2 problems

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Structural monotonicity as the soundness criterion for universally minimal options
Structural monotonicity conjecture. Condition (M2) is necessary and sufficient for $\mathit{min}_\mathit{u}$ to fulfill the soundness specification.
Conjectureopenformal-specifications optimization-under-uncertainty order-theoryarXiv posted 2 days ago
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The bounded-buffer-parameter conjecture for PDE-constrained optimization under uncertainty
Exactness conjecture. Under additional assumptions, exactness should be possible, so that the parameters $\theta^\nu$ can remain bounded.
Conjectureopenoptimization-under-uncertainty pde-constrained-optimization penalty-methodsarXiv posted 2 days ago

Structural monotonicity as the soundness criterion for universally minimal options