Results 71 to 80 of about 1,024,930 (374)

On kernel engineering via Paley–Wiener [PDF]

, 2010
A radial basis function approximation takes the form $$s(x)=\sum_{k=1}^na_k\phi(x-b_k),\quad x\in {\mathbb{R}}^d,$$ where the coefficients a 1,…,a n are real numbers, the centres b 1,…,b n are distinct points in ℝ d , and the function φ:ℝ d →ℝ is ...
B. J. C. Baxter, B.J.C. Baxter, B.J.C. Baxter, H. Wendland, I.J. Schoenberg, I.R.H. Jackson, K. Ball, M.D. Buhmann, M.D. Buhmann, V. Milman, W. Rudin, W.F. Donoghue Jr.   +11 more
core   +1 more source

Characterization of Defect Distribution in an Additively Manufactured AlSi10Mg as a Function of Processing Parameters and Correlations with Extreme Value Statistics

Advanced Engineering Materials, EarlyView.
Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt, Varma Kvvssn, Hossein Laieghi, Zia Uddin, Peyman Ansari, E. Kıvanç Sadak, Can Barış Toprak, Hüseyin Kızıl, Enrico Salvati   +8 more
wiley   +1 more source

A Space–Time Collocation Method Using the Method of Particular Solutions with Polynomial Basis Functions for Solving the Fisher–KPP Equation

Mathematics
The method of particular solutions (MPS) has been widely applied for solving various types of partial differential equations. In this paper, the space–time collocation technique is implemented using MPS with polynomial basis functions (MPS-PBF) to solve ...
Thir Dangal, Balaram Khatri Ghimire, Anup Lamichhane   +2 more
doaj   +1 more source

Interpolation and Best Approximation for Spherical Radial Basis Function Networks

Abstract and Applied Analysis, 2013
Within the conventional framework of a native space structure, a smooth kernel generates a small native space, and radial basis functions stemming from the smooth kernel are intended to approximate only functions from this small native space.
Shaobo Lin, Jinshan Zeng, Zongben Xu
doaj   +1 more source

Trace Nickel Activated Biphasic Core‐CuOii/Shell‐CuOi Secondary Microspheres Enable Room Temperature Parts‐Per‐Trillion‐Level NO2 Detection

Advanced Engineering Materials, EarlyView.
An idea of designing novel sensors is proposed by creating appropriate Schottky barriers and vacancies between isomorphous Core‐CuOii/ Shell‐CuOi secondary microspheres and enhancing catalytic and spill‐over effects, and electronegativity via spontaneous biphasic separation, self‐assembly, and trace‐Ni‐doping.
Bala Ismail Adamu, Peipei Chen, Shafia Mukhtar Ibrahim, Mukhtar Lawan Adam, Attia Falak, Mokhotjwa Simon Dhlamini, Hanfu Wang, Lingxiang Jiang, Weiguo Chu   +8 more
wiley   +1 more source

Radial Basis Function Networks [PDF]

, 2016
Radial Basis Function networks, commonly known as RBF, can also be employed in almost every kind of problems solved by MLPs, including those involving curve fitting and pattern classification.
Ivan Nunes da Silva, Danilo Hernane Spatti, Rogerio Andrade Flauzino, Luisa Helena Bartocci Liboni, Silas Franco dos Reis Alves   +4 more
openaire   +2 more sources

Making conditionally negative definite radial basis function interpolation well-conditioned by adding cardinal basis functions

Ain Shams Engineering Journal, 2018
A class of basis functions so called well-conditioned RBF (WRBFs) has been introduced. This basis has been manipulated by adding cardinal functions to the conditionally negative definite RBFs of order 1, such as Multiquadric functions 1+(∊r)2 (MQ) and ...
Saeed Kazem, Edmund A. Chadwick, Ali Hatam   +2 more
doaj   +1 more source

Wendland functions with increasing smoothness converge to a Gaussian

, 2013
The Wendland functions are a class of compactly supported radial basis functions with a user-specified smoothness parameter. We prove that with a linear change of variables, both the original and the "missing" Wendland functions converge uniformly to a ...
Chernih, A., Sloan, I. H., Womersley, R. S.   +2 more
core   +1 more source

Recent Advancements in Bulk Processing of Rare‐Earth‐Free Hard Magnetic Materials and Related Multiscale Simulations

Advanced Engineering Materials, EarlyView.
This article provides an overview of recent advancements in bulk processing of rare‐earth‐free hard magnetic materials. It also addresses related simulation approaches at different scales. The research on rare‐earth‐free magnetic materials has increased significantly in recent years, driven by supply chain issues, environmental and social concerns, and
Daniel Scheiber, Andrea Bachmaier
wiley   +1 more source

Interactions between Molten High‐Silicon Electrical Steels and Carbon‐Bonded MgO Refractories Based on Recyclates

Advanced Engineering Materials, EarlyView.
This study examines how several molten high‐silicon electrical steels interact with both conventional and recycled MgO–C refractories. For this, various immersion experiments are conducted. In addition to infiltration, a number of mechanisms are identified and explained that control the corrosion of the refractory material.
Lukas Neubert, Matheus Roberto Bellé, Anton Yehorov, Anhelina Mospan, Till M. J. Stadtmüller, Seetharaman Sridhar, Christos G. Aneziris, Olena Volkova   +7 more
wiley   +1 more source