Distributed classification learning based on nonlinear vector support machines for switching networks
Yinghui Wang; Peng Lin; Huashu Qin
Kybernetika (2017)
- Volume: 53, Issue: 4, page 595-611
- ISSN: 0023-5954
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topWang, Yinghui, Lin, Peng, and Qin, Huashu. "Distributed classification learning based on nonlinear vector support machines for switching networks." Kybernetika 53.4 (2017): 595-611. <http://eudml.org/doc/294851>.
@article{Wang2017,
abstract = {In this paper, we discuss the distributed design for binary classification based on the nonlinear support vector machine in a time-varying multi-agent network when the training data sets are distributedly located and unavailable to all agents. In particular, the aim is to find a global large margin classifier and then enable each agent to classify any new input data into one of the two labels in the binary classification without sharing its all local data with other agents. We formulate the support vector machine problem into a distributed optimization problem in approximation and employ a distributed algorithm in a time-varying network to solve it. Our algorithm is a stochastic one with the high convergence rate and the low communication cost. With the jointly-connected connectivity condition, we analyze the consensus rate and the convergence rate of the given algorithm. Then some experimental results on various classification training data sets are also provided to illustrate the effectiveness of the given algorithm.},
author = {Wang, Yinghui, Lin, Peng, Qin, Huashu},
journal = {Kybernetika},
keywords = {nonlinear support vector machine; multi-agent system; distributed optimization; connectivity},
language = {eng},
number = {4},
pages = {595-611},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Distributed classification learning based on nonlinear vector support machines for switching networks},
url = {http://eudml.org/doc/294851},
volume = {53},
year = {2017},
}
TY - JOUR
AU - Wang, Yinghui
AU - Lin, Peng
AU - Qin, Huashu
TI - Distributed classification learning based on nonlinear vector support machines for switching networks
JO - Kybernetika
PY - 2017
PB - Institute of Information Theory and Automation AS CR
VL - 53
IS - 4
SP - 595
EP - 611
AB - In this paper, we discuss the distributed design for binary classification based on the nonlinear support vector machine in a time-varying multi-agent network when the training data sets are distributedly located and unavailable to all agents. In particular, the aim is to find a global large margin classifier and then enable each agent to classify any new input data into one of the two labels in the binary classification without sharing its all local data with other agents. We formulate the support vector machine problem into a distributed optimization problem in approximation and employ a distributed algorithm in a time-varying network to solve it. Our algorithm is a stochastic one with the high convergence rate and the low communication cost. With the jointly-connected connectivity condition, we analyze the consensus rate and the convergence rate of the given algorithm. Then some experimental results on various classification training data sets are also provided to illustrate the effectiveness of the given algorithm.
LA - eng
KW - nonlinear support vector machine; multi-agent system; distributed optimization; connectivity
UR - http://eudml.org/doc/294851
ER -
References
top- Ali, R., Recht, B., Random features for large-scale kernel machines., In: Advances in Neural Information Processing System, MIT Press, Massachusetts 2008, pp. 1177-1184.
- Bernhard, S., Smola, A. J., Learning with Kernels: Support Vector Machines, Regularization, Optimization, and Beyond., MIT Press, Massachusetts 2002.
- Boyd, S., Parikh, N., Chu, E., Peleato, B., Eckstein, J., 10.1561/2200000016, Foundations and Trends in Machine Learning 3 (2011), 1-122. DOI10.1561/2200000016
- Chang, C. C., Lin, C. J., 10.1145/1961189.1961199, JACM Trans. Intell. Systems Technol. 2 (2011), 1-27. DOI10.1145/1961189.1961199
- Chapelle, O., 10.1162/neco.2007.19.5.1155, Neural Computation 19 (2007), 1155-1178. MR2309267DOI10.1162/neco.2007.19.5.1155
- Chapelle, O., Zien, A, Semi-supervised classification by low density separation., In: Proc. International Conference on Artificial Intelligence and Statistics, Barbados 2005.
- Cortes, C., Vapnik, V., 10.1007/bf00994018, Machine Learning 20 (1995), 273-297. DOI10.1007/bf00994018
- Drineas, P., Mahoney, M. W., On the Nyström method for approximating a Gram matrix for improved kernel-based learning., J. Machine Learning Research 6 (2005), 2153-2175. MR2249884
- Fayyad, U. M., Piatetsky-Shapiro, G., Smyth, P., Uthurusamy, R., Advances in Knowledge Discovery and Data Mining., AAAI Press, Menlo Park 1996.
