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Related lectures (31)

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Algorithms: Union Find and Minimum Spanning Trees

Discusses Union-Find data structures and Minimum Spanning Trees, covering algorithms and their applications in network design and optimization.

Stochastic Simulation: Metropolis-Hastings Algorithm

Covers the Metropolis-Hastings algorithm for stochastic simulation and discusses its steps and convergence.

Dynamic Programming: Rod Cutting and Matrix Chain Multiplication

Covers dynamic programming techniques for solving the rod cutting and matrix chain multiplication problems.

Greedy Change-Making Algorithm: Optimality and Stability

Explores the optimality of the greedy change-making algorithm and the stability of maximum matching.

Coin Rendering: Part 1

Covers coin rendering and the limitations of the greedy algorithm in finding optimal solutions.

Halting Problem: Unsolvable Problems

Explores the unsolvability of the halting problem in algorithms and the limitations of procedures in determining program halting.

Optimization and Simulation

Explores greedy heuristics in optimization, integrality constraints, and comparison of optimization methods.

Optimisation Algorithms: Greedy Approach

Explores optimization problems solved with greedy algorithms and proves the optimality of the Cashier's Algorithm for U.S. coins.

Algorithmic Paradigms for Dynamic Graph Problems

Covers algorithmic paradigms for dynamic graph problems, including dynamic connectivity, expander decomposition, and local clustering, breaking barriers in k-vertex connectivity problems.

Rounding the relaxation: Max Sum Diversification

Explores rounding the relaxation and Max Sum Diversification, discussing effects, integral solutions, and loss bounds.