Manifold construction based on local distance invariance |
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Authors: | Wei-Chen Cheng Cheng-Yuan Liou |
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Institution: | 1. Department of Computer Science and Information Engineering, National Taiwan University, Taipei, Republic of China
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Abstract: | This paper presents a distance invariant manifold that preserves the neighborhood relations among data patterns. All patterns have their corresponding cells in the manifold space. The constellation of neighborhood cells closely resembles that of patterns. The manifold is invariant under the translation, rotation and scale of the pattern coordinates. The neighborhood relations among cells are adjusted and improved in each iteration according to the reduction of the distance preservation energy. |
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