Results 241 to 250 of about 228,037 (275)

Data-driven dynamic interpolation and approximation

at - Automatisierungstechnik, 2022
The behavioral system theory and in particular a result that became known as the "fundamental lemma" give the theoretical foundation for nonparameteric representations of linear time-invariant systems based on Hankel matrices constructed from data. These
I. Markovsky, F. Dörfler
semanticscholar   +1 more source

Networks for approximation and learning

Proceedings of the IEEE, 1990
T. Poggio, F. Girosi
semanticscholar   +3 more sources

Theory of the Optimum Interpolation Approximation in a Shift-Invariant Wavelet and Scaling Subspace

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 2007
In the main part of this paper, we present a systematic discussion for the optimum interpolation approximation in a shift-invariant wavelet and/or scaling subspace. In this paper, we suppose that signals are expressed as linear combinations of a large number of base functions having unknown coefficients.
Y. KIDA, T. KIDA
openaire   +1 more source

On the Limit Regularity in Sobolev and Besov Scales Related to Approximation Theory

Journal of Fourier Analysis and Applications, 2019
We study the interrelation between the limit $$L_p(\Omega )$$ L p ( Ω ) -Sobolev regularity $$\overline{s}_p$$ s ¯ p of (classes of) functions on bounded Lipschitz domains $$\Omega \subseteq \mathbb {R}^d$$ Ω ⊆ R d , $$d\ge 2$$ d ≥ 2 , and the limit ...
Petru A. Cioica-Licht, M. Weimar
semanticscholar   +1 more source

Least squares 2D bi-cubic spline approximation: Theory and applications

Measurement, 2018
Smooth surface approximation plays an important role in many applications. As an extension of the 2D bi-cubic spline interpolation, we propose the least squares 2D bi-cubic spline approximation (LS-BICSA).
A. Amiri-Simkooei, M. Hosseini-Asl, A. Safari   +2 more
semanticscholar   +1 more source

Some Interpolation Analogues as a Tool for Signals Approximation in Network Technologies

2024 IEEE 5th International Conference on Advanced Trends in Information Theory (ATIT)
Processing of periodic signals is an important element of research in a number of applied disciplines. This includes astronomy, medicine, economics, network technologies, etc.
O. Koval, Oleg Barabash, Yuriy Kharkevych, Andriy Makarchuk, I. Kal’chuk, Galyna Kharkevych   +5 more
semanticscholar   +1 more source

Faster Diffusion Models via Higher-Order Approximation

arXiv.org
In this paper, we explore provable acceleration of diffusion models without any additional retraining. Focusing on the task of approximating a target data distribution in $\mathbb{R}^d$ to within $\varepsilon$ total-variation distance, we propose a ...
Gen Li, Yuchen Zhou, Yuting Wei, Yuxin Chen   +3 more
semanticscholar   +1 more source

General superconvergence for kernel-based approximation

arXiv.org
Kernel interpolation is a fundamental technique for approximating functions from scattered data, with a well-understood convergence theory when interpolating elements of a reproducing kernel Hilbert space.
Toni Karvonen, G. Santin, T. Wenzel
semanticscholar   +1 more source

On approximation theory of nonlocal differential operators

, 2021
Haicheng Yu, Shaofan Li
semanticscholar   +1 more source

Approximation and interpolation methods in the theory of entire functions of several variables

1972
Artykuł w: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica. Vol. 22/23/24 (1968/1969/1970), s. 7-15 ; streszcz. pol., ros. ; Artykuł w: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica. Vol. 22/23/24 (1968/1969/1970), s. 7-15 ; streszcz. pol., ros.
openaire   +1 more source