Linear scalar-on-surface random effects regression models

W Wang, Z Fang - Journal of Applied Statistics, 2019 - Taylor & Francis
Many research fields increasingly involve analyzing data of a complex structure. Models
investigating the dependence of a response on a predictor have moved beyond the ordinary …

Machine Learning Alternatives to Response Surface Models

B Ghattas, D Manzon - Mathematics, 2023 - mdpi.com
In the Design of Experiments, we seek to relate response variables to explanatory factors.
Response Surface methodology (RSM) approximates the relation between output variables …

Multivariate functional response low‐rank regression with an application to brain imaging data

X Ding, D Yu, Z Zhang, D Kong - Canadian Journal of Statistics, 2021 - Wiley Online Library
We propose a multivariate functional response low‐rank regression model with possible
high‐dimensional functional responses and scalar covariates. By expanding the slope …

Scalar-on-image regression via the soft-thresholded Gaussian process

J Kang, BJ Reich, AM Staicu - Biometrika, 2018 - academic.oup.com
This work concerns spatial variable selection for scalar-on-image regression. We propose a
new class of Bayesian nonparametric models and develop an efficient posterior …

Parametric mode regression for bounded responses

H Zhou, X Huang… - Biometrical …, 2020 - Wiley Online Library
We propose new parametric frameworks of regression analysis with the conditional mode of
a bounded response as the focal point of interest. Covariate effects estimation and …

Pointwise influence matrices for functional‐response regression

PT Reiss, L Huang, PS Wu, H Chen, S Colcombe - Biometrics, 2017 - Wiley Online Library
We extend the notion of an influence or hat matrix to regression with functional responses
and scalar predictors. For responses depending linearly on a set of predictors, our definition …

[PDF][PDF] Linear mixed models for measurement error in functional regression

N Heckman, W Wang - 2007 - researchgate.net
Regression models with a scalar response and a functional predictor have been extensively
studied. One approach is to approximate the functional predictor using eigenfunction …

Logistic regression error‐in‐covariate models for longitudinal high‐dimensional covariates

H Park, S Lee - Stat, 2019 - Wiley Online Library
We consider a logistic regression model for a binary response where part of its covariates
are subject‐specific random intercepts and slopes from a large number of longitudinal …

Functional support vector machine

S Xie, RT Ogden - Biostatistics, 2024 - academic.oup.com
Linear and generalized linear scalar-on-function modeling have been commonly used to
understand the relationship between a scalar response variable (eg continuous, binary …

Function-on-function linear regression by signal compression

R Luo, X Qi - Journal of the American Statistical Association, 2017 - Taylor & Francis
We consider functional linear regression models with a functional response and multiple
functional predictors, with the goal of finding the best finite-dimensional approximation to the …