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Model reduction of large nonlinear systems often involves the projection of the governing equations onto linear subspaces spanned by carefully-selected modes. The criteria to select the modes relevant for reduction are usually…

动力系统 · 数学 2021-03-18 Gergely Buza , Shobhit Jain , George Haller

Parametric model order reduction by matrix interpolation allows for efficient prediction of the behavior of dynamic systems without requiring knowledge about the underlying parametric dependency. Within this approach, reduced models are…

动力系统 · 数学 2025-06-03 Sebastian Resch-Schopper , Romain Rumpler , Gerhard Müller

We introduce Mosaic, a probabilistic weather forecasting model that addresses three failure modes of spectral degradation in ML-based weather prediction: spectral damping (statistical), high-frequency aliasing (architectural), and residual…

机器学习 · 计算机科学 2026-05-19 Maksim Zhdanov , Ana Lucic , Max Welling , Jan-Willem van de Meent

Body-conduction microphone signals (BMS) bypass airborne sound, providing strong noise resistance. However, a complementary modality is required to compensate for the inherent loss of high-frequency information. In this study, we propose a…

声音 · 计算机科学 2025-08-29 Yunsik Kim , Yoonyoung Chung

This contribution focuses on the development of Model Order Reduction (MOR) for one-way coupled steady state linear thermomechanical problems in a finite element setting. We apply Proper Orthogonal Decomposition (POD) for the computation of…

We propose a new model reduction framework for problems that exhibit transport phenomena. As in the moving finite element method (MFEM), our method employs time-dependent transformation operators and, especially, generalizes MFEM to…

数值分析 · 数学 2020-10-30 Felix Black , Philipp Schulze , Benjamin Unger

Reduced order models are computationally inexpensive approximations that capture the important dynamical characteristics of large, high-fidelity computer models of physical systems. This paper applies machine learning techniques to improve…

机器学习 · 计算机科学 2015-11-11 Azam Moosavi , Razvan Stefanescu , Adrian Sandu

Characterizing and controlling nonlinear, multi-scale phenomena play important roles in science and engineering. Cluster-based reduced-order modeling (CROM) was introduced to exploit the underlying low-dimensional dynamics of complex…

数据分析、统计与概率 · 物理学 2017-01-03 Eurika Kaiser , Marek Morzynski , Guillaume Daviller , J Nathan Kutz , Bingni W Brunton , Steven L Brunton

Dynamic mode decomposition (DMD) is a versatile approach that enables the construction of low-order models from data. Controller design tasks based on such models require estimates and guarantees on predictive accuracy. In this work, we…

系统与控制 · 电气工程与系统科学 2020-03-24 Qiugang Lu , Sungho Shin , Victor M. Zavala

Reduced-order models have long been used to understand the behavior of nonlinear partial differential equations (PDEs). Naturally, reduced-order modeling techniques come at the price of computational accuracy for a decrease in computation…

数值分析 · 数学 2023-07-26 Jovan Žigić

We discuss the recent developments of projection-based model order reduction (MOR) techniques targeting Hamiltonian problems. Hamilton's principle completely characterizes many high-dimensional models in mathematical physics, resulting in…

数值分析 · 数学 2021-09-28 J. S. Hesthaven , C. Pagliantini , N. Ripamonti

Aiming to generate easy-to-handle assembly sequences for robotic assembly, this study tackles assembly sequence generation by considering two tradeoff objectives: (1) insertion conditions and (2) degrees of constraints among assembled…

机器人学 · 计算机科学 2021-11-18 Takuya Kiyokawa , Jun Takamatsu , Tsukasa Ogasawara

In the early stages of aerospace design, reduced order models (ROMs) are crucial for minimizing computational costs associated with using physics-rich field information in many-query scenarios requiring multiple evaluations. The intricacy…

机器学习 · 计算机科学 2024-02-28 Bilal Mufti , Christian Perron , Dimitri N. Mavris

It is difficult for non-autoregressive translation (NAT) models to capture the multi-modal distribution of target translations due to their conditional independence assumption, which is known as the "multi-modality problem", including the…

计算与语言 · 计算机科学 2022-07-12 Kexun Zhang , Rui Wang , Xu Tan , Junliang Guo , Yi Ren , Tao Qin , Tie-Yan Liu

We investigate model order reduction (MOR) for linear dynamical systems, where a quadratic output is defined as a quantity of interest. The system can be transformed into a linear dynamical system with many linear outputs. MOR is feasible…

数值分析 · 数学 2019-08-15 Roland Pulch , Akil Narayan

Multi-modal Magnetic Resonance Imaging (MRI) translation leverages information from source MRI sequences to generate target modalities, enabling comprehensive diagnosis while overcoming the limitations of acquiring all sequences. While…

图像与视频处理 · 电气工程与系统科学 2025-05-20 Jiyao Liu , Shangqi Gao , Yuxin Li , Lihao Liu , Xin Gao , Zhaohu Xing , Junzhi Ning , Yanzhou Su , Xiao-Yong Zhang , Junjun He , Ningsheng Xu , Xiahai Zhuang

The issue of synchronization in the power grid is receiving renewed attention, as new energy sources with different dynamics enter the picture. Global metrics have been proposed to evaluate performance and analyzed under highly simplified…

系统与控制 · 计算机科学 2019-05-20 Fernando Paganini , Enrique Mallada

The increasing penetration of renewable energy sources, characterised by low inertia and intermittent disturbances, presents substantial challenges to power system stability. As critical indicators of system stability, frequency dynamics…

系统与控制 · 电气工程与系统科学 2025-02-19 Xiao Li , Xinyi Wen , Benjamin Schäfer

This paper proposes a novel higher-order multi-scale (HOMS) computational method, which is highly targeted for efficient, high-accuracy and low-computational-cost simulation of hygro-thermo-mechanical (H-T-M) coupling problems in…

数值分析 · 数学 2025-12-11 Hao Dong , Yifei Ding , Jiale Linghu , Yufeng Nie , Yaochuang Han

In this paper, a parametric model order reduction (pMOR) technique is proposed to find a simplified system representation of a large-scale and complex thermal system. The main principle behind this technique is that any change of the…

系统与控制 · 计算机科学 2018-03-15 Daming Lou , Siep Weiland