Branch and Bound - Pattern Recognition - Assignment, Exercises of Computer Science

These are the Assignment of Pattern Recognition which includes Squared Mahalanobis, Weighted Version, Squared Euclidean, Dimensional Binary Patterns, Euclidean Distance, Satisfy Symmetry etc.Key important points are: Branch and Bound, Training Set, Lower Level Clusters, Training Data, Top Level, Projection Algorithm, Relevant Part

Typology: Exercises

2012/2013

Uploaded on 03/28/2013

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Assignment
1. Let the training set consist of patterns in the following table. Let the
test patten be P = (3.0, 2.0)t. Use the Branch and Bound NNC to
classify P using the training data shown in problem 1 in module 7. Use
each class as a cluster at the top level. Let lower level clusters be
Cluster 1a = {X1,X2,X3} Cluster 1b = {X4,X5}
Cluster 2a = {X7,X8,X6,X11} Cluster 2b = {X9,X10,X12}
Cluster 3a = {X13,X14,X15} Cluster 3b = {X16,X17,X18}
Figure 3: kd tree
2. Use the projection algorithm to classify P using relevant part of the
data given in problem 1.
3. Consider the following three-dimensional patterns. Using ordered par-
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Assignment

  1. Let the training set consist of patterns in the following table. Let the test patten be P = (3.0, 2.0)t. Use the Branch and Bound NNC to classify P using the training data shown in problem 1 in module 7. Use each class as a cluster at the top level. Let lower level clusters be Cluster 1 a = {X1,X2,X3} Cluster 1 b = {X4,X5} Cluster 2 a = {X7,X8,X6,X11} Cluster 2 b = {X9,X10,X12} Cluster 3 a = {X13,X14,X15} Cluster 3 b = {X16,X17,X18} Figure 3: kd tree
  2. Use the projection algorithm to classify P using relevant part of the data given in problem 1.
  3. Consider the following three-dimensional patterns. Using ordered par- Docsity.com

titions, find the nearest neighbour of (7.0,7.0,7.0). (1.0,1.0,1.0) (1.2,2.0,4.0) (2.0,1.5,3.0) (2.5,3.0,5.0) (3.0,7.0,6.0) (3.5,2.5,3.5) (4.0,6.0,2.5) (4.5,5.5,4.5) (5.0,1.5,2.0) (5.5,6.5,1.5) (6.0,8.0,7.5) (7.0,9.0,8.0)

  1. Use KD tree to solve problem 3. Docsity.com