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In this paper we propose a new algorithm for streaming principal component analysis. With limited memory, small devices cannot store all the samples in the high-dimensional regime. Streaming principal component analysis aims to find the…

机器学习 · 统计学 2018-02-16 Puyudi Yang , Cho-Jui Hsieh , Jane-Ling Wang

Thanks to the rapid proliferation of connected devices, sensor-generated time series constitute a large and growing portion of the world's data. Often, this data is collected from distributed, resource-constrained devices and centralized at…

性能 · 计算机科学 2018-08-09 Davis Blalock , Samuel Madden , John Guttag

The traditional compressed sensing approach is naturally offline, in that it amounts to sparsely sampling and reconstructing a given dataset. Recently, an online algorithm for performing compressed sensing on streaming data was proposed:…

最优化与控制 · 数学 2016-05-10 Pantelis Sopasakis , Nikolaos Freris , Panagiotis Patrinos

Compressed sensing in MRI enables high subsampling factors while maintaining diagnostic image quality. This technique enables shortened scan durations and/or improved image resolution. Further, compressed sensing can increase the diagnostic…

图像与视频处理 · 电气工程与系统科学 2019-03-20 Joseph Y. Cheng , Feiyu Chen , Christopher Sandino , Morteza Mardani , John M. Pauly , Shreyas S. Vasanawala

Modern computational science and engineering applications are being improved by the advances in scientific machine learning. Data-driven methods such as Dynamic Mode Decomposition (DMD) can extract coherent structures from spatio-temporal…

图形学 · 计算机科学 2022-08-17 Gabriel F. Barros , Malú Grave , José J. Camata , Alvaro L. G. A. Coutinho

Inferring the evolution of high-dimensional and multi-modal (e.g., spatio-temporal) physical fields from irregular sparse measurements in real time is a fundamental challenge in science and engineering. Existing approaches, including…

机器学习 · 计算机科学 2026-05-12 Panqi Chen , Yifan Sun , Shikai Fang , Xiao Fu , Lei Cheng

Despite the success of existing tensor factorization methods, most of them conduct a multilinear decomposition, and rarely exploit powerful modeling frameworks, like deep neural networks, to capture a variety of complicated interactions in…

机器学习 · 计算机科学 2020-07-16 Shikai Fang , Zheng Wang , Zhimeng Pan , Ji Liu , Shandian Zhe

Compression is a crucial solution for data reduction in modern scientific applications due to the exponential growth of data from simulations, experiments, and observations. Compression with progressive retrieval capability allows users to…

分布式、并行与集群计算 · 计算机科学 2025-04-08 Zhuoxun Yang , Sheng Di , Longtao Zhang , Ruoyu Li , Ximiao Li , Jiajun Huang , Jinyang Liu , Franck Cappello , Kai Zhao

Present day computational fluid dynamics simulations generate extremely large amounts of data, sometimes on the order of TB/s. Often, a significant fraction of this data is discarded because current storage systems are unable to keep pace.…

计算工程、金融与科学 · 计算机科学 2021-03-03 Heather Pacella , Alec Dunton , Alireza Doostan , Gianluca Iaccarino

Problems involving the efficient arrangement of simple objects, as captured by bin packing and makespan scheduling, are fundamental tasks in combinatorial optimization. These are well understood in the traditional online and offline cases,…

数据结构与算法 · 计算机科学 2026-01-27 Graham Cormode , Pavel Veselý

The Dynamic Mode Decomposition (DMD) and the more general Extended DMD (EDMD) are powerful tools for computational analysis of dynamical systems in data-driven scenarios. They are built on the theoretical foundation of the Koopman…

数值分析 · 数学 2026-04-06 Zlatko Drmač , Ela Đimoti

In this paper, we study streaming algorithms that minimize the number of changes made to their internal state (i.e., memory contents). While the design of streaming algorithms typically focuses on minimizing space and update time, these…

数据结构与算法 · 计算机科学 2024-06-12 Rajesh Jayaram , David P. Woodruff , Samson Zhou

In order to extract governing equations from time-series data, various approaches are proposed. Among those, sparse identification of nonlinear dynamics (SINDy) stands out as a successful method capable of modeling governing equations with…

信号处理 · 电气工程与系统科学 2024-06-07 Jinho Choi

As the use of neuromorphic, event-based vision sensors expands, the need for compression of their output streams has increased. While their operational principle ensures event streams are spatially sparse, the high temporal resolution of…

计算机视觉与模式识别 · 计算机科学 2024-03-14 Daniel C. Stumpp , Himanshu Akolkar , Alan D. George , Ryad Benosman

Cardinality constrained submodular function maximization, which aims to select a subset of size at most $k$ to maximize a monotone submodular utility function, is the key in many data mining and machine learning applications such as data…

数据结构与算法 · 计算机科学 2018-11-15 Junzhou Zhao , Shuo Shang , Pinghui Wang , John C. S. Lui , Xiangliang Zhang

Recently, the bio-inspired spike camera with continuous motion recording capability has attracted tremendous attention due to its ultra high temporal resolution imaging characteristic. Such imaging feature results in huge data storage and…

计算机视觉与模式识别 · 计算机科学 2023-06-27 Kexiang Feng , Chuanmin Jia , Siwei Ma , Wen Gao

There has been much interest in deploying deep learning algorithms on low-powered devices, including smartphones, drones, and medical sensors. However, full-scale deep neural networks are often too resource-intensive in terms of energy and…

计算机视觉与模式识别 · 计算机科学 2022-09-20 Yoshitomo Matsubara , Ruihan Yang , Marco Levorato , Stephan Mandt

We formulate a low-storage method for performing dynamic mode decomposition that can be updated inexpensively as new data become available; this formulation allows dynamical information to be extracted from large datasets and data streams.…

流体动力学 · 物理学 2015-06-22 Maziar S. Hemati , Matthew O. Williams , Clarence W. Rowley

We introduce a new computational model for data streams: asymptotically exact streaming algorithms. These algorithms have an approximation ratio that tends to one as the length of the stream goes to infinity while the memory used by the…

数据结构与算法 · 计算机科学 2014-08-11 Marc Heinrich , Alexander Munteanu , Christian Sohler

Many well-known, real-world problems involve dynamic data which describe the relationship among the entities. Hypergraphs are powerful combinatorial structures that are frequently used to model such data. For many of today's data-centric…

数据结构与算法 · 计算机科学 2021-03-10 Fatih Taşyaran , Berkay Demireller , Kamer Kaya , Bora Uçar