2 problems
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The minimax-rate conjecture for monotone functions with bounded influence
Let denote the class of monotone functions considered in the paper, with influence budget and range or norm bound . Under the paper's noisy-observation m…
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Laurent's sum-of-squares degree conjecture for nonnegative quadratic functions on the hypercube
Let be a nonnegative quadratic function on the hypercube , meaning that its Fourier expansion … has whenever . Laurent's conjecture. The…