Controlling the threshold in Logistic Regression in Scikit Learn

Question

I am using the LogisticRegression() method in scikit-learn on a highly unbalanced data set. I have even turned the class_weight feature to auto.

I know that in Logistic Regression it should be possible to know what is the threshold value for a particular pair of classes.

Is it possible to know what the threshold value is in each of the One-vs-All classes the LogisticRegression() method designs?

I did not find anything in the documentation page.

Does it by default apply the 0.5 value as threshold for all the classes regardless of the parameter values?

Answer 1

There is a little trick that I use, instead of using model.predict(test_data) use model.predict_proba(test_data). Then use a range of values for thresholds to analyze the effects on the prediction;

pred_proba_df = pd.DataFrame(model.predict_proba(x_test))
threshold_list = [0.05,0.1,0.15,0.2,0.25,0.3,0.35,0.4,0.45,0.5,0.55,0.6,0.65,.7,.75,.8,.85,.9,.95,.99]
for i in threshold_list:
    print ('\n******** For i = {} ******'.format(i))
    Y_test_pred = pred_proba_df.applymap(lambda x: 1 if x>i else 0)
    test_accuracy = metrics.accuracy_score(Y_test.as_matrix().reshape(Y_test.as_matrix().size,1),
                                           Y_test_pred.iloc[:,1].as_matrix().reshape(Y_test_pred.iloc[:,1].as_matrix().size,1))
    print('Our testing accuracy is {}'.format(test_accuracy))

    print(confusion_matrix(Y_test.as_matrix().reshape(Y_test.as_matrix().size,1),
                           Y_test_pred.iloc[:,1].as_matrix().reshape(Y_test_pred.iloc[:,1].as_matrix().size,1)))

Best!