite-acceptance effects.…

Nuclear Theory · Physics 2016-08-18 Saehanseul Oh , Tim Schuster , Andreas Morsch , Constantin Loizides

The universal conductance fluctuations of quasi-two-dimensional systems are analyzed with experimental considerations in mind. The traditional statistical metrics of these fluctuations (such as variance) are shown to have large statistical…

Mesoscale and Nanoscale Physics · Physics 2012-11-16 M. B. Lundeberg , J. Renard , J. A. Folk

Correlations in photodetection signals from quantum light sources are conventionally calculated by application of the source master equation and the quantum regression theorem. In this article we show how the conditioned dynamics,…

Quantum Physics · Physics 2015-12-09 Qing Xu , Eliska Greplova , Brian Julsgaard , Klaus Mølmer

We provide a brief tutorial on the use of concentration inequalities as they apply to system identification of state-space parameters of linear time invariant systems, with a focus on the fully observed setting. We draw upon tools from the…

Optimization and Control · Mathematics 2019-08-30 Nikolai Matni , Stephen Tu

In order to account for possible nonstatistical fluctuations in a hadronizing system (leading to the characteristic power-like behavior of the respective single particle spectra and to the broadening of the corresponding multiparticle…

High Energy Physics - Phenomenology · Physics 2012-02-21 Grzegorz Wilk , Zbigniew Wlodarczyk

Various methods have been developed independently to study the multifractality of measures in many different contexts. Although they all convey the same intuitive idea of giving a "dimension" to sets where a quantity scales similarly within…

Data Analysis, Statistics and Probability · Physics 2017-03-08 Hadrien Salat , Roberto Murcio , Elsa Arcaute

We derive a variational expression for the correlation time of physical observables in steady-state diffusive systems. As a consequence of this variational expression, we obtain lower bounds on the correlation time, which provide speed…

Statistical Mechanics · Physics 2023-03-24 Andreas Dechant , Jerome Garnier-Brun , Shin-ichi Sasa

Two particle correlations are studied in the reaction plane of peripheral relativistic heavy ion reactions where the initial state has substantial angular momentum. The earlier predicted rotation effect and Kelvin Helmholtz Instability,…

Nuclear Theory · Physics 2013-05-06 L. P. Csernai , S. Velle

We address the problem of motion estimation in images operating in the frequency domain. A method is presented which extends phase correlation to handle multiple motions present in an area. Our scheme is based on a novel Bilateral-Phase…

Computer Vision and Pattern Recognition · Computer Science 2018-11-02 Vasileios Argyriou

The past two decades have witnessed a surge of interest in exploring correlation and coherence measures to investigate quantum phase transitions (QPTs). Here, motivated by the continued push along this direction, we propose a measure which…

Quantum Physics · Physics 2022-09-07 Ming-Ming Du , Abdul Sattar Khan , Zhao-Yi Zhou , Da-Jian Zhang

Measuring inter-dataset similarity is an important task in machine learning and data mining with various use cases and applications. Existing methods for measuring inter-dataset similarity are computationally expensive, limited, or…

Machine Learning · Computer Science 2025-05-06 Muhammad Rajabinasab , Anton D. Lautrup , Arthur Zimek

Distance correlation is a new measure of dependence between random vectors. Distance covariance and distance correlation are analogous to product-moment covariance and correlation, but unlike the classical definition of correlation,…

Statistics Theory · Mathematics 2008-12-18 Gábor J. Székely , Maria L. Rizzo , Nail K. Bakirov

When methods of moments are used for identification of power spectral densities, a model is matched to estimated second order statistics such as, e.g., covariance estimates. If the estimates are good there is an infinite family of power…

Optimization and Control · Mathematics 2011-04-12 Per Enqvist
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