High-dimensional partially linear model

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 SCAD penalty to achieve sparsity in the linear part and use polynomial splines to estimate the nonparametric component. Un- WebIn this paper, we consider the local asymptotics of the nonparametric function in a partially linear model, within the framework of the divide-and-conquer estimation. Unlike the fixed-dimensional setting in which the parametric part does not affect the nonparametric part, the high-dimensional setting makes the issue more complicated. In particular, when a …

Variable selection in high-dimensional partially linear additive models ...

Web31 de mar. de 2009 · SCAD-penalized regression in high-dimensional partially linear models. Huiliang Xie, Jian Huang. We consider the problem of simultaneous variable … Web3 de jul. de 2013 · It is shown that a high‐dimensional linear part can be estimated with oracle rates, using the least absolute shrinkage and selection operator penalty for the linear part and a smoothness Penalty for the nonparametric part. Partial linear models have been widely used as flexible method for modelling linear components in conjunction with … irobot virtual wall manual https://thevoipco.com

SCAD-penalized regression in high-dimensional partially linear …

Web7 de ago. de 2013 · An RKHS-based approach to double-penalized regression in high-dimensional partially linear models. Journal of Multivariate Analysis, Vol. 168, Issue. , p. 201. CrossRef; Google Scholar; Zhang, Jun and Lian, Heng 2024. Partially Linear Additive Models with Unknown Link Functions. 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 ... Web20 de jun. de 2024 · Single-index models are potentially important tools for multivariate nonparametric regression analysis. They generalize linear regression models by replacing the linear combination \(\alpha^T_0\) with a nonparametric component \(\eta_0({\alpha^T_0})X\), where \(\eta_0(\cdot)\) is an unknown univariate link function. … irobot vacuums with hepa filter

Learning rates for partially linear support vector machine in high ...

Category:Variable selection for partially linear models via partial correlation

Tags:High-dimensional partially linear model

High-dimensional partially linear model

Minimax Optimal Estimation in Partially Linear Additive Models …

WebTests for regression coefficients in high dimensional partially linear models Stat Probab Lett. 2024 Aug;163:108772. doi: 10.1016/j.spl.2024.108772. Epub 2024 Apr 9. Authors Yan Liu 1 2 , Sanguo Zhang 1 2 , Shuangge Ma 3 , Qingzhao Zhang 4 Affiliations 1 School of Mathematical Sciences, University of Chinese Academy of ...

High-dimensional partially linear model

Did you know?

Web1 de jan. de 2024 · Abstract. Quantile regression for functional partially linear model in ultra-high dimensions is proposed and studied. By focusing on the conditional quantiles, … Web29 de mar. de 2024 · We consider a semiparametric additive partially linear regression model (APLM) for analysing ultra-high-dimensional data where both the number of …

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 … Webvariable selection in high-dimensional partially faithful linear models under assumptions on the design matrix that are very different from coherence assumptions for penalty-based methods. The pc-simple algorithm can also be viewed as a generalization of correlation screening or sure independence screening (Fan & Lv, 2008).

Web24 de mai. de 2024 · Download PDF Abstract: This paper proposes a regularized pairwise difference approach for estimating the linear component coefficient in a partially linear model, with consistency and exact rates of convergence obtained in high dimensions under mild scaling requirements. Our analysis reveals interesting features such as (i) the … Web25 de mar. de 2024 · @article{osti_1969272, title = {Bi-Fidelity Modeling of Uncertain and Partially Unknown Systems Using DeepONets}, author = {De, Subhayan and Reynolds, Matthew and Hassanaly, Malik and King, Ryan N. and Doostan, Alireza}, abstractNote = {Recent advances in modeling large-scale, complex physical systems have shifted …

Web3 de jul. de 2013 · Partial linear models have been widely used as flexible method for modelling linear components in conjunction with non-parametric ones. Despite the presence of the non-parametric part, the linear, parametric part can under certain conditions be estimated with parametric rate. In this paper, we consider a high-dimensional linear …

Weblinear transformations of the unit square, ... [26], analog recurrent neural networks [30], high dimensional potential wells [31] and more recently incompressible fluids in various contexts [12, 14, 15]. ... This symbolic model can be partially embedded in the evolution of a countably piecewise linear map of the unit square. irobot vision statementWebsult empirically on several high-dimensional multiple regression and classification problems. 1 Introduction Hierarchical modeling is a mainstay of Bayesian inference. For instance, in (generalized) linear models, the unknown parameters are effects, each of which describes the association of a particular covariate with a response of interest. irobot warranty registrationWeb8 de ago. de 2024 · proposed the debiased Lasso for high dimensional linear models. These estimators are non-sparse, have a limiting normal distribution, and do not require … irobot voice commandsWeb10 de set. de 2024 · Distributed Partially Linear Additive Models With a High Dimensional Linear Part Abstract: We study how the divide and conquer principle works in high-dimensional partially linear additive models when the dimension of the linear part is … port linux driver to windowsWebAND PARAMETRIC PARTS IN HIGH-DIMENSIONAL PARTIALLY LINEAR ADDITIVE MODELS Heng Lian, Hua Liang and David Ruppert University of New South Wales, George Washington University ... a result, the partially linear additive model, a more parsimonious special case of (1.1), has been proposed and studied (Opsomer and Ruppert (1999); Liu, … irobot warranty checkWeb1 de abr. de 2024 · We consider partially linear quantile regression with a high-dimensional linear part, with the nonparametric function assumed to be in a reproducing kernel Hilbert space.We establish the overall learning rate in this setting, as well as the rate of the linear part separately. Our proof relies heavily on the empirical processes and the … irobot virtual wall scheduler instructionsWeb31 de mar. de 2009 · SCAD-penalized regression in high-dimensional partially linear models. We consider the problem of simultaneous variable selection and estimation in … irobot warranty phone number