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Conjecture on failure of empirical Bayes adaptation for linear functionals
Empirical Bayes sub-optimality conjecture. For every $\beta>-q$ , there exists a $ctheta_0\in S^\beta$ such that, along a subsequence $n_j$ ,
Conjectureopenbayesian-inference inverse-problems linear-functionalsarXiv posted 3 days ago
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Conjecture on sub-optimality of adaptive Bayes procedures for unbounded linear functionals
Sub-optimality conjecture. The procedures proved adaptive and rate-optimal for global $cell_2$ -loss will be sub-optimal for estimating certain unbounded linear functionals.
Conjectureopenbayesian-inference inverse-problems linear-functionalsarXiv posted 3 days ago

Conjecture on failure of empirical Bayes adaptation for linear functionals