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Almost all scientific data have uncertainties originating from different sources. Gaussian process regression (GPR) models are a natural way to model data with Gaussian-distributed uncertainties. GPR also has the benefit of reducing I/O…

机器学习 · 统计学 2025-12-16 Haoyu Li , Isaac J Michaud , Ayan Biswas , Han-Wei Shen

Generally, reduced order models of fluid flows are obtained by projecting the Navier-Stokes equations onto a reduced subspace spanned by vector functions that carry the meaningful information of the dynamics. A common method to generate…

流体动力学 · 物理学 2023-09-22 M. Oulghelou , A. Ammar , R. Ayoub

Laplace Neural Operators (LNOs) have recently emerged as a promising approach in scientific machine learning due to the ability to learn nonlinear maps between functional spaces. However, this framework often requires substantial amounts of…

机器学习 · 计算机科学 2025-02-04 Haoyang Zheng , Guang Lin

The calibration of rheological parameters in the modeling of complex flows of non-Newtonian fluids can be a daunting task. In this paper we demonstrate how the framework of Uncertainty Quantification (UQ) can be used to improve the…

流体动力学 · 物理学 2023-07-11 Aricia Rinkens , Clemens V. Verhoosel , Nick O. Jaensson

High-fidelity scale-resolving simulations of turbulent flows quickly become prohibitively expensive, especially at high Reynolds numbers. As a remedy, we may use multifidelity models (MFM) to construct predictive models for flow quantities…

流体动力学 · 物理学 2023-06-14 Saleh Rezaeiravesh , Timofey Mukha , Philipp Schlatter

Simulation-based inference provides a powerful framework for extracting rich information from nonlinear scales in current and upcoming cosmological surveys, and ensuring its robustness requires stringent validation of forward models. In…

宇宙学与河外天体物理 · 物理学 2025-08-12 Kangning Diao , Biwei Dai , Uros Seljak

A machine learning method to predict steady external fluid flows using elliptic input features is introduced. Using data from as few as one high-fidelity simulation, the proposed method produces models generalizable under changes to…

流体动力学 · 物理学 2025-01-28 Kazuko W. Fuchi , Eric M. Wolf , David S. Makhija , Christopher R. Schrock , Philip S. Beran

Osmotic energy (or salinity-gradient energy) is the energy released when water with different salinities is mixed, such as rivers and oceans. By employing a semipermeable membrane to control the mixing process, the osmotic pressure gradient…

材料科学 · 物理学 2021-12-07 Arvin Shadravan , Mahmood Amani , Peisean Goh , Ahmad Fauzi Ismail

This study investigates uncertainty quantification (UQ) using quantum-classical hybrid machine learning (ML) models for applications in complex and dynamic fields, such as attaining resiliency in supply chain digital twins and financial…

Despite the wide implementation of machine learning (ML) techniques in traffic flow modeling recently, those data-driven approaches often fall short of accuracy in the cases with a small or noisy dataset. To address this issue, this study…

机器学习 · 统计学 2022-03-15 Yun Yuan , Xianfeng Terry Yang , Zhao Zhang , Shandian Zhe

While deep learning has shown tremendous success in a wide range of domains, it remains a grand challenge to incorporate physical principles in a systematic manner to the design, training, and inference of such models. In this paper, we aim…

计算物理 · 物理学 2020-06-16 Rui Wang , Karthik Kashinath , Mustafa Mustafa , Adrian Albert , Rose Yu

Posterior distributions on parameters computed from experimental data using Bayesian techniques are only as accurate as the models used to construct them. In many applications these models are incomplete, which both reduces the prospects of…

广义相对论与量子宇宙学 · 物理学 2015-06-23 Christopher J. Moore , Jonathan R. Gair

Machine Learning (ML) models in Robotic Assembly Sequence Planning (RASP) need to be introspective on the predicted solutions, i.e. whether they are feasible or not, to circumvent potential efficiency degradation. Previous works need both…

We propose PROSE-FD, a zero-shot multimodal PDE foundational model for simultaneous prediction of heterogeneous two-dimensional physical systems related to distinct fluid dynamics settings. These systems include shallow water equations and…

机器学习 · 计算机科学 2024-09-17 Yuxuan Liu , Jingmin Sun , Xinjie He , Griffin Pinney , Zecheng Zhang , Hayden Schaeffer

Out-of-distribution (OOD) detection remains a critical challenge in open-world learning, where models must adapt to evolving data distributions. While recent vision-language models (VLMS) like CLIP enable multimodal OOD detection through…

计算机视觉与模式识别 · 计算机科学 2026-03-20 Aditi Naiknaware , Salimeh Sekeh

In this work, an efficient physics-constrained deep learning model is developed for solving multiphase flow in 3D heterogeneous porous media. The model fully leverages the spatial topology predictive capability of convolutional neural…

地球物理 · 物理学 2021-05-21 Bicheng Yan , Dylan Robert Harp , Bailian Chen , Rajesh Pawar

Linear systems in applications are typically well-posed, and yet the coefficient matrices may be nearly singular in that the condition number $\kappa(\boldsymbol{A})$ may be close to $1/\varepsilon_{w}$, where $\varepsilon_{w}$ denotes the…

数值分析 · 数学 2023-03-09 Xiangmin Jiao

Accurate prediction of hypersonic flow fields over a compression ramp is critical for aerodynamic design but remains challenging due to the scarcity of experimental measurements such as velocity. This study systematically develops a data…

流体动力学 · 物理学 2025-11-26 Yuan Jia , Guoqin Zhao , Hao Ma , Xin Li , Chi Zhang , Chih-Yung Wen

As in many other areas of engineering and applied science, Machine Learning (ML) is having a profound impact in the domain of Weather and Climate Prediction. A very recent development in this area has been the emergence of fully data-driven…

机器学习 · 统计学 2023-11-06 Massimo Bonavita

The integration of various power sources, including renewables and electric vehicles, into smart grids is expanding, introducing uncertainties that can result in issues like voltage imbalances, load fluctuations, and power losses. These…

系统与控制 · 电气工程与系统科学 2024-03-26 Qi Li , Ye Shi , Yuning Jiang , Yuanming Shi , Haoyu Wang , H. Vincent Poor