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Active-Learning a Convex Body in Low Dimensions
Algorithmica ( IF 1.1 ) Pub Date : 2021-03-01 , DOI: 10.1007/s00453-021-00807-w
Sariel Har-Peled , Mitchell Jones , Saladi Rahul

Consider a set \(P\subseteq \mathbb {R}^d\) of n points, and a convex body \(C\) provided via a separation oracle. The task at hand is to decide for each point of \(P\) if it is in \(C\) using the fewest number of oracle queries. We show that one can solve this problem in two and three dimensions using



中文翻译:

主动学习小尺寸的凸体

考虑一组\(P \ subseteq \ mathbb {R} ^ d \)Ñ点,和一个凸体\(C \)经由分离Oracle提供。当前的任务是使用最少数量的oracle查询来确定\(P \)的每个点是否在\(C \)中。我们证明了使用以下方法可以在二维和三维上解决此问题

更新日期:2021-03-01
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