Learning from Probabilistic ModelsDelves into challenges of learning from probabilistic models, covering computational complexity, data reconstruction, and statistical gaps.
Linear Algebra ComplexityExplores the complexity of linear algebra operations and optimization methods, including Gaussian elimination and the simplex method.
Complexity of AlgorithmsExplores algorithm complexity, analyzing efficiency and worst-case scenarios of sorting algorithms.
Elements of Computational ComplexityIntroduces computational complexity, decision problems, quantum complexity, and probabilistic algorithms, including NP-hard and NP-complete problems.
Belief propagation simplificationExplores simplifying belief propagation equations for pairwise models, reducing computational complexity from order n cubed to order n.
Dynamic Programming: KnapsackExplores dynamic programming for the Knapsack problem, discussing strategies, algorithms, NP-hardness, and time complexity analysis.
Subset Sum: LLL AlgorithmCovers the Subset Sum problem and the efficient LLL algorithm for finding solutions in lattice basis reduction.
Complexity Classes: P and NPExplores complexity classes P and NP, highlighting solvable and verifiable problems, including NP-complete challenges.
Solving Parity Games in PracticeExplores practical aspects of solving parity games, including winning strategies, algorithms, complexity, determinism, and heuristic approaches.