Maximum submodular coverage This week we study the maximum submodular coverage problem, a generalization of the maximum coverage problem. We also intro- duce the concept of approximation algorithms. 11.1 Maximum coverage We start by discussing the maximum coverage problem. Given a collection of subsets S = {S1,…,Sm} of a ground set U, we want to […]
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Assessed Preparation 1: 2: 3: 4: 5: 6: 7: 8: 9: functionCOUNT(A[1..n],target) count = 0 whilei ≤n do if A[i] = target then count = count + 1 i=i+1 end while return count endfunction Week 2 Studio Sheet (Solutions) Useful advice: The following solutions pertain to the theoretical problems given in the tutorial classes. You
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Week 9 Studio Sheet (Solutions) Useful advice: The following solutions pertain to the theoretical problems given in the tutorial classes. You are strongly advised to attempt the problems thoroughly before looking at these solutions. Simply reading the solu- tions without thinking about the problems will rob you of the practice required to be able to
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Assessed Preparation Week 6 Studio Sheet (Solutions) Useful advice: The following solutions pertain to the theoretical problems given in the tutorial classes. You are strongly advised to attempt the problems thoroughly before looking at these solutions. Simply reading the solu- tions without thinking about the problems will rob you of the practice required to be
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Week 4 Studio Sheet (Solutions) Useful advice: The following solutions pertain to the theoretical problems given in the tutorial classes. You are strongly advised to attempt the problems thoroughly before looking at these solutions. Simply reading the solu- tions without thinking about the problems will rob you of the practice required to be able to
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Implementation checklist Week 10 Studio Sheet (Solutions) Useful advice: The following solutions pertain to the theoretical problems given in the tutorial classes. You are strongly advised to attempt the problems thoroughly before looking at these solutions. Simply reading the solu- tions without thinking about the problems will rob you of the practice required to be
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Assessed Preparation Week 11 Studio Sheet (Solutions) Useful advice: The following solutions pertain to the theoretical problems given in the tutorial classes. You are strongly advised to attempt the problems thoroughly before looking at these solutions. Simply reading the solu- tions without thinking about the problems will rob you of the practice required to be
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Week 12 Studio Sheet (Solutions) Useful advice: The following solutions pertain to the theoretical problems given in the tutorial classes. You are strongly advised to attempt the problems thoroughly before looking at these solutions. Simply reading the solu- tions without thinking about the problems will rob you of the practice required to be able to
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(b) alogb(n) =nlogb(a) foranybaseb >1 Week 1 Tutorial Sheet (To complete at home during week 1) Problem1. Show,usingelementarypropertiesofthelogarithmfunction,thatthefollowingidentitiesaretrue (a) log k+1+1=log (k +1) (a) Wewillmakeuseofthefactsthatlog2(a)+log2(b)=log2(ab),andthatlog2(2)=1. Usingthese,we find log k +1+1=log k +1+log (2), 22222 =log k+1×2, 22 =log2(k +1), (b) Let’s use the fact that for any positive real a , we can write a
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Week 3 Studio Sheet (Solutions) Useful advice: The following solutions pertain to the theoretical problems given in the tutorial classes. You are strongly advised to attempt the problems thoroughly before looking at these solutions. Simply reading the solu- tions without thinking about the problems will rob you of the practice required to be able to
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