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Quiz 2: CS7643 Deep Learning Test with Verified Answers | 100% Correct| Latest 2025/2026 Update - Georgia Institute of Technology.

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Weight sharing The weights will represent what types of features we will extract. The weights (W) will be the same for each output node with respect to a specific kernel, regardless of the specific image patch we are looking at. The total number of input parameters: K1 x K2 + 1 Input parameters with multiple feature extractions (K1 x K2 + 1) x M where M is the number of features Relationship between convolution and cross-correlation Duality: If cross-correlation is the forward pass (which is the easier operation), the convolution operation is going to be the backward pass to calculate gradients (vice versa) Valid convolution When the kernel is fully on the image. (No padding) Output size of the vanilla convolution, given H, W, K1, K2 (H - K1 + 1) x (W - K2 + 1) How to add padding Increases the size of the image with P in both directions (top & bottom, left & right) --> (H + 2P) x (W + 2P) Can be filled with zeros or mirror the image Convolution Features edges colors textures motifs (corners, shapes) Receptive field A region of an image (image patch) from which the node receives input. Usually denoted by a K1 x K2 matrix. Convolution vs Cross-correlation Convolution: flip the kernel (rotate 180) and take the dot product with image patch Cross-correlation: do not flip the kernel to take the dot product with image patch Quiz 2: CS7643 Deep Learning Test with Verified Answers | 100% Correct| Latest 2025/2026 Update - Georgia Institute of Technology.

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Uploaded on
March 27, 2025
Number of pages
13
Written in
2024/2025
Type
Exam (elaborations)
Contains
Questions & answers

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  • quiz 2 cs7643

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Quiz 2: CS7643 Deep Learning Test with i,- i,- i,- i,- i,- i,- i,-




Verified Answers | 100% Correct| Latest i,- i,- i,- i,- i,- i,-




2025/2026 Update - Georgia Institute of i,- i,- i,- i,- i,- i,-




Technology.

Weight sharing The weights will represent what types of
i,- i,-i,- i,- i,- i,- i,- i,- i,- i,- i,-



features we will extract. The weights (W) will be the same for each
i,- i,- i,- i,- i,- i,- i,- i,- i,- i,- i,- i,- i,-



output node with respect to a specific kernel, regardless of the
i,- i,- i,- i,- i,- i,- i,- i,- i,- i,- i,-



specific image patch we are looking at. i,- i,- i,- i,- i,- i,- i,-




The total number of input parameters:
i,- i,- i,- i,- i,- i,-




K1 x K2 + 1
i,- i,- i,- i,-




Input parameters with multiple feature extractions
i,- i,- i,- i,- i,- i,-i,- i,- (K1 x K2 + i,- i,- i,- i,-



1) x M
i,- i,-




where M is the number of features
i,- i,- i,- i,- i,- i,-




Relationship between convolution and cross-correlation i,- i,- i,- i,- i,-i,- i,-



Duality: If cross-correlation is the forward pass (which is the easier
i,- i,- i,- i,- i,- i,- i,- i,- i,- i,- i,-



operation), the convolution operation is going to be the i,- i,- i,- i,- i,- i,- i,- i,- i,-



backward pass to calculate gradients (vice versa) i,- i,- i,- i,- i,- i,-

, Valid convolution
i,- i,-i,- i,- When the kernel is fully on the image. (No
i,- i,- i,- i,- i,- i,- i,- i,- i,-



padding)


Output size of the vanilla convolution,
i,- i,- i,- i,- i,- i,-




given H, W, K1, K2i,- i,- i,- i,- i,-i,- i,- (H - K1 + 1) x (W - K2 + 1)
i,- i,- i,- i,- i,- i,- i,- i,- i,- i,-




How to add padding
i,- Increases the size of the image with P in
i,- i,- i,-i,- i,- i,- i,- i,- i,- i,- i,- i,- i,- i,-



both directions (top & bottom, left & right)
i,- i,- i,- i,- i,- i,- i,- i,-




--> (H + 2P) x (W + 2P)
i,- i,- i,- i,- i,- i,- i,-




Can be filled with zeros or mirror the image
i,- i,- i,- i,- i,- i,- i,- i,-




Convolution Features i,- i,-i,- i,- edges
colors
textures
motifs (corners, shapes)i,- i,-




Receptive field A region of an image (image patch) from
i,- i,-i,- i,- i,- i,- i,- i,- i,- i,- i,- i,-



which the node receives input. Usually denoted by a K1 x K2
i,- i,- i,- i,- i,- i,- i,- i,- i,- i,- i,- i,-



matrix.


Convolution vs Cross-correlation Convolution: flip the kernel
i,- i,- i,-i,- i,- i,- i,- i,- i,-



(rotate 180) and take the dot product with image patch
i,- i,- i,- i,- i,- i,- i,- i,- i,-

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