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Let us now plot the ROC-AUC curve. The Receiver Operator Characteristic (ROC) curve is an evaluation metric for binary classification problems. It is a probability curve that plots the TPR against FPR at various threshold values. The Area Under the Curve (AUC) is the measure of the ability of a classifier to distinguish between classes and is used as a summary of the ROC curve. The higher the AUC, the better the performance of the model at distinguishing between the positive and negative classes.
Note:
decision_function
predicts confidence scores for samples. The confidence score for a sample is the signed distance of that sample to the hyperplane. The advantage of Decision Function output is to set DECISION THRESHOLD and predict a new output for X_test, such that we get the desired precision or recall value.
roc_curve
computes ROC by taking true binary labels and confidence values, or non-thresholded measure of decisions as input arguments. It returns
Use decision_function
method of model k
and pass X_test
as argument. Receive the resultant scores in y_k
.
y_k = k.<< your code comes here >>(X_test)
Call roc_curve
function by passing y_test, y_k
as input arguments and receive the returned fpr
, tpr
and thresholds
.
fpr, tpr, thresholds = << your code comes here >>(y_test, y_k)
Calculate the Area Under Curve for the fpr
and tpr
returned by roc_curve. Call auc
function.
roc_auc = << your code comes here >>(fpr, tpr)
Print the roc_auc
measure.
print("ROC-AUC:", roc_auc)
Now visualize the roc_auc curve.
plt.title('Receiver Operating Characteristic')
plt.plot(fpr, tpr, 'b',label='AUC = %0.3f'% roc_auc)
plt.legend(loc='lower right')
plt.plot([0,1],[0,1],'r--')
plt.xlim([-0.1,1.0])
plt.ylim([-0.1,1.01])
plt.ylabel('True Positive Rate')
plt.xlabel('False Positive Rate')
plt.show()
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