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The characterization of intermittent, multiscale and transient dynamics using data-driven analysis remains an open challenge. We demonstrate an application of the Dynamic Mode Decomposition (DMD) with sparse sampling for the diagnostic…

动力系统 · 数学 2020-05-18 Krithika Manohar , Eurika Kaiser , Steven L. Brunton , J. Nathan Kutz

Sparse views X-ray computed tomography has emerged as a contemporary technique to mitigate radiation dose. Because of the reduced number of projection views, traditional reconstruction methods can lead to severe artifacts. Recently,…

计算机视觉与模式识别 · 计算机科学 2024-09-04 Liutao Yang , Jiahao Huang , Guang Yang , Daoqiang Zhang

Fine-grained high-resolution remote sensing mapping typically relies on localized visual features, which restricts cross-domain generalizability and often leads to fragmented predictions of large-scale land covers. While global geospatial…

计算机视觉与模式识别 · 计算机科学 2026-04-23 Jienan Lyu , Miao Yang , Jinchen Cai , Yiwen Hu , Guanyi Lu , Junhao Qiu , Runmin Dong

The Hadamard decomposition is a powerful technique for data analysis and matrix compression, which decomposes a given matrix into the element-wise product of two or more low-rank matrices. In this paper, we develop an efficient algorithm to…

机器学习 · 计算机科学 2025-04-23 Samuel Wertz , Arnaud Vandaele , Nicolas Gillis

Model order reduction (MOR) has long been a mainstream strategy to accelerate large-scale transient circuit simulation. Dynamic Mode Decomposition (DMD) represents a novel data-driven characterization method, extracting dominant dynamical…

信号处理 · 电气工程与系统科学 2025-08-06 Na Liu , Chengliang Dai , Qiuyue Wu , Qiuqi Li , Guoxiong Cai

An accurate treatment of electronic spectra in large systems with a technique such as time dependent density functional theory (TDDFT) is computationally challenging. Due to the Nyquist sampling theorem, direct real time simulations must be…

材料科学 · 物理学 2024-01-17 Matthias Kick , Ezra Alexander , Anton Beiersdorfer , Troy Van Voorhis

Feature extraction is a key step in image processing for pattern recognition and machine learning processes. Its purpose lies in reducing the dimensionality of the input data through the computing of features which accurately describe the…

计算机视觉与模式识别 · 计算机科学 2020-05-14 Thomas Lacombe , Hugues Favreliere , Maurice Pillet

We consider scattered data approximation on product regions of equal and different dimensionality. On each of these regions, we assume quasi-uniform but unstructured data sites and construct optimal sparse grids for scattered data…

数值分析 · 数学 2026-04-24 Michael Griebel , Helmut Harbrecht , Michael Multerer

There is a broad need in the neuroscience community to understand and visualize large-scale recordings of neural activity, big data acquired by tens or hundreds of electrodes simultaneously recording dynamic brain activity over minutes to…

神经元与认知 · 定量生物学 2015-11-24 Bingni W. Brunton , Lise A. Johnson , Jeffrey G. Ojemann , J. Nathan Kutz

For reentry or near space communication, owing to the influence of the time-varying plasma sheath channel environment, the received IQ baseband signals are severely rotated on the constellation. Researches have shown that the frequency of…

信号处理 · 电气工程与系统科学 2019-05-31 Haoyan Liu , Yanming Liu , Ming Yang , Xiaoping Li

This paper introduces an extended tensor decomposition (XTD) method for model reduction. The proposed method is based on a sparse non-separated enrichment to the conventional tensor decomposition, which is expected to improve the…

数值分析 · 数学 2023-11-07 Ye Lu , Satyajit Mojumder , Jiachen Guo , Yangfan Li , Wing Kam Liu

We propose a new technique for obtaining reduced order models for nonlinear dynamical systems. Specifically, we advocate the use of the recently developed Dynamic Mode Decomposition (DMD), an equation-free method, to approximate the…

数值分析 · 数学 2016-02-17 Alessandro Alla , J. Nathan Kutz

Dynamic Mode Decomposition (DMD) is a data-driven method for approximating the spatiotemporal modes of a system. The eigenvectors and eigenvalues of the system are approximated from a series of time-snapshots of the state variables. The…

计算工程、金融与科学 · 计算机科学 2026-04-17 William Bennett , Ryan G. McClarren , Ethan Smith , Melek Derman

Dataset distillation compresses large training sets into compact synthetic datasets while preserving downstream performance. As modern systems increasingly operate on paired vision-language inputs, multimodal distillation must preserve…

计算机视觉与模式识别 · 计算机科学 2026-05-25 Jongoh Jeong , Hoyong Kwon , Minseok Kim , Kuk-Jin Yoon

Deep metric learning aims to learn embeddings that contain semantic similarity information among data points. To learn better embeddings, methods to generate synthetic hard samples have been proposed. Existing methods of synthetic hard…

计算机视觉与模式识别 · 计算机科学 2020-04-24 Geonmo Gu , Byungsoo Ko

The task of dataset distillation aims to find a small set of synthetic images such that training a model on them reproduces the performance of the same model trained on a much larger dataset of real samples. Existing distillation methods…

计算机视觉与模式识别 · 计算机科学 2025-11-21 George Cazenavette , Antonio Torralba , Vincent Sitzmann

Recently, it has become evident that submodularity naturally captures widely occurring concepts in machine learning, signal processing and computer vision. Consequently, there is need for efficient optimization procedures for submodular…

机器学习 · 计算机科学 2013-11-19 Stefanie Jegelka , Francis Bach , Suvrit Sra

The direct sampling method (DSM) has been introduced for non-iterative imaging of small inhomogeneities and is known to be fast, robust, and effective for inverse scattering problems. However, to the best of our knowledge, a full analysis…

数值分析 · 数学 2018-09-26 Sangwoo Kang , Marc Lambert , Won-Kwang Park

Fully sparse 3D detection has attracted an increasing interest in the recent years. However, the sparsity of the features in these frameworks challenges the generation of proposals because of the limited diffusion process. In addition, the…

计算机视觉与模式识别 · 计算机科学 2024-09-12 Tianran Liu , Morteza Mousa Pasandi , Robert Laganiere

We address the estimation of seismic wavefields by means of Multidimensional Deconvolution (MDD) for various redatuming applications. While offering more accuracy than conventional correlation-based redatuming methods, MDD faces challenges…

数值分析 · 数学 2024-04-03 Daria Sushnikova , Matteo Ravasi , David Keyes