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| Local Linear Space Partition Based Manifold Generation Algorithm |
| CHEN Hua-Jie, PENG Dong-Liang |
| Institute of Information and Control, School of Automation, Hangzhou Dianzi University, Hangzhou 310018 |
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Abstract A local linear space partition (LLSP) based manifold generation algorithm is proposed to extend the mapping function obtained by manifold learning of new data points. Using the dimension-fixed projection distance (DFPD), the dimension-fixed projection vector quantization (DFPVQ) algorithm is presented to cover the whole manifold with several local linear spaces (LLS). Then, the simplified linear mapping functions are constructed in LLS. As for new data point, the corresponding LLS is found and the mapping value in low dimension is estimated by the simplified linear mapping function. The superiority of the proposed algorithm is confirmed by experimental results both on synthesized data and handwritten digits image dataset.
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Received: 10 June 2008
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2009, Vol. 22 
