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Practical methods of optimization; (2nd ed.)
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Mistake bounds and logarithmic linear-threshold learning algorithms
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Introduction to the theory of neural computation
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A training algorithm for optimal margin classifiers
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Journal of Computer and System Sciences
The nature of statistical learning theory
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Large margin classification using the perceptron algorithm
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Support vector machines, reproducing kernel Hilbert spaces, and randomized GACV
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Solving the quadratic programming problem arising in support vector classification
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Fast training of support vector machines using sequential minimal optimization
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Covering numbers for support vector machines
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Prediction with Gaussian processes: from linear regression to linear prediction and beyond
Learning in graphical models
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Learning in Neural Networks: Theoretical Foundations
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Selective Voting for Perception-like Online Learning
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Ultraconservative Online Algorithms for Multiclass Problems
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Ultraconservative online algorithms for multiclass problems
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Single-pass online learning: performance, voting schemes and online feature selection
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Fast Kernel Classifiers with Online and Active Learning
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Online Passive-Aggressive Algorithms
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Step Size Adaptation in Reproducing Kernel Hilbert Space
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Worst-Case Analysis of Selective Sampling for Linear Classification
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Noise Tolerant Variants of the Perceptron Algorithm
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Approximate maximum margin algorithms with rules controlled by the number of mistakes
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Real-time ranking with concept drift using expert advice
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Fast learning of document ranking functions with the committee perceptron
WSDM '08 Proceedings of the 2008 International Conference on Web Search and Data Mining
Maximal Margin Estimation with Perceptron-Like Algorithm
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Online learning by ellipsoid method
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Maximum margin coresets for active and noise tolerant learning
IJCAI'07 Proceedings of the 20th international joint conference on Artifical intelligence
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IEEE Transactions on Neural Networks
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IJCNN'09 Proceedings of the 2009 international joint conference on Neural Networks
Online adaptive policies for ensemble classifiers
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Pattern Recognition Letters
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We describe a new incremental algorithm for training linear threshold functions: the Relaxed Online Maximum Margin Algorithm, or ROMMA. ROMMA can be viewed as an approximation to the algorithm that repeatedly chooses the hyperplane that classifies previously seen examples correctly with the maximum margin. It is known that such a maximum-margin hypothesis can be computed by minimizing the length of the weight vector subject to a number of linear constraints. ROMMA works by maintaining a relatively simple relaxation of these constraints that can be efficiently updated. We prove a mistake bound for ROMMA that is the same as that proved for the perceptron algorithm. Our analysis implies that the maximum-margin algorithm also satisfies this mistake bound; this is the first worst-case performance guarantee for this algorithm. We describe some experiments using ROMMA and a variant that updates its hypothesis more aggressively as batch algorithms to recognize handwritten digits. The computational complexity and simplicity of these algorithms is similar to that of perceptron algorithm, but their generalization is much better. We show that a batch algorithm based on aggressive ROMMA converges to the fixed threshold SVM hypothesis.