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Reproducing Kernel Hilbert Spaces and fractal interpolation
Journal of Computational and Applied Mathematics, 2011 The main result of this work is to link two fields: fractal interpolation and reproducing kernel Hilbert space. The corresponding spaces of the simple fractal interpolation functions are also reproducing kernel Hilbert spaces, as specific cases. The authors provide the elements for calculating the respective kernel functions for reproducing kernel ...
Bouboulis, P., Mavroforakis, M.
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Learnability in Hilbert Spaces with Reproducing Kernels
Journal of Complexity, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Designing Wire Mazes for Replicating Natural Echoes to Study Bat Biosonar Function
Advanced Intelligent Systems, EarlyView.A validated framework combining efficient physical modeling (multiple scattering model) and deep learning is presented to guide wire‐maze design for bat biosonar studies. This approach rapidly generates large datasets to test acoustic distinguishability among wire arrangements.
Chunlin Jia +3 more
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A Characterization for reproducing kernel Hilbert spaces
Journal of Mathematical Analysis and Applications, 1974 AbstractLet G(t, s) be the Green's functions associated with N, a differential operator restricted to certain boundary conditions. Define (u, v)N = (Nu, v)L2. It is shown that the reproducing kernel Hilbert space generated by G is the same as the Hilbert-space completion with respect to ∥ · ∥N of the set of real valued functions which are in C2n and ...
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Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
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On the stability test for reproducing kernel Hilbert spaces
CoRR, 2023 Reproducing kernel Hilbert spaces (RKHSs) are special Hilbert spaces where all the evaluation functionals are linear and bounded. They are in one-to-one correspondence with positive definite maps called kernels. Stable RKHSs enjoy the additional property of containing only functions and absolutely integrable.
Mauro Bisiacco, Gianluigi Pillonetto
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Privacy‐Preserving Data‐Driven Distributed MPC for Heterogeneous Nonlinear Multi‐Agent Systems
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Distributed model predictive control (DMPC) is a cornerstone for coordinating multi‐agent systems, yet simultaneously ensuring data privacy, handling unknown nonlinear dynamics, and managing heterogeneous constraints remains an open challenge.
Mahmood Mazare, Hossein Ramezani
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n-Best kernel approximation in reproducing kernel Hilbert spaces
Applied and Computational Harmonic Analysis, 2022 By making a seminal use of the maximum modulus principle of holomorphic functions we prove existence of $n$-best kernel approximation for a wide class of reproducing kernel Hilbert spaces of holomorphic functions in the unit disc, and for the corresponding class of Bochner type spaces of stochastic processes.
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Reproducing kernel Hilbert spaces on manifolds: Sobolev and diffusion spaces [PDF]
Analysis and Applications, 2020 We study reproducing kernel Hilbert spaces (RKHS) on a Riemannian manifold. In particular, we discuss under which condition Sobolev spaces are RKHS and characterize their reproducing kernels. Further, we introduce and discuss a class of smoother RKHS that we call diffusion spaces.
De Vito E., Mucke N., Rosasco L.
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Social Sustainability in Circular Bioeconomy Business Models: Insights From Argentina
Sustainable Development, EarlyView.ABSTRACT Research on circular bioeconomy business models (CBEBM) has largely prioritised environmental and economic aspects, leaving out the social pillar. To address this gap, this paper analyses to what extent and in what ways social sustainability is integrated into CBEBM, based on 12 cases from northern Argentina, a region with high potential for ...
Celina N. Amato +2 more
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