##  [Metric Entropy](/index.php/metric-entropy) 

  ##  [Metric Entropy](https://mathlogic.quantumdictionary.io/metric-entropy-0) 

  

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**Mathematics & Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

Metric entropy at scale ε of a set S is the logarithm (usually base e or 2) of its covering number N(ε,S,ρ); it compresses the scale-dependent count of ε-balls into an additive quantity useful for information and learning bounds.