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There are two main strategies for improving the projection-based reduced order model (ROM) accuracy: (i) improving the ROM, i.e., adding new terms to the standard ROM; and (ii) improving the ROM basis, i.e., constructing ROM bases that…

Fluid Dynamics · Physics 2020-11-09 Xuping Xie , Peter J. Nolan , Shane D. Ross , Changhong Mou , Traian Iliescu

Robust optimization (RO) provides a principled framework for decision-making under uncertainty, but its practical use is often limited by the need to manually reformulate uncertain optimization models into tractable deterministic…

Artificial Intelligence · Computer Science 2026-05-13 Jinbiao Chen , Shuang Jin , Guoyun Zhang , Junyu Zhang , Guanyi Wang , Hanzhang Qin

It has been recognized that the diversity of base learners is of utmost importance to a good ensemble. This paper defines a novel measurement of diversity, termed as exclusivity. With the designed exclusivity, we further propose an ensemble…

Machine Learning · Computer Science 2016-05-17 Xiaojie Guo

Real-time optimization with persistent parameter adaptation (ROPA) is an RTO approach, where the steady-state model parameters are updated dynamically using transient measurements. Consequently, we avoid waiting for a steady-state before…

Systems and Control · Electrical Eng. & Systems 2022-06-02 J. Matias , J. P. C. Oliveira , G. A. C. Le Roux , J. Jaschke

We propose ERA, a new paradigm that constrains the sampling entropy above given thresholds by applying specially designed activations to the outputs of models. Our approach demonstrates broad effectiveness across different domains: 1) for…

Machine Learning · Computer Science 2025-10-13 Zilin Kang , Chonghua Liao , Tingqiang Xu , Huazhe Xu

The imitation learning of self-driving vehicle policies through behavioral cloning is often carried out in an open-loop fashion, ignoring the effect of actions to future states. Training such policies purely with Empirical Risk Minimization…

Machine Learning · Computer Science 2022-10-12 Eesha Kumar , Yiming Zhang , Stefano Pini , Simon Stent , Ana Ferreira , Sergey Zagoruyko , Christian S. Perone

The current study aims to evaluate and investigate the development of projection-based reduced-order models (ROMs) for efficient and accurate RDE simulations. Specifically, we focus on assessing the projection-based ROM construction…

Fluid Dynamics · Physics 2024-08-29 Ryan Camacho , Cheng Huang

Electro-Ribbon Actuators (ERAs) are lightweight flexural actuators that exhibit ultrahigh displacement and fast movement. However, their embedded sensing relies on capacitive sensors with limited precision, which hinders accurate control.…

Robotics · Computer Science 2026-02-20 Carolina Gay , Petr Trunin , Diana Cafiso , Yuejun Xu , Majid Taghavi , Lucia Beccai

State estimation is key to both analyzing physical mechanisms and enabling real-time control of fluid flows. A common estimation approach is to relate sensor measurements to a reduced state governed by a reduced-order model (ROM). (When…

Fluid Dynamics · Physics 2020-06-10 Nirmal J. Nair , Andres Goza

We present a reduced-order model (ROM) methodology for inverse scattering problems in which the reduced-order models are data-driven, i.e. they are constructed directly from data gathered by sensors. Moreover, the entries of the ROM contain…

Numerical Analysis · Mathematics 2023-06-16 Jörn Zimmerling , Vladimir Druskin , Murthy Guddati , Elena Cherkaev , Rob Remis

Mixed linear regression involves the recovery of two (or more) unknown vectors from unlabeled linear measurements; that is, where each sample comes from exactly one of the vectors, but we do not know which one. It is a classic problem, and…

Machine Learning · Statistics 2014-02-10 Xinyang Yi , Constantine Caramanis , Sujay Sanghavi

We introduce a novel approach to waveform inversion, based on a data driven reduced order model (ROM) of the wave operator. The presentation is for the acoustic wave equation, but the approach can be extended to elastic or electromagnetic…

Numerical Analysis · Mathematics 2022-12-29 Liliana Borcea , Josselin Garnier , Alexander V. Mamonov , Jörn Zimmerling

Forecasting atmospheric flows with traditional discretization methods, also called full order methods (e.g., finite element methods or finite volume methods), is computationally expensive. We propose to reduce the computational cost with a…

Numerical Analysis · Mathematics 2025-04-03 Arash Hajisharifi , Michele Girfoglio , Annalisa Quaini , Gianluigi Rozza

Robust optimization (RO) is a powerful paradigm for decision making under uncertainty. Existing algorithms for solving RO, including the reformulation approach and the cutting-plane method, do not scale well, hindering the application of RO…

Optimization and Control · Mathematics 2024-04-09 Kai Tu , Zhi Chen , Man-Chung Yue

Even though many approaches have been proposed for entity resolution (ER), it remains very challenging to find one with quality guarantees. To this end, we proposea risk-aware HUman-Machine cOoperation framework for ER, denoted by r-HUMO.…

Human-Computer Interaction · Computer Science 2018-11-27 Boyi Hou , Qun Chen , Zhaoqiang Chen , Youcef Nafa , Zhanhuai Li

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

In this paper, a type of novel projection-based, time-segmented reduced order model (ROM) is proposed for dynamic fluid-structure interaction (FSI) problems based upon the arbitrary Lagrangian--Eulerian (ALE)-finite element method (FEM) in…

Computational Engineering, Finance, and Science · Computer Science 2024-02-16 Qijia Zhai , Shiquan Zhang , Pengtao Sun , Xiaoping Xie

In order to solve partial differential equations numerically and accurately, a high order spatial discretization is usually needed. Model order reduction (MOR) techniques are often used to reduce the order of spatially-discretized systems…

Optimization and Control · Mathematics 2017-12-04 Pawan Goyal , Martin Redmann

In this paper, a reduced-order model (ROM) based on the proper orthogonal decomposition and the discrete empirical interpolation method is proposed for efficiently simulating time-fractional partial differential equations (TFPDEs). Both…

Numerical Analysis · Mathematics 2024-02-07 Hongfei Fu , Hong Wang , Zhu Wang

The optimal control input for linear systems can be solved from algebraic Riccati equation (ARE), from which it remains questionable to get the form of the exact solution. In engineering, the acceptable numerical solutions of ARE can be…

Systems and Control · Electrical Eng. & Systems 2022-01-07 Shengbo Wang , Shiping Wen , Kaibo Shi , Song Zhu , Tingwen Huang
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