Question

Solution of a minimization problem under Stiefel manifold

score 115 · Answer 1 · 2023-05-01 22:32:13

115

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Solution of a minimization problem under Stiefel manifold

Published on 01 May 2023 - 22:32

score 42 · Answer 2 · 2023-05-28 05:26:19

42

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$2$-norm of orthogonal transformation on subgaussian vector

Published on 28 May 2023 - 5:26

score 24 · Answer 3 · 2026-03-16 14:30:13

24

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Nontrivial Monodromy of the Universal Stiefel Bundle (and $O(n)$-equivariant vector fields on spheres)

Published on 16 Mar 2026 - 14:30

score 47 · Answer 4 · 2023-06-11 07:01:29

47

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[Follow up question]: What is the corresponding distribution of the SVD assuming U and V matrices are uniformly sampled wrt Haar measure?

Published on 11 Jun 2023 - 7:01

score 53 · Answer 5 · 2023-06-27 03:44:20

53

Views

Expected value of the projective metric between random orthogonal Stiefel matrices in $\mathbb{R}^{N \times k}$ equals $1 - \frac{k}{N}$

Published on 27 Jun 2023 - 3:44

score 42 · Answer 6 · 2026-02-23 10:16:47

42

Views

Retraction on non-compact Stiefel manifold

Published on 23 Feb 2026 - 10:16

score 65 · Answer 7 · 2023-09-04 12:32:24

65

Views

Minimizing distance between two orthonormal k-frames in $R^{k+1}$

Published on 04 Sep 2023 - 12:32

score 50 · Answer 8 · 2023-10-11 21:18:12

50

Views

Modified Bessel Function Identity (change of variable integrating on the sphere)

Published on 11 Oct 2023 - 21:18

score 50 · Answer 9 · 2023-10-20 06:50:13

50

Views

differentiate a mtrix function with respect to a matrix

Published on 20 Oct 2023 - 6:50

score 733 · Answer 10 · 2015-05-24 21:40:28

733

Views

The action of the orthogonal group $O_n(\mathbb{R})$ on the Stiefel manifold $V_{k,n}(\mathbb{R}) $ .

Published on 24 May 2015 - 21:40

score 1.5k · Answer 11 · 2015-06-08 17:55:50

1.5k

Views

Grassmann and Stiefel manifolds

Published on 08 Jun 2015 - 17:55

score 1.4k · Answer 12 · 2015-07-23 15:02:31

1.4k

Views

Geodesic of Stiefel manifold

Published on 23 Jul 2015 - 15:02

score 289 · Answer 13 · 2026-03-17 00:44:23

289

Views

How does a permutation $P$ affect the singular value $\sigma_{\text{max}}(Q^\top P^\top Q)$ for orthogonal $Q$?

Published on 17 Mar 2026 - 0:44

score 566 · Answer 14 · 2013-05-25 16:04:43

566

Views

Direct limit of $CW$ complex and infinite Stiefel manifold

Published on 25 May 2013 - 16:04

score 1k · Answer 15 · 2014-03-04 01:35:41

1k

Views

Projection map between the Stiefel manifold and the Grassmanian

Published on 04 Mar 2014 - 1:35

List Question

Solution of a minimization problem under Stiefel manifold

$2$-norm of orthogonal transformation on subgaussian vector

Nontrivial Monodromy of the Universal Stiefel Bundle (and $O(n)$-equivariant vector fields on spheres)

[Follow up question]: What is the corresponding distribution of the SVD assuming U and V matrices are uniformly sampled wrt Haar measure?

Expected value of the projective metric between random orthogonal Stiefel matrices in $\mathbb{R}^{N \times k}$ equals $1 - \frac{k}{N}$

Retraction on non-compact Stiefel manifold

Minimizing distance between two orthonormal k-frames in $R^{k+1}$

Modified Bessel Function Identity (change of variable integrating on the sphere)

differentiate a mtrix function with respect to a matrix

The action of the orthogonal group $O_n(\mathbb{R})$ on the Stiefel manifold $V_{k,n}(\mathbb{R}) $ .

Grassmann and Stiefel manifolds

Geodesic of Stiefel manifold

How does a permutation $P$ affect the singular value $\sigma_{\text{max}}(Q^\top P^\top Q)$ for orthogonal $Q$?

Direct limit of $CW$ complex and infinite Stiefel manifold

Projection map between the Stiefel manifold and the Grassmanian

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