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Chinese Academy of Sciences, University of Chinese Academy of Sciences
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Ground-state preparation query complexity is now strictly settled, proving that the overhead of poor initial overlap $\gamma^{-1}$ and target precision $\log(1/\varepsilon)$ can be decoupled additively rather than multiplicatively in expectation.
The minimax risk in deep Gaussian regression exhibits a surprising quadratic dependence on depth, challenging conventional assumptions about model capacity.