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Hi, I've used positive_definite_intrinsic_mean.mat in manopt package, which is coded as:
```matlab
function X = positive_definite_intrinsic_mean(A)
% Computes an intrinsic mean of a collection of p…
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Based on the paper:
Efficient Riemannian Optimization on the Stiefel Manifold via the Cayley Transform
https://arxiv.org/abs/2002.01113
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http://tech-blog.abeja.asia/entry/poincare-embeddings
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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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Hello MuJoCo Team,
I am currently finalizing my thesis in system identification (SysID) and adaptive control, together with @simeon-ned, we are working on SysID and adaptive control. We are very ex…
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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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In the rASR matlab implementation, the geometric median is euclidean.
For now, python RASR uses also the euclidean geometric median (with the different optimization method though).
We might want …
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I have developed some code for hierarchical networks in `quimb` where all the tensors except the root are isometries (think MERA's and hierarchical tucker). The idea was to develop methods to truncate…
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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 Jiayi,
Thanks for sharing this amazing work. I have read through the paper and can understand the main idea of your method. However, after going the example codes, I still don't know how to appl…