Results 81 to 90 of about 4,682 (265)
On Regular Best Asymptotically Normal Estimates
The Annals of Mathematical Statistics, 1956 This study was initiated in connection with estimating parameters involved in a certain stochastic process of population growth. Because of the nature of distribution functions arising in such studies, the usual methods of estimation result in formulas which are so complex that it is difficult, if not impossible, to obtain explicit solutions for the ...
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Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous +2 more
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Robustness Property of Robust-BD Wald-Type Test for Varying-Dimensional General Linear Models
Entropy, 2018 An important issue for robust inference is to examine the stability of the asymptotic level and power of the test statistic in the presence of contaminated data.
Xiao Guo, Chunming Zhang
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We apply proof mining techniques to obtain quantitative and qualitative results on asymptotic and T-asymptotic regularity for the inexact generalized Halpern iteration, a viscosity-type extension of an iteration recently studied by Kanzow and Shehu. Specializing our results to the Kanzow-Shehu iteration and the sequential averaging method (SAM) yields ...
Dumitru, Nicoleta, Leustean, Laurentiu
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Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
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Parabolic transmission problems across irregular layers
Le Matematiche, 2007 We study second order transmission problems across either a fractal surface or across the corresponding pre-fractal surface. Existence uniqueness and regularity results for the strict solution in both cases are proved.The asymptotic behaviour of the ...
Maria Rosaria Lancia
doaj
Asymptotic analysis for vanishing acceleration in a thermoviscoelastic system
Abstract and Applied Analysis, 2005 We have investigated a dynamic thermoviscoelastic system (2003), establishing existence and uniqueness results for a related initial and boundary values problem.
Elena Bonetti, Giovanna Bonfanti
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On the Asymptotic Behavior of Regularized Operator Families
Semigroup Forum, 2006 Let us assume that \((R(t))_{t\geq 0}\) is an (a,k)-regularized resolvent family with generator A on a Banach space X. In this work we study different types of asymptotic behavior of R(t) for large values of t.
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ChemPhysChem, Volume 26, Issue 6, March 15, 2025.What happens, if in the synthesis of flat silver platelets, the slow deposition of silver along twinning faults is disturbed by the addition of a nobler metal? We have looked into it and found a way to fine‐tune the metal deposition in lateral and vertical direction.
Jonas Kluitmann +3 more
wiley +1 more source
On regular growth and asymptotic stability
Rocky Mountain Journal of Mathematics, 1986 The authors consider differential equations of the form (*) \(y''+q(x)y=0\) where q(x) is right-continuous, nondecreasing and such that \(\lim_{x\to X}q(x)=+\infty.\) They assume that for some solution y(x) of (*), \(\lim_{x\to X}y(x)\neq 0.\) Then, they prove that the growth of q(x) is ``irregular'', in a precise technical sense.
Atkinson, F.V., Macki, J.W.
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