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2018 | OriginalPaper | Buchkapitel

Observation of Unbounded Novelty in Evolutionary Algorithms is Unknowable

verfasst von : Eric Holloway, Robert Marks

Erschienen in: Artificial Intelligence and Soft Computing

Verlag: Springer International Publishing

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Abstract

Open ended evolution seeks computational structures whereby creation of unbounded diversity and novelty are possible. However, research has run into a problem known as the “novelty plateau” where further creation of novelty is not observed. Using standard algorithmic information theory and Chaitin’s Incompleteness Theorem, we prove no algorithm can detect unlimited novelty. Therefore observation of unbounded novelty in computer evolutionary programs is nonalgorithmic and, in this sense, unknowable.

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Fußnoten
1
Some authors use the notation “\(\overset{+}{=}\)” in lieu of “\(\underset{c}{=} \)” [31, 34].
 
2
Even though i is not prefix free (i.e. it will halt once \(b^*\) is executed, leaving \(a^*_{b^*}\) unread), the program that is run on the Turing machine \(\mathcal {U}\) is still prefix free because i is appended to \(p_c\), so the full execution on \(\mathcal {U}\) is \(\mathcal {U}(p_ci)\). Since \(p_c\) is prefix free, then so is \(p_ci\), as it will only halt once the entire string is read.
 
3
While Kolmogorov complexity is an exact metric, and has to account for both meaningful structure and random noise in the population, the Kolmogorov sufficient statistic can be used to measure just the meaningful structure in the population.
 
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Metadaten
Titel
Observation of Unbounded Novelty in Evolutionary Algorithms is Unknowable
verfasst von
Eric Holloway
Robert Marks
Copyright-Jahr
2018
DOI
https://doi.org/10.1007/978-3-319-91253-0_37