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A Dilemma for Solomonoff Prediction

Year: 2022
Type: article
Abstract: The framework of Solomonoff prediction assigns prior probability to hypotheses inversely proportional to their Kolmogorov complexity. There are two well-known problems. First, the Solomonoff prior is relative to a choice of universal Turing machine. Second, the Solomonoff prior is not computable. However, there are responses to both problems. Different Solomonoff priors converge with more and more data. Further, there are computable approximations to the Solomonoff prior. I argue that there is a tension between these two responses. This is because computable approximations to Solomonoff prediction do not always converge.
Author: Sven Neth
Language: English
Open Access status: hybrid
Estimated APC paid: $3,255
OpenAlex ID: W4282570476
FWCI: 0.755
Cites: 39
Cited by: 7
Related to: 10