Title
Fslle: A Fast K Selection Algorithm For Locally Linear Embedding
Abstract
Data in a high-dimensional data space may reside in a low-dimensional manifold embedded within the high-dimensional space. Manifold learning discovers intrinsic manifold data structures to facilitate dimensionality reductions. We propose a novel manifold learning technique called fast K selection for locally linear embedding or FSLLE, which judiciously chooses an appropriate number (i.e., parameter K) of neighboring points where the local geometric properties are maintained by the locally linear embedding (LLE) criterion. To measure the spatial distribution of a group of neighboring points, FSLLE relies on relative variance and mean difference to form a spatial correlation index characterizing the neighbors' data distribution. The goal of FSLLE is to quickly identify the optimal value of parameter K, which aims at minimizing the spatial correlation index. FSLLE optimizes parameter K by making use of the spatial correlation index to discover intrinsic structures of a data point's neighbors. After implementing FSLLE, we conduct extensive experiments to validate the correctness and evaluate the performance of FSLLE. Our experimental results show that FSLLE outperforms the existing solutions (i.e., LLE and ISOMAP) in manifold learning and dimension reduction. We apply FSLLE to face recognition in which FSLLE achieves higher accuracy than the state-of-the-art face recognition algorithms. FSLLE is superior to the face recognition algorithms, because FSLLE makes a good tradeoff between classification precision and performance.
Year
DOI
Venue
2018
10.1142/S1469026818500037
INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE AND APPLICATIONS
Keywords
DocType
Volume
Dimensionality reduction, spatial distribution, locally linear embedding
Journal
17
Issue
ISSN
Citations 
1
1469-0268
0
PageRank 
References 
Authors
0.34
3
8
Name
Order
Citations
PageRank
Jin-Hang Liu100.34
Tao Peng 0006211.36
xiaogang zhao330.75
Kunfang Song420.71
MingHua Jiang51310.96
Hu Ming686.53
Xinrong Hu707.44
Xiao Qin81836125.69