measure similarities and dissimilarities –> Deep Learning

how to measure similarities and dissimilarities between data objects. Cover in the project the following:

Find some data examples and show examples of calculating

L1 normL2 norm

Show examples with real numbers that confirm (or not) that L2 norm and L1 norm satisfy positivity, symmetry, and triangle Inequality.

Show an example with the real numbers that show that it is possible (or not) to rearrange data so L2 norm gives the same meaning as Hamming distance (difference in bits among the 2 objects).

1. Show an example with the real numbers that show that norm or measure d=1-cos(x,y) satisfies (or not) positivity, symmetry, and triangle Inequality.