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Challenging Probability Problems

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Preview of The Halting Problem's Decidability on a Set of Asymptotic Probability One
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The Halting Problem's Decidability on a Set of Asymptotic Probability One (1168352664.pdf)

167 KBEN 10 pages
In this 2006 issue of *Notre Dame Journal of Formal Logic*, Hamkins and Miasnikov prove that the halting problem for Turing machines is decidable with high probability, challenging traditional views of undecidability and highlighting the role of measure in computational models
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Preview of Optimizing Functionals on the Space of Probabilities with Input Convex Neural Networks
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Optimizing Functionals on the Space of Probabilities with Input Convex Neural Networks (2106.00774.pdf)

5.64 MBEN 32 pages
Gradient flows are used to optimize functionals in probability spaces with the Wasserstein metric
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