2 problems

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Dashti–Stuart conjecture on MAP estimators for Banach-space Gaussian inverse problems
Dashti–Stuart conjecture. Assume that the conditions in Assumption $4$ hold. Then:
Conjectureopenbayesian-inverse-problems gaussian-measures map-estimationarXiv posted 2 days ago
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Generic decoupling conjecture for MAP estimators
Consider a large-system MAP estimation problem whose analysis uses the replica method and satisfies the replica continuity assumption. Generic MAP-decoupling conjecture. Decoupling…
Conjectureopendecoupling-principle map-estimation replica-methodarXiv posted 2 days ago

Dashti–Stuart conjecture on MAP estimators for Banach-space Gaussian inverse problems