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A model-order reduction framework for the meshless smoothed-particle hydrodynamics (SPH) method is presented. The proposed framework introduces the concept of modal reference spaces to overcome the challenges of discovering low-dimensional…

Accurate assessment of anthropogenic climate change relies on historical instrumental data, yet observations from the early 20th century are sparse, fragmented, and uncertain. Conventional reconstructions rely on disparate statistical…

Deep learning can accurately represent sub-grid-scale convective processes in climate models, learning from high resolution simulations. However, deep learning methods usually lack interpretability due to large internal dimensionality,…

Projection-based model reduction is among the most widely adopted methods for constructing parametric Reduced-Order Models (ROM). Utilizing the snapshot data from solving full-order governing equations, the Proper Orthogonal Decomposition…

机器学习 · 统计学 2025-09-16 Xiao Liu , Jingyi Feng , Xinchao Liu

We propose an online learning framework for forecasting nonlinear spatio-temporal signals (fields). The method integrates (i) dimensionality reduction, here, a simple proper orthogonal decomposition (POD) projection; (ii) a generalized…

机器学习 · 计算机科学 2025-07-29 Andrea Nóvoa , Luca Magri

We propose a projection-based monolithic model order reduction (MOR) procedure for a class of problems in nonlinear mechanics with internal variables. The work is is motivated by applications to thermo-hydro-mechanical (THM) systems for…

数值分析 · 数学 2021-09-14 Angelo Iollo , Giulia Sambataro , Tommaso Taddei

In this work, a new hybrid predictive Reduced Order Model (ROM) is proposed to solve reacting flow problems. This algorithm is based on a dimensionality reduction using Proper Orthogonal Decomposition (POD) combined with deep learning…

机器学习 · 计算机科学 2023-01-25 Adrián Corrochano , Rodolfo S. M. Freitas , Alessandro Parente , Soledad Le Clainche

In PDE-constrained optimization, proper orthogonal decomposition (POD) provides a surrogate model of a (potentially expensive) PDE discretization, on which optimization iterations are executed. Because POD models usually provide good…

最优化与控制 · 数学 2021-08-05 Paul Manns , Stefan Ulbrich

The main focus of the present work is the inclusion of spatial adaptivity for the snapshot computation in the offline phase of model order reduction utilizing Proper Orthogonal Decomposition (POD-MOR) for nonlinear parabolic evolution…

数值分析 · 数学 2020-08-04 Carmen Gräßle , Michael Hinze

We consider proper orthogonal decomposition (POD) methods to approximate the incompressible Navier-Stokes equations. We study the case in which one discretization for the nonlinear term is used in the snapshots (that are computed with a…

数值分析 · 数学 2022-03-30 Bosco García-Archilla , Julia Novo , Samuele Rubino

Global climate models represent small-scale processes such as clouds and convection using quasi-empirical models known as parameterizations, and these parameterizations are a leading cause of uncertainty in climate projections. A promising…

大气与海洋物理 · 物理学 2020-08-31 Janni Yuval , Paul A. O'Gorman

Predicting oil recovery efficiency of a deepwater reservoir is a challenging task. One approach to characterize a deepwater reservoir and to predict its producibility is by analyzing its depositional information. This research proposes a…

神经与进化计算 · 计算机科学 2013-01-15 Tina Yu , Dave Wilkinson , Julian Clark , Morgan Sullivan

Aims: The goal of this study is to perform numerical tests of Zeeman Doppler Imaging (ZDI) to asses whether correct reconstruction of magnetic fields is at all possible without taking temperature into account for stars in which magnetic and…

太阳与恒星天体物理 · 物理学 2012-11-13 Lisa Rosén , Oleg Kochukhov

The present study proposed the framework of the spatiotemporal superresolution measurement based on the sparse regression with dimensionality reduction using the proper orthogonal decomposition (POD). The non-time-resolved particle image…

流体动力学 · 物理学 2022-07-27 Yuta Ozawa , Takayuki Nagata , Taku Nonomura

Thermal management in the hyper-scale cloud data centers is a critical problem. Increased host temperature creates hotspots which significantly increases cooling cost and affects reliability. Accurate prediction of host temperature is…

分布式、并行与集群计算 · 计算机科学 2020-12-17 Shashikant Ilager , Kotagiri Ramamohanarao , Rajkumar Buyya

Inverse problems in computational physics often require matching high-dimensional spatio-temporal fields, leading to prohibitive computational costs and ill-conditioned optimizations. We introduce modal-centric field inversion (MCFI), a…

数值分析 · 数学 2026-01-22 Rohit Sunil Kanchi , Sicheng He

Shallow Recurrent Decoder networks are a novel data-driven methodology able to provide accurate state estimation in engineering systems, such as nuclear reactors. This deep learning architecture is a robust technique designed to map the…

计算工程、金融与科学 · 计算机科学 2025-10-15 Stefano Riva , Carolina Introini , Josè Nathan Kutz , Antonio Cammi

Most model reduction methods reduce the state dimension and then temporally evolve a set of coefficients that encode the state in the reduced representation. In this paper, we instead employ an efficient representation of the entire…

数值分析 · 数学 2025-11-03 Peter Frame , Cong Lin , Oliver Schmidt , Aaron Towne

Multiscale Proper Orthogonal Decomposition (mPOD) decomposes fluid flows into energy-optimal modes within prescribed frequency bands by combining Proper Orthogonal Decomposition with a multiresolution analysis (MRA). In its classical…

流体动力学 · 物理学 2026-04-15 Marek Belda , Lorenzo Schena , Romain Poletti , Martin Isoz , Tomáš Hyhlík , Miguel A. Mendez

Thermographic photothermal super resolution reconstruction enables the resolution of internal defects/inhomogeneities below the classical limit which is governed by the diffusion properties of thermal wave propagation. Based on a…

图像与视频处理 · 电气工程与系统科学 2022-05-11 Julien Lecompagnon , Samim Ahmadi , Philipp Hirsch , Christian Rupprecht , Mathias Ziegler