Results 41 to 50 of about 1,777,436 (249)

Radial kernels and their reproducing kernel Hilbert spaces

Journal of Complexity, 2010
Let \(R\) be a continuous convex function on a Hilbert space \(H\). In learning theory, \[ A(\lambda):= \inf_{h\in H} \{\lambda\| h\|^2+ R(h)\}- \inf_{h\in H} R(h) \] is called an approximation error function. Here, \(H\) is a reproducing kernel Hilbert space (RKHS) of functions on \(\mathbb{R}^d\), i.e., such that the evaluations \(\delta_x: h\mapsto ...
Clint Scovel, Don R. Hush, Ingo Steinwart, James Theiler   +3 more
openaire   +1 more source

Numerical solvability of generalized Bagley–Torvik fractional models under Caputo–Fabrizio derivative

Advances in Difference Equations, 2021
This paper deals with the generalized Bagley–Torvik equation based on the concept of the Caputo–Fabrizio fractional derivative using a modified reproducing kernel Hilbert space treatment.
Shatha Hasan, Nadir Djeddi, Mohammed Al-Smadi, Shrideh Al-Omari, Shaher Momani, Andreea Fulga   +5 more
doaj   +1 more source

INFORMATIVE ENERGY METRIC FOR SIMILARITY MEASURE IN REPRODUCING KERNEL HILBERT SPACES [PDF]

International Journal of Computational Intelligence Systems, 2012
In this paper, information energy metric (IEM) is obtained by similarity computing for high-dimensional samples in a reproducing kernel Hilbert space (RKHS).
Songhua Liu, Junying Zhang, Caiying Ding
doaj   +1 more source

Koopman operators with intrinsic observables in rigged reproducing kernel Hilbert spaces [PDF]

Nonlinearity
This paper presents a novel approach for estimating the Koopman operator defined on a reproducing kernel Hilbert space (RKHS) and its spectra. We propose an estimation method, what we call Jet Extended Dynamic Mode Decomposition (JetEDMD), leveraging the
Isao Ishikawa, Yuka Hashimoto, Masahiro Ikeda, Y. Kawahara   +3 more
semanticscholar   +1 more source

Reproducing kernel Hilbert spaces

, 2021
U ovom radu upoznajemo se s teorijom Hilbertovih prostora reproducirajućih jezgri te objašnjavamo matematičku pozadinu primjene jezgrenih funkcija u umjetnoj inteligenciji. Istražujemo vezu između pozitivno semidefinitnih funkcija i jezgrenih funkcija te
Buljan, Antonio
core   +2 more sources

Generalized Jacobi reproducing kernel method in Hilbert spaces for solving the Black-Scholes option pricing problem arising in financial modelling

Mathematical Modelling and Analysis, 2018
Based on the reproducing kernel Hilbert space method, a new approach is proposed to approximate the solution of the Black-Scholes equation with Dirichlet boundary conditions and introduce the reproducing kernel properties in which the initial conditions ...
Mohammadreza Foroutan, Ali Ebadian, Hadi Rahmani Fazli   +2 more
doaj   +1 more source

Koopman spectra in reproducing kernel Hilbert spaces [PDF]

, 2018
Every invertible dynamical system induces a Koopman operator, which is a linear, unitary operator acting on the space of observables. Koopman eigenfunctions represent the periodic or non-mixing component of the dynamics.
Suddhasattwa Das, D. Giannakis
semanticscholar   +1 more source

Reproducing Kernels and Variable Bandwidth

Journal of Function Spaces and Applications, 2012
We show that a modulation space of type () is a reproducing kernel Hilbert space (RKHS). In particular, we explore the special cases of variable bandwidth spaces Aceska and Feichtinger (2011) with a suitably chosen weight to provide strong enough decay ...
R. Aceska, H. G. Feichtinger
doaj   +1 more source

Relative reproducing kernel Hilbert spaces [PDF]

, 2014
We introduce a reproducing kernel structure for Hilbert spaces of functions where differences of point evaluations are bounded.
Alpay, Daniel, Volok, Dan, Jorgensen, Palle   +2 more
core   +1 more source

A Survey on Reproducing Kernel Hilbert Spaces [PDF]

Bu tezin içeriği, Matematik, İstatistik ve makine öğrenmesi gibi pek çok alanda önemli bir araç olarak kullanılan doğuran çekirdekli Hilbert uzayları ile ilgili genel bilgilerden oluşmaktadır.
Kaysı, Tuba
core   +4 more sources