A softmax layer in a neural network takes an input vector x and produces an output vector
Question:
A softmax layer in a neural network takes an input vector x and produces an output vector y, where
a. Obtain the derivatives ∂yj/∂xi in terms of x-values for the cases i = j and i ≠ j.
b. Re-express the derivatives in terms of y-values.
c. What can you say about the signs of the derivatives?
d. Using the indicator function 1(i = j), which has value 1 if i = j and 0 otherwise, combine your two expressions from part (b) into a single expression for the derivative ∂yj/∂xi.
Transcribed Image Text:
yj Σ ear; •k = la €*k
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a The derivative of the softmax function with respect to the input x can be calculated ...View the full answer
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Related Book For
Artificial Intelligence A Modern Approach
ISBN: 9780134610993
4th Edition
Authors: Stuart Russell, Peter Norvig
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