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相关论文: In-situ adaptive reduction of nonlinear multiscale…

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Traditional reduced order modeling techniques such as the reduced basis (RB) method (relying, e.g., on proper orthogonal decomposition (POD)) suffer from severe limitations when dealing with nonlinear time-dependent parametrized PDEs,…

数值分析 · 数学 2020-01-14 Stefania Fresca , Luca Dede , Andrea Manzoni

Offline (or batch) reinforcement learning (RL) algorithms seek to learn an optimal policy from a fixed dataset without active data collection. Based on the composition of the offline dataset, two main categories of methods are used:…

机器学习 · 计算机科学 2023-07-04 Paria Rashidinejad , Banghua Zhu , Cong Ma , Jiantao Jiao , Stuart Russell

A strategy is proposed for adaptive stabilization of linear systems, depending on an uncertain parameter. Offline, the Riccati stabilizing feedback input control operators, corresponding to parameters in a finite training set of chosen…

最优化与控制 · 数学 2023-07-27 Philipp A. Guth , Karl Kunisch , Sérgio S. Rodrigues

The task of repeatedly solving parametrized partial differential equations (pPDEs) in, e.g. optimization or interactive applications, makes it imperative to design highly efficient and equally accurate surrogate models. The reduced basis…

数值分析 · 数学 2020-09-11 Yanlai Chen , Lijie Ji , Akil Narayan , Zhenli Xu

Mechanical systems are often characterized only by their response to certain loads known from experiments or simulations. The obtained data can be used for various purposes: system analysis, design of mathematical models, or construction of…

动力系统 · 数学 2026-01-05 Yevgeniya Filanova , Igor Pontes Duff , Pawan Goyal , Peter Benner

In this work we combine the framework of the Reduced Basis method (RB) with the framework of the Localized Orthogonal Decomposition (LOD) in order to solve parametrized elliptic multiscale problems. The idea of the LOD is to split a high…

数值分析 · 数学 2015-05-20 Assyr Abdulle , Patrick Henning

Offline reinforcement learning enables agents to leverage large pre-collected datasets of environment transitions to learn control policies, circumventing the need for potentially expensive or unsafe online data collection. Significant…

机器学习 · 计算机科学 2022-03-17 Cong Lu , Philip J. Ball , Jack Parker-Holder , Michael A. Osborne , Stephen J. Roberts

Predicting and simulating aerodynamic fields for civil aircraft over wide flight envelopes represent a real challenge mainly due to significant numerical costs and complex flows. Surrogate models and reduced-order models help to estimate…

流体动力学 · 物理学 2019-12-11 Romain Dupuis , Jean-Christophe Jouhaud , Pierre Sagaut

A new framework is developed for control of constrained nonlinear systems with structured parametric uncertainties. Forward invariance of a safe set is achieved through online parameter adaptation and data-driven model estimation. The new…

系统与控制 · 电气工程与系统科学 2020-06-01 Brett T. Lopez , Jean-Jacques E. Slotine , Jonathan P. How

Steering a system towards a desired target in a very short amount of time is challenging from a computational standpoint. Indeed, the intrinsically iterative nature of optimal control problems requires multiple simulations of the physical…

最优化与控制 · 数学 2025-05-16 Matteo Tomasetto , Andrea Manzoni , Francesco Braghin

In this paper, a new take on the concept of an active subspace for reducing the dimension of the design parameter space in a multidisciplinary analysis and optimization (MDAO) problem is proposed. The new approach is intertwined with the…

数值分析 · 数学 2020-07-01 Gabriele Boncoraglio , Charbel Farhat , Charbel Bou-Mosleh

Offline reinforcement learning, by learning from a fixed dataset, makes it possible to learn agent behaviors without interacting with the environment. However, depending on the quality of the offline dataset, such pre-trained agents may…

机器学习 · 计算机科学 2022-10-26 Yi Zhao , Rinu Boney , Alexander Ilin , Juho Kannala , Joni Pajarinen

One of the main strengths of online algorithms is their ability to adapt to arbitrary data sequences. This is especially important in nonparametric settings, where performance is measured against rich classes of comparator functions that…

机器学习 · 计算机科学 2020-11-03 Ilja Kuzborskij , Nicolò Cesa-Bianchi

Many complex mechatronic systems consist of multiple interconnected dynamical subsystems, which are designed, developed, analyzed, and manufactured by multiple independent teams. To support such a design approach, a modular model framework…

系统与控制 · 电气工程与系统科学 2024-02-13 Robert A. Egelmeers , Lars A. L. Janssen , Rob H. B. Fey , Jasper Gerritsen , Nathan van de Wouw

We propose a framework for online meta-optimization of parameters that govern optimization, called Amortized Proximal Optimization (APO). We first interpret various existing neural network optimizers as approximate stochastic proximal point…

机器学习 · 计算机科学 2022-03-02 Juhan Bae , Paul Vicol , Jeff Z. HaoChen , Roger Grosse

Many engineering applications rely on the evaluation of expensive, non-linear high-dimensional functions. In this paper, we propose the RONAALP algorithm (Reduced Order Nonlinear Approximation with Active Learning Procedure) to…

流体动力学 · 物理学 2023-11-20 Clément Scherding , Georgios Rigas , Denis Sipp , Peter J Schmid , Taraneh Sayadi

To efficiently tackle parametrized multi and/or large scale problems, we propose an adaptive localized model order reduction framework combining both local offline training and local online enrichment with localized error control. For the…

数值分析 · 数学 2024-04-26 Tim Keil , Mario Ohlberger , Felix Schindler , Julia Schleuß

The objective of this paper is to design novel multi-layer neural network architectures for multiscale simulations of flows taking into account the observed data and physical modeling concepts. Our approaches use deep learning concepts…

数值分析 · 数学 2018-06-14 Yating Wang , Siu Wun Cheung , Eric T. Chung , Yalchin Efendiev , Min Wang

The industrial application motivating this work is the fatigue computation of aircraft engines' high-pressure turbine blades. The material model involves nonlinear elastoviscoplastic behavior laws, for which the parameters depend on the…

数值分析 · 数学 2019-08-12 Fabien Casenave , Nissrine Akkari

Slip is a very common phenomena present in wheeled mobile robotic systems. It has undesirable consequences such as wasting energy and impeding system stability. To tackle the challenge of mobile robot trajectory tracking under slippery…

机器人学 · 计算机科学 2023-02-01 Huidong Gao , Rui Zhou , Masayoshi Tomizuka , Zhuo Xu