Algorithm 1.

ICEBREAKER

Input: Tensor X of dimension I×J×K

Output: Tensor Y of dimension I×J×K1and matrix W of size K1×K

1: i = 1;j = 2

2: previousValue = UtilityFunction(X(:, :, i))

3: while j ≤ K do

4:    currentValue = UtilityFunction(sum(X(:, :, i:j), 3)

5:    if previousValue⋛currentValue then

6:     j = j+1 {Aggregate Slice}

7:   else

8:    {Create a New Slice} Add a row in W with value as 1 for indices i to j−1. {Update indices for next candidate slice}

9:    i = j; j = j+1;

10:   previousValue = UtilityFunction(X(:,:,i));

11:    end if

12: end while

13: Y = X×3W

14: return Y and W 2