
doi: 10.1002/cem.3452
handle: 20.500.14124/8722 , 11424/282390
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.
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
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
| 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). | 4 | |
| 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. | Top 10% | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
