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arXiv 1910.06002stat.MLcs.LG
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从带噪声二值反馈中实现最优聚类

Optimal Clustering from Noisy Binary Feedback

School of Electrical Engineering and Computer Science, KTH(KTH皇家理工学院电气工程与计算机科学学院);CyberAgent(CyberAgent公司);Department of Computer Science and Engineering, POSTECH(浦项科技大学计算机科学与工程系);Graduate School of AI, KAIST(韩国科学技术院人工智能研究生院)

Kaito Ariu, Jungseul Ok, Alexandre Proutiere, Se-Young Yun

AI总结:

研究从带噪声二值用户反馈中聚类物品的问题,提出基于K-means的均匀选择算法和受信息论下界启发的自适应算法,后者通过更频繁选择难聚类物品和相关问题高效分配预算,显著降低簇恢复错误率。

摘要:

我们研究从二值用户反馈中对一组物品进行聚类的问题。此类问题常见于众包平台,这些平台以极少的用户负担解决大规模标注任务。例如,在近期的一些 reCAPTCHA 系统中,用户的点击(二值答案)可用于高效地标注图像。在我们的推断问题中,物品被划分为初始未知的、不重叠的簇。为了恢复这些簇,学习器按顺序向用户展示一个有限的物品列表,以及一个从固定的有限集合中选出的带有二值答案的问题。对于这些物品中的每一个,用户会提供一个带噪声的答案,其期望由物品所属的簇和问题,以及一个表征分类该物品“难度”的特定物品参数共同决定。我们的目标是设计一种具有最小簇恢复错误率的算法。我们针对均匀选择和自适应(列表,问题)选择策略,推导出了任何算法都需满足的、特定于问题的信息论错误率下界。对于均匀选择,我们提出了一种基于 K-means 算法的简单算法,其性能几乎与基本极限相匹配。对于自适应选择,我们开发了一种受信息论错误下界推导启发的自适应算法,进而能以高效的方式分配预算。该算法学习更频繁地选择难以聚类的物品和相关的提问。我们在数值上比较了采用与不采用自适应选择策略的算法性能,并展示了自适应策略带来的增益。

英文摘要:

We study the problem of clustering a set of items from binary user feedback. Such a problem arises in crowdsourcing platforms solving large-scale labeling tasks with minimal effort put on the users. For example, in some of the recent reCAPTCHA systems, users clicks (binary answers) can be used to efficiently label images. In our inference problem, items are grouped into initially unknown non-overlapping clusters. To recover these clusters, the learner sequentially presents to users a finite list of items together with a question with a binary answer selected from a fixed finite set. For each of these items, the user provides a noisy answer whose expectation is determined by the item cluster and the question and by an item-specific parameter characterizing the {\it hardness} of classifying the item. The objective is to devise an algorithm with a minimal cluster recovery error rate. We derive problem-specific information-theoretical lower bounds on the error rate satisfied by any algorithm, for both uniform and adaptive (list, question) selection strategies. For uniform selection, we present a simple algorithm built upon the K-means algorithm and whose performance almost matches the fundamental limits. For adaptive selection, we develop an adaptive algorithm that is inspired by the derivation of the information-theoretical error lower bounds, and in turn allocates the budget in an efficient way. The algorithm learns to select items hard to cluster and relevant questions more often. We compare the performance of our algorithms with or without the adaptive selection strategy numerically and illustrate the gain achieved by being adaptive.

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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