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Multiway data are becoming more and more common. While there are many approaches to extending principal component analysis (PCA) from usual data matrices to multiway arrays, their conceptual differences from the usual PCA, and the…

Methodology · Statistics 2023-02-15 Jialin Ouyang , Ming Yuan

The literature on high-dimensional functional data focuses on either the dependence over time or the correlation among functional variables. In this paper, we propose a factor-guided functional principal component analysis (FaFPCA) method…

Methodology · Statistics 2022-11-23 Shoudao Wen , Huazhen Lin

The principal component analysis (PCA) of different parameters affecting collectivity of nuclei predicted to be candidate of the interacting boson model dynamical symmetries are performed. The results show that, the use of PCA within…

Nuclear Theory · Physics 2015-06-24 A. Al-Sayed

Principal Component Analysis (PCA) is the most common nonparametric method for estimating the volatility structure of Gaussian interest rate models. One major difficulty in the estimation of these models is the fact that forward rate curves…

Statistical Finance · Quantitative Finance 2014-08-28 Marcio Laurini , Alberto Ohashi

We consider a multi-group microscopic model for pedestrian flow describing the behaviour of large groups. It is based on an interacting particle system coupled to an eikonal equation. Hydrodynamic multi-group models are derived from the…

Physics and Society · Physics 2017-05-18 Naveen K. Mahato , Axel Klar , Sudarshan Tiwari

Principal component analysis (PCA) is commonly used in genetics to infer and visualize population structure and admixture between populations. PCA is often interpreted in a way similar to inferred admixture proportions, where it is assumed…

Methodology · Statistics 2023-02-10 Jan van Waaij , Song Li , Genís Garcia-Erill , Anders Albrechtsen , Carsten Wiuf

At the crossway of machine learning and data analysis, anomaly detection aims at identifying observations that exhibit abnormal behaviour. Be it measurement errors, disease development, severe weather, production quality default(s) (items)…

Methodology · Statistics 2025-06-06 Romain Valla , Pavlo Mozharovskyi , Florence d'Alché-Buc

In this paper a model of pedestrian motion is presented. As application its parameters are fitted to one run in a primary school evacuation exercise. Simulations with these parameters are compared to further runs during the same exercise.

Computational Physics · Physics 2014-02-10 Tobias Kretz , Michael Schreckenberg

The Principal Component Analysis (PCA) is a data dimensionality reduction technique well-suited for processing data from sensor networks. It can be applied to tasks like compression, event detection, and event recognition. This technique is…

Networking and Internet Architecture · Computer Science 2010-03-13 Yann-Aël Le Borgne , Sylvain Raybaud , Gianluca Bontempi

Big data is transforming our world, revolutionizing operations and analytics everywhere, from financial engineering to biomedical sciences. The complexity of big data often makes dimension reduction techniques necessary before conducting…

Methodology · Statistics 2018-01-08 Jianqing Fan , Qiang Sun , Wen-Xin Zhou , Ziwei Zhu

When a large group of pedestrians moves around a corner, most pedestrians do not follow the shortest path, which is to stay as close as possible to the inner wall, but try to minimize the travel time. For this they accept to move on a…

Physics and Society · Physics 2009-05-28 Tobias Kretz

Functional principal components (FPC's) provide the most important and most extensively used tool for dimension reduction and inference for functional data. The selection of the number, d, of the FPC's to be used in a specific procedure has…

Statistics Theory · Mathematics 2013-02-26 Stefan Fremdt , Lajos Horváth , Piotr Kokoszka , Josef G. Steinebach

As autonomous vehicle technology advances, ensuring the safety and reliability of these systems becomes paramount. Consequently, comprehensive testing methodologies are essential to evaluate the performance of autonomous vehicles in diverse…

Multiagent Systems · Computer Science 2025-12-30 Manuel Franco-Vivo

We introduce Adaptive Functional Principal Component Analysis, a novel method to capture directions of variation in functional data that exhibit sharp changes in smoothness. We first propose a new adaptive scatterplot smoothing technique…

Methodology · Statistics 2023-10-04 Angel Garcia de la Garza , Britton Sauerbrei , Adam Hantman , Jeff Goldsmith

When measurements fall below or above a detection threshold, the resulting data are missing not at random (MNAR), posing challenges for statistical analysis. For example, in longitudinal biomarker studies, observations may be subject to…

Methodology · Statistics 2025-10-21 Haiyan Liu , Jeanine Houwing-Duistermaat

Functional data typically contains amplitude and phase variation. In many data situations, phase variation is treated as a nuisance effect and is removed during preprocessing, although it may contain valuable information. In this note, we…

Methodology · Statistics 2021-01-01 Clara Happ , Fabian Scheipl , Alice-Agnes Gabriel , Sonja Greven

Between 2011 and 2014 NHANES collected objectively measured physical activity data using wrist-worn accelerometers for tens of thousands of individuals for up to seven days. In this study, we analyze minute-level indicators of being active,…

Methodology · Statistics 2025-04-01 Xinkai Zhou , Julia Wrobel , Ciprian M. Crainiceanu , Andrew Leroux

In this paper, we introduce and study one-dimensional models for the behavior of pedestrians in a narrow street or corridor. We begin at the microscopic level by formulating a stochastic cellular automata model with explicit rules for…

Probability · Mathematics 2012-09-27 Alina Chertock , Alexander Kurganov , Anthony Polizzi , Ilya Timofeyev

In this paper, two important factors which affect the pedestrian outflow at a bottleneck significantly are studied in detail to analyze the effect of an obstacle set up in front of an exit. One is a conflict at an exit when pedestrians…

Real-time large-scale crowd simulations with realistic behavior, are important for many application areas. On CPUs, the ORCA pedestrian steering model is often used for agent-based pedestrian simulations. This paper introduces a technique…

Robotics · Computer Science 2019-08-28 John Charlton , Luis Rene Montana Gonzalez , Steve Maddock , Paul Richmond