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Fréchet Embeddings of Negative Type Metrics
Sanjeev Aroraa b✉, James R. Leec d, Assaf Naore f
- aPrinceton University, Princeton, USA
- bPrinceton University Princeton USA
- cDepartment of Computer Science and Engineering, Box 352350, University of Washington, Seattle, WA, 9819-2350, USA
- dUniversity of Washington, Department of Computer Science and Engineering, Box 352350, 9819-2350, Seattle, WA, USA
- eCourant Institute of Mathematical Sciences, New York University, New York, NY, 10012, USA
- fNew York University, Courant Institute of Mathematical Sciences, 10012, New York, NY, USA#TAB#
- ✉Corresponding author
Discrete & Computational GeometrySpringer Science+Business Media2007-09-10 18 citations19 references
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Abstract
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TL;DRIt is shown that every n-point metric of negative type admits a Fréchet embedding into Euclidean space with distortion, a result which is tight up to the O(log”log n) factor, even for Euclidan metrics. (Semantic Scholar)

