Anomalous Vacillatory Learning
Logic
2013-02-12 v2 Machine Learning
Logic in Computer Science
Abstract
In 1986, Osherson, Stob and Weinstein asked whether two variants of anomalous vacillatory learning, TxtFex^*_* and TxtFext^*_*, could be distinguished. In both, a machine is permitted to vacillate between a finite number of hypotheses and to make a finite number of errors. TxtFext^*_*-learning requires that hypotheses output infinitely often must describe the same finite variant of the correct set, while TxtFex^*_*-learning permits the learner to vacillate between finitely many different finite variants of the correct set. In this paper we show that TxtFex^*_* \neq TxtFext^*_*, thereby answering the question posed by Osherson, \textit{et al}. We prove this in a strong way by exhibiting a family in TxtFex^*_2 \setminus {TxtFext}^*_*.
Cite
@article{arxiv.1210.2051,
title = {Anomalous Vacillatory Learning},
author = {Achilles Beros},
journal= {arXiv preprint arXiv:1210.2051},
year = {2013}
}
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6 Pages