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This work proposes a technique for constructing a statistical closure model for reduced-order models (ROMs) applied to stationary systems modeled as parameterized systems of algebraic equations. The proposed technique extends the…

Numerical Analysis · Mathematics 2024-12-20 Stefano Pagani , Andrea Manzoni , Kevin Carlberg

Early action prediction aims to successfully predict the class label of an action before it is completely performed. This is a challenging task because the beginning stages of different actions can be very similar, with only minor subtle…

Computer Vision and Pattern Recognition · Computer Science 2022-07-25 Lin Geng Foo , Tianjiao Li , Hossein Rahmani , Qiuhong Ke , Jun Liu

Accurate error estimation is crucial in model order reduction, both to obtain small reduced-order models and to certify their accuracy when deployed in downstream applications such as digital twins. In existing a posteriori error estimation…

Numerical Analysis · Mathematics 2023-07-24 Sridhar Chellappa , Lihong Feng , Peter Benner

We propose a machine learning-based method to build a system of differential equations that approximates the dynamics of 3D electromechanical models for the human heart, accounting for the dependence on a set of parameters. Specifically,…

Numerical Analysis · Mathematics 2022-04-06 Francesco Regazzoni , Matteo Salvador , Luca Dedè , Alfio Quarteroni

The main purpose of this work is the one of providing an efficient scheme for constructing reduced interpolation models for kernel bases. In literature such problem is mainly addressed via the well-established knot insertion or knot removal…

Numerical Analysis · Mathematics 2021-07-14 Francesco Marchetti , Emma Perracchione

This paper develops a direct data-driven framework for constructing reduced-order models (ROMs) of discrete-time linear dynamical systems with unknown dynamics and process disturbances. The proposed scheme enables controller synthesis on…

Systems and Control · Electrical Eng. & Systems 2026-03-27 Behrad Samari , Henrik Sandberg , Karl H. Johansson , Abolfazl Lavaei

We study the minimal error of the Empirical Risk Minimization (ERM) procedure in the task of regression, both in the random and the fixed design settings. Our sharp lower bounds shed light on the possibility (or impossibility) of adapting…

Statistics Theory · Mathematics 2021-02-25 Gil Kur , Alexander Rakhlin

This work proposes novel techniques for the efficient numerical simulation of parameterized, unsteady partial differential equations. Projection-based reduced order models (ROMs) such as the reduced basis method employ a (Petrov-)Galerkin…

Numerical Analysis · Mathematics 2023-12-05 Nicholas Mueller , Santiago Badia

Motivated by single-particle cryo-electron microscopy, multi-reference alignment (MRA) models the task of recovering an unknown signal from multiple noisy observations corrupted by random rotations. The standard approach,…

Signal Processing · Electrical Eng. & Systems 2026-01-09 Shay Kreymer , Amnon Balanov , Tamir Bendory

This paper presents EROAM, a novel event-based rotational odometry and mapping system that achieves real-time, accurate camera rotation estimation. Unlike existing approaches that rely on event generation models or contrast maximization,…

Computer Vision and Pattern Recognition · Computer Science 2026-01-30 Wanli Xing , Shijie Lin , Linhan Yang , Zeqing Zhang , Yanjun Du , Maolin Lei , Yipeng Pan , Chen Wang , Jia Pan

The performance of speech and events recognition systems significantly improved recently thanks to deep learning methods. However, some of these tasks remain challenging when algorithms are deployed on robots due to the unseen mechanical…

Audio and Speech Processing · Electrical Eng. & Systems 2023-03-08 Pierre-Olivier Lagacé , François Ferland , François Grondin

A large number of theoretically predicted waveforms are required by matched-filtering searches for the gravitational-wave signals produced by compact binary coalescence. In order to substantially alleviate the computational burden in…

General Relativity and Quantum Cosmology · Physics 2018-06-11 Dániel Barta , Mátyás Vasúth

Empirical risk minimization (ERM) and distributionally robust optimization (DRO) are popular approaches for solving stochastic optimization problems that appear in operations management and machine learning. Existing generalization error…

Optimization and Control · Mathematics 2023-09-26 Garud Iyengar , Henry Lam , Tianyu Wang

Reduced Order Modelling (ROM) has been widely used to create lower order, computationally inexpensive representations of higher-order dynamical systems. Using these representations, ROMs can efficiently model flow fields while using…

Fluid Dynamics · Physics 2021-10-13 Pranshu Pant , Ruchit Doshi , Pranav Bahl , Amir Barati Farimani

Reduced Order Models (ROMs) are of considerable importance in many areas of engineering in which computational time presents difficulties. Established approaches employ projection-based reduction such as Proper Orthogonal Decomposition,…

Numerical Analysis · Mathematics 2023-04-26 Thomas Simpson , Konstantinos Vlachas , Anthony Garland , Nikolaos Dervilis , Eleni Chatzi

This work introduces a novel method to generate snapshot data for operator inference that guarantees the exact reconstruction of intrusive projection-based reduced-order models (ROMs). To ensure exact reconstruction, the operator inference…

Numerical Analysis · Mathematics 2026-02-18 Henrik Rosenberger , Benjamin Sanderse , Giovanni Stabile

We propose a non-intrusive Deep Learning-based Reduced Order Model (DL-ROM) capable of capturing the complex dynamics of mechanical systems showing inertia and geometric nonlinearities. In the first phase, a limited number of high fidelity…

Numerical Analysis · Mathematics 2021-11-25 Stefania Fresca , Giorgio Gobat , Patrick Fedeli , Attilio Frangi , Andrea Manzoni

Reduced-order models (ROM) are popular in online motion planning due to their simplicity. A good ROM for control captures critical task-relevant aspects of the full dynamics while remaining low dimensional. However, planning within the…

Robotics · Computer Science 2024-04-04 Yu-Ming Chen , Jianshu Hu , Michael Posa

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…

Dynamical Systems · Mathematics 2026-01-05 Yevgeniya Filanova , Igor Pontes Duff , Pawan Goyal , Peter Benner

The goal of this paper is to assess the utility of Reduced-Order Models (ROMs) developed from 3D physics-based models for predicting transient thermal power output for an enhanced geothermal reservoir while explicitly accounting for…

Computational Engineering, Finance, and Science · Computer Science 2018-06-18 M. K. Mudunuru , S. Karra , D. R. Harp , G. D. Guthrie , H. S. Viswanathan