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With the ever-increasing availability of data, there has been an explosion of interest in applying modern machine learning methods to fields such as modeling and control. However, despite the flexibility and surprising accuracy of such…

机器学习 · 计算机科学 2023-02-13 Haakon Robinson , Erlend Lundby , Adil Rasheed , Jan Tommy Gravdahl

This contribution describes the implementation of a data--driven shape optimization pipeline in a naval architecture application. We adopt reduced order models (ROMs) in order to improve the efficiency of the overall optimization, keeping a…

数值分析 · 数学 2024-01-22 Nicola Demo , Giulio Ortali , Gianluca Gustin , Gianluigi Rozza , Gianpiero Lavini

To speed-up the solution to parametrized differential problems, reduced order models (ROMs) have been developed over the years, including projection-based ROMs such as the reduced-basis (RB) method, deep learning-based ROMs, as well as…

数值分析 · 数学 2022-02-08 Ludovica Cicci , Stefania Fresca , Andrea Manzoni

Named Entity Recognition (NER) serves as a foundational component in many natural language processing (NLP) pipelines. However, current NER models typically output a single predicted label sequence without any accompanying measure of…

计算与语言 · 计算机科学 2026-01-27 Matthew Singer , Srijan Sengupta , Karl Pazdernik

Reduced-order modeling (ROM) commonly refers to the construction, based on a few solutions (referred to as snapshots) of an expensive discretized partial differential equation (PDE), and the subsequent application of low-dimensional…

数值分析 · 数学 2019-05-22 Martin Hess , Alessandro Alla , Annalisa Quaini , Gianluigi Rozza , Max Gunzburger

We explore a reduced-order model (ROM) of plane Couette flow with a view to performing turbulence control. The ROM is derived through Galerkin projections of the incompressible Navier-Stokes (NS) system onto a basis composed of…

流体动力学 · 物理学 2025-07-09 Igor A. Maia , André V. G. Cavalieri

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

Prognostics or Remaining Useful Life (RUL) Estimation from multi-sensor time series data is useful to enable condition-based maintenance and ensure high operational availability of equipment. We propose a novel deep learning based approach…

机器学习 · 计算机科学 2021-03-05 Vishnu TV , Diksha , Pankaj Malhotra , Lovekesh Vig , Gautam Shroff

In the context of digital twins, structural health monitoring (SHM) constitutes the backbone of condition-based maintenance, facilitating the interconnection between virtual and physical assets. Guided wave propagation (GWP) is commonly…

机器学习 · 计算机科学 2023-07-20 G. I. Drakoulas , T. V. Gortsas , D. Polyzos

Inverse problems are pervasive mathematical methods in inferring knowledge from observational and experimental data by leveraging simulations and models. Unlike direct inference methods, inverse problem approaches typically require many…

计算物理 · 物理学 2019-12-20 Sheroze Sheriffdeen , Jean C. Ragusa , Jim E. Morel , Marvin L. Adams , Tan Bui-Thanh

Reduced-order models (ROMs) are systems of ordinary differential equations (ODEs) designed to approximate the dynamics of partial differential equations (PDEs). In this work, a distinguished hierarchy of ROMs is constructed for Rayleigh's…

流体动力学 · 物理学 2022-03-07 Matthew L. Olson , Charles R. Doering

We present a general framework for uncertainty quantification that is a mosaic of interconnected models. We define global first and second order structural and correlative sensitivity analyses for random counting measures acting on risk…

概率论 · 数学 2021-01-05 Caleb Deen Bastian , Herschel Rabitz

Predicting the electrical behavior of the heart, from the cellular scale to the tissue level, relies on the formulation and numerical approximation of coupled nonlinear dynamical systems. These systems describe the cardiac action potential,…

计算物理 · 物理学 2021-01-27 Stefania Fresca , Andrea Manzoni , Luca Dedè , Alfio Quarteroni

Accurately predicting the temperature field in metal additive manufacturing (AM) processes is critical to preventing overheating, adjusting process parameters, and ensuring process stability. While physics-based computational models offer…

机器学习 · 计算机科学 2024-01-05 Pouyan Sajadi , Mostafa Rahmani Dehaghani , Yifan Tang , G. Gary Wang

Deep neural networks have shown great success in prediction quality while reliable and robust uncertainty estimation remains a challenge. Predictive uncertainty supplements model predictions and enables improved functionality of downstream…

机器学习 · 计算机科学 2021-12-02 Johanna Rock , Tiago Azevedo , René de Jong , Daniel Ruiz-Muñoz , Partha Maji

Techniques from artificial intelligence and machine learning are increasingly employed in nuclear theory, however, the uncertainties that arise from the complex parameter manifold encoded by the neural networks are often overlooked.…

核理论 · 物理学 2025-10-29 Mengyao Huang , Kyle A. Wendt , Nicolas F. Schunck , Erika M. Holmbeck

The use of deep learning has become increasingly popular in reduced-order models (ROMs) to obtain low-dimensional representations of full-order models. Convolutional autoencoders (CAEs) are often used to this end as they are adept at…

流体动力学 · 物理学 2024-08-12 Rakesh Halder , Mohammadmehdi Ataei , Hesam Salehipour , Krzysztof Fidkowski , Kevin Maki

Identification of worst-case gust loads is a critical step in the certification of very flexible aircraft, yet the computational cost of nonlinear full-order simulations renders exhaustive parametric searches impractical. This paper…

计算工程、金融与科学 · 计算机科学 2026-04-16 Nikolaos D. Tantaroudas , Ilias Karachalios

A novel probabilistic approach for the design of mechanical structures with friction interfaces is proposed. The objective function is defined as the probability that a specified performance measure of the forced vibration response is…

计算工程、金融与科学 · 计算机科学 2021-01-01 Malte Krack , Sebastian Tatzko , Lars Panning-von Scheidt , Jörg Wallaschek

Optimization models have been broadly used within side the energy industry as useful decision-making systems for scheduling and dispatching electric powered energy resources; this is applied in a system called unit commitment (UC). Unit…

最优化与控制 · 数学 2022-04-01 Angel Zambrano