In deep learning, given 1) an input image represented by a (3x28x28) tensor, 2) 12 (3x4x4) !lters, 3) a valid, no padded, convolution, is the output:  a) a (12x25x25) cube of feature maps where each value in each map is the result of the convolution of 48 values into one? b) a (12x25x25) cube of feature maps where each value in each map is the result of the convolution of 16 values into one? or c) a (12x28x28) cube of feature maps where each value in each map is the result of the convolution of 24 values into one?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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In deep learning, given 1) an input image represented by a (3x28x28) tensor, 2) 12 (3x4x4) !lters, 3) a valid, no padded, convolution, is the output: 

a) a (12x25x25) cube of feature maps where each value in each map is the result of the convolution of 48 values into one?

b) a (12x25x25) cube of feature maps where each value in each map is the result of the convolution of 16 values into one? or

c) a (12x28x28) cube of feature maps where each value in each map is the result of the convolution of 24 values into one?

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The output is a (12x25x25) cube of feature maps, where each value in each map is the result of the convolution of 48 values into one, from an input image represented by a (3x28x28) tensor, 12 (3x4x4) filters, and a valid, no padding, convolution.

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