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430
Gaussian Process Optimization in the Bandit Setting: No Regret and Experimental Design
"... Many applications require optimizing an unknown, noisy function that is expensive to evaluate. We formalize this task as a multiarmed bandit problem, where the payoff function is either sampled from a Gaussian process (GP) or has low RKHS norm. We resolve the important open problem of deriving regre ..."
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Cited by 118 (11 self)
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Many applications require optimizing an unknown, noisy function that is expensive to evaluate. We formalize this task as a multiarmed bandit problem, where the payoff function is either sampled from a Gaussian process (GP) or has low RKHS norm. We resolve the important open problem of deriving regret bounds for this setting, which imply novel convergence rates for GP optimization. We analyze GPUCB, an intuitive upperconfidence based algorithm, and bound its cumulative regret in terms of maximal information gain, establishing a novel connection between GP optimization and experimental design. Moreover, by bounding the latter in terms of operator spectra, we obtain explicit sublinear regret bounds for many commonly used covariance functions. In some important cases, our bounds have surprisingly weak dependence on the dimensionality. In our experiments on real sensor data, GPUCB compares favorably with other heuristical GP optimization approaches. 1.
MonteCarlo Planning in Large POMDPs
 In Advances in Neural Information Processing Systems 23
, 2010
"... This paper introduces a MonteCarlo algorithm for online planning in large POMDPs. The algorithm combines a MonteCarlo update of the agent’s belief state with a MonteCarlo tree search from the current belief state. The new algorithm, POMCP, has two important properties. First, MonteCarlo sampling ..."
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Cited by 111 (8 self)
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This paper introduces a MonteCarlo algorithm for online planning in large POMDPs. The algorithm combines a MonteCarlo update of the agent’s belief state with a MonteCarlo tree search from the current belief state. The new algorithm, POMCP, has two important properties. First, MonteCarlo sampling is used to break the curse of dimensionality both during belief state updates and during planning. Second, only a black box simulator of the POMDP is required, rather than explicit probability distributions. These properties enable POMCP to plan effectively in significantly larger POMDPs than has previously been possible. We demonstrate its effectiveness in three large POMDPs. We scale up a wellknown benchmark problem, rocksample, by several orders of magnitude. We also introduce two challenging new POMDPs: 10 × 10 battleship and partially observable PacMan, with approximately 10 18 and 10 56 states respectively. Our MonteCarlo planning algorithm achieved a high level of performance with no prior knowledge, and was also able to exploit simple domain knowledge to achieve better results with less search. POMCP is the first general purpose planner to achieve high performance in such large and unfactored POMDPs. 1
A survey of Monte Carlo tree search methods
 IEEE TRANSACTIONS ON COMPUTATIONAL INTELLIGENCE AND AI
, 2012
"... Monte Carlo Tree Search (MCTS) is a recently proposed search method that combines the precision of tree search with the generality of random sampling. It has received considerable interest due to its spectacular success in the difficult problem of computer Go, but has also proved beneficial in a ra ..."
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Cited by 101 (17 self)
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Monte Carlo Tree Search (MCTS) is a recently proposed search method that combines the precision of tree search with the generality of random sampling. It has received considerable interest due to its spectacular success in the difficult problem of computer Go, but has also proved beneficial in a range of other domains. This paper is a survey of the literature to date, intended to provide a snapshot of the state of the art after the first five years of MCTS research. We outline the core algorithm’s derivation, impart some structure on the many variations and enhancements that have been proposed, and summarise the results from the key game and nongame domains to which MCTS methods have been applied. A number of open research questions indicate that the field is ripe for future work.
Progressive Strategies for MonteCarlo Tree Search
"... Twoperson zerosum games with perfect information have been addressed by many AI researchers with great success for fifty years [van den Herik et ..."
