Read e-book online An Introduction to Support Vector Machines and Other PDF

By Nello Cristianini

ISBN-10: 0521780195

ISBN-13: 9780521780193

This is often the 1st entire creation to SVMs, a brand new new release studying process in keeping with fresh advances in statistical studying concept; it's going to aid readers comprehend the speculation and its real-world purposes.

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Extra resources for An Introduction to Support Vector Machines and Other Kernel-based Learning Methods

Example text

D. biasing densities will entail loss in estimator performance and perfect estimation cannot be achieved. Any of the biasing methods described earlier can be applied to the individual random variables comprising Sn, of course with varying performances. d. IS densities for tail probability estimation of sums appears to be a mathematically intractable problem. While all biasing schemes are applicable to sums, there is a restriction on the use of translation. d. biasing cannot be used for sums consisting of random variables that are one-sided.

In Beaulieu [8], densities with heavier tails are used for biasing. Search can be carried out for good biasing densities using more general classes of transformations. However, such formulations may not result in much advantage since the distorted tails produced by the transformations could have little resemblance to the original density. Another approach described in the literature suggests selection of biasing densities based on certain distance criteria, Orsak & Aazhang [46]. Here a constrained class of densities that excludes f~Pt is defined.

16 with a maximum gain of 3 x 105 . 075. It can be observed that the two-parameter density more closely resembles f~Pt. • It is evident from this example that two-parameter IS problems require appreciably more effort for an optimal implementation than problems involving a single biasing parameter. Nevertheless the extra effort is justified if significant savings in sample sizes can be obtained in an application. 4 Other biasing methods It is clear that motivated by the shape of f~Pt, several density functions can be proposed as candidates for biasing.

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An Introduction to Support Vector Machines and Other Kernel-based Learning Methods by Nello Cristianini

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