Explained Variance Ratio

Convert the eigenvalues of a covariance matrix into explained-variance ratios: each eigenvalue divided by their sum.

Implement solve(eigenvalues).

Returns. Return a NumPy vector that sums to 1. If the eigenvalues sum to zero, return a vector of zeros.

Examples

Example 1

Input:

solve([2.0, 1.0])

Output:

[0.666667, 0.333333]

Example 2

Input:

solve([5.0, 3.0, 2.0])

Output:

[0.5, 0.3, 0.2]

Example 3

Input:

solve([0.0, 0.0])

Output:

[0.0, 0.0]