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The nature of statistical learning theory

The nature of statistical learning theory,V. Vapnic

The nature of statistical learning theory   (Citations: 9780)
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Published in 1995.
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    • ...Support vector machine (SVM) [3], [44] is a widely used machine learning technique and has been applied successfully to many real-world applications [8]...
    • ...complexity [44]; C is the parameter to trade off the model complexityandthesumoflossesofthetrainingbags; � iy isthe amplification coefficient of the loss � i for handing the class imbalance problem...
    • ...The procedure of solving the optimization problem (1) is called “training,” and it has been proved that the training procedure depends only on the data through dot products in H [3], [44], i.e., on functions of the form KðXi ;X j Þ¼ h� ðXiÞ ;� ðXjÞi where KðXi ;X jÞ is called “kernel function;” Xi and Xj denote two arbitrary training bags...
    • ...In fact, kernel function is very crucial in support vector machine and needs to be predefined [44]...

    Ying-Xin Liet al. Drosophila Gene Expression Pattern Annotation through Multi-Instance M...

    • ...In this current analysis, 18 averaged measurements per experimental condition were used to assess the usefulness of three supervised classification methods in classifying infants: classical discriminant function analysis, regularized discriminant function analysis (Friedman, 1987) and support vector machines (Vapnik, 1995)...

    Daniel Stahlet al. Novel Machine Learning Methods for ERP Analysis: A Validation From Res...

    • ...The study of maximal margin-based learning algorithms [1] (or support vector machines) has become an active area of research in machine learning and data mining over the past few decades...

    Jiming Penget al. An efficient algorithm for maximal margin clustering

    • ...Support Vector Machines (SVM) (Vapnik, 1995; Cristianini and Taylor, 2000; Hastie et al, 2009) and Distance Weight Discrimination (DWD) (Marron et al, 2007) are two commonly used large margin based classification methods...

    Hanwen Huanget al. Multiclass Distance Weighted Discrimination

    • ...The primal objective function is the sum of the loss on each training example and a regularization term that reduces the complexity of the solution (Vapnik, 1995; Muller, Mika, Ratsch, Tsuda, & Schölkopf, 2001)...

    Ramón Huertaet al. Inhibition in Multiclass Classification

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