Abstract:In a variety of reasoning tasks, one estimates the likelihood of
events by means of volumes of sets they define. Such sets need to be
measurable, which is usually achieved by putting bounds, sometimes ad
hoc, on them. We address the question how unbounded or unmeasurable
sets can be measured nonetheless. Intuitively, we want to know
how likely a randomly chosen point is to be in a given set, even in the
absence of a uniform distribution over the entire space.
To address this, we follow a recently proposed a… Show more
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