4 problems
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Conjecture on higher-order moment estimation with unknown standardized noise
Consider the heteroscedastic nonparametric regression model … where , is bounded almost surely, and satisfies…
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The Fourier–Hahn–Lévy conjecture for tractable integer-valued moments
Fourier–Hahn–Lévy conjecture. If is tractable, then the -moment can be estimated to within a constant factor with a Lévy-Tower, either directly or af…
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The Lévy–Khintchine representation conjecture for tractable functions
For a function , its -moment is the quantity … A function is tractable if its moment can be estimated to within a constant factor using a small sketch. Lévy–Khintchine repres…
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The Fourier–Hahn–Lévy characterization conjecture for tractable functions
For a function on the frequency domain, an -moment is the quantity … A function is tractable if its moment can be estimated to within a constant factor using…