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Recent research in non-intrusive data-driven model order reduction (MOR) enabled accurate and efficient approximation of parameterized ordinary differential equations (ODEs). However, previous studies have focused on constant parameters,…

动力系统 · 数学 2021-10-27 Jonas Kneifl , Julian Hay , Jörg Fehr

Data-driven modeling of dynamical systems is a crucial area of machine learning. In many scenarios, a thorough understanding of the model's behavior becomes essential for practical applications. For instance, understanding the behavior of a…

机器学习 · 计算机科学 2025-04-14 Krzysztof Kacprzyk , Mihaela van der Schaar

Time domain simulations of electromagnetic problems are highly valuable in engineering applications, as they allow for the analysis of transient behavior and broadband responses. These simulations utilize time stepping schemes, where each…

计算物理 · 物理学 2024-10-23 Ruth Medeiros , Valentin de la Rubia

The computational efficiency of the Finite-Difference Time-Domain (FDTD) method can be significantly reduced by the presence of complex objects with fine features. Small geometrical details impose a fine mesh and a reduced time step,…

计算工程、金融与科学 · 计算机科学 2021-06-30 Xinyue Zhang , Fadime Bekmambetova , Piero Triverio

Recently, skeleton-based human action has become a hot research topic because the compact representation of human skeletons brings new blood to this research domain. As a result, researchers began to notice the importance of using RGB or…

计算机视觉与模式识别 · 计算机科学 2023-07-26 Yifan Jiang , Han Chen , Hanseok Ko

Purpose. Localizing structures and estimating the motion of a specific target region are common problems for navigation during surgical interventions. Optical coherence tomography (OCT) is an imaging modality with a high spatial and…

图像与视频处理 · 电气工程与系统科学 2020-04-22 Marcel Bengs , Nils Gessert , Matthias Schlüter , Alexander Schlaefer

Online action detection (OAD) is challenging since 1) robust yet computationally expensive features cannot be straightforwardly used due to the real-time processing requirements and 2) the localization and classification of actions have to…

计算机视觉与模式识别 · 计算机科学 2016-10-31 Seungryul Baek , Kwang In Kim , Tae-Kyun Kim

Strategies and recommendations for performing skeletal reductions of multicomponent surrogate fuels are presented, through the generation and validation of skeletal mechanisms for a three-component toluene reference fuel. Using the directed…

化学物理 · 物理学 2014-09-29 Kyle E Niemeyer , Chih-Jen Sung

The neural ordinary differential equation (ODE) framework has emerged as a powerful tool for developing accelerated surrogate models of complex physical systems governed by partial differential equations (PDEs). A popular approach for PDE…

流体动力学 · 物理学 2025-03-26 Ashish S. Nair , Shivam Barwey , Pinaki Pal , Jonathan F. MacArt , Troy Arcomano , Romit Maulik

Autonomous control systems use various sensors to decrease the amount of uncertainty under which they operate. While providing partial observation of the current state of the system, sensors require resources such as energy, time and…

计算机科学中的逻辑 · 计算机科学 2016-02-29 Eva Tesarova , Maria Svorenova , Jiri Barnat , Ivana Cerna

A random walk-based method is proposed to efficiently compute the solution of a large class of fractional in time linear systems of differential equations (linear F-ODE systems), along with the derivatives with respect to the system…

数值分析 · 数学 2024-08-09 Andrés Centeno , Juan A. Acebrón , José Monteiro

Low-rank optimization has emerged as a promising direction in training large language models (LLMs) to improve running time and reduce the memory usage of adaptive optimizers by constraining learning to a lower-dimensional space. Prior work…

机器学习 · 计算机科学 2025-10-09 Ionut-Vlad Modoranu , Mher Safaryan , Erik Schultheis , Max Ryabinin , Artem Chumachenko , Dan Alistarh

Few-Shot Remote Sensing Scene Classification (FS-RSSC) presents the challenge of classifying remote sensing images with limited labeled samples. Existing methods typically emphasize single-modal feature learning, neglecting the potential…

计算机视觉与模式识别 · 计算机科学 2025-03-20 Zhong Ji , Ci Liu , Jingren Liu , Chen Tang , Yanwei Pang , Xuelong Li

Embedding nonlinear dynamical systems into artificial neural networks is a powerful new formalism for machine learning. By parameterizing ordinary differential equations (ODEs) as neural network layers, these Neural ODEs are…

机器学习 · 计算机科学 2024-10-28 Mikko Lehtimäki , Lassi Paunonen , Marja-Leena Linne

Ordinary differential equations (ODEs) can provide mechanistic models of temporally local changes of processes, where parameters are often informed by external knowledge. While ODEs are popular in systems modeling, they are less established…

统计方法学 · 统计学 2025-07-10 Maren Hackenberg , Astrid Pechmann , Clemens Kreutz , Janbernd Kirschner , Harald Binder

Out-of-distribution (OOD) detection is essential for the reliability of ML models. Most existing methods for OOD detection learn a fixed decision criterion from a given in-distribution dataset and apply it universally to decide if a data…

机器学习 · 计算机科学 2023-11-29 YiFan Zhang , Xue Wang , Tian Zhou , Kun Yuan , Zhang Zhang , Liang Wang , Rong Jin , Tieniu Tan

We propose a data-driven framework for learning reduced-order moment dynamics from PDE-governed systems using Neural ODEs. In contrast to derivative-based methods like SINDy, which necessitate densely sampled data and are sensitive to…

斑图形成与孤子 · 物理学 2025-06-06 Shaoxuan Chen , Su Yang , Panayotis G. Kevrekidis , Wei Zhu

Deep learning models in medical imaging often encounter challenges when adapting to new clinical settings unseen during training. Test-time adaptation offers a promising approach to optimize models for these unseen domains, yet its…

机器学习 · 计算机科学 2024-10-28 Sameer Ambekar , Julia A. Schnabel , Cosmin I. Bercea

Most model reduction methods reduce the state dimension and then temporally evolve a set of coefficients that encode the state in the reduced representation. In this paper, we instead employ an efficient representation of the entire…

数值分析 · 数学 2025-11-03 Peter Frame , Cong Lin , Oliver Schmidt , Aaron Towne

Oblique Decision Tree (ODT) separates the feature space by linear projections, as opposed to the conventional Decision Tree (DT) that forces axis-parallel splits. ODT has been proven to have a stronger representation ability than DT, as it…

机器学习 · 计算机科学 2025-02-04 Shen-Huan Lyu , Yi-Xiao He , Yanyan Wang , Zhihao Qu , Bin Tang , Baoliu Ye