The variable 'points' is a 1500 by 50 array in which each row is a 50 dimensional vector.

The variable 'test_points' is another similar 1500 by 50 array generated from the same distribution as 'points'.

However, 25 points in 'test_points' are outliers that are generated from a different distribution.

Your task is to determine which 25 points in 'test_points' are outliers.

To determine outliers:
    1) compute p(x) for every point in 'test_points' using a kernel density estimate
    2) compute average p(x) for 'test_points'
    3) compute standard deviation of p(x) for 'test_points'
    4) compute z_score of every point in 'test_points' (z_score = ( p(x)-average ) / std)
    5) if abs(z_score)>3, then point x is an outlier.

Save the indices of outlier points in outlier_inds.mat.