Robust estimation of dimension reduction space
نویسندگان
چکیده
منابع مشابه
Robust estimation of dimension reduction space
Most dimension reduction methods based on nonparametric smoothing are highly sensitive to outliers and to data coming from heavy-tailed distributions. We show that the recently proposed methods by Xia et al. (2002) can be made robust in such a way that preserves all advantages of the original approach. Their extension based on the local one-step M-estimators is sufficiently robust to outliers a...
متن کاملTitle Estimation of the Effective Dimension Reduction (edr) Space
Description The library contains R-functions to estimate the effective dimension reduction space in multi-index regression models.
متن کاملDimension Reduction in Euclidean Space
Observer that for any three points, if the three distances between them are given, then the three angles are fixed. Given n−1 vectors, the vectors together with the origin form a set of n points. In fact, given any n points in Euclidean space (in n−1 dimensions), the Johnson-Lindenstrauss Lemma states that the n points can be placed in O( logn 2 ) dimensions such that distances are preserved wi...
متن کاملThe Robust Clustering with Reduction Dimension
A clustering is process to identify a homogeneous groups of object called as cluster. Clustering is one interesting topic on data mining. A group or class behaves similarly characteristics. This paper discusses a robust clustering process for data images with two reduction dimension approaches; i.e. the two dimensional principal component analysis (2DPCA) and principal component analysis (PCA)....
متن کاملA Posteriori Estimation of Dimension Reduction Errors
A new a posteriori error estimator is presented for the verification of the dimensionally reduced models stemming from the elliptic problems on thin domains. The original problem is considered in a general setting, without any specific assumptions on the domain geometry, coefficients and the right-hand sides. The estimator provides a guaranteed upper bound for the modelling error in the energy ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computational Statistics & Data Analysis
سال: 2006
ISSN: 0167-9473
DOI: 10.1016/j.csda.2005.11.001