Editing Stochastic process (section)

==== Randomized Algorithms ====
Stochastic processes play a critical role in computer science, particularly in the analysis and development of '''randomized algorithms'''. These algorithms utilize random inputs to simplify problem-solving or enhance performance in complex computational tasks. For instance, Markov chains are widely used in probabilistic algorithms for optimization and sampling tasks, such as those employed in search engines like Google's PageRank.<ref name="Randomized algorithms">{{Cite book |title=Randomized algorithms |date=1995 |publisher=Cambridge University Press |isbn=978-0-511-81407-5 |editor-last=Motwani |editor-first=Rajeev |location=Cambridge New York |editor-last2=Raghavan |editor-first2=Prabhakar}}</ref> These methods balance computational efficiency with accuracy, making them invaluable for handling large datasets. Randomized algorithms are also extensively applied in areas such as cryptography, large-scale simulations, and artificial intelligence, where uncertainty must be managed effectively.<ref name="Randomized algorithms"/>