design the function function cm = classification_margin(x, t, map_func, theta) the function return a vector of the classification margins cm as the column vector in matlab

The classification_margin() function can be designed as follows:

main.m
function cm = classification_margin(x, t, map_func, theta)
% Returns a vector of classification margins (cm)

% Calculate the scores of features
scores = map_func(x) * theta;

% Calculate the predicted class y
if scores > 0
    y = 1; % Predicted class: +1
else
    y = -1; % Predicted class: -1
end

% Calculate the classification margin (cm)
cm = y * scores * t;

end
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This function takes four parameters: x is the feature vector, t is the true class label, map_func is the feature mapping function, and theta is the weight vector. The function first calculates the scores of the features by multiplying the mapped feature vector with the weight vector. It then checks the sign of the scores to determine the predicted class label y. Finally, the classification margin cm is calculated as the product of y, scores, and t. The output is returned as a column vector of classification margins. This implementation is vectorized, meaning it is optimized for efficient computation on arrays of arbitrary size.

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