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Old 12-19-2012, 06:47 AM
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htlin htlin is offline
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Default Re: Deterministic Noise & Gibb's Phenomenon/Godunov's Theorem

I am not familiar with the Gibb's Phenomenon enough to give precise comments. From my reading of the phenomenon on wikipedia, there are indeed similarities

(0) deterministic noise: For a fixed target function, if the target function is outside of the hypothesis sets, the deterministic noise decreases with higher-order polynomials, but does not diminish.

(1) Gibb's: for a fixed (discontinuous) function, the level of overshooting decreases with higher-order Fourier series, but does not diminish.

Just my two cents.
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