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48 results for bandit strategy

This paper refines the weighted strategy for non-stationary parametric bandits, improving regret bounds.

problem Non-stationary environments with gradual drifting patterns.
method Refined analysis framework for the weighted strategy in linear and generalized linear bandits.
result A simpler weight-based algorithm with improved regret bounds compared to previous studies.

This paper refines the weighted strategy for non-stationary parametric bandits and MDPs, improving regret bounds.

problem Non-stationary environments with gradual drifting patterns.
method Refined analysis framework for the weighted strategy, leading to simpler and more efficient algorithms.
result Improved regret bounds for linear bandits, generalized linear bandits, and self-concordant bandits.

Study explores strategies for randomized allocation in delayed rewards bandits.

problem Understanding the exploration-exploitation tradeoff in randomized strategies with delayed rewards.
method Examines two strategies: updating exploration sequence at every time point vs. updating only when a new reward is observed.
result The strategy updating only when a new reward is observed leads to strong consistency in allocation for a wider scope of situations.

Stochastic multi-armed bandits form a class of online learning problems that have important applications in online recommendation systems, adaptive medical treatment, and many others. Even though potential attacks against these learning algorithms may hijack their behavior, causing catastrophic loss in real-world appli…

2019-05-16abs ↗pdf ↗

The paper explores MAB strategies for very short horizons, introducing new methods and showing improved performance.

problem Short horizon multi-armed bandit problems in games.
method Regression oracles, forced exploration, UCBT strategy.
result Combination of epsilon-greedy or epsilon-decreasing with regression oracles outperforms other strategies.

Improved elimination strategies for adaptive bandit identification reduce sample complexity and computational burden.

problem Inefficient elimination strategies in bandit identification.
method Adaptive elimination methods that update sampling rules frequently and reduce problem size.
result Adaptive elimination methods achieve better sample complexity and computational efficiency.

Optimal strategy found for identifying best arm in bandits with small gap.

problem Best arm identification in two-armed bandits with a fixed budget and small gap.
method Neyman allocation rule augmented with inverse probability weighting.
result Proposed strategy is asymptotically optimal when gap is small.

New strategy achieves optimal regret without communication or collisions in multi-player bandit.

problem Cooperative multi-player stochastic multi-armed bandit with shared randomness.
method Combination of combinatorial approach to generalize geometric intuition.
result Achieves near-optimal regret ildeO(T) ilde{O}(\sqrt{T}) for any number of players and arms without collisions.

A new exploration strategy for contextual bandits reduces regret and is computationally efficient.

problem Improving exploration in contextual bandits to reduce regret.
method Feature perturbation, injecting randomness directly into feature inputs.
result Achieves ildeO(dT) ilde{\mathcal{O}}(d\sqrt{T}) worst-case regret bound, surpassing existing methods.

New strategy optimally identifies best arm in unknown variance Gaussian bandits.

problem Identifying the best arm in two-armed Gaussian bandits with unknown variances.
method Proposes a Neyman Allocation (NA)-Augmented Inverse Probability weighting (AIPW) strategy to estimate variances and draw arms adaptively.
result Demonstrates asymptotic optimality of the proposed strategy in the small-gap regime.

Proposes EE-Net for neural exploration in contextual bandits.

problem Exploitation-Exploration tradeoff in contextual bandits.
method Uses two neural networks: Exploitation and Exploration, to learn reward function and adaptively explore.
result Achieves O(TlogT)\mathcal{O}(\sqrt{T\log T}) regret and outperforms existing methods.

Meta-learning improves performance in stochastic linear bandits.

problem Selecting a learning algorithm that performs well across multiple bandit tasks.
method Regularized OFUL algorithm with a bias vector, estimating bias within the learning-to-learn setting.
result Meta-learning strategies improve performance when the number of tasks grows and task variance is small.

A new strategy for identifying the best arm in Gaussian bandits with improved exploration.

problem Best-arm identification for Gaussian bandits with bounded means and unit variance.
method Exploration-Biased Sampling, a non-asymptotic approach with improved exploration behavior.
result Improved exploration behavior makes the strategy more stable and interpretable.

We describe MELEE, a meta-learning algorithm for learning a good exploration policy in the interactive contextual bandit setting. Here, an algorithm must take actions based on contexts, and learn based only on a reward signal from the action taken, thereby generating an exploration/exploitation trade-off. MELEE address…

2019-01-23abs ↗pdf ↗

Algorithm reduces regret in multi-player bandits with unknown collision rewards.

problem Reducing regret in multi-player multi-armed bandits with unknown collision rewards.
method Proposes an algorithm that combines a modified successive elimination strategy with a communication protocol to estimate suboptimality gaps and coordinate among players.
result Achieves logarithmic regret for the problem when collision reward is unknown.

The paper extends physics-based information maximization to complex bandit problems.

problem Designing efficient decision-making policies for complex bandit problems.
method Information and free-energy maximization principles adapted to three distinct bandit types.
result Information maximization leads to strong performance in complex bandit problems.

New strategy identifies best Markovian arm with fixed confidence.

problem Identifying the best arm in Markovian bandit models with fixed confidence.
method Analyzed the Track-and-Stop strategy and derived a concentration inequality for Markov chains.
result The Track-and-Stop strategy is at most a factor of four apart from the lower bound for asymptotic performance.

