Multi-class multi-label confusion matrix with Sklearn

Anna Jeanine picture Anna Jeanine · Dec 21, 2018 · Viewed 16.4k times · Source

I am working with a multi-class multi-label output from my classifier. The total number of classes is 14 and instances can have multiple classes associated. For example:

y_true = np.array([[0,0,1], [1,1,0],[0,1,0])
y_pred = np.array([[0,0,1], [1,0,1],[1,0,0])

The way I am making my confusion matrix right now:

matrix = confusion_matrix(y_true.argmax(axis=1), y_pred.argmax(axis=1))
print(matrix)

Which gives an output like:

[[ 79   0   0   0  66   0   0 151   1   8   0   0   0   0]
 [  4   0   0   0  11   0   0  27   0   0   0   0   0   0]
 [ 14   0   0   0  21   0   0  47   0   1   0   0   0   0]
 [  1   0   0   0   4   0   0  25   0   0   0   0   0   0]
 [ 18   0   0   0  50   0   0  63   0   3   0   0   0   0]
 [  4   0   0   0   3   0   0  19   0   0   0   0   0   0]
 [  2   0   0   0   3   0   0  11   0   2   0   0   0   0]
 [ 22   0   0   0  20   0   0 138   1   5   0   0   0   0]
 [ 12   0   0   0   9   0   0  38   0   1   0   0   0   0]
 [ 10   0   0   0   3   0   0  40   0   4   0   0   0   0]
 [  3   0   0   0   3   0   0  14   0   3   0   0   0   0]
 [  0   0   0   0   2   0   0   3   0   0   0   0   0   0]
 [  2   0   0   0  11   0   0  32   0   0   0   0   0   0]
 [  0   0   0   0   0   0   0   3   0   0   0   0   0   7]]

Now, I am not sure if the confusion matrix from sklearn is capable of handling multi-label multi-class data. Could someone help me with this?

Answer

Karl picture Karl · Dec 21, 2018

What you need to do is to generate multiple binary confusion matrices (since essentially what you have are multiple binary labels)

Something along the lines of:

import numpy as np
from sklearn.metrics import confusion_matrix

y_true = np.array([[0,0,1], [1,1,0],[0,1,0]])
y_pred = np.array([[0,0,1], [1,0,1],[1,0,0]])

labels = ["A", "B", "C"]

conf_mat_dict={}

for label_col in range(len(labels)):
    y_true_label = y_true[:, label_col]
    y_pred_label = y_pred[:, label_col]
    conf_mat_dict[labels[label_col]] = confusion_matrix(y_pred=y_pred_label, y_true=y_true_label)


for label, matrix in conf_mat_dict.items():
    print("Confusion matrix for label {}:".format(label))
    print(matrix)