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In this paper, a functional partial quantile regression approach, a quantile regression analog of the functional partial least squares regression, is proposed to estimate the function-on-function linear quantile regression model. A partial…

Methodology · Statistics 2021-09-14 Ufuk Beyaztas , Han Lin Shang , Aylin Alin

Advances in IoT technologies combined with new algorithms have enabled the collection and processing of high-rate multi-source data streams that quantify human behavior in a fine-grained level and can lead to deeper insights on individual…

Quantile regression is a powerful statistical methodology that complements the classical linear regression by examining how covariates influence the location, scale, and shape of the entire response distribution and offering a global view…

Applications · Statistics 2013-09-11 Lu Xiaoming , Fan Zhaozhi

Often in surveys, key items are subject to measurement errors. Given just the data, it can be difficult to determine the distribution of this error process, and hence to obtain accurate inferences that involve the error-prone variables. In…

Methodology · Statistics 2016-10-04 Tracy Schifeling , Jerome P. Reiter , Maria DeYoreo

We develop a collection of methods for adjusting the predictions of quantile regression to ensure coverage. Our methods are model agnostic and can be used to correct for high-dimensional overfitting bias with only minimal assumptions.…

Methodology · Statistics 2025-11-10 Isaac Gibbs , John J. Cherian , Emmanuel J. Candès

The standard quantile regression model assumes a linear relationship at the quantile of interest and that all variables are observed. We relax these assumptions by considering a partial linear model while allowing for missing linear…

Methodology · Statistics 2016-06-07 Ben Sherwood

Structural Health Monitoring (SHM) is increasingly applied in civil engineering. One of its primary purposes is detecting and assessing changes in structure conditions to increase safety and reduce potential maintenance downtime. Recent…

Applications · Statistics 2025-09-23 Philipp Wittenberg , Lizzie Neumann , Alexander Mendler , Jan Gertheiss

Wearable sensors enable health researchers to continuously collect data pertaining to the physiological state of individuals in real-world settings. However, such data can be subject to extensive missingness due to a complex combination of…

Machine Learning · Computer Science 2024-06-28 Hui Wei , Maxwell A. Xu , Colin Samplawski , James M. Rehg , Santosh Kumar , Benjamin M. Marlin

Functional data often arise as sequential temporal observations over a continuous state-space. A set of functional data with a possible change in its structure may lead to a wrong conclusion if it is not taken in to account. So, sometimes,…

Methodology · Statistics 2015-03-18 Buddhananda Banerjee , Satyaki Mazumder

We propose modeling raw functional data as a mixture of a smooth function and a highdimensional factor component. The conventional approach to retrieving the smooth function from the raw data is through various smoothing techniques.…

Methodology · Statistics 2021-02-05 Yuan Gao , Han Lin Shang , Yanrong Yang

We present a novel method for variable selection in regression models when covariates are measured with error. The iterative algorithm we propose, MEBoost, follows a path defined by estimating equations that correct for covariate…

Computation · Statistics 2017-10-26 Benjamin Brown , Timothy Weaver , Julian Wolfson

A key challenge in environmental health research is unmeasured spatial confounding, driven by unobserved spatially structured variables that influence both treatment and outcome. A common approach is to fit a spatial regression that models…

Methodology · Statistics 2025-12-23 Sophie M. Woodward , Francesca Dominici , Jose R. Zubizarreta

We investigate spatial confounding in the presence of multivariate disease dependence. In the "analysis model perspective" of spatial confounding, adding a spatially dependent random effect can lead to significant variance inflation of the…

Methodology · Statistics 2026-02-13 Kyle Lin Wu , Sudipto Banerjee

We consider functional linear regression models where functional outcomes are associated with scalar predictors by coefficient functions with shape constraints, such as monotonicity and convexity, that apply to sub-domains of interest. To…

Methodology · Statistics 2025-05-09 Kyunghee Han , Yeonjoo Park , Soo-Young Kim

We introduce a new dynamic model with the capability of recognizing both activities that an individual is performing as well as where that ndividual is located. Our model is novel in that it utilizes a dynamic graphical model to jointly…

Artificial Intelligence · Computer Science 2012-07-02 Amarnag Subramanya , Alvin Raj , Jeff A. Bilmes , Dieter Fox

This paper studies estimation in functional linear quantile regression in which the dependent variable is scalar while the covariate is a function, and the conditional quantile for each fixed quantile index is modeled as a linear functional…

Statistics Theory · Mathematics 2013-02-28 Kengo Kato

Hypothesis testing procedures are developed to assess linear operator constraints in function-on-scalar regression when incomplete functional responses are observed. The approach enables statistical inferences about the shape and other…

Methodology · Statistics 2022-12-06 Yeonjoo Park , Kyunghee Han , Douglas G. Simpson

The zero-inflated logistic regression model accommodates binary responses with excess zeros, which often arise from a latent mixture of susceptible and insusceptible subpopulations or asymmetric misclassification of the response. The model…

Methodology · Statistics 2026-04-23 Yui Tomo , Shinto Eguchi , Daisuke Yoneoka

We propose inferential tools for functional linear quantile regression where the conditional quantile of a scalar response is assumed to be a linear functional of a functional covariate. In contrast to conventional approaches, we employ…

Statistics Theory · Mathematics 2022-02-25 Peijun Sang , Zuofeng Shang , Pang Du

A common type of zero-inflated data has certain true values incorrectly replaced by zeros due to data recording conventions (rare outcomes assumed to be absent) or details of data recording equipment (e.g. artificial zeros in gene…