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COMP4600/8460 - Advanced Algorithms

S2 2022

Assignment 4

Q2) (10 Marks) Consider a variant of dating problem – each candidate has a score sampled form a uniform distribution in [0, 1]. The candidates are ranked according to their scores. Provide an online strategy that maximizes the chance of picking the candidate of the highest score

Q3) (10 Marks) Simulate WMA and WMU, considering the following experts:

1. Expert who makes a uniformly random prediction all the time

2. Expert who always predicts the same as the outcome of the previous day

3. Expert who predicts the future the outcome of the next day with accuracy of ¹ + δ, where δ is a

small constant

4. Create your own expert and explain your model

Generate the outcome of each day based on a uniform distribution

Vary the number of days T and ϵ to test the accuracy of WMA and WMU

2 Answers

. . .

References

[BE] Borodin & El-Yaniv, Online Computation and Competitive Analysis, Cambridge University Press.