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Cited by 99 (28 self)
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Twoperson zerosum games with perfect information have been addressed by many AI researchers with great success for fifty years [van den Herik et
Modication of UCT with patterns in MonteCarlo go
, 2006
"... appor t de r echerche ..."
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SimulationBased Approach to General Game Playing
 PROCEEDINGS OF THE TWENTYTHIRD AAAI CONFERENCE ON ARTIFICIAL INTELLIGENCE
, 2008
"... The aim of General Game Playing (GGP) is to create intelligent agents that automatically learn how to play many different games at an expert level without any human intervention. The most successful GGP agents in the past have used traditional gametree search combined with an automatically learned ..."
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Cited by 87 (6 self)
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The aim of General Game Playing (GGP) is to create intelligent agents that automatically learn how to play many different games at an expert level without any human intervention. The most successful GGP agents in the past have used traditional gametree search combined with an automatically learned heuristic function for evaluating game states. In this paper we describe a GGP agent that instead uses a Monte Carlo/UCT simulation technique for action selection, an approach recently popularized in computer Go. Our GGP agent has proven its effectiveness by winning last year’s AAAI GGP Competition. Furthermore, we introduce and empirically evaluate a new scheme for automatically learning searchcontrol knowledge for guiding the simulation playouts, showing that it offers significant benefits for a variety of games.
Pure exploration in multiarmed bandits problems
 IN PROCEEDINGS OF THE TWENTIETH INTERNATIONAL CONFERENCE ON ALGORITHMIC LEARNING THEORY (ALT 2009
, 2009
"... We consider the framework of stochastic multiarmed bandit problems and study the possibilities and limitations of strategies that explore sequentially the arms. The strategies are assessed not in terms of their cumulative regrets, as is usually the case, but through quantities referred to as simpl ..."
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Cited by 79 (16 self)
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We consider the framework of stochastic multiarmed bandit problems and study the possibilities and limitations of strategies that explore sequentially the arms. The strategies are assessed not in terms of their cumulative regrets, as is usually the case, but through quantities referred to as simple regrets. The latter are related to the (expected) gains of the decisions that the strategies would recommend for a new oneshot instance of the same multiarmed bandit problem. Here, exploration is only constrained by the number of available rounds (not necessarily known in advance), in contrast to the case when cumulative regrets are considered and when exploitation needs to be performed at the same time. We start by indicating the links between simple and cumulative regrets. A small cumulative regret entails a small simple regret but too small a cumulative regret prevents the simple regret from decreasing exponentially towards zero, its optimal distributiondependent rate. We therefore introduce specific strategies, for which we prove both distributiondependent and distributionfree bounds. A concluding experimental study puts these theoretical bounds in perspective and shows the interest of nonuniform exploration of the arms.
Bandit Algorithm for Tree Search
, 2007
"... apport de recherche ISSN 02496399 ISRN INRIA/RR6141FR+ENG ..."
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Cited by 76 (13 self)
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apport de recherche ISSN 02496399 ISRN INRIA/RR6141FR+ENG
Combining human and machine intelligence in largescale crowdsourcing
 In AAMAS
, 2012
"... We show how machine learning and inference can be harnessed to leverage the complementary strengths of humans and computational agents to solve crowdsourcing tasks. We construct a set of Bayesian predictive models from data and describe how the models operate within an overall crowdsourcing architec ..."
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Cited by 69 (15 self)
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We show how machine learning and inference can be harnessed to leverage the complementary strengths of humans and computational agents to solve crowdsourcing tasks. We construct a set of Bayesian predictive models from data and describe how the models operate within an overall crowdsourcing architecture that combines the efforts of people and machine vision on the task of classifying celestial bodies defined within a citizens ’ science project named Galaxy Zoo. We show how learned probabilistic models can be used to fuse human and machine contributions and to predict the behaviors of workers. We employ multiple inferences in concert to guide decisions on hiring and routing workers to tasks so as to maximize the efficiency of largescale crowdsourcing processes based on expected utility.