Study of Functional Variable Method for Finding Exact Solutions of Nonlinear Evolution Equations
Walailak Journal of Science and Technology, 2014 A direct method, called the functional variable method, has been used to construct the exact solutions of nonlinear evolution equations (NLEEs) in mathematical physics.
Kamruzzaman KHAN, M. Ali AKBAR
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A Comparison between Fixed-Basis and Variable-Basis Schemes for Function Approximation and Functional Optimization [PDF]
, 2012 Fixed-basis and variable-basis approximation schemes are compared for the problems of function approximation and functional optimization (also known as infinite programming).
Gnecco, Giorgio +3 more
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Bayesian Adaptive Lasso for the Partial Functional Linear Spatial Autoregressive Model
Journal of Mathematics, 2022 This study introduces a partial functional linear spatial autoregressive model which can explore the relationship between a scalar spatially dependent response variable and predictive variables containing both multiple scalar covariates and a functional ...
Dengke Xu, Ruiqin Tian, Ying Lu
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Stein’s method for functions of multivariate normal random variables [PDF]
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 2020 32 pages. To appear in Annales de l'Institut Henri Poincare (B) Probabilites et Statistiques, 2019+
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Input variable selection in time-critical knowledge integration applications: A review, analysis, and recommendation paper [PDF]
, 2013 This is the post-print version of the final paper published in Advanced Engineering Informatics. The published article is available from the link below. Changes resulting from the publishing process, such as peer review, editing, corrections, structural ...
Tavakoli, S, Poslad, S, Mousavi, A
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On interpolation variants of Newton’s method for functions of several variables
Journal of Computational and Applied Mathematics, 2010 Let \(F:D\subset R^n\to R^n\) be a sufficiently differentiable function. The convergence of the iterative method \[ x^{k+1}=x^k-(\sum_{h=1}^m A_hJ_F(\eta_h(x^k)))^{-1} F(x^k),\quad k\geq 0 \] towards a certain zero of \(F\) is discussed, via generalized Newton methods. Some numerical examples are given so as to illustrate the method.
Alicia Cordero, Juan R. Torregrosa
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The Impact of Genetically Proxied AMPK Activation, the Target of Metformin, on Functional Outcome Following Ischemic Stroke [PDF]
Journal of Stroke, 2023 Background and Purpose We performed a two-sample Mendelian randomization (MR) analysis to evaluate the causal effect of genetically proxied AMP-activated protein kinase (AMPK) activation, which is the target of metformin, on functional outcome following ...
Mengmeng Wang +4 more
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PARAMETRIC SYNTHESIS OF А NON-STATIONARY AUTOMATIC CONTROL SYSTEM OF THE COURSE STABILITY OF THE CAR
Сучасні інформаційні системи, 2020 Widely used in the practice of analysis and synthesis of automatic control systems of non-stationary dynamic systems, the method of “frozen coefficients” does not have a rigorous theoretical justification and does not always lead to the desired results ...
Eugene Aleksandrov +3 more
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Combining Quadratic Penalization and Variable Selection via Forward Boosting [PDF]
, 2011 Quadratic penalties can be used to incorporate external knowledge about the association structure among regressors. Unfortunately, they do not enforce single estimated regression coefficients to equal zero.
Tutz, Gerhard, Ulbricht, Jan
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New Exponential Variable Transform Methods for Functions with Endpoint Singularities [PDF]
SIAM Journal on Numerical Analysis, 2014 The focus of this article is the approximation of functions which are analytic on a compact interval except at the endpoints. Typical numerical methods for approximating such functions depend upon the use of particular conformal maps from the original interval to either a semi-infinite or an infinite interval, followed by an appropriate approximation ...
Ben Adcock, Mark Richardson
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