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Z l v W v v P Z µ Ç µ Á Z } } v µ u o l U o o U Z l v v o o À X í ï X ñ ì U ^ Z u í ó X ì ì. Lemma 23 (Nonnegative rank to Approximate Conical Juntas) There exists a constant 1 > 1 such that the following holds For b > 1 logn, every function f f1;1gn!R >0 with Ef = 1 is a (2b=2;2bd= 1)approximate conical djunta for all d > 1(logrank (Mb f))=b We defer the sketch of the proof of the lemma to the next section and continue with our outline. N so x can be written as x n i 1 β i u i so x k A k x n X i 1 β i A k u i n X i from EE 227A at University of California, Berkeley This preview shows page 3 6 out of 11 pagespreview shows page 3 6 out of 11 pages.

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