多用户实时推荐中,用新模型提升点击率与效率。
Multi-User Contextual Cascading Bandits for Personalized Recommendation
- 基于序列曝光反馈与并行上下文,建模多用户同时交互
- 提出两种算法,理论证明其后悔上界分别达√(THN)与√(T+HN)
- 适合大规模个性化推荐系统,尤其高并发场景
我们提出多用户上下文级联强化学习(Multi-User Contextual Cascading Bandit, MCCB)模型,一种新的组合强化学习框架,用于刻画多个用户同时与顺序展示项目互动的在线广告场景。该框架整合三个核心结构:(i) 基于序列动作暴露的级联反馈机制;(ii) 支持选择性探索的并行上下文会话;(iii) 不同动作级别的异质奖励。首先提出上置信界带逆向规划(UCBBP)算法,适用于此设定,并证明其在T个回合、每回合H步会话、每回合N个上下文条件下,达到$ ilde{O}(igsqrt{THN})$的后悔上界。考虑到大量用户同时使用系统,进一步提出主动式上置信界带逆向规划(AUCBBP)算法,在上下文扩展(即用户扩展)方面实现严格效率提升,其后悔上界为$ ilde{O}(igsqrt{T+HN})$。通过数值实验验证了理论结果,表明两种算法在多种设置下均具有效果。
原文摘要 · Abstract (English)
We introduce a Multi-User Contextual Cascading Bandit model, a new combinatorial bandit framework that captures realistic online advertising scenarios where multiple users interact with sequentially displayed items simultaneously. Unlike classical contextual bandits, MCCB integrates three key structural elements: (i) cascading feedback based on sequential arm exposure, (ii) parallel context sessions enabling selective exploration, and (iii) heterogeneous arm-level rewards. We first propose Upper Confidence Bound with Backward Planning (UCBBP), a UCB-style algorithm tailored to this setting, and prove that it achieves a regret bound of $\widetilde{O}(\sqrt{THN})$ over $T$ episodes, $H$ session steps, and $N$ contexts per episode. Motivated by the fact that many users interact with the system simultaneously, we introduce a second algorithm, termed Active Upper Confidence Bound with Backward Planning (AUCBBP), which shows a strict efficiency improvement in context scaling, i.e., user scaling, with a regret bound of $\widetilde{O}(\sqrt{T+HN})$. We validate our theoretical findings via numerical experiments, demonstrating the empirical effectiveness of both algorithms under various settings.
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