Abstract

This manuscript offers an exhaustive comparative study of key Multi-Armed Bandits (MAB) algorithms, exploring their challenges, potential resolutions, and varied applications in today's context. It concentrates on at least three principal algorithms: the Upper Confidence Bound (UCB), Thompson Sampling, and ε-greedy. The analysis critically assesses their performance, focusing on convergence rate, precision, and computational demands. Key challenges in non-static environments and large-scale deployments are identified, including the complexities of multi-objective optimization. The paper proposes innovative solutions such as adaptive algorithmic approaches and the integration of parallel computing frameworks to address these challenges. It further delves into a range of application domains, from online advertising and recommendation systems to clinical trial methodologies, drawing comparisons between traditional and novel applications. The discussion also encompasses critical issues like data scarcity, cold start problems, ethical considerations in algorithm design, and the intricacies of processing real-time data. In its concluding sections, the study sheds light on recent successful deployments of MAB algorithms, identifying core factors contributing to their effectiveness and forecasting future developmental trajectories. This comprehensive analysis provides a detailed overview of the MAB field, highlighting its significance and practical impact in various sectors.

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