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Summary: Infinite Ensemble Learning with
Support Vector Machines
HsuanTien Lin and Ling Li
Learning Systems Group, California Institute of Technology, USA
htlin@caltech.edu, ling@caltech.edu
Abstract. Ensemble learning algorithms such as boosting can achieve
better performance by averaging over the predictions of base hypothe
ses. However, existing algorithms are limited to combining only a finite
number of hypotheses, and the generated ensemble is usually sparse. It
is not clear whether we should construct an ensemble classifier with a
larger or even infinite number of hypotheses. In addition, constructing an
infinite ensemble itself is a challenging task. In this paper, we formulate
an infinite ensemble learning framework based on SVM. The framework
can output an infinite and nonsparse ensemble, and can be used to con
struct new kernels for SVM as well as to interpret some existing ones.
We demonstrate the framework with a concrete application, the stump
kernel, which embodies infinitely many decision stumps. The stump ker
nel is simple, yet powerful. Experimental results show that SVM with
the stump kernel is usually superior than boosting, even with noisy data.
1 Introduction
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