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Principal Component Analysis (PCA) finds a linear mapping and maximizes the variance of the data which makes PCA sensitive to outliers and may cause wrong eigendirection. In this paper, we propose techniques to solve this problem; we use…

Artificial Intelligence · Computer Science 2012-07-03 Peratham Wiriyathammabhum , Boonserm Kijsirikul

Principal component analysis is a long-standing go-to method for exploring multivariate data. The principal components are linear combinations of the original variables, ordered by descending variance. The first few components typically…

Applications · Statistics 2023-01-03 Nicholas Spyrison , Dianne Cook , Kim Marriott

We develop a robust Bayesian functional principal component analysis (RB-FPCA) method that utilizes the skew elliptical class of distributions to model functional data, which are observed over a continuous domain. This approach effectively…

Methodology · Statistics 2025-04-15 Jiarui Zhang , Jiguo Cao , Liangliang Wang

Principal component regression uses principal components as regressors. It is particularly useful in prediction settings with high-dimensional covariates. The existing literature treating of Bayesian approaches is relatively sparse. We…

Methodology · Statistics 2020-01-28 Philippe Gagnon , Mylène Bédard , Alain Desgagné

This paper presents a fast methodology, called ROBOUT, to identify outliers in a response variable conditional on a set of linearly related predictors, retrieved from a large granular dataset. ROBOUT is shown to be effective and…

Methodology · Statistics 2021-04-27 Matteo Farnè , Angelos Vouldis

Travel time is one of the key indicators monitored by intelligent transportation systems, helping the systems to gain real-time insights into traffic situations, predict congestion, and identify network bottlenecks. Travel time exhibits…

Applications · Statistics 2025-03-07 Ruiya Chen , Xiangdong Xu , Jianqiang Li

Discovering patterns and detecting anomalies in individual travel behavior is a crucial problem in both research and practice. In this paper, we address this problem by building a probabilistic framework to model individual spatiotemporal…

Social and Information Networks · Computer Science 2021-06-15 Lijun Sun , Xinyu Chen , Zhaocheng He , Luis F. Miranda-Moreno

In the context of rapid urbanization, understanding the patterns of urban residents' activities and mobility is crucial for optimizing transportation systems and enhancing urban management efficiency. This study addresses the limitations of…

Applications · Statistics 2024-06-25 Nuoxian Huang , Yulin Wu

Principal component analysis (PCA) is a fundamental tool for analyzing multivariate data. Here the focus is on dimension reduction to the principal subspace, characterized by its projection matrix. The classical principal subspace can be…

Methodology · Statistics 2026-05-29 Fabio Centofanti , Mia Hubert , Peter J. Rousseeuw

Understanding the variability of people's travel patterns is key to transport planning and policy-making. However, to what extent daily transit use displays geographic and temporal variabilities, and what are the contributing factors have…

Computers and Society · Computer Science 2024-03-12 Sui Tao , Francisco Rowe , Hongyu Shan

Recently, the robustification of principal component analysis has attracted lots of attention from statisticians, engineers and computer scientists. In this work we study the type of outliers that are not necessarily apparent in the…

Methodology · Statistics 2016-01-29 Yiyuan She , Shijie Li , Dapeng Wu

This study deals with the problem of outliers in ordinal response model, which is a regression on ordered categorical data as the response variable. ``Outlier" means that the combination of ordered categorical data and its covariates is…

Methodology · Statistics 2022-12-29 Tomotaka Momozaki , Tomoyuki Nakagawa

Principal component analysis (PCA) is a widely used method for data processing, such as for dimension reduction and visualization. Standard PCA is known to be sensitive to outliers, and thus, various robust PCA methods have been proposed.…

Machine Learning · Statistics 2020-08-11 Keishi Sando , Hideitsu Hino

In this paper we review existing methods for robust functional principal component analysis (FPCA) and propose a new method for FPCA that can be applied to longitudinal data where only a few observations per trajectory are available. This…

Methodology · Statistics 2020-12-04 Graciela Boente , Matias Salibian-Barrera

In recent years, passively collected GPS data have been popularly applied in various transportation studies, such as highway performance monitoring, travel behavior analysis, and travel demand estimation. Despite multiple advantages, one of…

Databases · Computer Science 2023-04-18 Qianqian Sun , Aref Darzi , Yixuan Pan

The analysis of longitudinal travel data enables investigating how mobility patterns vary across the population and identify the spatial properties thereof. The objective of this study is to identify the extent to which users explore…

Physics and Society · Physics 2021-07-01 Oded Cats , Francesco Ferranti

Purpose - The purpose of this paper is to propose a mathematical model to determine invariant sets, set covering, orbits and, in particular, attractors in the set of tourism variables. Analysis was carried out based on an algorithm and…

Social and Information Networks · Computer Science 2025-03-10 Miguel Lloret-Climent , Andrés Montoyo-Guijarro , Yoan Gutierrez-Vázquez , Rafael Muñoz-Guillena , Kristian Alonso-Stenberg

Transport policy assessment often involves causal questions, yet the causal inference capabilities of traditional travel behavioural models are at best limited. We present the deep CAusal infeRence mOdel for traveL behavIour aNAlysis…

Machine Learning · Computer Science 2024-05-06 Kimia Kamal , Bilal Farooq

Walking and cycling, commonly referred to as active travel, have become integral components of modern transport planning. Recently, there has been growing recognition of the substantial role that active travel can play in making cities more…

Physics and Society · Physics 2025-05-06 Ivann Schlosser , Valentina Marín Maureira , Richard Milton , Elsa Arcaute , Michael Batty

Background: Travel is a potent force in the emergence of disease. We discussed how the traveler case reports could aid in a timely detection of a disease outbreak. Methods: Using the traveler data, we estimated a few indicators of the…

Applications · Statistics 2020-08-28 Le Bao , Ying Zhang , Xiaoyue Niu
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