All Sampling Methods Produce Outliers
نویسندگان
چکیده
Given a computable probability measure $P$ over natural numbers or infinite binary sequences, there is no computable, randomized method that can produce an arbitrarily large sample such none of its members are outliers . In addition, given predicate notation="LaTeX">$\gamma $ , the length smallest program computes complete extension less than size domain plus amount information has with halting sequence.
منابع مشابه
All Sampling Methods Produce Outliers
Given a computable probability measure P over natural numbers or infinite binary sequences, there is no method that can produce an arbitrarily large sample such that all its members are typical of P . This paper also contains upper bounds on the minimal encoding length of a predicate (over the set of natural numbers) consistent with another predicate over a finite domain.
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ژورنال
عنوان ژورنال: IEEE Transactions on Information Theory
سال: 2021
ISSN: ['0018-9448', '1557-9654']
DOI: https://doi.org/10.1109/tit.2021.3109779