Cross-Validation in Function Estimation

نویسنده

  • Chong Gu
چکیده

Cross-validation is an intuitive and effective technique for model selection in data analysis. In this discussion, I try to present a few incarnations of the general technique in a few nonparametric function estimation settings. Justifications of the technique in Gaussian regression settings will be discussed, along with possible reasons for the lack of similar justification in other settings. There will be discussions of some subtle conceptual issues which put certain widely adopted concepts/practice under scrutiny.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Large-scale Inversion of Magnetic Data Using Golub-Kahan Bidiagonalization with Truncated Generalized Cross Validation for Regularization Parameter Estimation

In this paper a fast method for large-scale sparse inversion of magnetic data is considered. The L1-norm stabilizer is used to generate models with sharp and distinct interfaces. To deal with the non-linearity introduced by the L1-norm, a model-space iteratively reweighted least squares algorithm is used. The original model matrix is factorized using the Golub-Kahan bidiagonalization that proje...

متن کامل

Robust Cross-Validation Score Functions with Application to Weighted Least Squares Support Vector Machine Function Estimation

In this paper new robust methods for tuning regularization parameters or other tuning parameters of a learning process for non-linear function estimation are proposed: repeated robust cross-validation score functions (repeated-CV Robust V −fold) and a robust generalized cross-validation score function (GCVRobust). Both methods are effective for dealing with outliers and non-Gaussian noise distr...

متن کامل

An Explicit Example of Leave-One-Out Cross-Validation Parameter Estimation for a Univariate Radial Basis Function

We give an explicit example for the selection of the shape parameter for a certain univariate radial basis function (RBF) interpolation problem.

متن کامل

Determining optimal value of the shape parameter $c$ in RBF for unequal distances topographical points by Cross-Validation algorithm

Several radial basis function based methods contain a free shape parameter which has  a crucial role in the accuracy of the methods. Performance evaluation of this parameter in different  functions with various data has always been a topic of study. In the present paper, we consider studying the methods which determine an optimal value for the shape parameter in interpolations of radial basis  ...

متن کامل

Robust Cross-Validation Score Function for Non-linear Function Estimation

In this paper a new method for tuning regularisation parameters or other hyperparameters of a learning process (non-linear function estimation) is proposed, called robust cross-validation score function (CV S−fold). CV Robust S−fold is effective for dealing with outliers and nonGaussian noise distributions on the data. Illustrative simulation results are given to demonstrate that the CV S−fold ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2006