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math.OC2024
On Continuous Terminal Embeddings of Sets of Positive Reach
Simone Brugiapaglia, Rafael Chiclana, Tim Hoheisel +1
In this paper we prove the existence of Hölder continuous terminal embeddings of any desired into with $m=\mathcal{O}(\varepsilon^{-2}ω(…
math.MG2024
On Outer Bi-Lipschitz Extensions of Linear Johnson-Lindenstrauss Embeddings of Subsets of
Rafael Chiclana, Mark A. Iwen, Mark Philip Roach
The celebrated Johnson-Lindenstrauss lemma states that for all and finite sets with elements, there exists a matrix $Φ\in \…