Abstract
Manifold optimization is extremely relevant to problems of modern interest. This paper expands on iterative directional-search optimization frameworks for manifolds, to more general objects - orbifolds. The innovation is to tackle problems with discrete group structure, which apply to modernistic data models such as multisets, graphs, choice/voting data, hypercubes, crystagraphic structures, etc.
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Lim, F. (2013). On Directional-Search Procedures for Orbifolds: Connections with the Manifold Framework. In: Nielsen, F., Barbaresco, F. (eds) Geometric Science of Information. GSI 2013. Lecture Notes in Computer Science, vol 8085. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40020-9_63
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DOI: https://doi.org/10.1007/978-3-642-40020-9_63
Publisher Name: Springer, Berlin, Heidelberg
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