Product Design Time Forecasting by Kernel-Based Regression with Gaussian Distribution Weights

There exist problems of small samples and heteroscedastic noise in design time forecasts. To solve them, a kernel-based regression with Gaussian distribution weights (GDW-KR) is proposed here. GDW-KR maintains a Gaussian distribution over weight vectors for the regression. It is applied to seek the...

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Bibliographic Details
Main Authors: Zhi-Gen Shang, Hong-Sen Yan
Format: Article
Language:English
Published: MDPI AG 2016-06-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/18/6/231
Description
Summary:There exist problems of small samples and heteroscedastic noise in design time forecasts. To solve them, a kernel-based regression with Gaussian distribution weights (GDW-KR) is proposed here. GDW-KR maintains a Gaussian distribution over weight vectors for the regression. It is applied to seek the least informative distribution from those that keep the target value within the confidence interval of the forecast value. GDW-KR inherits the benefits of Gaussian margin machines. By assuming a Gaussian distribution over weight vectors, it could simultaneously offer a point forecast and its confidence interval, thus providing more information about product design time. Our experiments with real examples verify the effectiveness and flexibility of GDW-KR.
ISSN:1099-4300