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Classical multivariate principal component analysis has been extended to functional data and termed functional principal component analysis (FPCA). Most existing FPCA approaches do not accommodate covariate information, and it is the goal…

Statistics Theory · Mathematics 2010-03-02 Ci-Ren Jiang , Jane-Ling Wang

Linear Discriminant Analysis (LDA) is a well-known method for dimensionality reduction and classification. Previous studies have also extended the binary-class case into multi-classes. However, many applications, such as object detection…

Machine Learning · Computer Science 2013-09-24 Gang Chen

Functional binary datasets occur frequently in real practice, whereas discrete characteristics of the data can bring challenges to model estimation. In this paper, we propose a sparse logistic functional principal component analysis…

Methodology · Statistics 2021-09-17 Rou Zhong , Shishi Liu , Haocheng Li , Jingxiao Zhang

Registration of multivariate functional data involves handling of both cross-component and cross-observation phase variations. Allowing for the two phase variations to be modelled as general diffeomorphic time warpings, in this work we…

Methodology · Statistics 2022-07-25 Xiaohan Guo , Sebastian Kurtek , Karthik Bharath

This work studies the multi-task functional linear regression models where both the covariates and the unknown regression coefficients (called slope functions) are curves. For slope function estimation, we employ penalized splines to…

Statistics Theory · Mathematics 2023-08-02 Shiyuan He , Hanxuan Ye , Kejun He

This article proposes a comprehensive investigation of the automatic classification of functional gait disorders based solely on ground reaction force (GRF) measurements. The aim of the study is twofold: (1) to investigate the suitability…

Computer Vision and Pattern Recognition · Computer Science 2022-02-09 Djordje Slijepcevic , Matthias Zeppelzauer , Anna-Maria Gorgas , Caterine Schwab , Michael Schüller , Arnold Baca , Christian Breiteneder , Brian Horsak

This paper gives a comprehensive treatment of the convergence rates of penalized spline estimators for simultaneously estimating several leading principal component functions, when the functional data is sparsely observed. The penalized…

Statistics Theory · Mathematics 2024-02-09 Shiyuan He , Jianhua Z. Huang , Kejun He

Multivariate functional data present theoretical and practical complications which are not found in univariate functional data. One of these is a situation where the component functions of multivariate functional data are positive and are…

Methodology · Statistics 2023-03-09 Cody Carroll , Hans-Georg Müller

Processing sequential multi-sensor data becomes important in many tasks due to the dramatic increase in the availability of sensors that can acquire sequential data over time. Human Activity Recognition (HAR) is one of the fields which are…

Machine Learning · Computer Science 2020-11-24 Zeyd Boukhers , Danniene Wete , Steffen Staab

We present a novel approach to the formulation and the resolution of sparse Linear Discriminant Analysis (LDA). Our proposal, is based on penalized Optimal Scoring. It has an exact equivalence with penalized LDA, contrary to the multi-class…

Machine Learning · Computer Science 2012-07-03 Luis Francisco Sanchez Merchante , Yves Grandvalet , Gerrad Govaert

In this article, we propose a penalized clustering method for large scale data with multiple covariates through a functional data approach. In the proposed method, responses and covariates are linked together through nonparametric…

Methodology · Statistics 2008-01-17 Ping Ma , Wenxuan Zhong

This paper provides a simple solution for reliably solving image classification tasks tied to spatial locations of salient objects in the scene. Unlike conventional image classification approaches that are designed to be invariant to…

Computer Vision and Pattern Recognition · Computer Science 2019-10-22 Akshay Rangesh , Mohan M. Trivedi

Smartphones, smartwatches, fitness trackers, and ad-hoc wearable devices are being increasingly used to monitor human activities. Data acquired by the hosted sensors are usually processed by machine-learning-based algorithms to classify…

Computer Vision and Pattern Recognition · Computer Science 2017-08-09 Daniela Micucci , Marco Mobilio , Paolo Napoletano

The problem of human activity recognition is central for understanding and predicting the human behavior, in particular in a prospective of assistive services to humans, such as health monitoring, well being, security, etc. There is…

Machine Learning · Statistics 2013-12-30 Faicel Chamroukhi , Samer Mohammed , Dorra Trabelsi , Latifa Oukhellou , Yacine Amirat

Smartphones and smartwatches are ever-present in daily life, and provide a rich source of information on their users' behaviour. In particular, digital traces derived from the phone's embedded movement sensors present an opportunity for a…

Machine Learning · Computer Science 2025-12-04 Conor McCarthy , Jan Peter van Zandwijk , Marcel Worring , Zeno Geradts

Linear discriminant analysis (LDA) is a well-known method for multiclass classification and dimensionality reduction. However, in general, ordinary LDA does not achieve high prediction accuracy when observations in some classes are…

Methodology · Statistics 2021-07-07 Kei Hirose , Kanta Miura , Atori Koie

Purpose: We compared the performance of deep learning (DL) and classical machine learning (ML) algorithms for the classification of 24-hour movement behavior into sleep, sedentary, light intensity physical activity (LPA), and…

Machine Learning · Computer Science 2025-09-11 Alireza Sameh , Mehrdad Rostami , Mourad Oussalah , Vahid Farrahi

In many social, economical, biological and medical studies, one objective is to classify a subject into one of several classes based on a set of variables observed from the subject. Because the probability distribution of the variables is…

Statistics Theory · Mathematics 2011-05-19 Jun Shao , Yazhen Wang , Xinwei Deng , Sijian Wang

The increasingly wide usage of location aware sensors has made it possible to collect large volume of trajectory data in diverse application domains. Machine learning allows to study the activities or behaviours of moving objects (e.g.,…

Machine Learning · Computer Science 2023-01-12 Mashud Rana , Ashfaqur Rahman , Daniel Smith

Inertial measurement units have the ability to accurately record the acceleration and angular velocity of human limb segments during discrete joint movements. These movements are commonly used in exercise rehabilitation programmes following…

Human-Computer Interaction · Computer Science 2018-12-11 Antonio Bevilacqua , Bingquan Huang , Rob Argent , Brian Caulfield , Tahar Kechadi