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Lp Norm

Lp Norm

Feb 09, 20251 min read

  • Math

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  • L0 Norm
  • L1 Norm
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∥x∥p​=(i∑​∣xi​∣p)p1​

∥x∥∞​=maxi​(∣xi​∣)


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  • ∥x⃗∥p=(∑i∣xi∣p)1p\displaystyle \lVert \vec{x}\rVert_{p}=\left( \sum_{i}\lvert x_{i}\rvert^{p} \right)^{\frac{1}{p}}∥x∥p​=(i∑​∣xi​∣p)p1​
  • ∥x⃗∥∞=maxi(∣xi∣)\displaystyle \lVert \vec{x}\rVert_{\infty}=\text{max}_{i}(\lvert x_{i}\rvert)∥x∥∞​=maxi​(∣xi​∣)

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  • Decision Boundary
  • Distance

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