Title
Supervised Locally Linear Embedding Algorithm for Pattern Recognition
Abstract
The dimensionality of the input data often far exceeds their intrinsic dimensionality. As a result, it may be difficult to recognize multidimensional data, especially if the number of samples in a dataset is not large. In addition, the more dimensions the data have, the longer the recognition time is. This leads to the necessity of performing dimensionality reduction before pattern recognition. Locally linear embedding (LLE) [5, 6] is one of the methods intended for this task. In this paper, we investigate its extension, called supervised locally linear embedding (SLLE), using class labels of data points in their mapping into a low-dimensional space. An efficient eigendecomposition scheme for SLLE is derived. Two variants of SLLE are analyzed coupled with a k nearest neighbor classifier and tested on real-world images. Preliminary results demonstrate that both variants yield identical best accuracy, despite of being conceptually different.
Year
DOI
Venue
2003
10.1007/978-3-540-44871-6_45
Lecture Notes in Computer Science
Keywords
Field
DocType
pattern recognition,k nearest neighbor
Data point,k-nearest neighbors algorithm,Dimensionality reduction,Confusion matrix,Embedding,Pattern recognition,Computer science,Algorithm,Curse of dimensionality,Eigendecomposition of a matrix,Artificial intelligence,Classifier (linguistics)
Conference
Volume
ISSN
Citations 
2652
0302-9743
32
PageRank 
References 
Authors
1.93
3
3
Name
Order
Citations
PageRank
Olga Kouropteva121018.87
Oleg Okun230828.56
Matti Pietikäinen314779739.80