Manifolds.jl

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Improve support for semi-Riemannian manifolds

3

Semi-Riemannian manifolds require different methods, see https://arxiv.org/abs/1812.07643 . * [ ] Finding ONBs, * [ ] indefinite orthogonal group, * [ ] pseudo-spheres, * [ ] pseudo-hyperbolic spaces, * [...

mateuszbaran

Add logarithmic map on the Stiefel manifold

11

http://arxiv.org/abs/2103.12046 gives an efficient shooting algorithm (Alg 2) for computing the logarithmic map on the `Stiefel(n, k)` manifold for `n ≥ 2k` for a family of metrics that includes both...

sethaxen

Implement more generic distributions on Manifolds

16

This issue narrows the discussion in https://github.com/JuliaNLSolvers/Manifolds.jl/issues/3 to implementing distributions on Manifolds. It also continues some discussion from https://discourse.julialang.org/t/rfc-taking-directional-orientational-statistics-seriously/31951 and on the Slack channel. There are a few generic distributions...

sethaxen

I've accidentally found this paper about optimization on flag manifolds: https://www.stat.uchicago.edu/~lekheng/work/flag.pdf . I don't have time to read it right now but it may be interesting. cc @kellertuer

mateuszbaran

An overview (Franklin?) page for JuliaManifolds

7

What do you think about getting an overview homepage at juliamanifolds.github.com ? We could (for a start) refer to the separate documentations (currently 2 but soon there will be more)...

kellertuer

The current solution only really works for metrics on the Euclidean space. I think we need ManifoldDiffEq for the generic case.

mateuszbaran

geomstats

11

I've just found this nice package for geometric statistics: https://github.com/geomstats/geomstats . It would be nice to look at how they do things, in particular there are a few things we...

mateuszbaran

missing `affine_matrix(::Rotations{n}, p)`?

9

Perhaps there already is a function to extract the rotation matrix from `SpecialOrthogonal(n)` or `Rotations(n)`? If not, would `affine_matrix` be the right API, since rotations can be implemented as a...

dehann

Mutating variants of metric-related functions

2

@jlumpe pointed out on slack that we don't have mutating variants of metric-related functions and it sounds like a very good idea. Functions: * [ ] `christoffel_symbols_first` * [ ]...

mateuszbaran

Integration into Optim

25

Hi, I just checked back, it seems there has been lots of activity on this project, great! Is it ready for prime time? In particular, can we replace Optim's implementation...

antoine-levitt