6 problems
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Non-constructibility conjecture for delta functions in the approximation framework
Non-constructibility conjecture. The delta functions cannot be constructed.
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Conjecture on the average case complexity of function approximation in the standard information setting
Average-case complexity conjecture. The average case complexity of in is of the same order as the average case complexity of in .
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Conjecture on the usefulness of ellipticity-induced Hilbert space structure
The paper studies model-free off-policy reinforcement learning in continuous time with general function approximation. Its analysis uses an ellipticity condition, which induces a H…
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The commutator function-approximation conjecture for operator monotone functions
Let denote the class of commutator-Lipschitz functions for the chosen unitarily invariant norm,…
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The function-approximation conjecture for operator monotone functions
Let be the space of Fourier transforms of finite positive Borel measures on , and define … Let be a non-negative function that is operator m…
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Conjecture on the sharp scaling for trigonometric polynomial recovery
Let denote the maximum gap between the scattered data points in , and let be the truncation parameter in the weighted minimization method describ…