Final answer:
To check for misclassifications, multiply each weight matrix w from history with the predicted values x, compare with true values y and count misclassifications. If any, add the particular w to the mismatches list.
Step-by-step explanation:
To finish the Python code for checking misclassifications, we must use matrix multiplication to apply the weights from the history array to the predicted values x and then compare the resulting predictions with the true values y. If a prediction does not match the true value, it is counted as a misclassification. The matrix of weights w that resulted in a misclassification is then stored in the mismatches list.
The procedure is as follows:
- For each weight matrix w in the history array, multiply x by w to get the predicted outcomes.
- Compare the predictions to the true values y by checking if the sign of the predictions matches that of the true values.
- Count the number of misclassified predictions.
- If there are misclassifications, add the weight matrix to the mismatches list.
The Python code would look something like this:
mismatches = []
for w in history:
predictions = np.dot(w.T, x)
misclassified = np.sum(predictions * y <= 0)
if misclassified > 0:
mismatches.append(w)