Decision Making and Optimization under Uncertainty

Kamesh Munagala

Reading group, Georgia Tech, Fall '08

Time/Place: Thursday 2-3pm at KACB 2108.

Presenting:  If you are interested in presenting one of these papers or a related one, please email me.

Theme:  Theoretical modeling and algorithms with provable guarantees for various optimization problems arising in decision making under uncertainty. This collection is by no means exhaustive, and is biased by my personal viewpoint of the area. If you have other suggestions, please email me.

Schedule:

08/21: (Kamesh Munagala) A short proof of the Gittins index theorem
09/04: (Kamesh Munagala) Sequential design of experiments via linear programming
09/18: (Georgios Kotsalis)  Optimal auction design
09/25: (Gagan Goel)           Auctions vs Negotiations
09/29: (ARC Seminar)        Approximation algorithms for restless bandit problems
10/16: (Kamesh Munagala) Optimal Mechanism Design and Money Burning


TOPIC
ALGORITHMIC
TECHNIQUE

PAPERS
DATE
PRESENTER
Multi-armed Bandits (MDP)





Dynamic Programming
A short proof of the Gittins index theorem
08/21
Kamesh Munagala

Linear Program Rounding
Sequential design of experiments via linear programming

Approximation algorithms for restless bandit problems
09/04

09/29
Kamesh Munagala

Kamesh Munagala
Online Learning





Follow the leader

Finite-time analysis of the multiarmed bandit problem

Efficient algorithms for online decision problems



Gradient descent Online convex programming and generalized infinitesimal gradient ascent

Playing games with approximation algorithms


Inventory Control





Dual balancing
Approximation algorithms for stochastic inventory control models



Online algorithms
Online make-to-order joint replenishment model: Primal-dual competitive algorithms


Multi-stage Optimization




Sampling of scenarios
Sampling bounds for stochastic optimization

Boosted sampling:  Approximation algorithms for stochastic optimization


Bayesian Game Theory




Revenue Maximization
Optimal auction design

Auctions vs Negotiations

Optimal Mechanism Design and Money Burning
09/18

09/25

10/16
Georgios Kotsalis

Gagan Goel

Kamesh Munagala

Markov Decision Processes
Optimal coordinated planning amongst self-interested agents with private state


Robust Optimization





Linear Program Rounding
Robust combinatorial optimization with exponential scenarios



Convex Programming
Robust solutions of uncertain linear programs