English
Related papers

Related papers: An error indicator-based adaptive reduced order mo…

200 papers

Computerized adaptive testing is becoming increasingly popular due to advancement of modern computer technology. It differs from the conventional standardized testing in that the selection of test items is tailored to individual examinee's…

Statistics Theory · Mathematics 2009-06-11 Hua-Hua Chang , Zhiliang Ying

High temperatures and structural deformations can compromise the functionality and reliability of new components for mechatronic systems. Therefore, high-fidelity simulations (HFS) are employed during the design process, as they enable a…

With the popularity of electric vehicles, the demand for lithium-ion batteries is increasing. Temperature significantly influences the performance and safety of batteries. Battery thermal management systems can effectively control the…

Machine Learning · Computer Science 2026-01-07 Zheng Liu , Yuan Jiang , Yumeng Li , Pingfeng Wang

In-service structural health monitoring is a so far rarely exploited, yet potent option for early-stage crack detection and identification in train wheelset axles. This procedure is non-trivial to enforce on the basis of a purely…

Computational Engineering, Finance, and Science · Computer Science 2026-02-17 Ehsan Naghizadeh , Eleni Chatzi , Paolo Tiso

In this paper we compute families of reduced order models that match a prescribed set of moments of a highly dimensional linear time-invariant system. First, we fully parametrize the models in the interpolation points and in the free…

Optimization and Control · Mathematics 2018-11-20 I. Necoara , T. C. Ionescu

This study explores reduced-order modeling for analyzing the time-dependent diffusion-deformation of hydrogels. The full-order model describing hydrogel transient behavior consists of a coupled system of partial differential equations in…

Computational Engineering, Finance, and Science · Computer Science 2024-06-18 Gopal Agarwal , Jorge-Humberto Urrea-Quintero , Henning Wessels , Thomas Wick

We present an enhanced version of the parametric nonlinear reduced order model for shape imperfections in structural dynamics we studied in a previous work [1]. The model is computed intrusively and with no training using information about…

Computational Engineering, Finance, and Science · Computer Science 2022-01-02 Jacopo Marconi , Paolo Tiso , Davide E. Quadrelli , Francesco Braghin

Thermal analysis is crucial in 3D-IC design due to increased power density and complex heat dissipation paths. Although operator learning frameworks such as DeepOHeat~\cite{liu2023deepoheat} have demonstrated promising preliminary results…

Machine Learning · Computer Science 2025-10-13 Xinling Yu , Ziyue Liu , Hai Li , Yixing Li , Xin Ai , Zhiyu Zeng , Ian Young , Zheng Zhang

In distributed optimization, the communication of model updates can be a performance bottleneck. Consequently, gradient compression has been proposed as a means of increasing optimization throughput. In general, due to information loss,…

Optimization and Control · Mathematics 2025-07-17 Thomas Flynn , Patrick Johnstone , Shinjae Yoo

Many reduced order models are neither robust with respect to the parameter changes nor cost-effective enough for handling the nonlinear dependence of complex dynamical systems. In this study, we put forth a robust machine learning framework…

Fluid Dynamics · Physics 2017-05-25 Omer San , Romit Maulik

High-entropy alloys have attracted attention for their exceptional mechanical properties and thermal stability. However, the combinatorial explosion in the number of possible elemental compositions renders traditional trial-and-error…

Materials Science · Physics 2025-04-30 Ryo Murakami , Seiji Miura , Akihiro Endo , Satoshi Minamoto

We show how spectral submanifold theory can be used to construct reduced-order models for harmonically excited mechanical systems with internal resonances. Efficient calculations of periodic and quasi-periodic responses with the…

Dynamical Systems · Mathematics 2022-08-09 Mingwu Li , Shobhit Jain , George Haller

Frequency-limited model order reduction aims to approximate a high-order model with a reduced-order model that maintains high fidelity within a specific frequency range. Beyond this range, a decrease in accuracy is acceptable due to the…

Systems and Control · Electrical Eng. & Systems 2023-06-27 Umair Zulfiqar , Xin Du , Qiuyan Song , Zhi-Hua Xiao , Victor Sreeram

Additive Manufacturing (AM) is a manufacturing paradigm that builds three-dimensional objects from a computer-aided design model by successively adding material layer by layer. AM has become very popular in the past decade due to its…

Machine Learning · Computer Science 2019-08-12 Arindam Paul , Mojtaba Mozaffar , Zijiang Yang , Wei-keng Liao , Alok Choudhary , Jian Cao , Ankit Agrawal

We investigate the use of reduced-order modelling to run discrete element simulations at higher speeds. Taking a data-driven approach, we run many offline simulations in advance and train a model to predict the velocity field from the mass…

Computational Physics · Physics 2021-03-02 Erik Wallin , Martin Servin

Model order reduction encompasses mathematical techniques aimed at reducing the complexity of mathematical models in simulations while retaining the essential characteristics and behaviors of the original model. This is particularly useful…

Quantum Physics · Physics 2026-04-21 Wentao Fan , Hakan E. Türeci

Despite the success of model predictive control (MPC), its application to high-dimensional systems, such as flexible structures and coupled fluid/rigid-body systems, remains a largely open challenge due to excessive computational…

Systems and Control · Computer Science 2019-05-03 Joseph Lorenzetti , Benoit Landry , Sumeet Singh , Marco Pavone

Reduced-order modeling techniques, including balanced truncation and $\mathcal{H}_2$-optimal model reduction, exploit the structure of linear dynamical systems to produce models that accurately capture the dynamics. For nonlinear systems…

Optimization and Control · Mathematics 2022-01-17 Samuel E. Otto , Alberto Padovan , Clarence W. Rowley

Complex engineering models are typically computationally demanding and defined by a high-dimensional parameter space challenging the comprehensive exploration of parameter effects and design optimization. To overcome this curse of…

Applications · Statistics 2024-03-01 Corey Arndt , Cody Crusenberry , Bozhi Heng , Rochelle Butler , Stephanie TerMaath

In this paper we propose a solution to the problem of parameter estimation of nonlinearly parameterized regressions--continuous or discrete time--and apply it for system identification and adaptive control. We restrict our attention to…

Optimization and Control · Mathematics 2019-10-18 Romeo Ortega , Vladislav Gromov , Emmanuel Nuño , Anton Pyrkin , Jose Guadalupe Romero