##  [Metric Embedding Theory](/metric-embedding-theory) 

  ##  [Metric Embedding Theory](https://puremath.quantumdictionary.io/metric-embedding-theory-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The study of mappings between metric spaces that approximately or exactly preserve distances, quantifying distortion, bi-Lipschitz constants, and tradeoffs between target dimension, distortion, and algorithmic complexity; includes linear and nonlinear embeddings into Lp spaces, Hilbert spaces and finite-dimensional Euclidean spaces.