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We propose a probabilistic way for reducing the cost of classical projection-based model order reduction methods for parameter-dependent linear equations. A reduced order model is here approximated from its random sketch, which is a set of…

数值分析 · 数学 2020-05-19 Oleg Balabanov , Anthony Nouy

Automatically tuning software configuration for optimizing a single performance attribute (e.g., minimizing latency) is not trivial, due to the nature of the configuration systems (e.g., complex landscape and expensive measurement). To deal…

分布式、并行与集群计算 · 计算机科学 2021-06-03 Tao Chen , Miqing Li

Finite Element codes used for solving the mechanical equilibrium equations in transient problems associated to (time-dependent) viscoelastic media generally relies on time-discretized versions of the selected constitutive law. Recent…

经典物理 · 物理学 2022-11-15 Stéphane André , Camille Noûs

Model order reduction aims to determine a low-order approximation of high-order models with least possible approximation errors. For application to physical systems, it is crucial that the reduced order model (ROM) is robust to any…

系统与控制 · 电气工程与系统科学 2025-05-05 Shivam Bajaj , Carolyn L. Beck , Vijay Gupta

The computational efficiency of the Finite-Difference Time-Domain (FDTD) method can be significantly reduced by the presence of complex objects with fine features. Small geometrical details impose a fine mesh and a reduced time step,…

计算工程、金融与科学 · 计算机科学 2021-06-30 Xinyue Zhang , Fadime Bekmambetova , Piero Triverio

We propose a projection-based model order reduction procedure for a general class of parametric quasi-static problems in nonlinear mechanics with internal variables. The methodology is integrated in the industrial finite element code code…

We consider shape optimization problems subject to elliptic partial differential equations. In the context of the finite element method, the geometry to be optimized is represented by the computational mesh, and the optimization proceeds by…

最优化与控制 · 数学 2019-07-12 Tommy Etling , Roland Herzog , Estefanía Loayza , Gerd Wachsmuth

In this work, a novel method with an adaptive functional basis for reduced order models (ROM) based on proper orthogonal decomposition (POD) is introduced. The method is intended to be applied in particular to hydrocarbon reservoir…

数值分析 · 数学 2021-06-23 Dmitry Voloskov , Dimitri Pissarenko

Although projection-based reduced-order models (ROMs) for parameterized nonlinear dynamical systems have demonstrated exciting results across a range of applications, their broad adoption has been limited by their intrusivity: implementing…

机器学习 · 计算机科学 2021-06-18 Zhe Bai , Liqian Peng

Energy consumption in robotic arms is a significant concern in industrial automation due to rising operational costs and environmental impact. This study investigates the use of a local reduction method to optimize energy efficiency in…

Designing and analyzing model-based RL (MBRL) algorithms with guaranteed monotonic improvement has been challenging, mainly due to the interdependence between policy optimization and model learning. Existing discrepancy bounds generally…

机器学习 · 计算机科学 2023-11-09 Tianying Ji , Yu Luo , Fuchun Sun , Mingxuan Jing , Fengxiang He , Wenbing Huang

In many contexts the modal properties of a structure change, either due to the impact of a changing environment, fatigue, or due to the presence of structural damage. For example during flight, an aircraft's modal properties are known to…

机器学习 · 计算机科学 2018-12-12 Prasad Cheema , Mehrisadat M. Alamdari , Gareth A. Vio

Local Fourier analysis is a useful tool for predicting and analyzing the performance of many efficient algorithms for the solution of discretized PDEs, such as multigrid and domain decomposition methods. The crucial aspect of local Fourier…

最优化与控制 · 数学 2020-07-29 Jed Brown , Yunhui He , Scott MacLachlan , Matt Menickelly , Stefan M. Wild

Models of complex systems often consist of multiple interconnected subsystem/component models that are developed by multi-disciplinary teams of engineers or scientists. To ensure that such interconnected models can be applied for the…

系统与控制 · 电气工程与系统科学 2023-01-23 Lars A. L. Janssen , Bart Besselink , Rob H. B. Fey , Nathan van de Wouw

In this work, we propose a new paradigm of iterative model-based reconstruction algorithms for providing real-time solution for zooming-in and refining a region of interest in medical and clinical tomographic images. This algorithmic…

图像与视频处理 · 电气工程与系统科学 2025-12-01 Junqi Tang , Guixian Xu , Jinglai Li

In additive manufacturing, the fabrication sequence has a large influence on the quality of manufactured components. While planning of the fabrication sequence is typically performed after the component has been designed, recent…

最优化与控制 · 数学 2024-04-23 Weiming Wang , Kai Wu , Fred van Keulen , Jun Wu

Nonlinear and nonaffine terms in parametric partial differential equations can potentially lead to a computational cost of a reduced order model (ROM) that is comparable to the cost of the original full order model (FOM). To address this,…

数值分析 · 数学 2024-12-04 Lijie Ji , Zhichao Peng , Yanlai Chen

Robust parameter estimation is a crucial task in several 3D computer vision pipelines such as Structure from Motion (SfM). State-of-the-art algorithms for robust estimation, however, still suffer from difficulties in converging to…

计算机视觉与模式识别 · 计算机科学 2021-02-23 Huu Le , Christopher Zach

Wide variety of engineering design tasks can be formulated as constrained optimization problems where the shape and topology of the domain are optimized to reduce costs while satisfying certain constraints. Several mathematical approaches…

最优化与控制 · 数学 2015-03-10 Igor Ostanin , Denis Zorin , Ivan Oseledets

This article discusses a newly developed online manifold learning method, subspace iteration using reduced models (SIRM), for the dimensionality reduction of dynamical systems. This method may be viewed as subspace iteration combined with a…

动力系统 · 数学 2014-07-24 Liqian Peng , Kamran Mohseni