Functional regression

JS Morris - Annual Review of Statistics and Its Application, 2015 - annualreviews.org
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 …

System identification: A machine learning perspective

A Chiuso, G Pillonetto - Annual Review of Control, Robotics, and …, 2019 - annualreviews.org
Estimation of functions from sparse and noisy data is a central theme in machine learning. In
the last few years, many algorithms have been developed that exploit Tikhonov …

Kernel methods in system identification, machine learning and function estimation: A survey

G Pillonetto, F Dinuzzo, T Chen, G De Nicolao, L Ljung - Automatica, 2014 - Elsevier
Most of the currently used techniques for linear system identification are based on classical
estimation paradigms coming from mathematical statistics. In particular, maximum likelihood …

Wasserstein regression

Y Chen, Z Lin, HG Müller - Journal of the American Statistical …, 2023 - Taylor & Francis
The analysis of samples of random objects that do not lie in a vector space is gaining
increasing attention in statistics. An important class of such object data is univariate …

Minimax and adaptive prediction for functional linear regression

TT Cai, M Yuan - Journal of the American Statistical Association, 2012 - Taylor & Francis
This article considers minimax and adaptive prediction with functional predictors in the
framework of functional linear model and reproducing kernel Hilbert space. Minimax rate of …

Transfer learning-based state of charge and state of health estimation for Li-ion batteries: A review

L Shen, J Li, L Meng, L Zhu… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
State of charge (SOC) and state of health (SOH) estimation play a vital role in battery
management systems (BMSs). Accurate and robust state estimation can prevent Li-ion …

Predicting clinical outcomes in glioblastoma: an application of topological and functional data analysis

L Crawford, A Monod, AX Chen… - Journal of the …, 2020 - Taylor & Francis
Glioblastoma multiforme (GBM) is an aggressive form of human brain cancer that is under
active study in the field of cancer biology. Its rapid progression and the relative time cost of …

Functional generalized additive models

MW McLean, G Hooker, AM Staicu… - … of Computational and …, 2014 - Taylor & Francis
We introduce the functional generalized additive model (FGAM), a novel regression model
for association studies between a scalar response and a functional predictor. We model the …

Estimation in functional linear quantile regression

K Kato - 2012 - projecteuclid.org
Supplement to “Estimation in functional linear quantile regression”. This supplementary file
contains the additional discussion on the connection to nonlinear ill-posed inverse …

Generalized scalar-on-image regression models via total variation

X Wang, H Zhu… - Journal of the …, 2017 - Taylor & Francis
The use of imaging markers to predict clinical outcomes can have a great impact in public
health. The aim of this article is to develop a class of generalized scalar-on-image …