Similarity Measure - Types

Type	Input Type	Description
Distance Measure/Metric Dependent	depends on the algorithm used	1 / distance measure/metric formula?
Discrete Similarity Metric	anything	Loading
Kernel Functions	vectors	measures the similarity between 2 vectors in transformed space
Dot Product Scalar Product	vectors	𝛴_{1≤𝑖≤𝑛}(𝑣̅_𝑖𝑢̅_𝑖)
Cosine Similarity	vectors	𝑐𝑜𝑠(𝜃) = [𝑢̅·𝑣̅] / [\|\|𝑢̅\|\|*\|\|𝑣̅\|\|] used for measuring the similarity of vectors when the magnitude of the vectors does not matter
Jaccard Similarity	sets	𝐽(𝐴,𝐵) = \|𝐴⋂𝐵\| / \|𝐴⋃𝐵\|

Similarity Measure - Other