Making metric learning algorithms invariant to transformations using a projection metric on Grassmann manifolds
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Machine Learning and Cybernetics"
DOI: 10.1007/s13042-019-00927-4
Abstract: The requirement for suitable ways to measure the distance or similarity between data is omnipresent in machine learning, pattern recognition and data mining, but extracting such good metrics for particular problems is in general challenging.… read more here.
Keywords: projection metric; metric learning; grassmann manifolds; distance ... See more keywords
Classification of homogeneous holomorphic two-spheres in complex Grassmann manifolds
Sign Up to like & getrecommendations! Published in 2019 at "Differential Geometry and its Applications"
DOI: 10.1016/j.difgeo.2018.09.005
Abstract: Abstract In this paper we completely classify the linearly full homogeneous holomorphic two-spheres in the complex Grassmann manifolds G ( 2 , N ) and G ( 3 , N ) . We also obtain… read more here.
Keywords: complex grassmann; grassmann manifolds; homogeneous holomorphic; holomorphic two ... See more keywords
Learning Adaptive Neighborhood Graph on Grassmann Manifolds for Video/Image-Set Subspace Clustering
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DOI: 10.1109/tmm.2020.2975394
Abstract: The objective of self-expression based spectral clustering is to learn an affinity matrix which accurately reflects the similarity among data, and the Laplacian constraint is usually exploited to make the affinity matrix preserve the global… read more here.
Keywords: grassmann manifolds; graph grassmann; learning adaptive; neighborhood ... See more keywords
On the topological complexity of Grassmann manifolds
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DOI: 10.1515/ms-2017-0425
Abstract: Abstract We prove that the topological complexity of a quaternionic flag manifold is half of its real dimension. For the real oriented Grassmann manifolds G͠n,k, 3 ≤ k ≤ [n/2], the zero-divisor cup-length of the… read more here.
Keywords: topological complexity; grassmann manifolds; complexity grassmann; complexity ... See more keywords