Date of Original Version
Abstract or Description
The smoothed complexity  of an algorithm is the expected running time of the algorithm on an arbitrary instance under a random perturbation. It was shown recently that the simplex algorithm has polynomial smoothed complexity. We show that a simple greedy algorithm for linear programming, the perceptron algorithm, also has polynomial smoothed complexity, in a high probability sense; that is, the running time is polynomial with high probability over the random perturbation.
Proceedings of the Thirteenth Annual ACM-SIAM Symposium on Discrete Algorithms , 905-914.