Course description: Randomness has proven itself to be a useful resource for developing provably efficient algorithms and protocols. As a result, the study of randomized algorithms has become a major ...

# === A-2: Finding the k-th Smallest Element (Randomized Select) === # An algorithm that finds the k-th smallest element in average O(n) time without sorting # Selection algorithm using quicksort's ...

Abstract: In recent years, we have seen a growing interest in probabilistic methods for designing uncertain complex systems. In this lecture, we provide a broad perspective of this research area and ...