Sequential support vector machines

We derive an algorithm to train support vector machines sequentially. The algorithm makes use of the Kalman filter and is optimal in a minimum variance framework. It extends the support vector machine paradigm to applications involving real-time and non-stationary signal processing. It also provides a computationally efficient alternative to the problem of quadratic optimisation.

[1]  Arnaud Doucet,et al.  Sequential Monte Carlo Methods to Train Neural Network Models , 2000, Neural Computation.

[2]  A. Doucet,et al.  Sequential MCMC for Bayesian model selection , 1999, Proceedings of the IEEE Signal Processing Workshop on Higher-Order Statistics. SPW-HOS '99.

[3]  Christophe Andrieu,et al.  Robust Full Bayesian Learning for Neural Networks , 1999 .

[4]  Mahesan Niranjan Sequential Tracking in Pricing Financial Options using Model Based and Neural Network Approaches , 1996, NIPS.

[5]  Nello Cristianini,et al.  The Kernel-Adatron : A fast and simple learning procedure for support vector machines , 1998, ICML 1998.

[6]  Zoubin Ghahramani,et al.  A Unifying Review of Linear Gaussian Models , 1999, Neural Computation.

[7]  J. Hull Options, Futures, and Other Derivatives , 1989 .

[8]  Mahesan Niranjan,et al.  Hierarchical Bayesian-Kalman models for regularisation and ARD in sequential learning , 1997 .

[9]  Vladimir N. Vapnik,et al.  The Nature of Statistical Learning Theory , 2000, Statistics for Engineering and Information Science.

[10]  P. Green Reversible jump Markov chain Monte Carlo computation and Bayesian model determination , 1995 .

[11]  J. Mercer Functions of positive and negative type, and their connection with the theory of integral equations , 1909 .

[12]  John C. Platt,et al.  Fast training of support vector machines using sequential minimal optimization, advances in kernel methods , 1999 .

[13]  John C. Platt A Resource-Allocating Network for Function Interpolation , 1991, Neural Computation.

[14]  Vladimir Vapnik,et al.  The Nature of Statistical Learning , 1995 .

[15]  R. Fletcher Practical Methods of Optimization , 1988 .

[16]  Federico Girosi,et al.  Support Vector Machines: Training and Applications , 1997 .

[17]  R. E. Kalman,et al.  New Results in Linear Filtering and Prediction Theory , 1961 .

[18]  G. Kitagawa Monte Carlo Filter and Smoother for Non-Gaussian Nonlinear State Space Models , 1996 .

[19]  Mahesan Niranjan,et al.  The EM algorithm and neural networks for nonlinear state space estimation , 1998 .