Maximum entropy and the problem of moments: A stable algorithm

Details Maximum entropy and the problem of moments: A stable algorithm Maximum entropy and the problem of moments: A stable algorithm

2004-12-27

arxiv.org/abs/cond-mat/0412717v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages including 3 figures

Scientific paper

10.1103/PhysRevE.71.057701

We present a technique for entropy optimization to calculate a distribution from its moments. The technique is based upon maximizing a discretized form of the Shannon entropy functional by mapping the problem onto a dual space where an optimal solution can be constructed iteratively. We demonstrate the performance and stability of our algorithm with several tests on numerically difficult functions. We then consider an electronic structure application, the electronic density of states of amorphous silica and study the convergence of Fermi level with increasing number of moments.

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