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Aperta - TÜBİTAK Açık Arşivi
Other literature type . 2022
License: CC BY
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Journal of Chemometrics
Article . 2022 . Peer-reviewed
License: Wiley Online Library User Agreement
Data sources: Crossref
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On partial least‐squares estimation in scalar‐on‐function regression models

Authors: Semanur Saricam; Ufuk Beyaztas; Baris Asikgil; Han Lin Shang;

On partial least‐squares estimation in scalar‐on‐function regression models

Abstract

Abstract Scalar‐on‐function regression, where the response is scalar valued and the predictor consists of random functions, is one of the most important tools for exploring the functional relationship between a scalar response and functional predictor(s). The functional partial least‐squares method improves estimation accuracy for estimating the regression coefficient function compared to other existing methods, such as least squares, maximum likelihood, and maximum penalized likelihood. The functional partial least‐squares method is often based on the SIMPLS or NIPALS algorithm, but these algorithms can be computationally slow for analyzing a large dataset. In this study, we propose two modified functional partial least‐squares methods to efficiently estimate the regression coefficient function under the scalar‐on‐function regression. In the proposed methods, the infinite‐dimensional functional predictors are first projected onto a finite‐dimensional space using a basis expansion method. Then, two partial least‐squares algorithms, based on re‐orthogonalization of the score and loading vectors, are used to estimate the linear relationship between scalar response and the basis coefficients of the functional predictors. The finite‐sample performance and computing speed are evaluated using a series of Monte Carlo simulation studies and a sugar process dataset.

Country
Turkey
Keywords

Multidisipliner, Multidisciplinary, MULTIDISCIPLINARY SCIENCES, Temel Bilimler, Statistics, Temel Bilimler (SCI), NIPALS, Doğa Bilimleri Genel, ÇOK DİSİPLİNLİ BİLİMLER, SIMPLS, PSİKOLOJİ, MATEMATİKSEL, PSYCHOLOGY, MATHEMATICAL, PSYCHOLOGY, Psikoloji, NATURAL SCIENCES, GENERAL, İstatistik, Natural Sciences (SCI), bidiagonalization, Bidiag1, Bidiag2, Natural Sciences

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Top 10%
Average
Average
Green