- Flouri, K., Beferull-Lozano, B., Tsakalides, P., 10.1109/icdsp.2009.5201180, In: 16th European Signal Processing Conference, Lausanne 2008. DOI10.1109/icdsp.2009.5201180
- Forero, P A., Cano, A., Giannakis, G. B., Consensus-based distributed support vector machines., J. Machine Learning Research 11 (2010), 1663-1707. MR2653352
- Franc, V., Sonnenburg, S., 10.1145/1390156.1390197, In: Proc. 25th International Conference on Machine Learning, Helsinki 2008. MR2563979DOI10.1145/1390156.1390197
- Hu, J., On robust consensus of multi-agent systems with communication delays., Kybernetika 45 (2009), 768-784. Zbl1190.93003MR2599111
- Joachims, T., Finley, T., Yu, C. J., 10.1007/s10994-009-5108-8, Machine Learning 77 (2009), 27-59. DOI10.1007/s10994-009-5108-8
- Lee, S., Wright, S. J., 10.1007/978-1-4614-5076-4_5, In: Mathematical Methodologies in Pattern Recognition and Machine Learning, Springer, New York 2011, pp. 67-82. DOI10.1007/978-1-4614-5076-4_5
- Lou, Y., Hong, Y., Wang, S., 10.1016/j.automatica.2016.02.019, Automatica 69 (2016), 289-297. Zbl1338.93026MR3500113DOI10.1016/j.automatica.2016.02.019
- Lu, Y., Roychowdhury, V., Vandenberghe, L., 10.1109/tnn.2007.2000061, IEEE Trans. Neural Networks 19 (2008), 1167-1178. DOI10.1109/tnn.2007.2000061
- Kim, W., Park, J., Yoo, J., Kim, H. J., Park, C. G., 10.1109/tsmcb.2012.2226151, IEEE Trans. Cybernetics 43 (2013), 1189-1198. DOI10.1109/tsmcb.2012.2226151
- Kim, W., Stanković, M. S., Johansson, K. H., Kim, H.J., 10.1109/TCYB.2014.2377123, IEEE Trans. Neural Cybernetics 45 (2015), 2599–2611. DOI10.1109/TCYB.2014.2377123
- Nedic, A., Asuman, O., 10.1109/tac.2008.2009515, IEEE Trans. Automatic Control 54 (2009), 48-61. MR2478070DOI10.1109/tac.2008.2009515
- Platt, J. C., Fast training of support vector machines using sequential minimal optimization., In: Advances in Kernel Methods, MIT Press, Massachusetts 1999, pp. 185-208.
- Polyak, B. T., Introduction to Optimization., Springer, New York 1987. MR1099605
- Rifkin, R., Klautau, A., In defense of one-vs-all classification., J. Machine Learning Research 5 (2004), 101-141. MR2247975
- Scardapane, S., Fierimonte, R., Lorenzo, P. D., Panella, M., Uncini, A., 10.1016/j.neunet.2016.04.007, Neural Networks 80 (2016), 43-52. DOI10.1016/j.neunet.2016.04.007
- Shalev-Shwartz, S., Singer, Y., Srebro, N., 10.1145/1273496.1273598, In: Proc. 24th International Conference on Machine Learning, Oregon 2007. DOI10.1145/1273496.1273598
- Sra, S., Nowozin, S., Wright, S. J., Optimization for Machine Learning., MIT Press, Massachusetts 2012.
- Wang, X., Chen, Y., 10.14736/kyb-2016-3-0427, Kybernetika 52 (2016), 427-440. MR3532515DOI10.14736/kyb-2016-3-0427
- Weston, J., Watkins, C., Support vector machines for multi-class pattern recognition., ESANN 99 (1999), 219-224.
- Yi, P., Hong, Y., 10.1007/s11768-015-5100-8, Control Theory Technol. 13 (2015), 333-347. MR3435158DOI10.1007/s11768-015-5100-8
- Yuan, D., Ho, D. W. C., Hong, Y., 10.1137/15m1048896, SIAM J. Control Optim. 54 (2016), 2872-2892. MR3561770DOI10.1137/15m1048896
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