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Add diagonalizing bases for Grassmann and Stiefel #7

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mateuszbaran opened this issue Feb 26, 2022 · 3 comments
Open

Add diagonalizing bases for Grassmann and Stiefel #7

mateuszbaran opened this issue Feb 26, 2022 · 3 comments
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enhancement New feature or request extend manifold

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@mateuszbaran
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The formula for Grassmann is in Q. Rentmeesters, “A gradient method for geodesic data fitting on some symmetric Riemannian manifolds,” in 2011 50th IEEE Conference on Decision and Control and European Control Conference, Dec. 2011, pp. 7141–7146. doi: 10.1109/CDC.2011.6161280.

@mateuszbaran mateuszbaran added enhancement New feature or request extend manifold labels Feb 26, 2022
@kellertuer
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In IV. D I See Grassmann, where can I find Stiefel? And it seems a PDF can be obtained at https://folk.ntnu.no/skoge/prost/proceedings/cdc-ecc-2011/data/papers/1913.pdf

@mateuszbaran
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I don't currently know where to find Stiefel, I tried looking for it yesterday but didn't find it. Anyway, it would be nice to have it 🙂 .

@mateuszbaran
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For reference, for Grassmann manifold the better approach is diagonalizing projectors (which will be put in https://github.com/JuliaManifolds/ManifoldDiff.jl ). For Stiefel it seems unlikely that a closed-form formula exists.

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Labels
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