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arXiv · 1607.04819

A Faster Algorithm for Asymptotic Communication for Omniscience

Ni Ding·Chung Chan·Qiaoqiao Zhou·Rodney A. Kennedy·Parastoo Sadeghi
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Abstract

We propose a modified decomposition algorithm (MDA) to solve the asymptotic communication for omniscience (CO) problem where the communication rates could be real or fractional. By starting with a lower estimation of the minimum sum-rate, the MDA algorithm iteratively updates the estimation by the optimizer of a Dilworth truncation problem until the minimum is reached with a corresponding optimal rate vector. We also propose a fusion method implementation of the coordinate-wise saturation capacity algorithm (CoordSatCapFus) for solving the Dilworth truncation problem, where the minimization is done over a fused user set with a cardinality smaller than the original one. We show that the MDA algorithm is less complex than the existing ones. In addition, we show that the non-asymptotic CO problem, where the communication rates are integral, can be solved by one more call of the CoordSatCapfus algorithm. By choosing a proper linear ordering of the user indices in the MDA algorithm, the optimal rate vector is also the one with the minimum weighted sum-rate.

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Ni Ding, Chung Chan, Qiaoqiao Zhou, Rodney A. Kennedy, Parastoo Sadeghi. 2016-07-17. A Faster Algorithm for Asymptotic Communication for Omniscience. https://arxiv.org/abs/1607.04819

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