Forgetron swMATH ID: 23913 Software Authors: Dekel, Ofer; Shalev-Shwartz, Shai; Singer, Yoram Description: The Forgetron: A kernel-based perceptron on a budget. The Perceptron algorithm, despite its simplicity, often performs well in online classification tasks. The Perceptron becomes especially effective when it is used in conjunction with kernel functions. However, a common difficulty encountered when implementing kernel-based online algorithms is the amount of memory required to store the online hypothesis, which may grow unboundedly as the algorithm progresses. Moreover, the running time of each online round grows linearly with the amount of memory used to store the hypothesis. In this paper, we present the Forgetron family of kernel-based online classification algorithms, which overcome this problem by restricting themselves to a predefined memory budget. We obtain different members of this family by modifying the kernel-based Perceptron in various ways. We also prove a unified mistake bound for all of the Forgetron algorithms. To our knowledge, this is the first online kernel-based learning paradigm which, on one hand, maintains a strict limit on the amount of memory it uses and, on the other hand, entertains a relative mistake bound. We conclude with experiments using real datasets, which underscore the merits of our approach Homepage: https://github.com/algorithmfoundry/Foundry/blob/master/Components/LearningCore/Source/gov/sandia/cognition/learning/algorithm/perceptron/kernel/Forgetron.java Source Code: https://github.com/algorithmfoundry/Foundry/blob/master/Components/LearningCore/Source/gov/sandia/cognition/learning/algorithm/perceptron/kernel/Forgetron.java Related Software: Pegasos; LIBSVM; RSVM; GoGP; PAMR; GraphLab; MapReduce; UCI-ml; LWPR; LINPACK; SimpleMKL; AdaBoost.MH; SHOGUN Cited in: 16 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year The Forgetron: A kernel-based perceptron on a budget. Zbl 1151.68579Dekel, Ofer; Shalev-Shwartz, Shai; Singer, Yoram 2008 all top 5 Cited by 34 Authors 2 He, Wenwu 2 Hoi, Steven C. H. 2 Phung, Dinh Q. 2 Shalev-Shwartz, Shai 2 Singer, Yoram 2 Zhao, Peilin 1 Adams, Niall M. 1 Bach, Francis R. 1 Cavallanti, Giovanni 1 Cesa-Bianchi, Nicolò 1 Dekel, Ofer 1 Dieuleveut, Aymeric 1 Gentile, Claudio 1 Gijsberts, Arjan 1 Hand, David J. 1 Jiang, Hui 1 Jin, Rong 1 Kwok, James T. 1 Li, Junfan 1 Liao, Shizhong 1 Liu, Zhiyong 1 Louche, Ugo 1 Lu, Jing 1 Metta, Giorgio 1 Nguyen, Tu Dinh 1 Pavlidis, Nicos G. 1 Ralaivola, Liva 1 Tasoulis, Dimitris K. 1 Vucetic, Slobodan 1 Wang, Jialei 1 Wang, Zhuang 1 Wu, Si 1 Yang, Tianbao 1 Zhang, Bo all top 5 Cited in 8 Serials 6 Machine Learning 3 Neural Networks 2 Journal of Machine Learning Research (JMLR) 1 The Annals of Statistics 1 SIAM Journal on Computing 1 Pattern Recognition 1 Soft Computing 1 Statistical Analysis and Data Mining all top 5 Cited in 6 Fields 15 Computer science (68-XX) 4 Statistics (62-XX) 2 Operations research, mathematical programming (90-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) Citations by Year