project demonstrates how to value similarities betwixt the facts objects. These topics picturesquely are restraint-the-most-part from portion 2.4 :  dataType4.pdf


1) Based on the consideration 2.8 in Dissimilarities betwixt Facts Objects 2.4.3, pretence model of sagacious  P2dist.pdf

A) Euclidean separation

B) L1 separation

2) Prove or traverse that Euclidean and L1 separation satisfy

A) Positivity

(i) d(x,y) >= 0 restraint perfect x and y,

(ii) d(x,y) == 0 simply if x == y.

B) Symmetry

d(x,y) == d(y,x) restraint perfect x and y.

C) Triangle Inequality

d(x,z) <= d(x,y) + d(y,z) restraint perfect points x, y, and z

3) Explain with the model :

A) What is Hamming separation?

B) Is it potential to supply facts so Euclidean separation gives the selfselfsame significance as Hamming separation?


C) Restraint separation value d=1-cos(x,y), are the Positivity, Symmetry, and Triangle Inequality acquiescent?

4) Draw the conclusions environing if it matters which separation value is selected to evaluate the dissimilarities betwixt facts objects. Consider Euclidean, L1, and 1-cos(x,y) values.

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