Journal
ELECTRONICS LETTERS
Volume 40, Issue 25, Pages 1612-1613Publisher
INST ENGINEERING TECHNOLOGY-IET
DOI: 10.1049/el:20046791
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Isomap is a manifold learning algorithm, which extends classical multidimensional scaling by considering approximate geodesic distance instead of Euclidean distance. The approximate geodesic distance matrix can be interpreted as a kernel matrix, which implies that Isomap can be solved by a kernel eigenvalue problem. However, the geodesic distance kernel matrix is not guaranteed to be positive semi-definite. A constant-adding method is employed which leads to the Mercer kernel-based Isomap algorithm. Numerical experimental results with noisy. 'Swiss roll' data, confirm the validity and high performance of the kermel Isomap algorithm.
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