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Alex Schreiber

Publications and source records attributed to Alex Schreiber.

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Dynamic programming using radial basis functions

We propose a discretization of the optimality principle in dynamic programming based on radial basis functions and Shepard's moving least squares approximation method. We prove convergence of the approximate optimal value function to the true one and present several numerical experiments.

math.OC

The probability of finding a fixed pattern in random data depends monotonically on the bifix indicator

We consider the problem of finding a fixed L-ary sequence in a stream of random L-ary data. It is known that the expected search time is a strictly increasing function of the lengths of the bifices of the pattern. In this paper we prove the related statement that the probability of finding the pattern in a finite random word is a strictly decreasing function of the lengths of the bifices of the pattern.

math.PR