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We give sub linear-time approximation algorithms for some optimization problems arising in machine learning, such as training linear classifiers and finding minimum enclosing balls. Our algorithms can be extended to some kernelized versions of these problems, such as SVDD, hard margin SVM, and L2-SVM, for which sub linear-time algorithms were not known before. These new algorithms use a combination...
The potential of photoelectron diffraction—exploiting the coherent interference of directly-emitted and elastically scattered components of the photoelectron wavefield emitted from a core level of a surface atom to obtain structural information—was first appreciated in the 1970s. The first demonstrations of the effect were published towards the end of that decade, but the method has now entered the...
The technique of X-ray standing wavefield absorption applied to the determination of adsorbate structures at the solid-vacuum interface is reviewed with particular emphasis on those studies exploiting normal incidence to the Bragg scatterer planes which allows the method to be used to study adsorption structures at the surfaces of typical metal as well as semiconductor single crystals. The general...
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