Results 271 to 280 of about 13,291 (315)
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Rates of approximation by neural network interpolation operators
Applied Mathematics and Computation, 2022. We construct neural network interpolation operators with some newly defined activation functions, and give the approximation rate by the operators for continuous functions.
Yunyou Qian, Dansheng Yu
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Data-driven dynamic interpolation and approximation
at - Automatisierungstechnik, 2022The 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
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Theory of the Optimum Interpolation Approximation in a Shift-Invariant Wavelet and Scaling Subspace
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 2007In 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.
Yuichi Kida, Takuro Kida
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On the Limit Regularity in Sobolev and Besov Scales Related to Approximation Theory
Journal of Fourier Analysis and Applications, 2019We 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
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Least squares 2D bi-cubic spline approximation: Theory and applications
Measurement, 2018Smooth 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 +2 more
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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 +5 more
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Theory of extended interpolation approximation and upper and lower bounds of error
Electronics and Communications in Japan (Part III: Fundamental Electronic Science), 1990AbstractAssume that signal f(t) is impressed on N parallel time‐invariant linear networks Hm(w)(m=1∼N), and consider the uniformly sampled values gm(nT)(m = 1∼N; n = 0, ±1, ±2,; T <0) of the output signal gm(t)(m=l∼N). This paper discusses the following problem from a unified viewpoint.
Takuro Kida, Leopoldo Hideki Yoshioka
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Use of approximate scattering theories as interpolation guides
The Journal of Chemical Physics, 1992A simple method is given for using a fast but not necessarily accurate scattering approximation to interpolate the results of an exact calculation. The goal is to minimize the number of points where the expensive, exact calculation must be done. The approximate theory is used to remove the rapidly varying parts of the exact S-matrix to obtain a slowly ...
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Faster Diffusion Models via Higher-Order Approximation
arXiv.orgIn 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 +3 more
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