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The good news is we can regularize it as ω k + 1 ( i ) = 1 | u k ( i ) | + ϵ, where ϵ > 0 is a small number [28].
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When we regularize it, we see the sequences generated by (3.6), which use RGPA.
Then we regularize it to find a unique solution by gradient-projection algorithm.
In other words, we keep a large margin between different labeled samples, and in the meanwhile, we use the unlabeled samples to regularize it.
The Corps looked upon this accomplishment with understandable pride and, without intended diminution of respect for its enemy, issued a statement of victory: "We harnessed it, straightened it, regularized it, shackled it".
As a result, the overcomplete representation in Equation 14 allows us to exchange the estimation of α for the problem of sparse spectrum of each column in (boldsymbol {tilde X}), which can be solved via regularizing it to favor sparse signal fields using the l 1 methodology.
I told him that in recognition of this act of heroism he would be regularized as soon as possible and that the Paris fire brigade was ready to welcome him".
The legal system was overhauled and regularized as well, and already in 1661 a supreme court, with jurisdiction over the entire kingdom, had replaced the old system whereby the king and the Rigsråd heard legal appeals.
With Mr. Wang's encouragement, Mr. Du is trying to "regularize" his business, as he put it.
His concern for style, advanced by his Ausführliche Redekunst (1736; "Complete Rhetoric") and Grundlegung einer deutschen Sprachkunst (1748; "Foundation of a German Literary Language"), helped to regularize German as a literary language.
The underlying reality they describe is just not as regularized as the underlying reality of, say, a solar system.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com