Results 51 to 60 of about 93,507 (297)

The Representation of D-Invariant Polynomial Subspaces Based on Symmetric Cartesian Tensors

Axioms, 2021
Multivariate polynomial interpolation plays a crucial role both in scientific computation and engineering application. Exploring the structure of the D-invariant (closed under differentiation) polynomial subspaces has significant meaning for multivariate
Xue Jiang, Kai Cui
doaj   +1 more source

Sparse multivariate polynomial interpolation in the basis of Schubert polynomials

, 2016
Schubert polynomials were discovered by A. Lascoux and M. Sch\"utzenberger in the study of cohomology rings of flag manifolds in 1980's. These polynomials generalize Schur polynomials, and form a linear basis of multivariate polynomials.
Mukhopadhyay, Priyanka, Qiao, Youming
core   +1 more source

Serum Soluble Mediator Signatures of Lupus Nephritis: Histologic Features and Response to Treatment

Arthritis Care &Research, EarlyView.
Objective Lupus nephritis (LN) management remains challenging, and novel noninvasive biomarkers are needed. This study quantified serum soluble mediators in the Accelerating Medicines Partnership (AMP) LN cohort to identify biomarkers of histologic features and treatment response.
Andrea Fava, Catriona A. Wagner, Carla J. Guthridge, Susan Macwana, Wade DeJager, Melissa E. Munroe, Peter Izmirly, H. Michael Belmont, Betty Diamond, Anne Davidson, Paul J. Utz, Michael H. Weisman, Philip M. Carlucci, Maria Dall'Era, Kenneth Kalunian, Chaim Putterman, Jennifer Anolik, Jennifer L. Barnas, David Wofsy, Diane Kamen, Richard A. Furie, Deepak A. Rao, the Accelerating Medicines Partnership Rheumatoid Arthritis and Systemic Lupus Erythematosus Network, Chun‐Hao Lee, Derek Fine, Manny Monroy‐Trujillo, Ummara Shah, Mariko Ishimori, Robert M. Clancy, Michael Belmont, Ming Wu, Nicole Bornkamp, Evan Der, Beatrice Goilav, Nicole Jordan, Daniel Schwartz, James Pullman, David Wofsy, Dawn Smilek, Patti Tosta, Matthias Kretzler, Celine C. Berthier, E. Steve Woodle, Dave Hildeman, Michael Brenner, Michelle Petri, Joel M. Guthridge, Jill Buyon, Judith A. James   +48 more
wiley   +1 more source

Unleashing the Power of Machine Learning in Nanomedicine Formulation Development

Advanced Functional Materials, EarlyView.
A random forest machine learning model is able to make predictions on nanoparticle attributes of different nanomedicines (i.e. lipid nanoparticles, liposomes, or PLGA nanoparticles) based on microfluidic formulation parameters. Machine learning models are based on a database of nanoparticle formulations, and models are able to generate unique solutions
Thomas L. Moore, Cristiano Pesce, Antonietta Greco, Claudia Pisante, Greta Avancini, Valentina Di Francesco, Yosi Shamay, Paolo Decuzzi   +7 more
wiley   +1 more source

Interpolation based on context modeling for hierarchical compression of multidimensional signals [PDF]

Компьютерная оптика, 2018
Context algorithms for interpolation of multidimensional signals in the compression problem are researched. A hierarchical compression method for arbitrary dimension signals is considered.
Mikhael Gashnikov
doaj   +1 more source

Convergence and error estimates for pseudo-polyharmonic div-curl and elastic interpolation on a bounded domain

Journal of Numerical Analysis and Approximation Theory, 2023
This paper establishes convergence rates and error estimates for the pseudo-polyharmonic div-curl and elastic interpolation. This type of interpolation is based on a combination of the divergence and the curl of a multivariate vector field and ...
Mohammed-Najib Benbourhim, Abderrahman Bouhamidi, Pedro Gonzalez-Casanova   +2 more
doaj   +1 more source

Multivariate polyharmonic spline interpolation

, 1981
Let (OMEGA) be an open, bounded set in (//R)('n), and let A be a finite subset of (OMEGA). For f in H('k)((OMEGA)), where k > n/2, a spline s satisfying (-1)('k)(DELTA)('k)s(x) = 0 for x in (OMEGA)-A and solving the interpolation problem:; s(a) = f(a) a(epsilon)A; (f-s) (epsilon) H(,0)('k)((OMEGA));is shown to exist and to exhibit many of the ...
Evelyn Dianne Hatton Potter
openalex   +5 more sources

Extensive Review of Materials for Next‐Generation Transparent Batteries and Their Design Strategies

Advanced Functional Materials, EarlyView.
Review explores emerging materials and design strategies for transparent batteries, examining electrodes, electrolytes, separators, and device architectures optimized for high electrochemical performance, mechanical flexibility, and optical transparency.
Atul Kumar Mishra, Shuvaraj Ghosh, Malkeshkumar Patel, Sourov Hossain, Ju‐Hyung Yun, Joondong Kim   +5 more
wiley   +1 more source

A comparative study between kriging and adaptive sparse tensor-product methods for multi-dimensional approximation problems in aerodynamics design*

ESAIM: Proceedings and Surveys, 2015
The performances of two multivariate interpolation procedures are compared using functions that are either synthetic or coming from a shape optimization problem in aerodynamics. The aim is to evaluate the efficiency of adaptive sparse
Chkifa Abdellah, Cohen Albert, Passaggia Pierre-Yves, Peter Jacques   +3 more
doaj   +1 more source

Multivariate Refinable Interpolating Functions

Applied and Computational Harmonic Analysis, 1999
The author gives an algorithm for the construction of refinable interpolating functions for an arbitrary dilation matrix. This construction of refinable interpolating functions is an intermediate step in the construction of orthonormal wavelet bases and is of interest in its own right.
openaire   +2 more sources