Steve wants to analyze an astronomical image I taken by the Hubble Space
Telescope. The image captures distant galaxies, nebulae, and bright stars, but
due to the high resolution, he needs to reduce its size while retaining the critical
features, such as the brightest celestial objects.
To achieve this, he hands the task to his assistant, Alice, who applies pool-
ing techniques to extract the most important features while downsampling the
image. She uses average pooling for the required task and ends up losing the
required information.
• Explain why she failed at the task and show the result of average pooling.
• Apply the necessary correction and comment on the correction applied
and the results.
$$I = \begin{bmatrix}
10 & 50 & 255 & 70 \\
90 & 60 & 20 & 40 \\
80 & 20 & 10 & 90 \\
30 & 50 & 70 & 60
\end{bmatrix}$$
Use a filter size of 2 × 2 with a stride of 2.
