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At the intersection of Topological Data Analysis (TDA) and machine learning, the field of cellular signal processing has advanced rapidly in recent years. In this context, each signal on the cells of a complex is processed using the…

代数拓扑 · 数学 2022-03-17 Stefania Ebli , Celia Hacker , Kelly Maggs

Time domain simulations of electromagnetic problems are highly valuable in engineering applications, as they allow for the analysis of transient behavior and broadband responses. These simulations utilize time stepping schemes, where each…

计算物理 · 物理学 2024-10-23 Ruth Medeiros , Valentin de la Rubia

Model order reduction (MOR) is an important step in the design process of integrated circuits. Specifically, the electromagnetic models extracted from modern complex designs result in a large number of passive elements that introduce…

This paper introduces the concept of abstracted model reduction: a framework to improve the tractability of structure-preserving methods for the complexity reduction of interconnected system models. To effectively reduce high-order,…

系统与控制 · 电气工程与系统科学 2024-11-21 Luuk Poort , Lars A. L. Janssen , Bart Besselink , Rob H. B. Fey , Nathan van de Wouw

We propose to combine the ideas of mass redistribution and component mode synthesis. More specifically, we employ the MacNeal method, which readily leads to a singular mass matrix, and an accordingly modified version of the Craig-Bampton…

计算工程、金融与科学 · 计算机科学 2021-11-16 Carlo Monjaraz-Tec , Johann Gross , Malte Krack

Within a structural health monitoring (SHM) framework, we propose a simulation-based classification strategy to move towards online damage localization. The procedure combines parametric Model Order Reduction (MOR) techniques and Fully…

机器学习 · 计算机科学 2021-03-29 Luca Rosafalco , Matteo Torzoni , Andrea Manzoni , Stefano Mariani , Alberto Corigliano

Context: Modern Systems of Systems (SoSs) increasingly operate in dynamic environments (e.g., smart cities, autonomous vehicles) where runtime composition -- the on-the-fly discovery, integration, and coordination of constituent systems…

软件工程 · 计算机科学 2025-10-15 Muhammad Ashfaq , Ahmed R. Sadik , Teerath Das , Muhammad Waseem , Niko Makitalo , Tommi Mikkonen

In many areas of engineering, nonlinear numerical analysis is playing an increasingly important role in supporting the design and monitoring of structures. Whilst increasing computer resources have made such formerly prohibitive analyses…

数值分析 · 数学 2020-07-02 Thomas Simpson , Nikolaos Dervilis , Eleni Chatzi

The recently developed generalized Fourier-Galerkin method is complemented by a numerical continuation with respect to the kinetic energy, which extends the framework to the investigation of modal interactions resulting in folds of the…

数值分析 · 数学 2021-01-07 Malte Krack , Lars Panning-von Scheidt , Jörg Wallaschek

Mode-based model-reduction is used to reduce the degrees of freedom of high dimensional systems, often by describing the system state by a linear combination of spatial modes. Transport dominated phenomena, ubiquitous in technical and…

数值分析 · 数学 2020-02-28 Julius Reiss

This work presents a model reduction approach for problems with coherent structures that propagate over time such as convection-dominated flows and wave-type phenomena. Traditional model reduction methods have difficulties with these…

数值分析 · 数学 2020-06-16 Benjamin Peherstorfer

The basis generation in reduced order modeling usually requires multiple high-fidelity large-scale simulations that could take a huge computational cost. In order to accelerate these numerical simulations, we introduce a FOM/ROM hybrid…

数值分析 · 数学 2021-03-17 Lihong Feng , Guosheng Fu , Zhu Wang

We introduce a novel framework to approximate the aggregate frequency dynamics of coherent generators. By leveraging recent results on dynamics concentration of tightly connected networks, and frequency weighted balanced truncation, a…

系统与控制 · 电气工程与系统科学 2021-01-05 Hancheng Min , Fernando Paganini , Enrique Mallada

Accurate readout of low-power optical higher-order spatial modes is of increasing importance to the precision metrology community. Mode sensors are used to prevent mode mismatches from degrading quantum and thermal noise mitigation…

仪器与探测器 · 物理学 2020-04-09 A. W. Jones , M. Wang , C. M. Mow-Lowry , A. Freise

We propose in this paper an adaptive reduced order modelling technique based on domain partitioning for parametric problems of fracture. We show that coupling domain decomposition and projection-based model order reduction permits to focus…

经典物理 · 物理学 2015-06-11 Pierre Kerfriden , Olivier Goury , Timon Rabczuk , Stephane Pierre-Alain Bordas

This paper proposes a composable fine-tuning method that integrates graph structural priors with modular adapters to address the high computational cost and structural instability faced by large-scale pre-trained models in multi-task…

机器学习 · 计算机科学 2025-11-07 Yuxiao Wang , Di Wu , Feng Liu , Zhimin Qiu , Chenrui Hu

In this paper we study the problem of model reduction by moment matching for stochastic systems. We characterize the mathematical object which generalizes the notion of moment to stochastic differential equations and we find a class of…

系统与控制 · 电气工程与系统科学 2021-05-06 Giordano Scarciotti , Andrew R. Teel

A novel method for the numerical prediction of the slowly varying dynamics of nonlinear mechanical systems has been developed. The method is restricted to the regime of an isolated nonlinear mode and consists of a two-step procedure: In the…

计算工程、金融与科学 · 计算机科学 2021-01-01 Malte Krack , Lars Panning-von Scheidt , Jörg Wallaschek

Dynamic mechanical metamaterials (MMs) are artificial media composed of periodic micro-structures, designed to manipulate wave propagation. Modeling and designing these materials can be computationally demanding due to the broad design…

应用物理 · 物理学 2023-07-04 Weidi Wang , Alireza Amirkhizi

Developing complex software systems is costly, time-consuming and error-prone. Model- driven development (MDD) promises to improve software productivity, timeliness, quality and cost through the transformation of abstract application models…

软件工程 · 计算机科学 2014-11-04 Hamid Bagheri