Questions
STATISTICAL DEEP LEARNING DONE_2025 Mid-term Close-book Exam
Multiple fill-in-the-blank
Multi-class Classification Assume Z1=-1, Z2=1, Z3=2. Apply Softmax to calculate the posterior probability, by using R/Python/Matlab... programming. Solutions without programming codes will not receive full credit. Note: please round your solution in 3 decimal places. y1 = [Fill in the blank], ; y2 = [Fill in the blank], ; y3 = [Fill in the blank], .
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To solve this, I’ll compute the Softmax probabilities for the given scores Z1, Z2, Z3.
First, calculate the exponentials: exp(Z1) = exp(-1) ≈ 0.3678794412, exp(Z2) = exp(1) ≈ 2.718281828, exp(Z3) = exp(2) ≈ 7.389056099.
Next, sum these exponentials to obtain the normalization constant: S = 0.3678794412 + 2.718281828 + 7.3890......Login to view full explanationLog in for full answers
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