Lazy Gradient Descent outperforms existing polytope algorithms in pseudo-regret.
arXiv research
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The paper analyzes the sliding regret of stochastic bandit algorithms.
New attack manipulates UCB algorithm, new defense algorithm reduces pseudo-regret.
Characterizes UCB algorithm performance in bandit problems.
Improved model-free RL algorithm with reduced sample complexity.
Logarithmic regret strategies for safe multi-armed bandits with safety risk constraints.
We show that the Subgradient algorithm is universal for online learning on the simplex in the sense that it simultaneously achieves regret for adversarial costs and pseudo-regret for i.i.d costs. To the best of our knowledge this is the first demonstration of a universal algorithm on the simplex tha…
Dynamic pricing learns demand model from sparse product networks.
We consider the problem of influence maximization in fixed networks for contagion models in an adversarial setting. The goal is to select an optimal set of nodes to seed the influence process, such that the number of influenced nodes at the conclusion of the campaign is as large as possible. We formulate the problem as…
We study adaptive importance sampling (AIS) as an online learning problem and argue for the importance of the trade-off between exploration and exploitation in this adaptation. Borrowing ideas from the bandits literature, we propose Daisee, a partition-based AIS algorithm. We further introduce a notion of regret for AI…
The purpose of this paper is to provide further understanding into the structure of the sequential allocation ("stochastic multi-armed bandit", or MAB) problem by establishing probability one finite horizon bounds and convergence rates for the sample (or "pseudo") regret associated with two simple classes of allocation…
A fair policy for hiring candidates from different groups is proposed in a linear contextual bandit problem.
We study the stochastic multi-armed bandit problem in the case when the arm samples are dependent over time and generated from so-called weak $\cC$-mixing processes. We establish a $\cC-$Mix Improved UCB agorithm and provide both problem-dependent and independent regret analysis in two different scenarios. In the first…
Paper proposes DG-ETC for online submodular maximization with stochastic bandit feedback.
We study, to the best of our knowledge, the first Bayesian algorithm for unimodal Multi-Armed Bandit (MAB) problems with graph structure. In this setting, each arm corresponds to a node of a graph and each edge provides a relationship, unknown to the learner, between two nodes in terms of expected reward. Furthermore, …
New Thompson sampling algorithm for stochastic partial monitoring achieves logarithmic regret.
The stochastic linear bandit problem proceeds in rounds where at each round the algorithm selects a vector from a decision set after which it receives a noisy linear loss parameterized by an unknown vector. The goal in such a problem is to minimize the (pseudo) regret which is the difference between the total expected …
Narendra-Shapiro (NS) algorithms are bandit-type algorithms that have been introduced in the sixties (with a view to applications in Psychology or learning automata), whose convergence has been intensively studied in the stochastic algorithm literature. In this paper, we adress the following question: are the Narendra-…
Study non-oblivious adversarial bandits with delayed feedback and propose algorithms with improved regret bounds.
We derive an algorithm that achieves the optimal (within constants) pseudo-regret in both adversarial and stochastic multi-armed bandits without prior knowledge of the regime and time horizon. The algorithm is based on online mirror descent (OMD) with Tsallis entropy regularization with power and reduced-varian…
We derive an online learning algorithm with improved regret guarantees for `easy' loss sequences. We consider two types of `easiness': (a) stochastic loss sequences and (b) adversarial loss sequences with small effective range of the losses. While a number of algorithms have been proposed for exploiting small effective…
New algorithm robust to probabilistic unbounded adversarial attacks in bandit problems.