2 problems

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Chewi–Stromme conjecture on low-temperature log-Sobolev asymptotics
Chewi–Stromme conjecture.
Conjectureopenlog-sobolev-inequalities low-temperature-asymptotics polyak-lojasiewicz-inequalityarXiv posted 2 days ago
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Conjecture on the tightest gradient-method convergence bound under the PL inequality
Tightest-bound conjecture. The following infinite-dimensional optimization problem may provide the tightest bound for the gradient method:
Conjectureopengradient-methods optimization polyak-lojasiewicz-inequalityarXiv posted 2 days ago