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Results tagged with mg.metric-geometry
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user 5378
Euclidean, hyperbolic, discrete, convex, coarse geometry, metric spaces, comparisons in Riemannian geometry, symmetric spaces.
2
votes
Accepted
How to define a Voronoi reduced basis?
Excellent question. I don't know the answer and perhaps what I am suggesting is obvious. Nevertheless, I think it's on the right track.
Let $B$ be a basis for $\Lambda$ and let $P$ be the correspond …
- 1,026
7
votes
Estimating direction from a distribution on a circle
The standard way to solve this is to just consider each of your data points as unit vectors, then take the average of those unit vectors. The direction of this averaged vector is the estimated direct …
- 1,026
6
votes
Estimating direction from a distribution on a circle
I see now that Andrei would like to know what to do when the distribution has 2 modes and is symmetric about these modes. It seems better to just give a second (more detailed) answer rather than compl …
- 1,026
8
votes
Estimating direction from a distribution on a circle
Ok, so now I will describe why Niels's estimator works so well. Take a bimodal and symmetric circular density function $f$ with modes $p$ and $-p$ (we will assume that $p$ is positive) such as the one …
- 1,026