Results 41 to 50 of about 7,310,503 (245)

Dimensions-Reduced Volterra Digital Pre-Distortion Based On Orthogonal Basis for Band-Limited Nonlinear Opto-Electronic Components

IEEE Photonics Journal, 2019
Optical communication systems often include nonlinear components, such as Mach–Zehnder modulators (MZMs). The components’ nonlinearity may have a deleterious effect on the system performance, especially when the memory effect is included ...
Hananel Faig, Yaron Yoffe, Eyal Wohlgemuth, Dan Sadot   +3 more
doaj   +1 more source

Time-Discontinuous Finite Element Analysis of Two-Dimensional Elastodynamic Problems using Complex Fourier Shape Functions [PDF]

Journal of Applied and Computational Mechanics, 2018
This paper reformulates a time-discontinuous finite element method (TD-FEM) based on a new class of shape functions, called complex Fourier hereafter, for solving two-dimensional elastodynamic problems. These shape functions, which are derived from their
Ebrahim Izadpanah, Saeed Shojaee, Saleh Hamzehei-Javaran   +2 more
doaj   +1 more source

Non‐Additive Criteria Assessment in Sustainability Evaluation of High Entropy Alloys: A Toxicity‐Weighted Framework

Advanced Engineering Materials, EarlyView.
Sustainability assessment requires methodologies that appropriately distinguish between additive and non‐additive material properties. A toxicity‐weighted scoring system is developed and applied that accounts for the disproportionate influence of highly toxic constituents through nonlinear weighting functions, providing more realistic estimates than ...
Seth Mehalic, Oladele A. Ogunseitan, Julie M. Schoenung   +2 more
wiley   +1 more source

Polynomial function selection in Kolmogorov-Arnold Networks for medical image segmentation with limited data

Научно-технический вестник информационных технологий, механики и оптики
Modern methods for processing medical images are mostly based on convolutional neural networks and transformer architectures. A major issue is the large number of parameters in existing neural network models, which leads to high computational resource ...
G. Yu. Manzhos, I. V. Tomilov, N. F. Gusarova, Yu. O. Valitova   +3 more
doaj   +1 more source

Linear Optimization of Polynomial Rational Functions: Applications for Positivity Analysis

Mathematics, 2020
In this paper, we provide tight linear lower bounding functions for multivariate polynomials given over boxes. These functions are obtained by the expansion of polynomials into Bernstein basis and using the linear least squares function.
Tareq Hamadneh, Mohammed Ali, Hassan AL-Zoubi   +2 more
doaj   +1 more source

Wearable Smart Patches on Sustainable Chitosan With Reversible Microbial Growth‐Inhibitory Properties

Advanced Functional Materials, EarlyView.
ABSTRACT Chitosan, a polysaccharide upcycled from biowaste, has long promised sustainable, biocompatible, and antimicrobial films and devices, an appeal reinforced by its recent regulatory recognition, with several chitosan‐based antibacterial dressings gaining clearance through the Food and Drug Administration's 510(k) pathway.
Jacopo Nicoletti, Kubra Kocak, Andrea Michel, Enrico Cavarzerani, Ali Raza, Petr Rohzin, Nouha Loudhaief, Saimir Frroku, Nicolò Baldovin, Hazrat Bilal, Alvise Perosa, Maurizio Selva, Flavio Rizzolio, Luca Sbuelz, Sabrina Tamburini, Domenico De Fazio, Giovanni Antonio Salvatore   +16 more
wiley   +1 more source

Analytical formulas for polynomial coefficients in radial basis function interpolation

Mathematical Modelling and Analysis
Radial basis functions (RBF) are used in many areas, including interpolation and approximation, solution of partial differential equations, neural networks, and machine learning. RBFs are based on the sum of weighted kernel functions.
Vaclav Skala
doaj   +1 more source

Lebesgue functions and Lebesgue constants in polynomial interpolation

Journal of Inequalities and Applications, 2016
The Lebesgue constant is a valuable numerical instrument for linear interpolation because it provides a measure of how close the interpolant of a function is to the best polynomial approximant of the function.
Bayram Ali Ibrahimoglu
doaj   +1 more source

APPROXIMATING SMOOTH, MULTIVARIATE FUNCTIONS ON IRREGULAR DOMAINS

Forum of Mathematics, Sigma, 2020
In this paper, we introduce a method known as polynomial frame approximation for approximating smooth, multivariate functions defined on irregular domains in $d$ dimensions, where $d$ can be arbitrary. This method is simple, and relies only on orthogonal
BEN ADCOCK, DAAN HUYBRECHS
doaj   +1 more source

On the Equivalence Between a Minimal Codomain Cardinality Riesz Basis Construction, a System of Hadamard–Sylvester Operators, and a Class of Sparse, Binary Optimization Problems [PDF]

, 2014
Piecewise, low-order polynomial, Riesz basis families are constructed such that they share the same coefficient functionals of smoother, orthonormal bases in a localized indexing subset.
Nelson, JDB
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