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arXiv 1503.01910cs.LGcs.AI
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基于二进制反馈的序列相关最大化算法

Sequential Relevance Maximization with Binary Feedback

UC Berkeley(加州大学伯克利分校);Technicolor(特艺集团)

Vijay Kamble, Nadia Fawaz, Fernando Silveira

摘要:

在线设置,用户可以提供明确的反馈,依次向他们介绍的产品的相关性,我们期待在推荐过程中动态优化这个相关反馈的问题。这种算法优化了呈现最可能相关的产品与学习用户偏好之间的精细权衡,以便将来可以做出更相关的推荐。我们假设一个标准的预测模型的灵感来自于协同过滤,其中用户是从一组可能的类型的分布中采样的。对于每个产品类别,每个类型都有一个相关联的相关反馈,该反馈被假设为二进制的:类别是相关的或不相关的。假设用户以独立于过去的概率$β$为每个额外的推荐机会停留,问题是找到最大化被认为在会话中相关的推荐的期望数量的策略。我们分析了这个问题,并证明了最优策略的关键结构特性。基于这些属性,我们首先提出了一个算法,在递归和动态规划之间取得平衡来计算这个策略。我们进一步提出并分析了两个启发式的政策:一个“有远见的”贪婪的政策,达到至少$1-β$因素的最佳回报,和一个天真的贪婪的政策,达到至少$\frac{1-β}{1+β}$因素的最佳回报在最坏的情况下。大量的模拟表明,这些算法在实践中非常接近最优。

英文摘要:

Motivated by online settings where users can provide explicit feedback about the relevance of products that are sequentially presented to them, we look at the recommendation process as a problem of dynamically optimizing this relevance feedback. Such an algorithm optimizes the fine tradeoff between presenting the products that are most likely to be relevant, and learning the preferences of the user so that more relevant recommendations can be made in the future. We assume a standard predictive model inspired by collaborative filtering, in which a user is sampled from a distribution over a set of possible types. For every product category, each type has an associated relevance feedback that is assumed to be binary: the category is either relevant or irrelevant. Assuming that the user stays for each additional recommendation opportunity with probability $β$ independent of the past, the problem is to find a policy that maximizes the expected number of recommendations that are deemed relevant in a session. We analyze this problem and prove key structural properties of the optimal policy. Based on these properties, we first present an algorithm that strikes a balance between recursion and dynamic programming to compute this policy. We further propose and analyze two heuristic policies: a `farsighted' greedy policy that attains at least $1-β$ factor of the optimal payoff, and a naive greedy policy that attains at least $\frac{1-β}{1+β}$ factor of the optimal payoff in the worst case. Extensive simulations show that these heuristics are very close to optimal in practice.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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