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Neighbourhood of a point in Stiefel manifold

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#algebraic-topology #differential-topology #fiber-bundles #stiefel-manifolds
76
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Self maps on Stiefel Manifolds

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#algebraic-topology #stiefel-manifolds
66
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From what manifold do we need to start to build an eversion for $any$-tridimensional object?

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#category-theory #isometry #stiefel-manifolds #higher-homotopy-groups
773
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Minimize $ \mbox{tr} ( X^T A X ) + \lambda \mbox{tr} ( X^T B ) $ subject to $ X^T X = I $ - Linear Matrix Function with Norm Equality Constraint

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#linear-algebra #optimization #non-convex-optimization #qcqp #stiefel-manifolds
268
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BO(-) example in Weiss Calculus

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#group-theory #algebraic-topology #grassmannian #classifying-spaces #stiefel-manifolds
190
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Spheres and orthogonal matrices as spaces of solutions to matrix equations

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#general-topology #matrices #matrix-equations #orthogonal-matrices #stiefel-manifolds
101
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General Stiefel-Whitney classes and Stiefel manifolds

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#general-topology #algebraic-topology #differential-topology #geometric-topology #stiefel-manifolds
254
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'Jacobian' of QR decomposition of a rectangular matrix

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#linear-algebra #statistics #volume #gaussian-integral #stiefel-manifolds
230
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How to optimize objective in the Grassmann manifold?

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#linear-algebra #matrices #grassmannian #stiefel-manifolds
407
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Stiefel manifold is a manifold

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#general-topology #manifolds #stiefel-manifolds
1.1k
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Uniform distribution on Stiefel manifold

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#probability #probability-distributions #manifolds #riemannian-geometry #stiefel-manifolds
64
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Smallest trace of a matrix product where one is given and the other is orthogonal

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#matrices #optimization #non-convex-optimization #stiefel-manifolds
42
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References for injectivity/surjectivity $\pi_i(U(n-k)) \rightarrow \pi_i(U(n))$

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#algebraic-topology #fundamental-groups #stiefel-manifolds
444
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Maximize trace over Stiefel manifold

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#linear-algebra #optimization #non-convex-optimization #qcqp #stiefel-manifolds
269
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How to solve the system of matrix equations $XX^TA = A$, $X^TX = I$?

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#linear-algebra #matrices #systems-of-equations #matrix-equations #stiefel-manifolds

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