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Compressive Sensing (CS) stipulates that a sparse signal can be recovered from a small number of linear measurements, and that this recovery can be performed efficiently in polynomial time. The framework of model-based compressive sensing…

信息论 · 计算机科学 2015-04-22 Chinmay Hegde , Piotr Indyk , Ludwig Schmidt

We address the two fundamental problems of spatial field reconstruction and sensor selection in het- erogeneous sensor networks. We consider the case where two types of sensors are deployed: the first consists of expensive, high quality…

信号处理 · 电气工程与系统科学 2018-05-09 Pengfei Zhang , Ido Nevat , Gareth W. Peters , Francois Septier , Michael A. Osborne

Reconstruction of fine-scale information from sparse data is relevant to many practical fluid dynamic applications where the sensing is typically sparse. Fluid flows in an ideal sense are manifestations of nonlinear multiscale PDE dynamical…

计算物理 · 物理学 2020-10-28 Chen Lu , Balaji Jayaraman

The success of the compressed sensing paradigm has shown that a substantial reduction in sampling and storage complexity can be achieved in certain linear and non-adaptive estimation problems. It is therefore an advisable strategy for…

信息论 · 计算机科学 2014-08-27 Peter Jung , Philipp Walk

Recent breakthrough results in compressed sensing (CS) have established that many high dimensional objects can be accurately recovered from a relatively small number of non- adaptive linear projection observations, provided that the objects…

机器学习 · 统计学 2011-11-30 Akshay Soni , Jarvis Haupt

Spatial regression of random fields based on potentially biased sensing information is proposed in this paper. One major concern in such applications is that since it is not known a-priori what the accuracy of the collected data from each…

信号处理 · 电气工程与系统科学 2020-09-04 Qikun Xiang , Ido Nevat , Gareth W. Peters

The dynamic mode decomposition (DMD) is a data-driven approach that extracts the dominant features from spatiotemporal data. In this work, we introduce sparse-mode DMD, a new variant of the optimized DMD framework that specifically…

机器学习 · 统计学 2025-07-29 Sara M. Ichinaga , Steven L. Brunton , Aleksandr Y. Aravkin , J. Nathan Kutz

We develop a new model for spatial random field reconstruction of a binary-valued spatial phenomenon. In our model, sensors are deployed in a wireless sensor network across a large geographical region. Each sensor measures a non-Gaussian…

信号处理 · 电气工程与系统科学 2023-12-12 Shunan Sheng , Qikun Xiang , Ido Nevat , Ariel Neufeld

Hyperspectral imaging (HSI) shows great promise for surgical applications, offering detailed insights into biological tissue differences beyond what the naked eye can perceive. Refined labelling efforts are underway to train vision systems…

计算机视觉与模式识别 · 计算机科学 2025-10-07 Junwen Wang , Oscar Maccormac , William Rochford , Aaron Kujawa , Jonathan Shapey , Tom Vercauteren

The discovery of governing differential equations from data is an open frontier in machine learning. The sparse identification of nonlinear dynamics (SINDy) \citep{brunton_discovering_2016} framework enables data-driven discovery of…

机器学习 · 计算机科学 2023-10-10 Mozes Jacobs , Bingni W. Brunton , Steven L. Brunton , J. Nathan Kutz , Ryan V. