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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

We propose a new lack-of-fit test for quantile regression models that is suitable even with high-dimensional covariates. The test is based on the cumulative sum of residuals with respect to unidimensional linear projections of the…

Accurate monitoring of eating behavior is crucial for managing obesity and eating disorders such as bulimia nervosa. At the same time, existing methods rely on multiple and/or specialized sensors, greatly harming adherence and ultimately,…

Signal Processing · Electrical Eng. & Systems 2025-12-09 Ioannis Levi , Konstantinos Kyritsis , Vasileios Papapanagiotou , Georgios Tsakiridis , Anastasios Delopoulos

This paper considers identification and estimation of distributional effect parameters that depend on the joint distribution of an outcome and another variable of interest ("treatment") in a setting with "two-sided" measurement error --…

Econometrics · Economics 2025-09-23 Brantly Callaway , Tong Li , Irina Murtazashvili , Emmanuel Tsyawo

Various indicators and measures of the real life procedures rise up as functionals of the quantile process of a parent random variable Z. However, Z can be observed only through a response in a linear model whose covariates are not under…

Methodology · Statistics 2024-04-04 Jana Jurečková , Jan Picek , Jan Kalina

We consider high-dimensional generalized linear models when the covariates are contaminated by measurement error. Estimates from errors-in-variables regression models are well-known to be biased in traditional low-dimensional settings if…

Computation · Statistics 2020-01-06 Michael Byrd , Monnie McGee

Incomplete covariate vectors are known to be problematic for estimation and inferences on model parameters, but their impact on prediction performance is less understood. We develop an imputation-free method that builds on a random…

Methodology · Statistics 2024-05-31 Matthew J. Heiner , Garritt L. Page , Fernando Andrés Quintana

The growing need for technology that supports remote healthcare is being acutely highlighted by an aging population and the COVID-19 pandemic. In health-related machine learning applications the ability to learn predictive models without…

Computer Vision and Pattern Recognition · Computer Science 2022-03-14 Xin Liu , Mingchuan Zhang , Ziheng Jiang , Shwetak Patel , Daniel McDuff

This paper considers the modeling of zero-inflated circular measurements concerning real case studies from medical sciences. Circular-circular regression models have been discussed in the statistical literature and illustrated with various…

Methodology · Statistics 2022-01-04 Jayant Jha , Prajamitra Bhuyan

Various health-care applications such as assisted living, fall detection, etc., require modeling of user behavior through Human Activity Recognition (HAR). Such applications demand characterization of insights from multiple…

Machine Learning · Computer Science 2020-12-07 Gautham Krishna Gudur , Satheesh K. Perepu

Increased use of sensor signals from wearable devices as rich sources of physiological data has sparked growing interest in developing health monitoring systems to identify changes in an individual's health profile. Indeed, machine learning…

Machine Learning · Computer Science 2022-10-17 Magda Amiridi , Gregory Darnell , Sean Jewell

With the rapid development of wearable device technologies, accelerometers can record minute-by-minute physical activity for consecutive days, which provides important insight into a dynamic association between the intensity of physical…

Methodology · Statistics 2024-09-06 Cheng Cao , Jiguo Cao , Hao Pan , Yunting Zhang , Fan Jiang , Xinyue Li

Wearable sensor data offer opportunities for personalized health monitoring, yet deriving actionable insights from their complex, longitudinal data streams is challenging. This paper introduces a framework to learn personalized…

Machine Learning · Computer Science 2025-08-21 Ajan Subramanian , Amir M. Rahmani

We consider the problem of state estimation in dynamical systems and propose a different mechanism for handling unmodeled system uncertainties. Instead of injecting random process noise, we assign different weights to measurements so that…

Information Theory · Computer Science 2020-09-08 Yaron Shulami , Daniel Sigalov

We study a high-dimensional regression setting under the assumption of known covariate distribution. We aim at estimating the amount of explained variation in the response by the best linear function of the covariates (the signal level). In…

Statistics Theory · Mathematics 2022-05-12 Ilan Livne , David Azriel , Yair Goldberg

Recent advances in wearable technology have enabled the continuous monitoring of vital physiological signals, essential for predictive modeling and early detection of extreme physiological events. Among these physiological signals, heart…

Applications · Statistics 2025-08-13 Vaibhav Gupta , Maria Maleshkova

Regression calibration as developed by Rosner, Spiegelman and Willet is used to correct the bias in effect estimates due to measurement error in continuous exposures. The method involves two models: a measurement error model (MEM) relating…

Methodology · Statistics 2026-02-24 Wenze Tang , Donna Spiegelman , Xiaomei Liao , Molin Wang

In this paper, we study a novel approach for the estimation of quantiles when facing potential right censoring of the responses. Contrary to the existing literature on the subject, the adopted strategy of this paper is to tackle censoring…

Methodology · Statistics 2017-03-24 Mickaël De Backer , Anouar El Ghouch , Ingrid Van Keilegom

The estimation of regression parameters in spatially referenced data plays a crucial role across various scientific domains. A common approach involves employing an additive regression model to capture the relationship between observations…

Statistics Theory · Mathematics 2024-03-29 David Bolin , Jonas Wallin

We propose a computationally efficient inferential procedure for longitudinal function-on-function regression. The method follows a marginal three-step approach: (1) fit massive pointwise longitudinal scalar-on-function regression models,…

Methodology · Statistics 2026-05-04 Leif Verace , Siobhan McMahon , Erjia Cui