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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

First and second order corrections for the scattering of different types of particles by a weak gravitational field, treated as an external field, are calculated. These computations indicate a violation of the Equivalence Principle: to…

General Relativity and Quantum Cosmology · Physics 2008-01-15 Ricardo Paszko

Feature screening is useful and popular to detect informative predictors for ultrahigh-dimensional data before developing proceeding statistical analysis or constructing statistical models. While a large body of feature screening procedures…

Methodology · Statistics 2020-08-12 Li-Pang Chen

We give an overview of track fitting using the Kalman filter method in the NOMAD detector at CERN, and emphasize how the wealth of by-product information can be used to analyze track breakpoints (discontinuities in track parameters caused…

Data Analysis, Statistics and Probability · Physics 2009-10-31 Pierre Astier , Alessandro Cardini , Robert D. Cousins , Antoine Letessier-Selvon , Boris A. Popov , Tatiana Vinogradova

We present a new criterion for the goodness of global fits. It involves an exploration of the variation of \chi^2 for subsets of data.

High Energy Physics - Phenomenology · Physics 2015-06-25 John Collins , Jon Pumplin

Deformable parts models show a great potential in tracking by principally addressing non-rigid object deformations and self occlusions, but according to recent benchmarks, they often lag behind the holistic approaches. The reason is that…

Computer Vision and Pattern Recognition · Computer Science 2016-05-13 Alan Lukežič , Luka Čehovin , Matej Kristan

We show that the correlations in stochastic outputs of time-distributed weak measurements can be used to study the dynamics of an individual quantum object, with a proof-of-principle setup based on small Faraday rotation caused by a single…

Mesoscale and Nanoscale Physics · Physics 2010-01-20 R. -B. Liu , Shu-Hong Fung , Hok-Kin Fung , A. N. Korotkov , L. J. Sham

The fluctuations and correlations of matrix elements of cross sections are investigated in open systems that are chaotic in the classical limit. The form of the correlation functions is discussed within a statistical analysis and tested in…

Chaotic Dynamics · Physics 2007-08-22 Bruno Eckhardt , Imre Varga , Peter Pollner

Correlation filter has been proven to be an effective tool for a number of approaches in visual tracking, particularly for seeking a good balance between tracking accuracy and speed. However, correlation filter based models are susceptible…

Computer Vision and Pattern Recognition · Computer Science 2018-11-09 Yanchun Xie , Jimin Xiao , Kaizhu Huang , Jeyarajan Thiyagalingam , Yao Zhao

Conformance checking deals with collating modeled process behavior with observed process behavior recorded in event data. Alignments are a state-of-the-art technique to detect, localize, and quantify deviations in process executions, i.e.,…

Software Engineering · Computer Science 2022-11-23 Daniel Schuster , Niklas Föcking , Sebastiaan J. van Zelst , Wil M. P. van der Aalst

A quantum trajectory describes the evolution of a quantum system undergoing indirect measurement. In the discrete-time setting, the state of the system is updated by applying Kraus operators according to the measurement results. From an…

Quantum Physics · Physics 2022-04-04 Maël Bompais , Nina H. Amini , Clément Pellegrini

Consider the problem of tracking a set of moving targets. Apart from the tracking result, it is often important to know where the tracking fails, either to steer sensors to that part of the state-space, or to inform a human operator about…

Artificial Intelligence · Computer Science 2009-11-10 Hedvig Sidenbladh , Pontus Svenson , Johan Schubert

Although atomistic simulations of proteins and other biological systems are approaching microsecond timescales, the quality of trajectories has remained difficult to assess. Such assessment is critical not only for establishing the…

Quantitative Methods · Quantitative Biology 2007-05-23 Edward Lyman , Daniel M. Zuckerman

This paper proposes that common measures for network transitivity, based on the enumeration of transitive triples, do not reflect the theoretical statements about transitivity they aim to describe. These statements are often formulated as…

Applications · Statistics 2017-08-03 David Dekker , David Krackhardt , Tom A. B. Snijders

Characteristic-function based goodness-of-fit tests are suggested for multivariate observations. The test statistics, which are straightforward to compute, are defined as two-sample criteria measuring discrepancy between multivariate ranks…

Statistics Theory · Mathematics 2025-08-01 Zdeněk Hlávka , Šárka Hudecová , Simos G. Meintanis

In the statistical literature, as well as in artificial intelligence and machine learning, measures of discrepancy between two probability distributions are largely used to develop measures of goodness-of-fit. We concentrate on quadratic…

Methodology · Statistics 2025-10-01 Marianthi Markatou , Giovanni Saraceno

Deep learning models achieve state-of-the-art performance across domains but face scalability challenges in real-time or resource-constrained scenarios. To address this, we propose Correlation of Loss Differences (CLD), a simple and…

Machine Learning · Computer Science 2025-11-20 Manish Nagaraj , Deepak Ravikumar , Kaushik Roy

Interdependencies between experimental spectra, representing line or plane projections of electronic densities, are derived from their consistency and symmetry conditions. Some additional relations for plane projections are obtained by…

Data Analysis, Statistics and Probability · Physics 2009-11-07 G. Kontrym-Sznajd

We present a novel framework for deriving integral constraints for correlators on conformal line defects. These constraints emerge from the non-linearly realized ambient-space conformal symmetry. To validate our approach, we examine several…

High Energy Physics - Theory · Physics 2025-08-08 Barak Gabai , Amit Sever , De-liang Zhong

Long traces and large event logs that originate from sensors and prediction models are becoming more common in our data-rich world. In such circumstances, conformance checking, a key task in process mining, can become computationally…

Artificial Intelligence · Computer Science 2024-06-11 Eli Bogdanov , Izack Cohen , Avigdor Gal