CS365 Assignment 2

Part A

1. 2-D isomap using Euclidean distance




1.b




1.c




1. 2-D isomap using Tangent distance




2.b




2.c




3. Scanned Copies of Hindi Handwritten Numerals


Sheet 1
Sheet 2
Sheet 3

Part B

1.



K=7



k=17



The robot from images can be seen to turn its arm from shoulder and elbow and also move vertically from 1 hence a dimensionality of 3 is expected which is what is observed for a higher number of nearest neighbour. The value of k affects the analysis.The error is more if too small value of k is taken as can be seen in this case where it shows a dimensionality of 2


2.



K=7



k=27



The motion of the two rods requires 4 angles to be specified for describing its complete location and hence a dimensionality of 4 is observed. The choice of k affects the analysis considerably. Larger errors are observed for very small values of k.


3.



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4.



K=7



h3>Even though the two arms are free to rotate with 4 degrees of freedom yet their movement is hampered by the constraint of holding the box and hence a dimensionality of 4 is not achieved as in case of B2. Dimensionality is just 1 because specifying even 1 angle out of 4 would be enough to determine the other 3.
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