6 research outputs found

    Procedure Used to Obtain Overrepresented Oligomers Starting from the Overrepresented 12-Mers

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    <p>The overrepresented 12-mers were defined with the initial criteria: at least ten occurrences and at least 5-fold enrichment. See <a href="http://www.plosgenetics.org/article/info:doi/10.1371/journal.pgen.0020151#s2" target="_blank">Results</a> and Methods for a detailed description.</p

    The Distributions over the Length of L1 Element of Overrepresented Oligomers Found in <i>I</i> Subgenome (Yellow Bars) and of All L1 Sequences within Xp22 (Red Bars)

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    <div><p>Only overrepresented oligomers mapping frequently to L1s (>50% of their genomic occurrences in the <i>I</i> subgenome) are shown. Although the full-length L1 is approximately 7 kb long, the alignment of L1 subfamilies was approximately 9 kb long.</p><p>ORF, open reading frame.</p></div

    The Distribution of Correctly and Incorrectly Classified Genes along the X Chromosome

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    <p>Dark green indicates correctly classified genes; light green indicates misclassified genes. X inactivation expression patterns [<a href="http://www.plosgenetics.org/article/info:doi/10.1371/journal.pgen.0020151#pgen-0020151-b006" target="_blank">6</a>] for genes included in this study: yellow indicates inactivated genes, and blue indicates escape genes. Not all genes were analyzed at all distances because sequences that included adjacent genes with <i>different</i> inactivation patterns were excluded from analysis (see <a href="http://www.plosgenetics.org/article/info:doi/10.1371/journal.pgen.0020151#s4" target="_blank">Methods</a>). These gene distances remain uncolored.</p

    LDA Classification Success Rates for Different Values of the Tuning Parameter Ï„

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    <div><p>(A) Training set derived largely, but not exclusively, from Xp22 (See <a href="http://www.plosgenetics.org/article/info:doi/10.1371/journal.pgen.0020151#pgen-0020151-st003" target="_blank">Table S3</a>).</p><p>(B) Test set of Xp22 genes, with training performed on genes in (A).</p><p>(C) Test set of X genes outside of Xp22, with training performed on genes in (A).</p><p>(D) Training set of all X genes, including genes in Xp22. Dots indicate optimal values of Ï„ (see <a href="http://www.plosgenetics.org/article/info:doi/10.1371/journal.pgen.0020151#pgen-0020151-t004" target="_blank">Table 4</a> and <a href="http://www.plosgenetics.org/article/info:doi/10.1371/journal.pgen.0020151#s4" target="_blank">Methods</a>).</p></div

    On multiplicative structure in Quasi-Newton methods for nonlinear equations

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    We address the problem how additive and multiplicative structure in the derivatives can be exploited for the construction of Quasi-Newton approximations in smooth nonlinear equations. We derive a model algorithm and show its convergence properties based on a Broyden-like update rule. As a consequence of the use of exact multiplicative parts the convergence factor of the q-linear convergence rate is monotonically decreasing with the norm of the multiplicative part at the solution. Moreover, q-superlinear convergence can be shown, if certain compactness properties are valid, and q-quadratic convergence is obtained, if the multiplicative part vanishes at the solutionAvailable from TIB Hannover: RR 1843(92-22) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman
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