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An improved Isomap method for manifold learning

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成果类型:
期刊论文
作者:
Qu, Taiguo;Cai, Zixing
通讯作者:
Qu, Taiguo(qutaiguo88@sohu.com)
作者机构:
[Qu, Taiguo] College of Computer Science and Technology, Hengyang Normal University, Hengyang, China
[Cai, Zixing] School of Information Science and Engineering, Central South University, Changsha, China
[Qu, Taiguo] Hunan Provincial Key Laboratory of Intelligent Information Processing and Application, Hengyang, China
通讯机构:
College of Computer Science and Technology, Hengyang Normal University, Hengyang, China
语种:
英文
关键词:
Dijkstra’s algorithm;Fibonacci heap;Floyd’s algorithm;Isomap;Manifold learning;Shortest path
期刊:
智能计算与控制论国际期刊(英文)
ISSN:
1756-378X
年:
2017
卷:
10
期:
1
页码:
30-40
基金类别:
This work is supported by the National Natural Science Foundation of China under Grant Nos 91220301, 61273314 and 61175064.
机构署名:
本校为第一且通讯机构
院系归属:
计算机科学与技术学院
摘要:
Purpose: Isometric feature mapping (Isomap) is a very popular manifold learning method and is widely used in dimensionality reduction and data visualization. The most time-consuming step in Isomap is to compute the shortest paths between all pairs of data points based on a neighbourhood graph. The classical Isomap (C-Isomap) is very slow, due to the use of Floyd’s algorithm to compute the shortest paths. The purpose of this paper is to speed up Isomap. Design/methodology/approach: Through theoretical analysis, it is found that the neighbourhood graph in Isomap is sparse. In this case, th...

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