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cs.CG2026
The Sharp Dimension Bound in the Johnson--Lindenstrauss Lemma
Vishesh Jain
The Johnson--Lindenstrauss lemma asserts that every set of points in -dimensional Euclidean space embeds into -dimensional Euclidean space with di…
cs.CG2026
On graphically local versions of metric embeddings
Vishesh Jain, Duan Tu
We consider the problem of graphically local metric embedding, i.e. embedding points from an arbitrary finite metric space into a target metric space while preserving, up to a smal…