Density Estimation in the Presence of Noise Based on Riesz Basis

ZHAO Ping; LIU Guizhong; ZHAO Chun

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Density Estimation in the Presence of Noise Based on Riesz Basis

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- Density Estimation in the Presence of Noise Based on Riesz Basis
- Acta Electronica Sinica Vol. 32, Issue 10, Pages: 1666-1670(2004)
- 作者机构：
  
  1. 西安交通大学电子与信息工程学院,陕西,西安,710049
  2. 西安交通大学理学院,陕西,西安,710049
  3. 西安交通大学电子与信息工程学院陕西西安,710049
  4. 西安交通大学理学院陕西西安,710049
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN911.72
- Published：2004
- 稿件说明：
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ZHAO Ping, LIU Guizhong, ZHAO Chun. Density Estimation in the Presence of Noise Based on Riesz Basis[J]. Acta Electronica Sinica, 2004, 32(10): 1666-1670.
DOI：

ZHAO Ping, LIU Guizhong, ZHAO Chun. Density Estimation in the Presence of Noise Based on Riesz Basis[J]. Acta Electronica Sinica, 2004, 32(10): 1666-1670. DOI：

摘要

本文研究了含噪声密度估计问题

在Besov空间上

构造了基于Riesz基的线性小波估计

并利用此结果给出了含噪声截断线性小波估计

该结果改善了现有的估计

减少了运算量.

Abstract

The problem of estimating a density in the presence of noise is considered.Linear wavelet estimators based on Riesz basis are constructed if function belongs to Besov space.Then we use this result

density estimation in the presence of noise by truncated wavelet expansion is studied.The proposed wavelet estimator is an improvement on previous estimators.The density estimation has low computational cost.

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Erosion Clustering

Bilateral Filtering in the Wavelet Domain

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School of Computer Science and Technology, Jiangsu Normal University

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Jiangsu Key Laboratory of Educational Intelligent Technology, Jiangsu Normal University

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