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Readings in Optimization >> Content Detail



Lecture Notes



Lecture Notes

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Student presentations, which form the basis for class discussions, are available below. Full citations for the related readings can be found on the readings page.

SES #TOPICS
1MAXCUT; Semidefinite Programming; and the Goemans-Williamson Paper, "Improved Approximation Algorithms for Maximum Cut and Satisfiability Problems Using Semidefinite Programming."

Presentation courtesy of Rob Freund (PDF). This is a summary presentation based on: Goemans, Michel X., and David P. Williamson. "Improved Approximation Algorithms for Maximum Cut and Satisfiability Problems Using Semidefinite Programming." Journal of the ACM 42, no. 6 (November 1995): 1115-45.
2Dunagan and Vempala Paper, "Simple Polynomial-Time Rescaling Algorithm for Solving Linear Programs."

Dunagan, John, and Santosh Vempala. "A Simple Polynomial-Time Rescaling Algorithm for Solving Linear Programs." In Proceedings of the 36th Annual Association for Computing Machinery Symposium on Theory of Computing. New York, NY: ACM Press, 2004.

Storn and Price Paper, "Differential Evolution - A Simple and Efficient Heuristic for Global Optimization over Continuous Spaces."

Presentation courtesy of David Craft. Used with permission (PDF). This is a summary presentation based on: Storn, Rainer, and Kenneth Price. "Differential Evolution - A Simple and Efficient Heuristic for Global Optimization over Continuous Spaces." Journal of Global Optimization 11 (1997): 341-59.
3Clarkson Paper, "Las Vegas Algorithms for Linear and Integer Programming When the Dimension Is Small."

Presentation courtesy of Susan Martonosi. Used with permission (PDF). This is a summary presentation based on: Clarkson, Kenneth L. "Las Vegas Algorithms for Linear and Integer Programming When the Dimension Is Small." Journal of the ACM 42, no. 2 (March 1995): 488-99.

Motwani and Raghavan, Chapter 9 in Randomized Algorithms.

Presentation courtesy of Jan De Mot. Used with permission (PDF). This is a summary presentation based on:
Amazon logo Motwani, Rajeev, and Prabhakar Raghavan. Chapter 9 in Randomized Algorithms. Cambridge, UK: Cambridge University Press, 1995. ISBN: 0-521-47465-5.
4Kalai Paper #1, "A Subexponential Randomized Simplex Algorithm."

Kalai Paper #2, "Linear Programming, the Simplex Algorithm and Simple Polytopes."


Both presentations courtesy of Dan Stratila. Used with permission (PDF). This is a summary presentation based on two papers: Kalai, Gil. "A Subexponential Randomized Simplex Algorithm (Extended Abstract)." In Proceedings of the 24th Annual Association for Computing Machinery Symposium on Theory of Computing. New York, NY: ACM Press, 1992. and,

Kalai, Gil. "Linear Programming, the Simplex Algorithm and Simple Polytopes." Jerusalem, Israel: Hebrew University of Jerusalem, May 1997.
5Solis and Wets Paper, "Minimization by Random Search Techniques."

Presentation courtesy of Michele Aghassi. Used with permission (PDF). This is a summary presentation based on: Solis, F. J., and R. J-B. Wets. "Minimization by Random Search Techniques." Mathematical Operations Research 6 (1981): 19-30.

Romeijn Thesis Book, "Global Optimization by Random Walk Sampling Methods."
6Zabinsky and Smith Paper, "Pure Adaptive Search in Global Optimization."

Presentation courtesy of Michael Yee. Used with permission (PDF). This is a summary presentation based on: Zabinsky, Zelda B., and Robert L. Smith. "Pure Adaptive Search in Global Optimization." Mathematical Programming 55 (1992): 323-38.

Presentation courtesy of Michael Yee and Kwong-Meng Teo. Used with permission (PDF). This is a summary presentation based on: Zabinsky, Zelda B., and Robert L. Smith. "Pure Adaptive Search in Global Optimization." Mathematical Programming 55 (1992): 323-38.
7Simonovits Paper, "How to Compute the Volume in High Dimension?"
8Romeijn and Smith Paper, "Simulated Annealing for Constrained Global Optimization."
9Bertsimas and Vempala Paper, "Solving Convex Programs by Random Walks."

Zabinsky, Smith, etc. Paper, "Improving Hit-and-Run for Global Optimization."
10Zabinsky, Graesser, etc. Paper, "Global Optimization of Composite Laminates Using Improving Hit and Run."

Sanjeev Paper, "Approximation Schemes for NP-hard Geometric Optimization Problems: A Survey."

 








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