Recovering Geodesic Distances from Noisy Observations

Charles Fefferman, Jonathan Marty, Kevin Ren

Let $(M,d,\mu )$ be a nice geodesic probability space (such as a manifold) and $X=\{x_i{\}}_{i\in [N]}\subset M$ a finite $\mu$-i.i.d. sample. Suppose we observe noisy distance random va…