Foundations of Induction - of Marcus Hutter

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Marcus Hutter - 42 - Foundations of InductionSummary• Conceptually and mathematically the problem of induction is solved.• Computational problems and some philosophical questions remain.• Ingredients for induction and prediction:Ockham, Epicurus, Turing, Bayes, Kolmogorov, Solomonoff• For decisions and actions: Include Bellman.• Mathematical results: consistency, bounds, optimality, many others.• Most Philosophical riddles around induction solved.• Experimental results via practical compressors.Induction ≈ Science ≈ Machine Learning ≈Ockham’s razor ≈ Compression ≈ Intelligence.
Marcus Hutter - 43 - Foundations of InductionAdviceto philosophers and scientists interested in the foundations of induction• Accept Universal Induction (UI) as the best conceptual solution ofthe induction problem so far.• Stand on the shoulders of giants like Bayes, Shannon, Turing,Kolmogorov, Solomonoff, Wallace, Rissanen, Bellman.• Work out defects / what is missing, and try to improve UI, or• Work on alternatives but then benchmark your approach againststate of the art UI.• Cranks who have not understood the giants and try to reinvent thewheel from scratch can safely be ignored.Never trust a theory === if it is not supported by an experiment =====experimenttheory
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Foundations of Induction - of Marcus Hutter

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