WebKeywords: High dimension; minimax optimal; partial linear additive model; semiparametric. 1. Introduction In this paper, we consider high dimensional partially linear additive models: Y = X T 0 + XJ j =1 fj (Z j)+ "; (1.1) where the Euclidean vector 0 2 R p is sparse with p > n and fj: R 7! R are nonparametric functions with possibly di erent ... WebHigh Dimensional Inference in Partially Linear Models zero. Instead, we propose two modi ed versions of the debiased Lasso estimators for 0. Both versions are shown to be …
Projected spline estimation of the nonparametric function in high …
Webtion in partially linear models with a divergent number of covariates in the linear part, under the assumption that the vector of regression coefficients is sparse. We apply the … Web11 de abr. de 2024 · Out of various viscoelasticity models, the Kelvin–Voigt model and Maxwell models are the two fundamental rheological models to analyze the dynamic properties of viscoelastic sheets. 5 5. F. F. Montiel, “ Numerical and experimental analysis of water wave scattering by floating elastic plates,” Ph.D. thesis ( University of Otago, 2012). in the kentucky derby
Debiased Distributed Learning for Sparse Partial Linear Models in …
WebWe consider a flexible semiparametric approach, namely, partially linear single-index models, for ultra high-dimensional longitudinal data. Most importantly, we allow not only the partially linear covariates but also the single-index covariates within the unknown flexible function estimated nonparametrically to be ultra high dimensional. Web30 de jun. de 2024 · This paper studies group selection for high-dimensional partially linear model with the adaptive group bridge method. We also consider the choice of γ in the bridge penalty. It is worth mentioning that we use ‘leave-one-observation-out’ cross-validation to select both λ and γ.This method can significantly reduce the computational … Web1 de set. de 2013 · We generate data from the following additive partial linear model Y i = ∑ l = 1 d X i l α l + ∑ j = 1 p g j (Z i j) + ε i, i = 1, …, n with n being the sample size, d being … in the ketchup