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 Statistical Learning



GloballyConvergentNewtonMethodsfor Ill-conditionedGeneralizedSelf-concordantLosses

Neural Information Processing Systems

Second, in the non-parametric machine learning setting, we provide an explicit algorithm combining the previous scheme with Nyström projection techniques, andprovethatitachievesoptimal generalization bounds with atime complexity of orderO(ndfλ), a memory complexity of orderO(df2λ) and no dependence on the condition number, generalizing the results known for leastsquaresregression.Here nisthenumberofobservationsand dfλ istheassociated degrees of freedom.








Statistical and Computational Trade-Offs in Kernel K-Means

Neural Information Processing Systems

More precisely, we study a Nyström approach to kernel k-means. Weanalyze thestatistical properties oftheproposed method andshow that it achieves the same accuracy of exact kernel k-means with only a fraction of computations.