Results 51 to 60 of about 5,766,339 (246)
Learning sparse mixture‐of‐experts generalized linear models in ultrahigh dimensions
Canadian Journal of Statistics, EarlyView.Abstract Motivated by the challenges of heterogeneity and high dimensionality in the analysis of modern data, we investigate continuous regularization methods for learning sparse mixture‐of‐experts generalized linear models (MoE‐GLM). Although there are foundational results about regularized estimators in a broad class of regression models including ...
Pengqi Liu, Abbas Khalili
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Cauchy problem for the hyperbolic system with mixed derivative
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 Cauchy problem for the hyperbolic system with mixed derivative is considered. The given system is transformed to the triangular or diagonal form for the further equations separation.
E. A. Kozlova
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Front Propagation Through a Perforated Wall
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki +2 more
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Журнал Белорусского государственного университета: Математика, информатика, 2018 The Cauchy problem for stochastic differential system with measures is considered in the paper. Finite-difference with averaging system of stochastic differential equations with correspondence to Cauchy problem is investigated.
Artsiom Y. Rusetski
doaj
On the approximate solution of the Cauchy problem for the Helmholtz equation on the plane [PDF]
Computational Algorithms and Numerical DimensionsIn this paper, approximate solutions of the Cauchy problem for the Helmholtz equation on a two-dimensional bounded region are found. The problem under consideration belongs to the problems of mathematical physics, in which there is no continuous ...
Davron Juraev +3 more
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A Geometric Characterization of Steady Laminar Flow
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We study the steady states of the Euler equations on the periodic channel or annulus. We show that if these flows are laminar (layered by closed non‐contractible streamlines which foliate the domain), then they must be either parallel or circular flows.
Theodore D. Drivas, Marc Nualart
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Planar Coulomb Gas on a Jordan Arc at Any Temperature
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We study a planar Coulomb gas confined to a sufficiently smooth Jordan arc γ$\gamma$ in the complex plane, at inverse temperature β>0$\beta > 0$. Let Z¯nβ(γ)=Znβ(γ)((2cap(γ))βn2/2e(1−β/2)n(H(νe,γ)−H(νe,I)),$$\begin{equation*} \bar{Z}_{n}^\beta (\gamma)=\frac{Z_n^\beta (\gamma)}{((2\text{cap}(\gamma))^{\beta n^2/2}e^{(1-\beta /2)n(H(\nu _{e ...
K. Courteaut, K. Johansson, F. Viklund
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Современная математика: Фундаментальные направления, 2019 In this paper, we consider the restoration problem for solutions of the generalized Cauchy- Riemann system in a multidimensional spatial domain using their values on a piece of the boundary of the domain, i. e., the Cauchy problem.
E N Sattorov, F E Ermamatova
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Paradigmatic well posedness in some generalized characteristic Cauchy problems [PDF]
By means of convenient regularization for an ill posed Cauchy problem, we deï¬ne an associated generalized problem and discuss the conditions for the solvability of it.
Emmanuel Allaud +4 more
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Clinical Pharmacology &Therapeutics, EarlyView.Evidence generation for antihyperglycemic therapies in pediatric type 2 diabetes mellitus (T2DM) remains challenging, with most randomized trials failing to demonstrate statistically significant reductions in glycated hemoglobin (HbA1c), partly due to substantial between‐subject variability.
Pieter J. Colin +2 more
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