High-dimensional partially linear model
Web13 de mar. de 2024 · In this paper, we simultaneously study variable selection and estimation problems for sparse ultra-high dimensional partially linear varying … WebThe partially linear model (PLM) is a useful semiparametric extension of the linear model that has been well studied in the statistical literature. ... Grouped variable selection in …
High-dimensional partially linear model
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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 … 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. , …
Web24 de mai. de 2024 · Abstract: This paper proposes a regularized pairwise difference approach for estimating the linear component coefficient in a partially linear model, with … 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).
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 ... Web1 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 …
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. fly thionvilleWeb20 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. … fly thisWeb11 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). green plymouth roadrunnerWebContext-Based Dynamic Pricing with Partially Linear Demand Model. Extra-Newton: A First Approach to Noise-Adaptive Accelerated Second-Order Methods. ... High-dimensional Additive Gaussian Processes under Monotonicity Constraints. On the generalization of learning algorithms that do not converge. fly this flag lyricsWebHigh 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 … greenply mumbai officeWeb1 de dez. de 2024 · Partially linear regression models are semiparametric models that contain both linear and nonlinear components. They are extensively used in many … flythissim batdWeblinear 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. greenply owner