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Nearly all model-reduction techniques project the governing equations onto a linear subspace of the original state space. Such subspaces are typically computed using methods such as balanced truncation, rational interpolation, the…

数值分析 · 计算机科学 2019-06-07 Kookjin Lee , Kevin Carlberg

In this paper, a non-intrusive reduced-order model (ROM) for parametric reactor kinetics simulations is presented. Time-dependent ROMs are notoriously data intensive and difficult to implement when nonlinear multiphysics phenomena are…

数值分析 · 数学 2023-03-17 Zachary K. Hardy , Jim. E. Morel

We introduce a novel nonlinear imaging method for the acoustic wave equation based on data-driven model order reduction. The objective is to image the discontinuities of the acoustic velocity, a coefficient of the scalar wave equation from…

数值分析 · 数学 2018-06-18 Vladimir Druskin , Alexander V. Mamonov , Mikhail Zaslavsky

In recent years, large-scale numerical simulations played an essential role in estimating the effects of explosion events in urban environments, for the purpose of ensuring the security and safety of cities. Such simulations are…

This paper introduces a novel data-driven convergence booster that not only accelerates convergence but also stabilizes solutions in cases where obtaining a steady-state solution is otherwise challenging. The method constructs a…

流体动力学 · 物理学 2025-04-09 Xukun Wang , Yilang Liu , Xiang Yang , Weiwei Zhang

We develop an unsupervised machine learning algorithm for the automated discovery and identification of traveling waves in spatio-temporal systems governed by partial differential equations (PDEs). Our method uses sparse regression and…

计算物理 · 物理学 2020-05-20 Ariana Mendible , Steven L. Brunton , Aleksandr Y. Aravkin , Wes Lowrie , J. Nathan Kutz

Supervised operator learning centers on the use of training data, in the form of input-output pairs, to estimate maps between infinite-dimensional spaces. It is emerging as a powerful tool to complement traditional scientific computing,…

机器学习 · 计算机科学 2024-08-14 Nicholas H. Nelsen , Andrew M. Stuart

One predominant challenge in additive manufacturing (AM) is to achieve specific material properties by manipulating manufacturing process parameters during the runtime. Such manipulation tends to increase the computational load imposed on…

机器学习 · 计算机科学 2023-10-24 Mahmoud Yaseen , Dewen Yushu , Peter German , Xu Wu

Read-only memory (ROM) provides deterministic access to predefined data mappings. Extending ROM concepts to the optical domain enables high-bandwidth, low-latency, and parallel memory access, but realizing compact and reconfigurable optical…

光学 · 物理学 2026-05-22 Ankur Singh , Akhilesh Jaiswal

Representations that can compactly and effectively capture the temporal evolution of semantic content are important to computer vision and machine learning algorithms that operate on multi-variate time-series data. We investigate such…

计算机视觉与模式识别 · 计算机科学 2018-03-30 Anoop Cherian , Suvrit Sra , Stephen Gould , Richard Hartley

We propose an efficient retraining strategy for a parameterized Reduced Order Model (ROM) that attains accuracy comparable to full retraining while requiring only a fraction of the computational time and relying solely on sparse…

机器学习 · 计算机科学 2026-02-27 Ismaël Zighed , Andrea Nóvoa , Luca Magri , Taraneh Sayadi

Cardio-mechanical models can be used to support clinical decision-making. Unfortunately, the substantial computational effort involved in many cardiac models hinders their application in the clinic, despite the fact that they may provide…

计算工程、金融与科学 · 计算机科学 2026-05-19 Robin Willems , Peter Förster , Sebastian Schöps , Olaf van der Sluis , Clemens V. Verhoosel

We present the Robotic Overlay coMmunicAtioN prOtocol (ROMANO), a lightweight, application layer overlay communication protocol for a unified sensing and control abstraction of a network of heterogeneous robots mainly consisting of low…

机器人学 · 计算机科学 2017-09-25 Pradipta Ghosh , Jason A. Tran , Daniel Dsouza , Nora Ayanian , Bhaskar Krishnamachari

Vision-based robotics often separates the control loop into one module for perception and a separate module for control. It is possible to train the whole system end-to-end (e.g. with deep RL), but doing it "from scratch" comes with a high…

机器人学 · 计算机科学 2020-11-16 Bryan Chen , Alexander Sax , Gene Lewis , Iro Armeni , Silvio Savarese , Amir Zamir , Jitendra Malik , Lerrel Pinto

The real-time prediction of chaotic systems requires a nonlinear-reduced order model (ROM) to forecast the dynamics, and a stream of data from sensors to update the ROM. Data-driven ROMs are typically built with a two-step strategy: data…

混沌动力学 · 物理学 2026-01-19 Elise Özalp , Andrea Nóvoa , Luca Magri

Reduced-order models (ROMs) that capture changes in fluid systems due to variations in parameters, such as the Reynolds number or the shape of a stationary body placed in the flow, are attracting increasing attention in engineering…

流体动力学 · 物理学 2025-12-16 Yuto Nakamura , Shintaro Sato , Naofumi Ohnishi

Time series classification problems exist in many fields and have been explored for a couple of decades. However, they still remain challenging, and their solutions need to be further improved for real-world applications in terms of both…

机器学习 · 计算机科学 2020-12-22 Zhenyu Liu , Jian Cheng

Real-world systems are often characterized by high-dimensional nonlinear dynamics, making them challenging to control in real time. While reduced-order models (ROMs) are frequently employed in model-based control schemes, dimensionality…

系统与控制 · 电气工程与系统科学 2023-09-13 John Irvin Alora , Luis A. Pabon , Johannes Köhler , Mattia Cenedese , Ed Schmerling , Melanie N. Zeilinger , George Haller , Marco Pavone

Applying Transformers to irregular time-series typically requires specializations to their baseline architecture, which can result in additional computational overhead and increased method complexity. We present the Rotary Masked…

We present an efficient data-driven regression approach for constructing reduced-order models (ROMs) of reaction-diffusion systems exhibiting pattern formation. The ROMs are learned non-intrusively from available training data of physically…

斑图形成与孤子 · 物理学 2025-08-12 Alessandro Alla , Rudy Geelen , Hannah Lu