The Surprising Power of Randomness in Algorithms
2025-08-16
From simulating nuclear processes to primality testing, randomness plays a surprisingly crucial role in computer science. While seemingly paradoxical, pure randomness helps uncover the structure that solves a problem. For instance, Fermat's Little Theorem, combined with random numbers, provides an efficient way to test if a large number is prime. Although deterministic equivalents exist in theory, randomized algorithms often prove more efficient in practice. In some cases, like finding shortest paths in graphs with negative edge weights, randomized algorithms are the only known efficient approach. Randomness offers a clever strategy to tackle complex computational problems.