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Foundations of Induction - of Marcus Hutter

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<strong>Marcus</strong> <strong>Hutter</strong> - 42 - <strong>Foundations</strong> <strong>of</strong> <strong>Induction</strong>Summary• Conceptually and mathematically the problem <strong>of</strong> induction is solved.• Computational problems and some philosophical questions remain.• Ingredients for induction and prediction:Ockham, Epicurus, Turing, Bayes, Kolmogorov, Solomon<strong>of</strong>f• For decisions and actions: Include Bellman.• Mathematical results: consistency, bounds, optimality, many others.• Most Philosophical riddles around induction solved.• Experimental results via practical compressors.<strong>Induction</strong> ≈ Science ≈ Machine Learning ≈Ockham’s razor ≈ Compression ≈ Intelligence.

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