کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
416369 681350 2014 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A frame based shrinkage procedure for fast oscillating functions
ترجمه فارسی عنوان
فرایند انقباض بر اساس تابع نوسان سریع
کلمات کلیدی
فریم ها، رگرسیون غیر پارامتری، تبدیل موجک دایاسیون عقلانی
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نظریه محاسباتی و ریاضیات
چکیده انگلیسی


• Totally automatic procedure for denoising fast oscillating functions.
• The procedure is valid for any frame operator.
• The procedure is a generalization of the empirical Wiener filter.

In non-parametric regression analysis the advantage of frames with respect to classical orthonormal bases is that they can furnish an efficient representation of a more broad class of functions. For example, fast oscillating functions as audio, speech, sonar, radar, EEG and stock market are much more well represented by a frame, with similar oscillating characteristic, than by a classical orthonormal basis. In this respect, a new frame based shrinkage estimator is derived as the Empirical Regularized version of the optimal Shrinkage estimator generalized to the frame operator. An analytic expression of it is furnished leading to an efficient implementation. Results on standard and real test functions are shown.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computational Statistics & Data Analysis - Volume 75, July 2014, Pages 142–150
نویسندگان
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