Trend of the SQC Based on Data Clustering-Studies of Categorical Data Analysis Based on Principal Points for Multivariate Binary Distribution-
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- YAMASHITA Haruka
- 早稲田大学
Bibliographic Information
- Other Title
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- データのクラスタリングにもとづくSQCの動向~2値型主要点解析法を用いたカテゴリカルデータの解析に関する研究~
- データ ノ クラスタリング ニ モトズク SQC ノ ドウコウ : 2チガタ シュヨウテン カイセキホウ オ モチイタ カテゴリカルデータ ノ カイセキ ニ カンスル ケンキュウ
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Abstract
In statistics,there are many studies on principal points.The concept of principal points which is proposed by Flury allows us to carry out such an analysis in a variety of applications and also properties of principal points have been studied. Although principal points of a multivariate distribution have widely studied,there is no discussion of principal points for a multivariate binary distribution.<BR> Yamashita and Suzuki have define the principal points for a multivariate binary distribution. Since principal points for a multivariate binary distribution are selected from multivariate binary region,there is a problem of the amount of calculation,since this problem is an NP-hard problem. Yamashita and Suzuki have shown the submodularity of principal points for a multivariate binary distribution and proposed an approximation method based on the greedy algorithm.Using the property of submodularity of principal points for a multivariate binary distribution,the accuracy of approximations is at least(1-1/e)times the optimal solution proved by Nemhauser et al.Finally, we show the result of an application of the methods to questionnaire survey data.
Journal
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- Journal of The Japanese Society for Quality Control
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Journal of The Japanese Society for Quality Control 46 (4), 387-392, 2016-10-15
The Japanese Society for Quality Control
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Details 詳細情報について
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- CRID
- 1390001288145745792
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- NII Article ID
- 130007659809
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- NII Book ID
- AN00354769
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- ISSN
- 24321044
- 03868230
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- NDL BIB ID
- 027689611
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- Text Lang
- ja
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- Data Source
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- JaLC
- NDL
- CiNii Articles
- KAKEN
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- Abstract License Flag
- Disallowed