LAUSR

The complex $$K^{*}$$K∗ ring of the complex projective Stiefel manifold

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1 Published in 2019 at "Journal of Algebraic Combinatorics"

DOI: 10.1007/s10801-019-00881-y

Abstract: The topological $$K^{*}$$K∗ ring is one of the important tools used for understanding the topology of a manifold. We settle a problem of computing the $$K^{*}$$K∗ ring of complex projective Stiefel manifold using combinatorics. We… read more here.

Keywords: stiefel manifold; projective stiefel; complex ring; ring complex ... See more keywords

On matrix exponentials and their approximations related to optimization on the Stiefel manifold

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0 Published in 2019 at "Optimization Letters"

DOI: 10.1007/s11590-018-1341-z

Abstract: In this paper we probe into the geometric properties of matrix exponentials and their approximations related to optimization on the Stiefel manifold. The relation between matrix exponentials and geodesics or retractions on the Stiefel manifold… read more here.

Keywords: exponentials approximations; stiefel manifold; related optimization; matrix exponentials ... See more keywords

Variational Bayesian Orthogonal Nonnegative Matrix Factorization Over the Stiefel Manifold

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1 Published in 2022 at "IEEE Transactions on Image Processing"

DOI: 10.1109/tip.2022.3194701

Abstract: Nonnegative matrix factorization (NMF) is one of the best-known multivariate data analysis techniques. The NMF uniqueness and its rank selection are two major open problems in this field. The solutions uniqueness issue can be addressed… read more here.

Keywords: stiefel manifold; matrix factorization; nonnegative matrix; model ... See more keywords

Multi-Resolution Multicasting Over the Grassmann and Stiefel Manifolds

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0 Published in 2017 at "IEEE Transactions on Wireless Communications"

DOI: 10.1109/twc.2017.2707549

Abstract: We consider the design of space-time codes for the multiple-input multiple-output multicast communication systems with two classes of receivers. The first class comprises high-resolution (HR) receivers which have access to reliable channel state information (CSI)… read more here.

Keywords: resolution; information; stiefel manifold; grassmann stiefel ... See more keywords

Proximal Point Algorithm with Euclidean Distance on the Stiefel Manifold

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2 Published in 2023 at "Mathematics"

DOI: 10.3390/math11112414

Abstract: In this paper, we consider the problem of minimizing a continuously differentiable function on the Stiefel manifold. To solve this problem, we develop a geodesic-free proximal point algorithm equipped with Euclidean distance that does not… read more here.

Keywords: euclidean distance; point algorithm; stiefel manifold; proximal point ... See more keywords