Question

Write a function computeW to compute the linear separator vector w given a data set x, corresponding class labels y, and corresponding weights . Specifically, the function will be called as: computeW(dataSet, labels, alphas)

Answer 1

The function computeW is to calculate the weight vector 'w' for a support vector machine using a provided dataset, class labels, and corresponding weights 'alphas'. It sums the products of weights, labels, and data points for each non-zero weight.

Step-by-step explanation:

The question requires writing a function named computeW that calculates the linear separator vector w in a machine learning context, specifically for support vector machines (SVM). Given a dataset x, class labels y, and a set of weights alphas, the function would compute the vector as a sum of the products of the weights and their corresponding data points, only considering those data points for which the weights are non-zero. The function could be implemented in a programming language like Python as follows:

def computeW(dataSet, labels, alphas):
w = sum(alphas[i] * labels[i] * dataSet[i] for i in range(len(dataSet)))
return w

In this implementation, the dataSet is iterated over, and the weight of each data point is multiplied by its class label and then by the data point itself. The resulting products are then summed to obtain the linear separator vector w.