Measure similarities and dissimilarities

March 4, 2023March 4, 2023 Discipline: Data Engineering
Learning Goal: I’m working on a data engineering writing question and need the explanation and answer to help me learn.

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

1. Find some data examples and show examples of calculating

a. L1 norm

b. L2 norm

c. Explain the advantages and disadvantages of L1 over L2

2.Prove or disprove that L2 norm and L1 norm satisfy positivity, symmetry, and triangle Inequality.

3.Explain why it is not possible or why it is possible to rearrange data so L2 norm gives the same meaning as Hamming distance (difference in bits among the 2 objects).

4.Show that norm or measure d=1-cos(x,y) satisfies positivity, symmetry, and triangle Inequality.

5.Draw conclusions about what is important when choosing the norm for the evaluation of dissimilarities between data objects.

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