High dimensional single index models
Webtesting problem in high-dimensional single-index model. Suitable test statistic is introduced and its asymptotic normality is also established. The paper is organized as follows. In Section 2, we develop the high-dimensional score test and study its asymptotic distributions. We introduce the two-stage procedure in Section 3. Web1 de dez. de 2016 · To treat higher dimensional predictors, the estimation procedure must be accompanied by a variable selection step. Recently, several approaches have been …
High dimensional single index models
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Web20 de jun. de 2024 · Abstract. 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. WebSingle-index models generalize linear regression. They have applications to a variety of fields, such as discrete choice analysis in econometrics and dose response models in biometrics, where high-dimensional regression models are often employed. Single-index models are similar to the first step of projection pursuit regression, a dimension …
Web20 de set. de 2014 · Single Index Model; Slicing Inverse Regression; Sufficient Dimension Reduction; License Unknown Abstract. ... The existing statistical inference, however, often encounters difficulties due to high-dimensional covariates, ... WebAbstract. In this article, we consider the problem of hypothesis testing in high-dimensional single-index models. First, we study the feasibility of applying the classical F-test to a …
Web2 de fev. de 2024 · PDF On Feb 2, 2024, Leheng Cai and others published Tests for high-dimensional single-index models * Find, read and cite all the research you need on … WebThe problem of statistical inference for regression coefficients in a high-dimensional single-index model is considered. Under elliptical symmetry, the single index model can be …
Web3 de out. de 2024 · High-dimensional non-gaussian single index models via thresholded score function estimation. In International Conference on Machine Learning, pages 3851-3860. PMLR.
Web8 de set. de 2024 · Inference In High-dimensional Single-Index Models Under Symmetric Designs. Hamid Eftekhari, Moulinath Banerjee, Ya'acov Ritov. The problem of statistical inference for regression coefficients in a high-dimensional single-index model is considered. Under elliptical symmetry, the single index model can be reformulated as a … candy cane martini with peppermint schnappsWebPreface. Preface to the First Edition. Contributors. Contributors to the First Edition. Chapter 1. Fundamentals of Impedance Spectroscopy (J.Ross Macdonald and William B. Johnson). 1.1. Background, Basic Definitions, and History. 1.1.1 The Importance of Interfaces. 1.1.2 The Basic Impedance Spectroscopy Experiment. 1.1.3 Response to a Small-Signal … fish tank replacement bulbsWebregression model when p = 1, and the traditional single-index model (Ichimura (1993)) when a(-) is a positive constant. Here we allow for heteroscedasticity. The single-index structure in (1.1) retains the flexibility of nonparametric regres sion and allows the presence of high-dimensional covariates. fish tank restaurant adelaideWeb16 de jul. de 2024 · Download PDF Abstract: In this paper, we leverage over-parameterization to design regularization-free algorithms for the high-dimensional single index model and provide theoretical guarantees for the induced implicit regularization phenomenon. Specifically, we study both vector and matrix single index models where … candy cane martini with peppermint vodkaWeb1 de jul. de 2015 · 2024. TLDR. This work considers estimating the parametric component of single index models in high dimensions using Stein's Lemma to propose estimators … candy cane marshmallow pops recipeWebIn this article, we consider the problem of hypothesis testing in high-dimensional single-index models. First, we study the feasibility of applying the classical F-test to a single-index model when the dimension of covariate vector and sample size are of the same order, and derive its asymptotic null distribution and asymptotic local power function. For … fish tank replacement filtersWeb3 de fev. de 2024 · Abstract We study the effects of high-dimensional covariates in the single-index quantile regression model. An improved version of an estimation algorithm is proposed with variable selection. Finite sample performance is studied through an extensive simulation study which highlights the performance of the new procedure. A data analysis … fish tank residence