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Dynamic mode decomposition (DMD) has emerged as a popular data-driven modeling approach to identifying spatio-temporal coherent structures in dynamical systems, owing to its strong relation with the Koopman operator. For dynamical systems…

信号处理 · 电气工程与系统科学 2021-10-26 Manu Krishnan , Serkan Gugercin , Pablo A. Tarazaga

Expectation Propagation (EP)-based Multiple-Input Multiple-Output (MIMO) detector is regarded as a state-of-the-art MIMO detector because of its exceptional performance. However, we find that the EP MIMO detector cannot guarantee to achieve…

信号处理 · 电气工程与系统科学 2020-10-21 Hang Chen , Guoqiang Yao , Jianhao Hu

Vision-Language Models (VLMs) excel at 2D tasks such as grounding and captioning, yet remain limited in 3D understanding. A key limitation is their text-only supervision paradigm, which under-constrains fine-grained visual perception and…

计算机视觉与模式识别 · 计算机科学 2026-05-21 Hanxun Yu , Xuan Qu , Yuxin Wang , Jianke Zhu , Lei Ke

We introduce and analyse the first order Enlarged Enhancement Virtual Element Method (E$^2$VEM) for the Poisson problem. The method allows the definition of bilinear forms that do not require a stabilization term, thanks to the exploitation…

数值分析 · 数学 2026-04-08 Stefano Berrone , Andrea Borio , Francesca Marcon

The proposed method introduces a parameter determination approach based on the minimum Fractal box dimension (FBD) of Variational Mode Decomposition (VMD) components, aiming to address the issue of manual determination of VMD decomposition…

信号处理 · 电气工程与系统科学 2024-05-17 Pei Yuhang , Yu Min , Yu Yan

In the present work we introduce a novel refinement algorithm for two-dimensional elliptic partial differential equations discretized with Virtual Element Method (VEM). The algorithm improves the numerical solution accuracy and the mesh…

数值分析 · 数学 2024-03-18 Stefano Berrone , Fabio Vicini

The distribution of block maxima of sequences of independent and identically-distributed random variables is used to model extreme values in many disciplines. The traditional extreme value (EV) theory derives a closed-form expression for…

统计方法学 · 统计学 2019-02-27 Marco Marani , Enrico Zorzetto

A Single Ensemble Empirical Mode Decomposition (SEEMD) is proposed for locating the damage in rolling element bearings. The SEEMD does not require a number of ensembles from the addition or subtraction of noise every time while processing…

信号处理 · 电气工程与系统科学 2025-02-13 Yaakoub Berrouche , Govind Vashishtha , Sumika Chauhan , Radoslaw Zimroz

This paper discusses the application of Dynamic Mode Decomposition (DMD) to the extraction of modal properties of linear mechanical systems, i.e., experimental modal analysis (EMA). First, theoretical background of the DMD is briefly…

动力系统 · 数学 2026-03-17 Akira Saito , Tomohiro Kuno

Estimating rigid objects' poses is one of the fundamental problems in computer vision, with a range of applications across automation and augmented reality. Most existing approaches adopt one network per object class strategy, depend…

计算机视觉与模式识别 · 计算机科学 2024-10-14 Jianyu Zhao , Wei Quan , Bogdan J. Matuszewski

An introductory exposition of the virtual element method (VEM) is provided. The intent is to make this method more accessible to those unfamiliar with VEM. Familiarity with the finite element method for solving 2D linear elasticity problems…

数值分析 · 数学 2023-09-25 L. L. Yaw

This work extends our previous study from S. Shrestha et al. (2024) by introducing a new abstract framework for Variational Multiscale (VMS) methods at the discrete level. We introduce the concept of what we define as the optimal projector…

数值分析 · 数学 2025-03-04 Suyash Shrestha , Marc Gerritsma , Gonzalo Rubio , Steven Hulshoff , Esteban Ferrer

We present a data-driven method for separating complex, multiscale systems into their constituent time-scale components using a recursive implementation of dynamic mode decomposition (DMD). Local linear models are built from windowed…

系统与控制 · 计算机科学 2019-06-26 Daniel Dylewsky , Molei Tao , J. Nathan Kutz

Detecting visual relationships, i.e. <Subject, Predicate, Object> triplets, is a challenging Scene Understanding task approached in the past via linguistic priors or spatial information in a single feature branch. We introduce a new deeply…

计算机视觉与模式识别 · 计算机科学 2019-02-18 Nikolaos Gkanatsios , Vassilis Pitsikalis , Petros Koutras , Athanasia Zlatintsi , Petros Maragos

In this paper, the line spectral estimation (LSE) problem with multiple measurement vectors (MMVs) is studied utilizing the Bayesian methods. Motivated by the recently proposed variational line spectral estimation (VALSE) method, we develop…

信息论 · 计算机科学 2018-11-29 Jiang Zhu , Qi Zhang , Peter Gerstoft , Mihai-Alin Badiu , Zhiwei Xu

View Transformation Module (VTM), where transformations happen between multi-view image features and Bird-Eye-View (BEV) representation, is a crucial step in camera-based BEV perception systems. Currently, the two most prominent VTM…

计算机视觉与模式识别 · 计算机科学 2023-08-21 Zhiqi Li , Zhiding Yu , Wenhai Wang , Anima Anandkumar , Tong Lu , Jose M. Alvarez

This paper introduces BEV-VLM, a novel approach for trajectory planning in autonomous driving that leverages Vision-Language Models (VLMs) with Bird's-Eye View (BEV) feature maps as visual input. Unlike conventional trajectory planning…

机器人学 · 计算机科学 2026-03-02 Guancheng Chen , Sheng Yang , Tong Zhan , Jian Wang

We present a Virtual Element Method (VEM) for possibly nonlinear elastic and inelastic problems, mainly focusing on a small deformation regime. The numerical scheme is based on a low-order approximation of the displacement field, as well as…

数值分析 · 数学 2023-07-19 L. Beirão da Veiga , C. Lovadina , D. Mora

This paper introduces a method for spatial interpolation of extreme values, and in particular targets the case in which conventional data, resulting from a measurement for example, are available at only a few locations. To overcome this the…

统计方法学 · 统计学 2012-03-13 B. D. Youngman

We report on an improvement to the implementation of the Maximum Entropy Method (MEM). It amounts to departing from the search space obtained through a singular value decomposition (SVD) of the Kernel. Based on the shape of the SVD basis…

计算物理 · 物理学 2015-03-20 Alexander Rothkopf