Results 41 to 50 of about 4,353,527 (290)

Considering a non-polynomial basis for local kernel regression problem [PDF]

, 2016
A common used as solution for local kernel nonparametric regression problem is given using polynomial regression. In this study, we demonstrated the estimator and properties using maximum likelihood estimator for a non-polynomial basis such B-spline to ...
Habshah Midi, Midi, Habshah, Divo Dharma Silalahi, Silalahi, Divo Dharma   +3 more
core   +1 more source

Change of Basis Transformation from the Bernstein Polynomials to the Chebyshev Polynomials of the Fourth Kind

Mathematics, 2019
In this paper, the change of bases transformations between the Bernstein polynomial basis and the Chebyshev polynomial basis of the fourth kind are studied and the matrices of transformation among these bases are constructed. Some examples are given.
Abedallah Rababah, Esraa Hijazi
doaj   +1 more source

Solving change of basis from Bernstein to Chebyshev polynomials

Examples and Counterexamples
We provide two closed-form solutions to the change of basis from Bernstein polynomials to shifted Chebyshev polynomials of the fourth kind and show them to be equivalent by applying Zeilberger’s algorithm. The first solution uses orthogonality properties
D.A. Wolfram
doaj   +1 more source

Exploring Gröbner bases for practical problem-solving applications [PDF]

Computational Algorithms and Numerical Dimensions
Gröbner bases serve as a crucial theoretical cornerstone in contemporary (polynomial) ring theory. The development of Gröbner basis theory originated from efforts to address theoretical issues related to ideals in polynomial rings and to solve systems of
Hamed Farahani
doaj   +1 more source

保形分段三次多项式曲线的形状分析(Construction and analysis of a new class of shape-preserving piecewise cubic polynomial curves)

Zhejiang Daxue xuebao. Lixue ban, 2018
This paper proposes a new class of shape-preserving piecewise cubic polynomial curves with both local and global shape control parameters. By presetting the properties of its basis functions and then solving equations,a set of polynomial basis functions ...
YANLanlan(严兰兰), FANJiqiu(樊继秋)   +1 more
doaj   +1 more source

Multi-element stochastic reduced basis methods [PDF]

, 2007
This paper presents mutli-element Stochastic Reduced Basis Methods (ME-SRBMs) for solving linear stochastic partial differential equations. In ME-SRBMs, the domain of definition of the random inputs is decomposed into smaller subdomains or random ...
Surya Mohan, P., Andy J. Keane, Keane, Andy J., Prasanth B. Nair, P. Surya Mohan, Nair, Prasanth B.   +5 more
core   +1 more source

Evaluation of Digital Technologies for Home‐Based Assessment in People With Amyotrophic Lateral Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Digital technologies hold promise for transforming healthcare by enhancing personalized treatments and offer valuable opportunities to improve patient care. Here, we evaluated several novel, self‐administered, home‐based, digital endpoints for their association with corresponding conventional standard clinical measures (primary) in ...
Arne Mueller, Vanessa Vallejo, Mónica Povedano Panadés, Orla Hardiman, Véronique Danel‐Brunaud, Senda Ajroud‐Driss, Philippe Couratier, Jeremy Shefner, Anna Gokey, Mike DiCesare, Erin Lennox, Jens Praestgaard, Lucie Brujin, Peggy Allred, Ram Miller   +14 more
wiley   +1 more source

T1 Over Squared Proton Density Ratio to Characterize Multiple Sclerosis Lesions

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Differentiating remyelinated from demyelinated lesions in MS remains challenging without histological confirmation. This study introduces the T1‐to‐PD2 ratio (TPR) imaging approach and evaluates its ability to characterize MS lesions alongside other quantitative MRI (qMRI) metrics. Methods Thirty individuals with MS (mean age: 47.5 ± 
Sarah J. Wright, Scotty G. McKay, Jean Ramos Bou, Fen Bao, Vivian B. Truong, Chenyang Li, Li Jiang, Anza B. Memon, E. Mark Haacke, Yulin Ge, Yongsheng Chen   +10 more
wiley   +1 more source

Bi‐ and Mono‐Allelic RFC1 Expansion in a North American Cohort With Idiopathic Axonal Neuropathy

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective RFC1 biallelic repeat expansion is increasingly recognized as a cause of chronic idiopathic axonal polyneuropathy (CIAP), but it remains challenging to know who to test. This study aims to determine the prevalence of biallelic and monoallelic RFC1 expansions and their corresponding neuropathy phenotypes in CIAP patients and identify ...
Amro M. Stino, Lavanya Muthukumar, Evan L. Reynolds, Peter Todd, Sinem Ovunc, Sheng Chih Jin, Zitian Tang, Simone Thomas, PNRR Study Group, Ahmet Höke, Brian C. Callaghan, Sarah Berth, Vinay Chaudhry, David Cornblath, Leana Doherty, Lindsey Hayes, Hristelina Ilieva, Thomas Lloyd, Mohammad Khoshnoodi, Brett McCray, Brett Morrison, Bipasha Mukherjee‐Clavin, Lyle Ostrow, Michael Polydefkis, Ricardo Roda, Charlotte Sumner   +25 more
wiley   +1 more source

CALCULATION OF THE MINIMUM DEGREE OF A POLYNOMIAL OVER A FINITE FIELD FOR A VECTOR BOOLEAN MAP GIVEN IN ANF

Современные информационные технологии и IT-образование, 2019
We consider vector mappings over the set of 0 and 1 given by the set of Boolean functions. Boolean functions included in the map are given in ANF. Having fixed the rule according to which the binary vectors are associated with the elements of a finite ...
Sergey A. Belov
doaj   +1 more source