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Measure of distance between distributions or variables, such as Euclidean distance between points in n-space.
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How to calculate the distance in KNN for mixed data types?
Your second proposition seems great because you use appropriate distance for each type of data and combine them to obtain a final result. There are lots to discuss about how weighted them. … I will encourage you to read this very interesting paper about categorical data where a lot of distance measure are inspect :
Similarity Measures for Categorical Data: A Comparative Evaluation
by Shyam …