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Hi,
To my understanding, the exponential map for the quaternion takes an element of the tangent space (i.e. a rotation vector omega of size 3) and then returns the corresponding elements of the SO3 …
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Hello,
In my problem, the variable is a complex vector **w** and its norm ||**w**||=5, so I think it is a complex sphere manifold. But how could I define this complex sphere manifold? I only find t…
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Hi,
A while back I came across this paper : [Discrete Differential Forms for Computational Modeling](http://www.geometry.caltech.edu/pubs/DKT05.pdf)
The paper led me to study smooth manifolds and …
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### Describe the bug
`christoffels` do not work properly with matrices manifolds. The reason is the shape of `inner_product_derivative_matrix`, which is 4-d for matrices, whereas only 3d if base po…
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Hello, I applied for all the HCP (Human Connectome Project) young adult data and used the 17-network ROI (regions of interest) to extract features from the fMRI data. I also hope to use your model to …
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There is a number of possible to implement manifolds in e.g. [pymanopt](https://github.com/pymanopt/pymanopt/tree/master/pymanopt/manifolds), namely:
- [x] `Euclidean`
- [x] `Stiefel`
- [x] `Sphe…
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For `u' = A(u,p,t)*u`. In theory this could apply to arbitrary `f`, but we can just show in documentation how to use the Jacobian for this.
From https://arxiv.org/pdf/1207.0069.pdf :
- [x] Lie–…
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As the log-mean-exp algorithm is essentially gradient descent on a Riemannian manifold provided associated log and exp maps it could include a step parameter which is now implicitly is equal to 1. I h…
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Looking at [geoopt/manifolds/stereographic/math.py](https://github.com/geoopt/geoopt/blob/27a1e6fd825e2de923b8493bb8baf514f3f089ea/geoopt/manifolds/stereographic/math.py) and trying to learn about hyp…
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The current catalog is nice to have but still very limited or incomplete. Constructing some examples in the current catalog also takes a lot of time.
While improving and extend this, it is also a g…