Polynomial-time approximation scheme

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Related lectures (29)

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FPTAS for Knapsack

Introduces the FPTAS for the Knapsack problem, focusing on achieving an approximation of (1-ε) times the optimal solution.

Theory of Computation Laboratory 2: Resource Allocation and Network Design

Explores approximation algorithms for resource allocation and network design problems, competitive algorithms for the TCP acknowledgment problem, and experimental results.

P vs NP: Complexity Theory

Delves into complexity theory, focusing on the P vs NP problem and the classification of computational problems based on efficiency.

Integer Optimization: Theory and Applications

Covers the fundamentals of integer optimization, including integer programming, dynamic programming, and approximation algorithms.

Numerical Analysis: Quadrature Formulas

Explores the theory and application of quadrature formulas for numerical analysis.

Correctness and Soundness of the Qubit Test

Explores the correctness and soundness of the Qubit Test, emphasizing probabilistic algorithms, trapdoors, and function inversion.

Density Operator Formalism

Covers the density operator formalism, polynomial time, NP problems, BPP, QMA, and probabilistic algorithms.

Theory of Computation: Decidability and Complexity

Delves into the theory of computation, covering decidability, complexity, P vs. NP, and reductions.

Sparsest Subgraph: Densest Subgraph

Covers Sparsest Subgraph and Densest Subgraph, focusing on correlation clustering and approximation algorithms.

Interpolation: Applications and Techniques

Explores interpolation applications in biological tissue and population census data analysis using the method of least squares.