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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…

统计方法学 · 统计学 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…

统计方法学 · 统计学 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…

核理论 · 物理学 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…

统计金融 · 定量金融 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…

物理与社会 · 物理学 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…

统计方法学 · 统计学 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)…

统计方法学 · 统计学 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.

计算物理 · 物理学 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…

网络与互联网体系结构 · 计算机科学 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…

统计方法学 · 统计学 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…

物理与社会 · 物理学 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…

统计理论 · 数学 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…

多智能体系统 · 计算机科学 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…

统计方法学 · 统计学 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…

统计方法学 · 统计学 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…

统计方法学 · 统计学 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,…

统计方法学 · 统计学 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…

概率论 · 数学 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…

机器人学 · 计算机科学 2019-08-28 John Charlton , Luis Rene Montana Gonzalez , Steve Maddock , Paul Richmond