15 citations · 16 across the 3 of their papers we have counts for
4 papers
Stochastic Neighbor Embedding separates well-separated clusters
Uri Shaham, Stefan Steinerberger
Stochastic Neighbor Embedding and its variants are widely used dimensionality reduction techniques -- despite their popularity, no theoretical results are known. We prove that the…
Well-distributed great circles on S^2
Stefan Steinerberger
Let denote the neighborhood of great circles on . We are interested in how much these areas have to overlap and prove the sharp bounds $$…
Fast Escape in Incompressible Vector Fields
Stefan Steinerberger
Swimmers caught in a rip current flowing away from the shore are advised to swim orthogonally to the current to escape it. We describe a mathematical principle in a similar spirit.…
Prescribing the nodal set of the first eigenfunction in each conformal class
Alberto Enciso, Daniel Peralta-Salas, Stefan Steinerberger
We consider the problem of prescribing the nodal set of the first nontrivial eigenfunction of the Laplacian in a conformal class. Our main result is that, given a separating closed…