Randomized Algorithms - Stanford University
Randomized Algorithms
Part One
Announcements
Problem Set 2 due right now if you're using a late period.
Solutions released right after lecture.
Julie's Tuesday office hours this week will be remote office hours. Details emailed out tomorrow.
Outline for Today
Randomized Algorithms
How can randomness help solve problems?
Quickselect
Can we do away with median-of-medians?
Techniques in Randomization
Linearity of expectation, the union bound, and other tricks.
Randomized Algorithms
Deterministic Algorithms
The algorithms we've seen so far have been deterministic.
We want to aim for properties like
Good worst-case behavior. Getting exact solutions.
Much of our complexity arises from the fact that there is little flexibility here.
Often find complex algorithms with nuanced correctness proofs.
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