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Applied mathematics letters, ISSN 0893-9659, 07/2017, Volume 69, pp. 75 - 81
This Note derives regularity bounds for a Gevrey criterion when the Cauchy problem of elliptic equations is solved by regularization... 
Regularity bounds | Gevrey criterion | Kernel-based regularization | Elliptic equations | Inequalities | Cauchy problem | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Mathematics - Analysis of PDEs
Journal Article
Automatica (Oxford), ISSN 0005-1098, 03/2014, Volume 50, Issue 3, pp. 657 - 682
Journal Article
Mechanical systems and signal processing, ISSN 0888-3270, 05/2018, Volume 104, pp. 896 - 914
Journal Article
Automatica (Oxford), ISSN 0005-1098, 08/2018, Volume 94, pp. 381 - 395
Journal Article
Automatica (Oxford), ISSN 0005-1098, 07/2018, Volume 93, pp. 321 - 332
.... Regularization in reproducing kernel Hilbert spaces (RKHSs) is widely used to solve this task and includes powerful estimators such as regularization networks... 
Regularization networks | Kernel-based regularization | System identification | Learning from examples | BIBO stability | Reproducing kernel Hilbert spaces of dynamic systems | Generalization and consistency | Engineering, Electrical & Electronic | Engineering | Automation & Control Systems | Technology | Science & Technology | Machine learning
Journal Article
Automatica (Oxford), ISSN 0005-1098, 05/2017, Volume 79, pp. 326 - 339
... on ℓ2-type regularization which accounts for the stability and smoothness of the impulse response to be estimated, these approaches have been shown to be competitive w.r.t... 
Bayesian interpretation of regularization | Maximum entropy paradigm | Linear system identification | Hankel nuclear norm | Kernel-based regularization | Gaussian processes | Engineering, Electrical & Electronic | Engineering | Automation & Control Systems | Technology | Science & Technology | Analysis | MIMO communications | Algorithms
Journal Article
Automatica (Oxford), ISSN 0005-1098, 10/2019, Volume 108, p. 108493
A different route to identification of time-invariant linear systems has been recently proposed which does not require committing to a specific parametric... 
Missing data | Stable spline kernels | Linear system identification | Stable spline imputation | Gaussian processes | Kernel-based regularization | Radial basis functions kernels
Journal Article
2019 58th Annual Conference of the Society of Instrument and Control Engineers of Japan (SICE), 09/2019, pp. 528 - 531
.... To avoid this overfitting, we use the kernel-based regularization which enjoys a priori knowledge on the target system... 
kernel-based regularization | Estimation | Acoustics | Frequency estimation | Identification | impulse response | Kernel | Gain | Standards | Least mean squares methods
Conference Proceeding
IFAC-PapersOnLine, 01/2018, Volume 51, Issue 15, pp. 186 - 191
Kernel-based regularization has recently been shown to be a successful method for impulse response estimation... 
kernel-based regularization | Bayesian estimation | Linear system identification | model mixing
Journal Article
Journal of approximation theory, ISSN 0021-9045, 03/2013, Volume 167, pp. 240 - 258
Regularization schemes with an ℓ1-regularizer often produce sparse representations for objects in approximation theory, image processing, statistics and learning theory... 
Learning theory | Multivariate approximation | Kernel-based regularization scheme | [formula omitted]-regularizer | Data dependent hypothesis spaces | regularizer
Journal Article