Prove that for every learning algorithm A there exist a probability distribution, D, and a learning algorithm B such that A is not better than B w.r.t. D.

1. Let be a domain and {0,1} be a set of labels. Prove that for every distribution over × {0,1}, there exist a learning algorithm AD that is better than any other learning algorithm with respect to D.

2. Prove that for every learning algorithm there exist a probability distribution, D, and a learning algorithm such that is not better than w.r.t. D.

3. Consider a variant of the PAC model in which there are two example oracles: one that generates positive examples and one that generates negative examples, both according to the underlying distribution on X. Formally, given a target function → {0,1}, let D+ be the distribution over X+ = {∈ (x) = 1} defined by D+(A)= D(A)/D(X+), for every ⊂ X+. Similarly, D− is the distribution over X− induced by D. The definition of PAC learnability in the two-oracle model is the same as the standard definition of PAC learnability except that here the learner has access to mH(_, δ) i.i.d. examples fromD+ and m−(_, δ) i.i.d. examples fromD−. The learner’s goal is to output s.t. with probability at least 1 − δ (over the choice of the two training sets, and possibly over the nondeterministic decisions made by the learning algorithm), both L(D)(h) ≤ and L(D)(h) ≤ _.

find the cost of your paper

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

1. Suppose that a list contains the values 20 44 48 55 62 66 74 88 93 99 at index positions 0 through 9. Trace the values of the variables….

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….