The Relaxed Online Maximum Margin Algorithm
Machine Learning
A new approximate maximal margin classification algorithm
The Journal of Machine Learning Research
Online Passive-Aggressive Algorithms
The Journal of Machine Learning Research
The Forgetron: A Kernel-Based Perceptron on a Budget
SIAM Journal on Computing
The projectron: a bounded kernel-based Perceptron
Proceedings of the 25th international conference on Machine learning
Tracking the best hyperplane with a simple budget perceptron
COLT'06 Proceedings of the 19th annual conference on Learning Theory
IEEE Transactions on Signal Processing
Fixed budget quantized kernel least-mean-square algorithm
Signal Processing
The Journal of Machine Learning Research
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Kernel Perceptrons are represented by a subset of training points, called the support vectors, and their associated weights. To address the issue of unlimited growth in model size during training, budget kernel perceptrons maintain the fixed number of support vectors and thus achieve the constant update time and space complexity. In this paper, a new kernel perceptron algorithm for online learning on a budget is proposed. Following the idea of Tighter Perceptron, upon exceeding the budget, the algorithm removes the support vector with the minimal impact on classification accuracy. To optimize memory use, instead on maintaining a separate validation data set for accuracy estimation, the proposed algorithm only uses the support vectors for both model representation and validation. This is achieved by estimating posterior class probability of each support vector and using this information in validation. The experimental results on 11 benchmark data sets indicate that the proposed algorithm is significantly more accurate than the competing budget kernel perceptrons and that it has comparable accuracy to the resource unbounded perceptrons, including the original kernel perceptron and the Tighter Perceptron that uses whole training data set for validation.