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Flag Manifolds for the Characterization of Geometric Structure in Large Data Sets

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Numerical Mathematics and Advanced Applications - ENUMATH 2013

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 103))

Abstract

We propose a flag manifold representation as a framework for exposing geometric structure in a large data set. We illustrate the approach by building pose flags for pose identification in digital images of faces and action flags for action recognition in video sequences. These examples illustrate that the flag manifold has the potential to identify common features in noisy and complex datasets.

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Correspondence to Michael Kirby .

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Marrinan, T., Beveridge, J.R., Draper, B., Kirby, M., Peterson, C. (2015). Flag Manifolds for the Characterization of Geometric Structure in Large Data Sets. In: Abdulle, A., Deparis, S., Kressner, D., Nobile, F., Picasso, M. (eds) Numerical Mathematics and Advanced Applications - ENUMATH 2013. Lecture Notes in Computational Science and Engineering, vol 103. Springer, Cham. https://doi.org/10.1007/978-3-319-10705-9_45

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