Title
A Greedy Algorithm For Constraint Principal Curves
Abstract
Principal curves can learn high-accuracy data from multiple low-accuracy data. However, the current proposed algorithms based on global optimization are too complex and have high computational complexity. To address these problems and in the inspiration of the idea of divide and conquer, this paper proposes a Greedy algorithm based on dichotomy and simple averaging, named as KPCg algorithm. After that, three simulation data sets of sinusoidal, zigzag and spiral trajectories are used to test the performance of the KPCg algorithm and we compare it with the k-segment algorithm proposed by Verbeek. The results show that the KPCg algorithm can efficiently learn highaccuracy data from multiple low-accuracy data with constraint endpoints and have advantages in accuracy, computational speed and scope of application.
Year
DOI
Venue
2014
10.4304/jcp.9.5.1125-1130
JOURNAL OF COMPUTERS
Keywords
Field
DocType
Principal curves algorithm, principal of nearest neighbor, adaptive radius, dichotomy, simple averaging
Data set,Ramer–Douglas–Peucker algorithm,Global optimization,Computer science,FSA-Red Algorithm,Greedy algorithm,Artificial intelligence,Divide and conquer algorithms,Machine learning,Difference-map algorithm,Computational complexity theory
Journal
Volume
Issue
ISSN
9
5
1796-203X
Citations 
PageRank 
References 
0
0.34
10
Authors
4
Name
Order
Citations
PageRank
Shiying Yang100.34
Dewang Chen210912.44
Xiangyu Zeng332.42
Peter Pudney441.86