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The classical functional linear regression model (FLM) and its extensions, which are based on the assumption that all individuals are mutually independent, have been well studied and are used by many researchers. This independence…

Computation · Statistics 2018-11-02 Tingting Huang , Gilbert Saporta , Huiwen Wang , Shanshan Wang

Functional data analysis (FDA) involves the analysis of data whose ideal units of observation are functions defined on some continuous domain, and the observed data consist of a sample of functions taken from some population, sampled on a…

Methodology · Statistics 2014-06-17 Jeffrey S. Morris

High-quality data is scarce in large language model (LLM) training, yet how to schedule its use jointly with training dynamics lacks theoretical guidance. We extend functional scaling laws by incorporating a data-quality dimension, and…

Machine Learning · Computer Science 2026-05-26 Zhitao Zhu , Xili Wang , Shizhe Wu , Jiawei Fu , Xiaoqing Liu

In many modern applications, a dependent functional response is observed for each subject over repeated time, leading to longitudinal functional data. In this paper, we propose a novel statistical procedure to test whether the mean function…

Methodology · Statistics 2024-01-17 Salil Koner , So Young Park , Ana-Maria Staicu

Imagine a patient in critical condition. What and when should be measured to forecast detrimental events, especially under the budget constraints? We answer this question by deep reinforcement learning (RL) that jointly minimizes the…

Machine Learning · Computer Science 2019-06-11 Chun-Hao Chang , Mingjie Mai , Anna Goldenberg

The prediction of the Remaining Useful Life of aircraft engines is a critical area in high-reliability sectors such as aerospace and defense. Early failure predictions help ensure operational continuity, reduce maintenance costs, and…

Applications · Statistics 2025-08-19 Yigitcan Yardimci , Mustafa Cavus

Designing a competent meta-reinforcement learning (meta-RL) algorithm in terms of data usage remains a central challenge to be tackled for its successful real-world applications. In this paper, we propose a sample-efficient meta-RL…

Machine Learning · Computer Science 2023-12-12 Jaeuk Shin , Giho Kim , Howon Lee , Joonho Han , Insoon Yang

In this survey paper, we systematically summarize existing literature on bearing fault diagnostics with machine learning (ML) and data mining techniques. While conventional ML methods, including artificial neural network (ANN), principal…

Machine Learning · Computer Science 2020-02-20 Shen Zhang , Shibo Zhang , Bingnan Wang , Thomas G. Habetler

Reinforcement Learning (RL) is a potent tool for sequential decision-making and has achieved performance surpassing human capabilities across many challenging real-world tasks. As the extension of RL in the multi-agent system domain,…

Artificial Intelligence · Computer Science 2024-08-20 Ruiqi Zhang , Jing Hou , Florian Walter , Shangding Gu , Jiayi Guan , Florian Röhrbein , Yali Du , Panpan Cai , Guang Chen , Alois Knoll

Estimation and inference with modern longitudinal data from wearable devices, which consist of biological signals at high-frequency time points, is burdened by massive computational costs. We propose a distributed estimation and inference…

Methodology · Statistics 2023-09-13 Cole Manschot , Emily C. Hector

With the increasing availability of data for Prognostics and Health Management (PHM), Deep Learning (DL) techniques are now the subject of considerable attention for this application, often achieving more accurate Remaining Useful Life…

Machine Learning · Statistics 2023-01-25 Anass Akrim , Christian Gogu , Rob Vingerhoeds , Michel Salaün

The advent of big data has raised significant challenges in analysing high-dimensional datasets across various domains such as medicine, ecology, and economics. Functional Data Analysis (FDA) has proven to be a robust framework for…

Machine Learning · Statistics 2024-08-23 Fabrizio Maturo , Annamaria Porreca

This paper introduces a new data analysis method for big data using a newly defined regression model named multiple model linear regression(MMLR), which separates input datasets into subsets and construct local linear regression models of…

Machine Learning · Computer Science 2023-08-25 Bohan Lyu , Jianzhong Li

Disease progression modeling (DPM) using longitudinal data is a challenging task in machine learning for healthcare that can provide clinicians with better tools for diagnosis and monitoring of disease. Existing DPM algorithms neglect…

Computer Vision and Pattern Recognition · Computer Science 2018-08-17 Mostafa Mehdipour Ghazi , Mads Nielsen , Akshay Pai , M. Jorge Cardoso , Marc Modat , Sebastien Ourselin , Lauge Sørensen

Functional logistic regression is a popular model to capture a linear relationship between binary response and functional predictor variables. However, many methods used for parameter estimation in functional logistic regression are…

Methodology · Statistics 2025-10-15 Berkay Akturk , Ufuk Beyaztas , Han Lin Shang

Limited availability of representative time-to-failure (TTF) trajectories either limits the performance of deep learning (DL)-based approaches on remaining useful life (RUL) prediction in practice or even precludes their application.…

Machine Learning · Computer Science 2023-05-09 Jiawei Xiong , Olga Fink , Jian Zhou , Yizhong Ma

This paper concerns the use of neural networks for predicting the residual life of machines and components. In addition, the advantage of using condition-monitoring data to enhance the predictive capability of these neural networks was also…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 M. A. Herzog , T. Marwala , P. S. Heyns

Partial Label Learning (PLL) is a type of weakly supervised learning where each training instance is assigned a set of candidate labels, but only one label is the ground-truth. However, this idealistic assumption may not always hold due to…

Machine Learning · Computer Science 2023-09-01 Yu Shi , Dong-Dong Wu , Xin Geng , Min-Ling Zhang

A functional linear discriminant analysis approach to classify a set of kinematic data (human movement curves of individuals performing different physical activities) is performed. Kinematic data, usually collected in linear acceleration or…

Methodology · Statistics 2024-02-09 M Carmen Aguilera-Morillo , Ana M Aguilera

Measurement error is an important problem that has not been very well studied in the context of Functional Data Analysis. To the best of our knowledge, there are no existing methods that address the presence of functional measurement errors…

Statistics Theory · Mathematics 2018-09-19 Sneha Jadhav , Shuangge Ma