Show that a cost matrix is scale-invariant. For example, if the cost matrix is rescaled from C(i, j) ?? ?C(i, j), where ? is the scaling factor, the decision threshold (Equation 5.82) will remain unchanged.
What will be an ideal response?
The cost matrix is:
A node t is classified as positive if:
The transformed cost matrix is:
Therefore, the decision rule is:
which is the same as the original decision rule.
Computer Science & Information Technology
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