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Published in:
2018 | OriginalPaper | Chapter
An Adaptive Construction Test Method Based on Geometric Calculation for Linearly Separable Problems
Authors : Shuiming Zhong, Xiaoxiang Lu, Meng Li, Chengguang Liu, Yong Cheng, Victor S. Sheng
Published in: Cloud Computing and Security
Publisher: Springer International Publishing
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Abstract
The linearly separable problem is a fundamental problem in pattern classification. Firstly, from the perspective of spatial distribution, this paper focuses on the linear separability of a region dataset at the distribution level instead of the linearly separable issue between two datasets at the traditional category level. Firstly, the former can reflect the spatial distribution of real data, which is more helpful to its application in pattern classification. Secondly, based on spatial geometric theory, an adaptive construction method for testing the linear separability of a region dataset is demonstrated and designed. Finally, the corresponding computer algorithm is designed, and some simulation verification experiments are carried out based on some manual datasets and benchmark datasets. Experimental results show the correctness and effectiveness of the proposed method.