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INSTANT ANSWER

We initialize the parameters to all zero values and run the linear perceptron algorithm through these points in a particular order until convergence. The number of mistakes made on each point are shown in the table below. (These points correspond to the data point in the plot above) Label -1 -1 -1 -1 -1 +1 +1 +1 +1 +1 Coordinates (0,0) (2,0) (3,0) (0,2) (2,2) (5,1) (5,2) (2,4) (4,4) (5,5) Perceptron mistakes 1 9 10 5 9 11 0 3 1 1 Note: You should be able to arrive at the answer without programming. What is the resulting offset parameter θ0? Enter the numerical value for θ0: θ0= unanswered What is the resulting parameter θ? (Enter θ as a vector, e.g. type [0,1] if θ=[01]T.) θ=

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INSTANT ANSWER

The matrix H=In−1n11T arises in the formula for the empirical covariance matrix of a data set. For simplicity, let's set n=3. Then we have Let x=(2,−1,−2)T. What is Hx? (Hx)(1)= unanswered (Hx)(2)= unanswered (Hx)(3)= unanswered What is H2x? (H2x)(1)= unanswered (H2x)(2)= unanswered (H2x)(3)=

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