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Diffusion Maps: Analysis and Applications

Abstract:

A lot of the data faced in science and engineering is not as complicated as it seems. There is the possibility of ¯nding low dimensional descriptions of this usually high dimensional data. One of the ways of achieving this is with the use of diffusion maps. Diffusion maps represent the dataset by a weighted graph in which points correspond to vertices and edges are weighted. The spectral properties of the graph Laplacian are then used to map the high dimensional data into a lower dimensional ...

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Publication date:
2008
URN:
uuid:e55c4a57-0a51-40d4-bbd7-37abd38afe66
Local pid:
oai:eprints.maths.ox.ac.uk:740

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