Web11 de abr. de 2024 · Model checking methods based on non-parametric estimation are widely used because of their tractable limiting null distributions and being sensitive to high-frequency oscillation alternative models. However, this kind of test suffers from the curse of dimensionality, resulting in slow convergence, especially for functional data with infinite … Web13 de mar. de 2016 · Single Index Models (SIMs) are simple yet flexible semi- parametric models for machine learning, where the response variable is modeled as a monotonic function of a linear combination of features. Estimation in this context requires learning both the feature weights and the nonlinear function that relates features to observations. …
Understanding Implicit Regularization in Over-Parameterized Single ...
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 … Webpropagation error, see Klock et al. (2024). The analysis of high-dimensional multi-index models, where p≫ n, is rather limited. We use a PAC-Bayesian estimation approach, see Guedj (2024) and Alquier (2024) for an overview, which was originally developed by Catoni (2004, 2007) and has been adapted to the single-index model razer hav a gaming chair
Forward selection and estimation in high dimensional single index …
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, ... 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. Web16 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 … razer headphone ear cups