.png){kind=icon}
返回
A smoothing filter based on fuzzy transform
.png){kind=icon}
PRE
AI
DOI：10.1016/j.fss.2011.05.028.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
This paper is devoted to the smoothing of discrete functions using the fuzzy transform introduced by Perfilieva. We generalize a smoothing filter based on the fuzzy transform recently proposed by us to obtain a better control on the smoothed functions. For this purpose, a generalization of the concept of fuzzy partition is suggested and the smoothing filter is defined as a combination of the direct discrete fuzzy transform and a slightly modified inverse continuous fuzzy transform. An approximation behavior, total variation of smoothed functions and statistical properties including the description of the white noise reduction and the asymptotic expression of bias and variance are investigated and discussed. The proposed filter is compared with the Nadaraya-Watson estimator and the results are illustrated assuming financial data. (C) 2011 Elsevier B.V. All rights reserved.
Keyword:
Fuzzy transform
Fuzzy partition
Nadaraya-Watson estimator
Kernel regression
Noise reduction
Financial returns
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
IF:
2.7
论文数:
7.6K
被引数:
1.5W
机构
引用论文
分享收藏Heritability and characteristics of resin ducts in Pinus oocarpa stems in Michoacán, Mexico.png)
IAWA Journal
IAWA JournalIF0
PREAI
分享收藏
查看更多内容