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Optimal error estimates of stable and stabilized Lagrange-Galerkin (LG) schemes for natural convection problems are proved under a mild condition on time increment and mesh size. The schemes maintain the common advantages of the LG method,…

数值分析 · 数学 2015-11-05 Hirofumi Notsu , Masahisa Tabata

Propensity score methods are widely used for estimating treatment effects from observational studies. A popular approach is to estimate propensity scores by maximum likelihood based on logistic regression, and then apply inverse probability…

统计方法学 · 统计学 2017-10-24 Zhiqiang Tan

We propose an analysis for the stabilized finite element methods proposed in, E. Burman, Stabilized finite element methods for nonsymmetric, noncoercive, and ill-posed problems. Part I: Elliptic equations. SIAM J. Sci. Comput., 35(6) 2013,…

数值分析 · 数学 2014-06-18 Erik Burman

We propose a posteriori error estimators for classical low-order inf-sup stable and stabilized finite element approximations of the Stokes problem with singular sources in two and three dimensional Lipschitz, but not necessarily convex,…

数值分析 · 数学 2019-01-30 Alejandro Allendes , Enrique Otarola , Abner J. Salgado

We consider the problem of learning observation models for robot state estimation with incremental non-differentiable optimizers in the loop. Convergence to the correct belief over the robot state is heavily dependent on a proper tuning of…

机器人学 · 计算机科学 2023-09-07 Mohamad Qadri , Michael Kaess

We consider a control-constrained optimal control problem subject to time-harmonic Maxwell's equations; the control variable belongs to a finite-dimensional set and enters the state equation as a coefficient. We derive existence of optimal…

数值分析 · 数学 2024-05-10 Francisco Fuica , Felipe Lepe , Pablo Venegas

Sparse estimation methods are aimed at using or obtaining parsimonious representations of data or models. They were first dedicated to linear variable selection but numerous extensions have now emerged such as structured sparsity or kernel…

机器学习 · 计算机科学 2011-11-24 Francis Bach , Rodolphe Jenatton , Julien Mairal , Guillaume Obozinski

In this paper, an abstract framework for the error analysis of discontinuous finite element method is developed for the distributed and Neumann boundary control problems governed by the stationary Stokes equation with control constraints.…

数值分析 · 数学 2021-11-01 Asha K Dond , Thirupathi Gudi , Ramesh Ch. Sau

In this paper we present a complete iteration complexity analysis of inexact first order Lagrangian and penalty methods for solving cone constrained convex problems that have or may not have optimal Lagrange multipliers that close the…

最优化与控制 · 数学 2017-03-24 Ion Necoara , Andrei Patrascu , Francois Glineur

We propose a penalized likelihood framework for estimating multiple precision matrices from different classes. Most existing methods either incorporate no information on relationships between the precision matrices, or require this…

机器学习 · 统计学 2020-03-03 Bradley S. Price , Aaron J. Molstad , Ben Sherwood

The presence of outliers can significantly degrade the performance of ellipse fitting methods. We develop an ellipse fitting method that is robust to outliers based on the maximum correntropy criterion with variable center (MCC-VC), where a…

计算机视觉与模式识别 · 计算机科学 2023-05-17 Wei Wang , Gang Wang , Chenlong Hu , K. C. Ho

We propose a new approach to mixed-frequency regressions in a high-dimensional environment that resorts to Group Lasso penalization and Bayesian techniques for estimation and inference. In particular, to improve the prediction properties of…

计量经济学 · 经济学 2020-06-12 Matteo Mogliani , Anna Simoni

Multiple equilibrium states arise in many physical systems, including various types of liquid crystal structures. Having the ability to reliably compute such states enables more accurate physical analysis and understanding of experimental…

数值分析 · 数学 2016-01-28 J. H. Adler , D. B. Emerson , P. E. Farrell , S. P. MacLachlan

We propose and analyze a reliable and efficient a posteriori error estimator for the pointwise tracking optimal control problem of the Stokes equations. This linear-quadratic optimal control problem entails the minimization of a cost…

数值分析 · 数学 2018-10-08 Alejandro Allendes , Francisco Fuica , Enrique Otárola , Daniel Quero

In this work we develop an a posteriori error analysis of a conforming mixed finite element method for solving the coupled problem arising in the interaction between a free fluid and a fluid in a poroelastic medium on isotropic meshes in…

数值分析 · 数学 2020-04-23 Koffi Wilfrid Houédanou

The paper proposes a novel calibration approach for the Orthoglide-type mechanisms based on observations of the manipulator leg parallelism during mo-tions between the prespecified test postures. It employs a low-cost measuring system…

机器人学 · 计算机科学 2007-11-13 Anatoly Pashkevich , Damien Chablat , Philippe Wenger

In this work, an adaptive edge element method is developed for an H(curl)-elliptic constrained optimal control problem. We use the lowest-order Nedelec's edge elements of first family and the piecewise (element-wise) constant functions to…

数值分析 · 数学 2021-06-30 Bowen Li , Jun Zou

We derive a fully computable aposteriori error estimator for a Galerkin finite element solution of the wave equation with explicit leapfrog time-stepping. Our discrete formulation accommodates both time evolving meshes and leapfrog based…

数值分析 · 数学 2025-06-27 Marcus J. Grote , Omar Lakkis , Carina Santos

Error estimates with optimal convergence orders are proved for a stabilized Lagrange-Galerkin scheme for the Navier-Stokes equations. The scheme is a combination of Lagrange-Galerkin method and Brezzi-Pitkaranta's stabilization method. It…

数值分析 · 数学 2015-05-26 Hirofumi Notsu , Masahisa Tabata

In the present study, an interior-exterior penalty discontinuous Galerkin finite element method (DG-FEM) is analysed for solving Elastohydrodynamic lubrication (EHL) line and point contact problems. The existence of discrete penalized…

数值分析 · 数学 2022-07-08 Peeyush Singh