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Related papers: Partial Least Squares for Functional Joint Models

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The least trimmed squares (LTS) estimator is a renowned robust alternative to the classic least squares estimator and is popular in location, regression, machine learning, and AI literature. Many studies exist on LTS, including its…

Machine Learning · Statistics 2025-01-10 Yijun Zuo

In this study, a longitudinal regression model for covariance matrix outcomes is introduced. The proposal considers a multilevel generalized linear model for regressing covariance matrices on (time-varying) predictors. This model…

Methodology · Statistics 2022-02-10 Yi Zhao , Brian S. Caffo , Xi Luo

The purpose of this paper is to indicate that the recently proposed Momentum fractional least mean squares (mFLMS) algorithm has some serious flaws in its design and analysis. Our apprehensions are based on the evidence we found in the…

Optimization and Control · Mathematics 2018-05-22 Shujaat Khan , Imran Naseem , Alishba Sadiq , Jawwad Ahmad , Muhammad Moinuddin

Precision medicine seeks to discover an optimal personalized treatment plan and thereby provide informed and principled decision support, based on the characteristics of individual patients. With recent advancements in medical imaging, it…

Methodology · Statistics 2023-04-26 Xinyi Li , Michael R. Kosorok

Partial Least Square (PLS) is a dimension reduction method used to remove multicollinearities in a regression model. However contrary to Principal Components Analysis (PCA) the PLS components are also choosen to be optimal for predicting…

Statistics Theory · Mathematics 2014-05-26 Mélanie Blazère , Fabrice Gamboa , Jean-Michel Loubes

Functional connectivity (FC) derived from resting-state fMRI plays a critical role in personalized predictions such as age and cognitive performance. However, applying foundation models(FM) to fMRI data remains challenging due to its high…

Neurons and Cognition · Quantitative Biology 2025-08-26 Yanwen Wang , Xinglin Zhao , Yijin Song , Xiaobo Liu , Yanrong Hao , Rui Cao , Xin Wen

Interactions between the brain and body are of fundamental importance for human behavior and health. Functional magnetic resonance imaging (fMRI) captures whole-brain activity noninvasively, and modeling how fMRI signals interact with…

Federated learning (FL) has been widely employed for medical image analysis to facilitate multi-client collaborative learning without sharing raw data. Despite great success, FL's performance is limited for multiple sclerosis (MS) lesion…

Multiple penalized least squares (MPLS) models are a flexible approach to find adaptive least squares solutions required to be simultaneously sparse and smooth. This is particularly important when addressing real-life inverse problems where…

Semantic segmentation of functional magnetic resonance imaging (fMRI) makes great sense for pathology diagnosis and decision system of medical robots. The multi-channel fMRI provides more information of the pathological features. But the…

Computer Vision and Pattern Recognition · Computer Science 2017-07-12 Lei Tai , Haoyang Ye , Qiong Ye , Ming Liu

Latent structure methods, specifically linear continuous latent structure methods, are a type of fundamental statistical learning strategy. They are widely used for dimension reduction, regression and prediction, in the fields of…

Methodology · Statistics 2025-08-07 Clara Grazian , Qian Jin , Pierre Lafaye De Micheaux

Incorporating covariates into functional principal component analysis (PCA) can substantially improve the representation efficiency of the principal components and predictive performance. However, many existing functional PCA methods do not…

Methodology · Statistics 2023-08-22 Fei Ding , Shiyuan He , David E. Jones , Jianhua Z. Huang

The partial least squares (PLS) is a popular modeling technique commonly used in social sciences. The traditional PLS algorithm deals with variables measured on interval scales while data are often collected on ordinal scales: a…

Methodology · Statistics 2012-12-21 Gabriele Cantaluppi

In recent years, the number of papers on Alzheimer's disease classification has increased dramatically, generating interesting methodological ideas on the use machine learning and feature extraction methods. However, practical impact is…

We study a functional linear regression model that deals with functional responses and allows for both functional covariates and high-dimensional vector covariates. The proposed model is flexible and nests several functional regression…

Statistics Theory · Mathematics 2022-08-24 Daren Wang , Zifeng Zhao , Yi Yu , Rebecca Willett

Functional data analysis is a fast evolving branch of modern statistics and the functional linear model has become popular in recent years. However, most estimation methods for this model rely on generalized least squares procedures and…

Methodology · Statistics 2020-06-24 Ioannis Kalogridis , Stefan Van Aelst

Few-shot semantic segmentation (FSS) methods have shown great promise in handling data-scarce scenarios, particularly in medical image segmentation tasks. However, most existing FSS architectures lack sufficient interpretability and fail to…

Computer Vision and Pattern Recognition · Computer Science 2025-02-11 Shengdong Zhang , Fan Jia , Xiang Li , Hao Zhang , Jun Shi , Liyan Ma , Shihui Ying

With the wide adoption of functional magnetic resonance imaging (fMRI) by cognitive neuroscience researchers, large volumes of brain imaging data have been accumulated in recent years. Aggregating these data to derive scientific insights…

Applications · Statistics 2020-06-01 Ming Bo Cai , Michael Shvartsman , Anqi Wu , Hejia Zhang , Xia Zhu

Partial Least Squares (PLS) is a widely used method for data integration, designed to extract latent components shared across paired high-dimensional datasets. Despite decades of practical success, a precise theoretical understanding of its…

Machine Learning · Statistics 2025-12-18 Victor Léger , Florent Chatelain

We introduce a novel longitudinal mixed model for analyzing complex multidimensional functional data, addressing challenges such as high-resolution, structural complexities, and computational demands. Our approach integrates dimension…

Methodology · Statistics 2026-02-16 Arkaprava Roy , Abhra Sarkar