Question: Write your answer to three decimal places. Consider we have a cross-entropy loss function for binary classification: L=[yln(a)+(1y)ln(1a)], where a is the probability out from

Write your answer to three decimal places. Consider we have a

cross-entropy loss function for binary classification: L=[yln(a)+(1y)ln(1a)], where a is the probability

Write your answer to three decimal places.

Consider we have a cross-entropy loss function for binary classification: L=[yln(a)+(1y)ln(1a)], where a is the probability out from the output layer activation function. We've built a computation graph of the network as shown below. The blue letters below are intermediate variable labels to help you understand the connection between the network architecture graph above and the computation graph. When y=1, what is the gradient of the loss function w.r.t. W11? Write your answer to three decimal places. Note: Please use the computation graph method. One can calculate the gradient directly using chain rules, but if the computation graph is not used at all, it will not score properly. Try to fill the red boxes above. This question does not need coding and the answer can be easily obtained analytically. Hint: You may use the property of z(z)=(1)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

Consider we have a cross - entropy loss function for binary classification: L = [ ln ( ) + ( 1 ) ln ( 1 ) ] , where is the probability out from the output layer activation function. We've built a...

Write your answer to three decimal. 7. Consider a neural network shown below. Consider we have a cross-entropy loss function for binary classification: L=[yln(a)+(1y)ln(1a)], where a is the...

Jupyter Notebook Now that we have tried our hand at some single-layer nets, let's see how they stack up compared to multi-layer nets. :) We will be exploring the basic concepts of learning non-linear...

Q 6 . When y = 1 , what is the gradient of the loss function w . r . t . W 1 1 ? Write your answer to three decimal places. Note: Please use the computation graph method. One can calculate the...

The following variables are used in an implementation of the algorithm: ar is the count of active readers rr is the count of reading readers aw is the count of active writers ww is the count of...

Describe how to construct the function cpo ((D E), v) of two cpos (D, vD) and (E, vE). Prove that ((D E), v) is a cpo. (You may use facts about least upper bounds provided you state them clearly.)...

Time The Police Department has 5 patrol cars. A patrol car breaks down and requires service once every 50 days. The police department has three repair workers each of whom takes an average of 5 days...

Please show work on all! thank you Requirements: 1) You MUST show all your work to receive full credit. 2) You may convert between multiple bases to check your answer. 2.1) EX: 0000 0011 + 1111 1101...

Time left 1:27:2 A manufacture has 5 patrol machines. A machine breaks down and requires service once every 50 days. The manufacture has three repair workers each of whom takes an average of 15 days...

Explain how to calculate the determinant of a matrix.

News Story 16: More on TV Violence.

5 ) In 2 0 2 3 , an individual makes substantial cash contributions to public charities. He will be able to deduct these contributions up to a ceiling of 1 0 0 % of AGI. ( true or false )

According to the Mexica leaders, who taught them their religious beliefs and practices? The gods themselves Their ancestors The Spanish The Inca

3 How does celebrity culture relate to public speaking? Is a movie star more capable of drawing support for a cause than an ordinary citizen?

2 How does the clicker change the nature of the lecture? Does it change the relationship between speaker and audience? Or does it simply change the interaction between them?

6-14 Explain why distributed architectures are flexible. The Lego Group, which is headquartered in Billund, Denmark, is one of the largest toy manufacturers in the world. Legos main products have...