2002
DOI: 10.1007/3-540-45435-7_9
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A Second-Order Perceptron Algorithm

Abstract: Kernel-based linear-threshold algorithms, such as support vector machines and Perceptron-like algorithms, are among the best available techniques for solving pattern classification problems. In this paper, we describe an extension of the classical Perceptron algorithm, called second-order Perceptron, and analyze its performance within the mistake bound model of on-line learning. The bound achieved by our algorithm depends on the sensitivity to second-order data information and is the best known mistake bound f… Show more

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Cited by 44 publications
(80 citation statements)
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“…5). To choose the proper OML algorithm, benchmark experiments were carried out with 14 different OML algorithms: Perceptron [15], RAMMA and agg-RAMMA [16], OGD [17], PA- I and PA-II [18], SOP [19], CW [20], IEL-LIP [21], NHERD [22], AROW [23], NAROW [24], SCW-I and SCW-II [10], using 100 interictal discharges and 100 non-interictal discharges from the same record. As shown in Fig.…”
Section: Resultsmentioning
confidence: 99%
“…5). To choose the proper OML algorithm, benchmark experiments were carried out with 14 different OML algorithms: Perceptron [15], RAMMA and agg-RAMMA [16], OGD [17], PA- I and PA-II [18], SOP [19], CW [20], IEL-LIP [21], NHERD [22], AROW [23], NAROW [24], SCW-I and SCW-II [10], using 100 interictal discharges and 100 non-interictal discharges from the same record. As shown in Fig.…”
Section: Resultsmentioning
confidence: 99%
“…2) Second-order algorithms: such Second Order Perceptron (SOP) [15], Confidence Weigted learning (CW) [16], etc.…”
Section: ) First-order Algorithmsmentioning
confidence: 99%
“…There are several popular online methods such as perceptron (Rosenblatt, 1958), passive-aggressive (Crammer et al, 2006), stochastic gradient descent (Zhang, 2004), aggregating algorithm (Vovk, 2001) and the second order perceptron (Cesa-Bianchi et al, 2005). In (Cesa-Bianchi and Lugosi, 2006), an in-deph analysis of online learning is provided.…”
Section: Introductionmentioning
confidence: 99%