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On Reproducing Kernel Hilbert Spaces of Polynomials
Mathematische Nachrichten, 1997AbstractCertain Hilbert spaces of polynomials, called Szegö spaces [11], are studied. A transformation, called Hilbert traneformation, is constructed for every polynomial associatted with a Szegö space. An orthogonal set is found in a Szegö space which determines the norm of the space. A matrix factorization theory is obtained for defining polynomials.
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Which Spaces can be Embedded in Reproducing Kernel Hilbert Spaces?
Given a Banach space $E$ consisting of functions, we ask whether there exists a reproducing kernel Hilbert space $H$ with bounded kernel such that $E\subset H$.
Ingo Steinwart, Steinwart Ingo
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Adaptive estimation in reproducing kernel Hilbert spaces
2017 American Control Conference (ACC), 2017This paper introduces a novel framework for the study of adaptive or online estimation problems for a common class of nonlinear systems governed by ordinary differential equations (ODEs) on ℝd. In contrast to most conventional strategies for ODEs, the approach here embeds the estimate of the unknown nonlinear function appearing in the plant in a ...
Parag Bobade +4 more
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The Henderson Smoother in Reproducing Kernel Hilbert Space
Journal of Business & Economic Statistics, 2008The Henderson smoother has been traditionally applied for trend-cycle estimation in the context of nonparametric seasonal adjustment software officially adopted by statistical agencies. This study introduces a Henderson third-order kernel representation by means of the reproducing kernel Hilbert space (RKHS) methodology.
DAGUM, ESTELLE BEE, BIANCONCINI, SILVIA
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Reproducing Kernel Hilbert Spaces With Odd Kernels in Price Prediction
IEEE Transactions on Neural Networks and Learning Systems, 2012For time series of futures contract prices, the expected price change is modeled conditional on past price changes. The proposed model takes the form of regression in a reproducing kernel Hilbert space with the constraint that the regression function must be odd.
Milos Krejnik, Anton Tyutin
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QMC Integration in Reproducing Kernel Hilbert Spaces
2014We return to the problem of numerical integration of multivariate functions. As already mentioned in Sect. 1.1, we normalize the integration domain to be the compact unit cube [0, 1] s , and hence the integrals considered are of the form ( 1.1).
Gunther Leobacher +1 more
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Skill Disentanglement in Reproducing Kernel Hilbert Space
Proceedings of the AAAI Conference on Artificial IntelligenceUnsupervised Skill Discovery aims at learning diverse skills without any extrinsic rewards and leverage them as prior for learning a variety of downstream tasks. Existing approaches to unsupervised reinforcement learning typically involve discovering skills through empowerment-driven techniques or by maximizing entropy to encourage exploration. However,
Vedant Dave, Elmar Rueckert
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Subspace classifier in reproducing kernel Hilbert space
IJCNN'99. International Joint Conference on Neural Networks. Proceedings (Cat. No.99CH36339), 2003To improve the performance of subspace classifier, it is effective to reduce the dimensionality of the intersections between subspaces. For this purpose, the feature space is mapped implicitly to a high dimensional reproducing kernel Hilbert space and the subspace classifier is applied in this space.
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Reproducing Kernels of Hilbert Spaces
2025 27th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC)Diane Guignard, Olivier D. Lafitte
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