Results 71 to 80 of about 93,507 (297)

Numerical differentiation on scattered data through multivariate polynomial interpolation [PDF]

open access: hybrid, 2021
Francesco Dell’Accio   +3 more
openalex   +1 more source

How to compute the constant term of a power of a Laurent polynomial efficiently [PDF]

open access: yes, 2012
We present an algorithm for efficient computation of the constant term of a power of a multivariate Laurent polynomial. The algorithm is based on univariate interpolation, does not require the storage of intermediate data and can be easily parallelized ...
Metelitsyn, Pavel
core  

Perfluorooctanoic Acid Exposure Causes Macrophage Ammonia Retention and Induces Spontaneous Miscarriages

open access: yesAdvanced Science, EarlyView.
PFOA exposure induces pregnancy loss by promoting glutaminolysis, which further causes ammonia accumulation in macrophages. Cellular ammonia retention results in damage to mitochondria and lysosomes, which leads to cell death eventually. Impaired lysosomes also decrease the secretion of the Cathepsin B (CTSB), and attenuate macrophage infiltration and ...
Yongbo Zhao   +6 more
wiley   +1 more source

Integrating Interpolation and Extrapolation: A Hybrid Predictive Framework for Supervised Learning

open access: yesApplied Sciences
In the domain of supervised learning, interpolation and extrapolation serve as crucial methodologies for predicting data points within and beyond the confines of a given dataset, respectively. The efficacy of these methods is closely linked to the nature
Bo Jiang   +4 more
doaj   +1 more source

Fast systematic encoding of multiplicity codes [PDF]

open access: yes, 2017
We present quasi-linear time systematic encoding algorithms for multiplicity codes. The algorithms have their origins in the fast multivariate interpolation and evaluation algorithms of van der Hoeven and Schost (2013), which we generalise to address ...
Coxon, Nicholas
core   +2 more sources

A Multivariate Fast Discrete Walsh Transform with an Application to Function Interpolation

open access: yes, 2008
For high dimensional problems, such as approximation and integration, one cannot afford to sample on a grid because of the curse of dimensionality. An attractive alternative is to sample on a low discrepancy set, such as an integration lattice or a ...
Dick, Josef   +2 more
core   +1 more source

Data‐Driven Printability Modeling of Hydrogels for Precise Direct Ink Writing Based on Rheological Properties

open access: yesAdvanced Science, EarlyView.
A predictive model for 3D printability is developed by integrating rheological analysis, including the Large Amplitude Oscillatory Shear (LAOS) test, with machine learning. With prediction errors under 10%, the model shows that post‐extrusion recovery controls horizontal printability, while high‐strain‐rate nozzle flow dictates vertical printability ...
Eun Hui Jeong   +7 more
wiley   +1 more source

Multivariate Smooth Symmetrized and Perturbed Hyperbolic Tangent Neural Network Approximation over Infinite Domains

open access: yesMathematics
In this article, we study the multivariate quantitative smooth approximation under differentiation of functions. The approximators here are multivariate neural network operators activated by the symmetrized and perturbed hyperbolic tangent activation ...
George A. Anastassiou
doaj   +1 more source

Reduction of decision rule of multivariate interpolation and approximation method in the problem of data classification [PDF]

open access: yesКомпьютерные исследования и моделирование, 2016
This article explores a method of machine learning based on the theory of random functions. One of the main problems of this method is that decision rule of a model becomes more complicated as the number of training dataset examples increases.
Ivan Vladimirovich Kopylov
doaj   +1 more source

Parallel sparse interpolation using small primes

open access: yes, 2015
To interpolate a supersparse polynomial with integer coefficients, two alternative approaches are the Prony-based "big prime" technique, which acts over a single large finite field, or the more recently-proposed "small primes" technique, which reduces ...
Khochtali, Mohamed   +2 more
core   +1 more source

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