Prove Claim 14.10.

1 Prove Claim 14.10. Hint: Extend the proof of Lemma 13.5.

2 Prove Corollary 14.14.

3 Perceptron as a subgradient descent algorithm: Let = ((x1y1), . . .,(xmym)) ∈ (R×{±1})m. Assume that there exists w ∈ Rsuch that for every ∈ [m] we have yi _w,xi_ ≥ 1, and let wbe a vector that has the minimal norm among all vectors that satisfy the preceding requirement. Let = max      xi             . Define a function (w) = max i∈[m(1− yi _w,x_. _ Show that minw:          w            ≤             w_          (w) = 0 and show that any w for which (w) <>1 separates the examples in S. _ Show how to calculate a subgradient of . _ Describe and analyze the subgradient descent algorithm for this case. Compare the algorithm and the analysis to the Batch Perceptron algorithm given in

Section 9.1.2.

find the cost of your paper

Suggest a modification of the binary search algorithm that emulates this strategy for a list of names.

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Explain why insertion sort works well on partially sorted lists.

1. Which configuration of data in a list causes the smallest number of exchanges in a selection sort? Which configuration of data causes the largest number of exchanges? 2. Explain….

Draw a class diagram that shows the relationships among the classes in this new version of the system

Jack decides to rework the banking system, which already includes the classes BankView, Bank, SavingsAccount, and RestrictedSavingsAccount. He wants to add another class for checking accounts. He sees that savings….