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Article overview
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Solomonoff Induction Violates Nicod's Criterion | | Jan Leike
; Marcus Hutter
; | | Date: |
15 Jul 2015 | | Abstract: | Nicod’s criterion states that observing a black raven is evidence for the
hypothesis H that all ravens are black. We show that Solomonoff induction does
not satisfy Nicod’s criterion: there are time steps in which observing black
ravens decreases the belief in H. Moreover, while observing any computable
infinite string compatible with H, the belief in H decreases infinitely often
when using the unnormalized Solomonoff prior, but only finitely often when
using the normalized Solomonoff prior. We argue that the fault is not with
Solomonoff induction; instead we should reject Nicod’s criterion. | | Source: | arXiv, 1507.4121 | | Services: | Forum | Review | PDF | Favorites | |
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