Polynomial-time method solves complex combinatorial semi-bandits.

problem Optimal strategies for combinatorial semi-bandits with uncorrelated Gaussian rewards.
method Proposes a polynomial-time method to solve the Graves-Lai optimization problem for various combinatorial structures.
result First known approach to implement asymptotically optimal algorithms in polynomial time for combinatorial semi-bandits.

New algorithms boost SAT solver performance by optimizing restart strategies.

problem Optimizing decision-making under time constraints with restarts.
method Developed online learning algorithms for a bandit problem with controlled restarts.
result Achieved O(log(τ))O(\log(τ)) and O(τlog(τ))O(\sqrt{τ\log(τ)}) regret bounds.

Presents SPEED, an algorithm for optimal policy evaluation in linear bandits with heteroscedastic noise.

problem Optimal data collection for policy evaluation in linear bandits with heteroscedastic reward noise.
method Formulated an optimal design for weighted least squares estimates, derived the optimal sample allocation, introduced SPEED algorithm, and derived regret bounds.
result SPEED leads to policy evaluation with MSE comparable to oracle strategy and significantly lower than random policy execution.

New strategies improve multi-agent decision-making on irregular networks.

problem Maximizing group reward in multi-agent settings with heterogeneous strategies.
method Design and analysis of heterogeneous explore-exploit strategies for multi-star networks.
result Group performance improves under heterogeneous strategies compared to homogeneous strategies.

Study examines impact of missing data on multi-armed bandit algorithms.

problem Impact of missing data on performance of multi-armed bandit algorithms.
method Extensive simulation study of two-armed bandit algorithms with binary outcomes, considering different probabilities of missingness.
result Impact on performance varies depending on the balance between exploration and exploitation.

We propose RandUCB\tt RandUCB, a bandit strategy that builds on theoretically derived confidence intervals similar to upper confidence bound (UCB) algorithms, but akin to Thompson sampling (TS), it uses randomization to trade off exploration and exploitation. In the KK-armed bandit setting, we show that there are infinitel…

2019-10-11abs ↗pdf ↗

Aims to optimize influence spread in social networks using bandit algorithms.

problem Maximizing influence spread in unknown social networks.
method Combines Thompson Sampling and Epsilon Greedy algorithms with automatic ensemble learning.
result Demonstrates effectiveness of automatic ensemble learning for combinatorial bandit problems.

We introduce a novel algorithmic approach to content recommendation based on adaptive clustering of exploration-exploitation ("bandit") strategies. We provide a sharp regret analysis of this algorithm in a standard stochastic noise setting, demonstrate its scalability properties, and prove its effectiveness on a number…

2014-01-31abs ↗pdf ↗

Optimal strategy proposed for maximizing cumulative reward in continuum-armed bandits.

problem Maximizing cumulative reward in a scenario with limited resources and unknown stochastic rewards.
method Proposed an optimal strategy for a nonparametric setting with side information on actions.
result Optimal regret scales as \(O(T^{1/3})\) up to poly-logarithmic factors when \(T\) is proportional to \(N\).

Multi-armed bandit problems are receiving a great deal of attention because they adequately formalize the exploration-exploitation trade-offs arising in several industrially relevant applications, such as online advertisement and, more generally, recommendation systems. In many cases, however, these applications have a…

2013-06-04abs ↗pdf ↗

The paper tackles pure exploration in multi-armed bandits with low rank structure using oblivious sampling.

problem Pure exploration in multi-armed bandits with low rank reward sequences.
method The approach involves separating the exploration strategy from feedback, using oblivious sampling, and incorporating kernel information of reward vectors.
result Efficient algorithms with regret bound O(d(lnN)/n)O(d\sqrt{(\ln N)/n}) for both time-varying and fixed cases, with a lower bound gap of O(lnN)O(\sqrt{\ln N}).

Regularization-induced exploration improves contextual bandit performance.

problem Complex reward models in real-world contextual bandits are hard to explore effectively.
method Regularization-induced exploration using stochasticity in cross-validation.
result Regularization-induced exploration leads to reliable exploration in large-scale business environments.

Study analyzes symmetric two-armed Bernoulli bandit problem with zero mean gap.

problem Analyzing symmetric two-armed Bernoulli bandit problem with zero mean gap.
method Associated with a solution of a linear heat equation, compute leading order terms of minmax optimal regret and pseudoregret.
result Explicitly compute leading order terms in three scaling regimes for the gap.

In a linear stochastic bandit model, each arm is a vector in an Euclidean space and the observed return at each time step is an unknown linear function of the chosen arm at that time step. In this paper, we investigate the problem of learning the best arm in a linear stochastic bandit model, where each arm's expected r…

2019-06-26abs ↗pdf ↗

HAMLET optimizes algorithm selection for machine learning tasks.

problem Limited time budgets and computational resources make traditional bandit approaches ineffective for automated algorithm selection.
method HAMLET incorporates learning curve extrapolation and time-awareness to select machine learning algorithms.
result HAMLET variants outperform other bandit-based strategies in experiments with recorded hyperparameter tuning traces.