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Practical Tikhonov Regularized Estimators in Reproducing Kernel Hilbert Spaces for Statistical Inverse Problems
Tikhonov Regularized Estimators Reproducing Kernel Hilbert Spaces Statistical Inverse Problems
2013/6/13
Regularized kernel methods such as support vector machines (SVM) and support vector regression (SVR) constitute a broad and flexible class of methods which are theoretically well investigated and comm...
Path Integral Control by Reproducing Kernel Hilbert Space Embedding
Path Integral Control Reproducing Kernel Hilbert Space Embedding
2012/9/18
We present an embedding of stochastic optimal control problems, of the so called path integral form, into reproducing kernel Hilbert spaces. Using consistent, sample based estimates of the embedding l...
Balanced Reduction of Nonlinear Control Systems in Reproducing Kernel Hilbert Space
Nonlinear Control Systems Kernel Hilbert Space
2010/11/19
We introduce a novel data-driven order reduction method for nonlinear control systems, drawing on recent progress in machine learning and statistical dimensionality reduction. The method rests on the ...
Nonlinear functional models for functional responses in reproducing kernel Hilbert spaces
Functional regression models Representer theorem Reproducing kernel Hilbertspace Generalized cross-validation Kernel estimate
2010/4/26
An extension of reproducing kernel Hilbert space (RKHS) theory provides a new
framework for modeling functional regression models with functional responses. The approach
only presumes a general nonl...