Details of Research Outputs

TitleContinuous-time DC kernel - A stable generalized first order spline kernel
Author (Name in English or Pinyin)
Chen, Tianshi1; Pillonetto, Gianluigi2; Chiuso, Alessandro2; Ljung, Lennart3
Date Issued2016-12-27
Conference Name2016 IEEE 55th Conference on Decision and Control, CDC 2016
Source PublicationIEEE Conf. Decis. Control, CDC 2016
Conference PlaceLas Vegas, NV, United states
DOI10.1109/CDC.2016.7798977
Funding Project其他课题
Firstlevel Discipline自然科学相关工程与技术
Education discipline科技类
Published range国外学术期刊
Volume Issue Pagesp4647-4652
References
[1] L. Ljung, System Identification-Theory for the User. Upper Saddle River, N.J.: Prentice-Hall, 2nd ed., 1999.
[2] T. Söderström and P. Stoica, Instrumental Variable Methods for System Identification. Springer-Verlag New York, 1983.
[3] G. Pillonetto and G. D. Nicolao, "A new kernel-based approach for linear system identification," Automatica, vol. 46, no. 1, pp. 81-93, 2010.
[4] G. Pillonetto, A. Chiuso, and G. D. Nicolao, "Prediction error identification of linear systems: A nonparametric Gaussian regression approach," Automatica, vol. 47, no. 2, pp. 291-305, 2011.
[5] T. Chen, H. Ohlsson, and L. Ljung, "On the estimation of transfer functions, regularizations and Gaussian processes-Revisited," Automatica, vol. 48, pp. 1525-1535, 2012.
[6] T. Chen, M. S. Andersen, L. Ljung, A. Chiuso, and G. Pillonetto, "System identification via sparse multiple kernel-based regularization using sequential convex optimization techniques," IEEE Transactions on Automatic Control, no. 11, pp. 2933-2945, 2014.
[7] G. Pillonetto and A. Chiuso, "Tuning complexity in regularized kernelbased regression and linear system identification: The robustness of the marginal likelihood estimator," Automatica, vol. 58, pp. 106-117, 2015.
[8] G. Pillonetto, F. Dinuzzo, T. Chen, G. De Nicolao, and L. Ljung, "Kernel methods in system identification, machine learning and function estimation: A survey," Automatica, vol. 50, no. 3, pp. 657-682, 2014.
[9] T. Chen and L. Ljung, "Constructive state-space model induced kernels for regularized system identification," in 19th IFAC World Congress, (Cape town, South Africa), pp. 1047-1052, 2014.
[10] T. Chen and L. Ljung, "On kernel structure for regularized system identification (i): A machine learning perspective," in Proceedings of the IFAC Symposium on System Identification, (Beijing, China.), pp. 1035-1040, 2015.
[11] T. Chen and L. Ljung, "On kernel structure for regularized system identification (ii): A system theory perspective," in Proceedings of the IFAC Symposium on System Identification, (Beijing, China.), pp. 1041-1046, 2015.
[12] T. Chen, G. Pillonetto, A. Chiuso, and L. Ljung, "Spectral analysis of the dc kernel for regularized system identification," in Proc. 54th IEEE Conference on Decision and Control(CDC), (Osaka, Japan), pp. 4017-4022, 2015.
[13] T. Chen, T. Ardeshiri, F. P. Carli, A. Chiuso, L. Ljung, and G. Pillonetto, "Maximum entropy properties of discrete-time first-order stable spline kernel," Automatica, vol. 66, pp. 34-38, 2016.
[14] N. Aronszajn, "Theory of reproducing kernels," Transactions of the American mathematical society, pp. 337-404, 1950.
[15] J. Mercer, "Functions of positive and negative type, and their connection with the theory of integral equations," Philosophical transactions of the royal society of London. Series A, containing papers of a mathematical or physical character, pp. 415-446, 1909.
[16] H. Hochstadt, Integral equations. John Wiley & Sons, 1973.
[17] F. Cucker and S. Smale, "On the mathematical foundations of learning," American Mathematical Society, vol. 39, no. 1, pp. 1-49, 2002.
[18] G. Pillonetto, A. Chiuso, and G. De Nicolao, "Regularized estimation of sums of exponentials in spaces generated by stable spline kernels," in American Control Conference (ACC), 2010, pp. 498-503, IEEE, 2010.
[19] R. A. Adams and J. J. Fournier, Sobolev Spaces. Academic press, 2003.
[20] V. G. Maz'ja, Sobolev Spaces. Springer, 2013.
[21] G. Wahba, Spline models for observational data. Philadelphia: SIAM, 1990.
[22] K. J. Aström, Introduction to stochastic control theory. New York and London: Academic Press, 1970.
[23] H. L. V. Trees, Detection, Estimation, and Modulation Theory: Part I. John Wiley & Sons, 2nd ed., 2001.
Citation statistics
Cited Times [WOS]:0   [WOS Record]     [Related Records in WOS]
Document TypeConference paper
Identifierhttps://irepository.cuhk.edu.cn/handle/3EPUXD0A/194
CollectionSchool of Data Science
Affiliation
1.School of Science and Engineering, The Chinese University of Hong Kong, Shenzhen, China
2.Department of Information Engineering, University of Padova, Italy
3.Division of Automatic Control, Department of Electrical Engineering, Linköping University, Sweden
First Author AffilicationSchool of Science and Engineering
Recommended Citation
GB/T 7714
Chen, Tianshi,Pillonetto, Gianluigi,Chiuso, Alessandroet al. Continuous-time DC kernel - A stable generalized first order spline kernel[C],2016.
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