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arXiv 2102.00451cs.LGcs.ITmath.ITmath.STstat.TH
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Exponential Savings in Agnostic Active Learning through Abstention

HSE University(高等经济大学);Institute for Information Transmission Problems RAS(俄罗斯科学院信息传输问题研究所);ETH(苏黎世联邦理工学院)

Nikita Puchkin, Nikita Zhivotovskiy

英文摘要:

We show that in pool-based active classification without assumptions on the underlying distribution, if the learner is given the power to abstain from some predictions by paying the price marginally smaller than the average loss $1/2$ of a random guess, exponential savings in the number of label requests are possible whenever they are possible in the corresponding realizable problem. We extend this result to provide a necessary and sufficient condition for exponential savings in pool-based active classification under the model misspecification.

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