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Spectrum Bandit Optimization

Abstract : We consider the problem of allocating radio channels to links in a wireless network. Links interact through interference, modelled as a conflict graph (i.e., two interfering links cannot be simultaneously active on the same channel). We aim at identifying the channel allocation maximizing the total network throughput over a finite time horizon. Should we know the average radio conditions on each channel and on each link, an optimal allocation would be obtained by solving an Integer Linear Program (ILP). When radio conditions are unknown a priori, we look for a sequential channel allocation policy that converges to the optimal allocation while minimizing on the way the throughput loss or {\it regret} due to the need for exploring sub-optimal allocations. We formulate this problem as a generic linear bandit problem, and analyze it first in a stochastic setting where radio conditions are driven by a stationary stochastic process, and then in an adversarial setting where radio conditions can evolve arbitrarily. We provide, in both settings, algorithms whose regret upper bounds outperform those of existing algorithms for linear bandit problems.
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Contributor : Marc Lelarge Connect in order to contact the contributor
Submitted on : Wednesday, December 11, 2013 - 6:49:06 PM
Last modification on : Thursday, March 17, 2022 - 10:08:43 AM


  • HAL Id : hal-00917427, version 1


Marc Lelarge, Alexandre Proutière, Sadegh Talebi. Spectrum Bandit Optimization. IEEE Information Theory Workshop, Sep 2013, Seville, Spain. ⟨hal-00917427⟩



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