We propose a tightening sequence of optimistic approximations to the Gittins index in “Optimistic Indices.” show that use these concert with an increasing discount factor appears offer compelling alternative state-of-the-art schemes proposed for Bayesian multiarmed bandit problem. prove indices constitutes regret optimal algorithm. Perhaps more interestingly, even loosest substantial performanc...

Water quality indices (WQIs), which translate numerical values of several water quality characteristics of a sample into a single value, play a very important role in the monitoring, comparison and control of water quality. The WQIs of modern and post-modern times have been almost exclusively based on physical and chemical characteristics, and have seldom included 'biological' characteristics o...

A bstract The extent to which quantum mechanical features of black holes can be understood from the Euclidean gravity path integral has recently received significant attention. In this paper, we examine question for calculation supersymmetric index. For concreteness, focus on case charged in asymptotically flat four-dimensional $$ \mathcal{N} <mml:math xmlns:mml="http://www.w3.org/1998/Math/Mat...