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The concept of distance covariance/correlation was introduced recently to characterize dependence among vectors of random variables. We review some statistical aspects of distance covariance/correlation function and we demonstrate its…

Methodology · Statistics 2018-07-13 Dominic Edelmann , Konstantinos Fokianos , Maria Pitsillou

Flow cytometry measurements are widely used in diagnostics and medical decision making. Incomplete understanding of sources of measurement uncertainty can make it difficult to distinguish autofluorescence and background sources from signals…

Quantitative Methods · Quantitative Biology 2024-12-02 Prajakta Bedekar , Megan A. Catterton , Matthew DiSalvo , Gregory A. Cooksey , Anthony J. Kearsley , Paul N. Patrone

We study distributional similarity measures for the purpose of improving probability estimation for unseen cooccurrences. Our contributions are three-fold: an empirical comparison of a broad range of measures; a classification of similarity…

Computation and Language · Computer Science 2007-05-23 Lillian Lee

In this paper, we give a Schr\"odinger-type uncertainty relation using the Wigner-Yanase-Dyson skew information. In addition, we give Schr\"odinger-type uncertainty relation by use of a two-parameter extended correlation measure. Moreover,…

Quantum Physics · Physics 2012-01-17 Shigeru Furuichi , Kenjiro Yanagi

We present a new tool for data analysis: persistence discrete homology, which is well-suited to analyze filtrations of graphs. In particular, we provide a novel way of representing high-dimensional data as a filtration of graphs using…

Algebraic Topology · Mathematics 2025-06-23 Chris Kapulkin , Nathan Kershaw

Renaud Parentani has given a vast contribution to the development of gravitational analogue models as tools to explore various important aspects of general relativity and of quantum field theory in curved space-time. In these systems,…

Quantum Gases · Physics 2025-04-23 Alessia Biondi , Maria Luisa Chiofalo , Massimo Mannarelli , Silvia Trabucco

Advanced metering infrastructure (AMI) has been widely used as an intelligent energy consumption measurement system. Electric power was the representative energy source that can be collected by AMI; most existing studies to detect abnormal…

Machine Learning · Computer Science 2023-05-05 Taehee Kim , Hyuk-Yoon Kwon

Various methods for leveraging turbulent fluctuation measurements from fusion plasma experiments are introduced, along with selected application examples. These can be categorized into spectral methods, statistical methods, and physics…

Plasma Physics · Physics 2025-10-27 Minjun J. Choi

We demonstrate lineshape measurement of an extreme-weak amplitude fluctuating light source by using the photon-counting-based second-order correlation spectroscopy combined with the heterodyne technique. The amplitude fluctuation of a…

Enhanced fluctuations and correlations have been observed in the phase transitions of many systems. Their appearance at the predicted QCD phase transition (especially near the expected critical point) may provide insight into the nature of…

Nuclear Experiment · Physics 2015-03-17 Terence J Tarnowsky

Multiplicity fluctuations play a crucial role in relativistic heavy-ion collisions. In this work, we explore how the multiplicity fluctuations can be effectively suppressed in the measurement of particle correlations. In particular, through…

Nuclear Theory · Physics 2023-09-12 Chong Ye , Hong-Hao Ma , Dan Wen , Philipe Mota , Wei-Liang Qian , Rui-Hong Yue

This study outlines a comprehensive methodology utilizing copulas to discern inconsistencies in the behavior exhibited by pairs of financial assets. It introduces a robust approach to establishing the interrelationship between the returns…

Computational Finance · Quantitative Finance 2023-12-05 Alexander Shulzhenko

We discuss various measures of net charge (conserved quantities) fluctuations proposed for the identification of critical phenomena in heavy ion collisions. We show the dynamical component of fluctuations of the net charge can be expressed…

Nuclear Experiment · Physics 2009-11-07 C. Pruneau , S. Gavin , S. Voloshin

Time Resolved Correlation (TRC) is a recently introduced light scattering technique that allows to detect and quantify dynamic heterogeneities. The technique is based on the analysis of the temporal evolution of the speckle pattern…

Soft Condensed Matter · Physics 2007-05-23 Agnes Duri , Hugo Bissig , Veronique Trappe , Luca Cipelletti

Coherent diffraction imaging (CDI) of single molecules at atomic resolution is a major goal for the x-ray free electron lasers (XFELs). However, during an imaging pulse, the fast laser-induced ionization may strongly affect the recorded…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Zoltan Jurek , Robert Thiele , Beata Ziaja , Robin Santra

We consider stochastic motion of a particle on a cyclic graph with arbitrarily periodic time dependent kinetic rates. We demonstrate duality relations for statistics of currents in this model and in its continuous version of a diffusion in…

Statistical Mechanics · Physics 2015-03-19 Jie Ren , V. Y. Chernyak , N. A. Sinitsyn

Person Re-Identification (ReID) is a challenging problem in many video analytics and surveillance applications, where a person's identity must be associated across a distributed non-overlapping network of cameras. Video-based person ReID…

Computer Vision and Pattern Recognition · Computer Science 2020-10-06 Madhu Kiran , Amran Bhuiyan , Louis-Antoine Blais-Morin , Mehrsan Javan , Ismail Ben Ayed , Eric Granger

In heavy-ion collisions, momentum-dependent pair correlations can be characterized by a principal component analysis (PCA), in which subleading modes are expected to reveal new information on flow fluctuations. However, we find that, as…

In this expository note we highlight the correlation function method as a unified approach in proving both hydrodynamic limits and fluctuation limits for reaction diffusion particle systems. For simplicity we focus on the case when the…

Probability · Mathematics 2021-01-12 Wai-Tong Louis Fan

In real applications, new object classes often emerge after the detection model has been trained on a prepared dataset with fixed classes. Due to the storage burden and the privacy of old data, sometimes it is impractical to train the model…

Computer Vision and Pattern Recognition · Computer Science 2021-07-06 Dongbao Yang , Yu Zhou , Weiping Wang