Question 4: Consider the following dataset where each data point cons…

Consider the following dataset where each data point consists of three features $x_1, x_2$ and $x_3$ as

$(2, 4, 3), (5, 5, 6), (2, 2, 1), (4, 4, 6)$

Suppose the encoder and decoder functions, $f$ and $g$ respectively, are defined as

$f(x_1, x_2, x_3) = 0.5x_1 + 0.5x_2 - x_3 \quad \text{and} \quad g(u) = [u, u, u].$

Find the reconstruction loss.

Hint : “The reconstruction loss of the encoder decoder pair is the mean of the squared distance between the actual input and reconstructed input.”