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Related papers: Reduced Order Probabilistic Emulation for Physics-…

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Reduced Order Models (ROMs) have gained a great attention by the scientific community in the last years thanks to their capabilities of significantly reducing the computational cost of the numerical simulations, which is a crucial objective…

Numerical Analysis · Mathematics 2024-06-05 Guglielmo Padula , Michele Girfoglio , Gianluigi Rozza

This paper presents a parametric Model Order Reduction (MOR) method for weakly coupled thermo-mechanical Finite Element (FE) models of machine tools and other similar mechatronic systems. This work proposes a reduction method, Krylov Modal…

Numerical Analysis · Mathematics 2020-09-30 Pablo Hernández-Becerro , Daniel Spescha , Konrad Wegener

With the development of ever-improving telescopes capable of observing exoplanet atmospheres in greater detail and number, there is a growing demand for enhanced 3D climate models to support and help interpret observational data from space…

Earth and Planetary Astrophysics · Physics 2025-08-15 Alexander Plaschzug , Amit Reza , Ludmila Carone , Sebastian Gernjak , Christiane Helling

The numerical simulation of electromagnetic transients in fusion devices is essential for analyzing plasma stability and disruptive events. However, it remains computationally demanding due to the large-scale dense systems arising from…

Numerical Analysis · Mathematics 2026-05-28 Salvatore Ventre

Due to the rapidly changing climate, the frequency and severity of extreme weather is expected to increase over the coming decades. As fully-resolved climate simulations remain computationally intractable, policy makers must rely on…

Atmospheric and Oceanic Physics · Physics 2024-02-29 Benedikt Barthel Sorensen , Alexis Charalampopoulos , Shixuan Zhang , Bryce Harrop , Ruby Leung , Themistoklis Sapsis

Cloud-related parameterizations remain a leading source of uncertainty in climate projections. Although machine learning holds promise for Earth system models (ESMs), many data-driven parameterizations lack interpretability, physical…

Atmospheric and Oceanic Physics · Physics 2025-11-25 Arthur Grundner , Tom Beucler , Julien Savre , Axel Lauer , Manuel Schlund , Veronika Eyring

Model-based reinforcement learning (MBRL) is sample-efficient but struggles in sparse reward settings. A critical bottleneck arises from the lack of informative gradients in sparse settings, where standard reward models often yield flat…

Machine Learning · Computer Science 2026-05-11 Yao-Hui Li , Zeyu Wang , Xin Li , Wei Pang , Yingfang Yuan , Zhengkun Chen , Boya Zhang , Riashat Islam , Alex Lamb , Yonggang Zhang

A linearized energy-balance model for global temperature is formulated, featuring a scale-free long-range memory (LRM) response and stochastic forcing representing the influence on the ocean heat reservoir from atmospheric weather systems.…

Atmospheric and Oceanic Physics · Physics 2015-06-16 Martin Rypdal , Kristoffer Rypdal

Accurate forecasts of Coronal Mass Ejection (CME) arrival times and impact geometry remain a major challenge for space-weather operations. Coronagraph-based techniques typically achieve mean absolute errors of order ten hours, while in situ…

Solar and Stellar Astrophysics · Physics 2025-12-02 Marti Masso Moreno , Carlos Arturo Perez-Alanis , P. K. Manoharan

Sampling-based inference techniques are central to modern cosmological data analysis; these methods, however, scale poorly with dimensionality and typically require approximate or intractable likelihoods. In this paper we describe how…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-09 Alex Cole , Benjamin Kurt Miller , Samuel J. Witte , Maxwell X. Cai , Meiert W. Grootes , Francesco Nattino , Christoph Weniger

Projecting climate change is a generalization problem: we extrapolate the recent past using physical models across past, present, and future climates. Current climate models require representations of processes that occur at scales smaller…

Diffusion models generate data by learning to reverse a forward process, where samples are progressively perturbed with Gaussian noise according to a predefined noise schedule. From a geometric perspective, each noise schedule corresponds…

Image and Video Processing · Electrical Eng. & Systems 2025-10-21 Teng Zhang , Hongxu Jiang , Kuang Gong , Wei Shao

The ocean interior regulates Earth's climate but remains sparsely observed due to limited in situ measurements, while satellite observations are restricted to the surface. We present a depth-aware generative framework for reconstructing…

Atmospheric and Oceanic Physics · Physics 2026-04-06 Niloofar Asefi , Tianning Wu , Ruoying He , Ashesh Chattopadhyay

Learning complex physical dynamics purely from data is challenging due to the intrinsic properties of systems to be satisfied. Incorporating physics-informed priors, such as in Hamiltonian Neural Networks (HNNs), achieves high-precision…

Machine Learning · Computer Science 2024-10-10 Zijie Huang , Wanjia Zhao , Jingdong Gao , Ziniu Hu , Xiao Luo , Yadi Cao , Yuanzhou Chen , Yizhou Sun , Wei Wang

A discrete tomography method has been developed that is able to reconstruct three-dimensional coronal mass ejection (CME) density structure. We test the method by producing synthetic coronagraph imagery for three events using the…

We consider the common problem setting of an elastic sphere impacting on a flexible beam. In contrast to previous studies, we analyze the modal energy distribution induced by the impact, having in mind the particular application of impact…

Systems and Control · Electrical Eng. & Systems 2022-07-05 Felix Gehr , Timo Theurich , Carlo Monjaraz-Tec , Johann Gross , Stefan Schwarz , Andreas Hartung , Malte Krack

A method (Ember) for non-stationary spatial modelling with multiple secondary variables by combining Geostatistics with Random Forests is applied to a three-dimensional Reservoir Model. It extends the Random Forest method to an…

Computational Engineering, Finance, and Science · Computer Science 2020-11-12 Colin Daly

Numerical simulations of contaminant dispersion, as after a gas leakage incident on a chemical plant, can provide valuable insights for both emergency response and preparedness. Simulation approaches combine incompressible Navier-Stokes…

Computational Engineering, Finance, and Science · Computer Science 2026-03-05 Lisa Kühn , Jacopo Bonari , Max von Danwitz , Alexander Popp

This work investigates a two-stage method for constructing projection-based reduced-order models (ROMs) of parameterized partial differential equations (PDEs). Based on established tensorial ROM methodology, the proposed approach reduces…

Numerical Analysis · Mathematics 2026-04-30 Arjun Vijaywargia , Eric C. Cyr , Anthony Gruber

This paper is interested in developing reduced order models (ROMs) for repeated simulation of fractional elliptic partial differential equations (PDEs) for multiple values of the parameters (e.g., diffusion coefficients or fractional…

Numerical Analysis · Mathematics 2023-06-30 Harbir Antil , Arvind K. Saibaba
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