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We consider an electron magnetically interacting with a spin-1/2 impurity, embedded in an external environment whose noisy term acts only on the impurity's spin, and we find expressions for the electron transmission and reflection…

Quantum Physics · Physics 2009-11-13 Alexandra M. Liguori , Giovanni Moras

Extended target tracking estimates the centroid and shape of the target in space and time. In various situations where extended target tracking is applicable, the presence of multiple targets can lead to interference, particularly when they…

Computer Vision and Pattern Recognition · Computer Science 2023-11-29 Behzad Akbari , Haibin Zhu , Ya-Jun Pan , R. Tharmarasa

Deviations between the form of trajectory assumed in a fit to a set of measurements and the actual form of the trajectory can give rise to sequential correlations in the residuals from the fit. These correlations can provide a more powerful…

High Energy Physics - Experiment · Physics 2009-10-31 Robert V. Kowalewski , Paul D. Jackson

We apply random matrix theory to study the impact of measurement uncertainty on dynamic mode decomposition. Specifically, when the measurements follow a normal probability density function, we show how the moments of that density propagate…

Methodology · Statistics 2025-09-04 P. Algikar , P. Sharma , M. Netto , L. Mili

The purpose of this project was to collect and analyse data about the comparability and real-life applicability of published results focusing on Microsoft Windows malware, more specifically the impact of dataset size and testing dataset…

Cryptography and Security · Computer Science 2022-06-14 David Illes

Robust data association is critical for analysis of long-term motion trajectories in complex scenes. In its absence, trajectory precision suffers due to periods of kinematic ambiguity degrading the quality of follow-on analysis. Common…

Machine Learning · Computer Science 2020-11-17 David S. Hayden , Sue Zheng , John W. Fisher

One fundamental statistical question for research areas such as precision medicine and health disparity is about discovering effect modification of treatment or exposure by observed covariates. We propose a semiparametric framework for…

Methodology · Statistics 2020-08-04 Muxuan Liang , Menggang Yu

Association rule mining is an important problem in the data mining area. It enumerates and tests a large number of rules on a dataset and outputs rules that satisfy user-specified constraints. Due to the large number of rules being tested,…

Databases · Computer Science 2011-11-01 Guimei Liu , Haojun Zhang , Limsoon Wong

This article provides an overview on the statistical modeling of complex data as increasingly encountered in modern data analysis. It is argued that such data can often be described as elements of a metric space that satisfies certain…

Methodology · Statistics 2024-02-28 Paromita Dubey , Yaqing Chen , Hans-Georg Müller

Applications, ranging from tracking molecular motion within cells to analyzing complex animal foraging behavior, require algorithms for associating a collection of spot-like particles in one image with particles contained in another image.…

Quantitative Methods · Quantitative Biology 2013-04-23 Alexander Mont , Aubrey V. Wiegel , Diego Krapf , Christopher P. Calderon

An accurate trajectory prediction is crucial for safe and efficient autonomous driving in complex traffic environments. In recent years, artificial intelligence has shown strong capabilities in improving prediction accuracy. However, its…

Computer Vision and Pattern Recognition · Computer Science 2023-01-12 Wenbo Shao , Yanchao Xu , Jun Li , Chen Lv , Weida Wang , Hong Wang

Multiple people tracking is a key problem for many applications such as surveillance, animation or car navigation, and a key input for tasks such as activity recognition. In crowded environments occlusions and false detections are common,…

Computer Vision and Pattern Recognition · Computer Science 2016-12-01 Laura Leal-Taixé

Constructing valid and informative conformal prediction regions for multi-dimensional outputs remains a fundamental challenge. While conformal prediction provides finite-sample, distribution-free coverage guarantees, its practical…

Machine Learning · Statistics 2026-05-11 Zhenhan Fang , Aixin Tan , Jian Huang

Data association, the problem of reasoning over correspondence between targets and measurements, is a fundamental problem in tracking. This paper presents a graphical model formulation of data association and applies an approximate…

Artificial Intelligence · Computer Science 2014-12-16 Jason L. Williams , Roslyn A. Lau

Sphere packings are essential to the development of physical models for powders, composite materials, and the atomic structure of the liquid state. There is a strong scientific need to be able to assess the fit of packing models to data,…

Methodology · Statistics 2009-10-31 Jeffrey Picka

I present a global survey of weak mixing angle measurements and other precision experiments and discuss the issue of correlations of the theoretical uncertainties in precision observables. Hadronic vacuum polarization effects complicate…

High Energy Physics - Phenomenology · Physics 2019-08-21 Jens Erler

Density ratio estimation (DRE) is a paramount task in machine learning, for its broad applications across multiple domains, such as covariate shift adaptation, causal inference, independence tests and beyond. Parametric methods for…

Machine Learning · Statistics 2025-06-03 Meilin Wang , Wei Huang , Mingming Gong , Zheng Zhang

We address the distributed estimation of an unknown scalar parameter in Wireless Sensor Networks (WSNs). Sensor nodes transmit their noisy observations over multiple access channel to a Fusion Center (FC) that reconstructs the source…

Information Theory · Computer Science 2015-06-15 Mohammed F. A. Ahmed , Tareq Y. Al-Naffouri , Mohamed-Slim Alouini

Autonomous driving consists of a multitude of interacting modules, where each module must contend with errors from the others. Typically, the motion prediction module depends upon a robust tracking system to capture each agent's past…

Computer Vision and Pattern Recognition · Computer Science 2021-11-15 Ameni Trabelsi , Ross J. Beveridge , Nathaniel Blanchard

Parameter estimation via unbinned maximum likelihood fits is central for many analyses performed in high energy physics. Unbinned maximum likelihood fits using event weights, for example to statistically subtract background contributions…

Data Analysis, Statistics and Probability · Physics 2022-05-09 Christoph Langenbruch