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032 Cartesian Similarity Metrics

032 Cartesian Similarity Metrics

L1/L2 norm, Manhattan, Euclidean, cosine distances, dot product
Tijd: 42:28
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Normed distances link
A norm is a function that assigns a strictly positive length to each vector in a vector space. link Minkowski is generalized. p_root(sum(xi-yi)^p). "p" = ? (1, 2, ..) for below. L1: Manhattan/city-block/taxicab. abs(x2-x1)+abs(y2-y1). Grid-like distance (triangle legs). Preferred for high-dim space. L2: Euclidean. sqrt((x2-x1)^2+(y2-y1)^2. sqrt(dot-product). Straight-line distance; min distance (Pythagorean triangle edge) Others: Mahalanobis, Chebyshev (p=inf), etc Dot product
A type of inner product.
Outer-product: lies outside the involved planes. Inner-product: dot product lies inside the planes/axes involved link. Dot product: inner product on a finite dimensional Euclidean space link Cosine (normalized dot)
Aflevering-ID: 1000497618024
GUID: 7f335339-1e45-4ab1-99de-20a9bda41fca
Releasedatum: 8-11-2020 06:10:52


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