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- Mohammad Gheshlaghi Azar, Hilbert J. Kappen
- Journal of Machine Learning Research
- 2012

In this paper, we propose a novel policy iteration method, called dynamic policy programming (DPP), to estimate the optimal policy in the infinite-horizon Markov decision processes. We prove the finite-iteration and asymptotic l∞-norm performance-loss bounds for DPP in the presence of approximation/estimation error. The bounds are expressed in terms of the… (More)

- Mohammad Gheshlaghi Azar, Vicenç Gómez, Hilbert J. Kappen
- AISTATS
- 2011

In this paper, we consider the problem of planning in the infinite-horizon discountedreward Markov decision problems. We propose a novel iterative method, called dynamic policy programming (DPP), which updates the parametrized policy by a Bellmanlike iteration. For discrete state-action case, we establish L∞-norm loss bounds for the performance of the… (More)

In this paper we consider the problem of online stochastic optimization of a locally smooth function under bandit feedback. We introduce the high-confidence tree (HCT) algorithm, a novel any-time X -armed bandit algorithm, and derive regret bounds matching the performance of existing state-of-the-art in terms of dependency on number of steps and smoothness… (More)

We consider the problem of learning the optimal action-value function in the discountedreward Markov decision processes (MDPs). We prove a new PAC bound on the samplecomplexity of model-based value iteration algorithm in the presence of the generative model, which indicates that for an MDP with N state-action pairs and the discount factor γ ∈ [0, 1) only O… (More)

Learning from prior tasks and transferring that experience to improve future performance is critical for building lifelong learning agents. Although results in supervised and reinforcement learning show that transfer may significantly improve the learning performance, most of the literature on transfer is focused on batch learning tasks. In this paper we… (More)

- Mohammad Gheshlaghi Azar, Alessandro Lazaric, Emma Brunskill
- ECML/PKDD
- 2013

In some reinforcement learning problems an agent may be provided with a set of input policies, perhaps learned from prior experience or provided by advisors. We present a reinforcement learning with policy advice (RLPA) algorithm which leverages this input set and learns to use the best policy in the set for the reinforcement learning task at hand. We prove… (More)

- Mohammad Gheshlaghi Azar, Rémi Munos, Hilbert J. Kappen
- Machine Learning
- 2013

We consider the problems of learning the optimal action-value function and the optimal policy in discounted-reward Markov decision processes (MDPs). We prove new PAC bounds on the sample-complexity of two well-known model-based reinforcement learning (RL) algorithms in the presence of a generative model of the MDP: value iteration and policy iteration. The… (More)

- Mohammad Gheshlaghi Azar, Ian Osband, Rémi Munos
- ICML
- 2017

We consider the problem of provably optimal exploration in reinforcement learning for finite horizon MDPs. We show that an optimistic modification to value iteration achieves a regret bound of Õ( √ HSAT+HSA+H √ T ) where H is the time horizon, S the number of states, A the number of actions and T the number of timesteps. This result improves over the best… (More)

We introduce a new convergent variant of Q-learning, called speedy Q-learning, in order to address the problem of slow convergence in the standard form of the Q-learning algorithm. We prove a PAC bound on the performance of SQL, which shows that only T = O ( log(1/δ)ǫ(1 − γ) ) steps are required for the SQL algorithm to converge to an ǫ-optimal action-value… (More)

In this work we present a new reinforcement learning agent, called Reactor (for Retraceactor), based on an off-policy multi-step return actor-critic architecture. The agent uses a deep recurrent neural network for function approximation. The network outputs a target policy π (the actor), an action-value Q-function (the critic) evaluating the current policy… (More)