Manifold construction based on local distance invariance

This paper presents a distance invariant manifold that preserves the neighborhood relations among data patterns. All patterns have their corresponding cells in the manifold space. The constellation of neighborhood cells closely resembles that of patterns. The manifold is invariant under the translat...

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Bibliographic Details
Published in:Memetic computing 2010, Vol.2 (2), p.149-160
Main Authors: Cheng, Wei-Chen, Liou, Cheng-Yuan
Format: Article
Language:English
Subjects:
Applications of Mathematics
Artificial Intelligence
Bioinformatics
Complex Systems
Constellations
Control
Engineering
Invariants
Manifolds
Mathematical and Computational Engineering
Mechatronics
Neighborhoods
Robotics
Special Issue - Regular Research Paper
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Summary:This paper presents a distance invariant manifold that preserves the neighborhood relations among data patterns. All patterns have their corresponding cells in the manifold space. The constellation of neighborhood cells closely resembles that of patterns. The manifold is invariant under the translation, rotation and scale of the pattern coordinates. The neighborhood relations among cells are adjusted and improved in each iteration according to the reduction of the distance preservation energy.
ISSN:1865-9284
1865-9292
DOI:10.1007/s12293-009-0030-y