RSS Feed for approximate counting https://solvonauts.org/%3Faction%3Drss_search%26term%3Dapproximate+counting RSS Feed for approximate counting 6.856J Randomized Algorithms (MIT) 6.856J Randomized Algorithms (MIT) This course examines how randomization can be used to make algorithms simpler and more efficient via random sampling random selection of witnesses symmetry breaking and Markov chains Topics covered include randomized computation data structures hash tables skip lists graph algorithms minimum spanning trees shortest paths minimum cuts geometric algorithms convex hulls linear programming in fixed or arbitrary dimension approximate counting parallel algorithms online algorithms derandomization techniques and tools for probabilistic analysis of algorithms This course examines how randomization can be used to make algorithms simpler and more efficient via random sampling random selection of witnesses symmetry breaking and Markov chains Topics covered include randomized computation data structures hash tables skip lists graph algorithms minimum spanning trees shortest paths minimum cuts geometric algorithms convex hulls linear programming in fixed or arbitrary dimension approximate counting parallel algorithms online algorithms derandomization techniques and tools for probabilistic analysis of algorithms http://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-856j-randomized-algorithms-fall-2002 http://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-856j-randomized-algorithms-fall-2002 6.856J Randomized Algorithms (MIT) This course examines how randomization can be used to make algorithms simpler and more efficient via random sampling random selection of witnesses symmetry breaking and Markov chains Topics covered include randomized computation data structures hash tables skip lists graph algorithms minimum spanning trees shortest paths minimum cuts geometric algorithms convex hulls linear programming in fixed or arbitrary dimension approximate counting parallel algorithms online algorithms derandomization techniques and tools for probabilistic analysis of algorithms https://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-856j-randomized-algorithms-fall-2002 https://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-856j-randomized-algorithms-fall-2002 18.405J Advanced Complexity Theory (MIT) This graduate level course focuses on current research topics in computational complexity theory Topics include Nondeterministic alternating probabilistic and parallel computation models Boolean circuits Complexity classes and complete sets The polynomial time hierarchy Interactive proof systems Relativization Definitions of randomness Pseudo randomness and derandomizations Interactive proof systems and probabilistically checkable proofs https://ocw.mit.edu/courses/mathematics/18-405j-advanced-complexity-theory-spring-2016 https://ocw.mit.edu/courses/mathematics/18-405j-advanced-complexity-theory-spring-2016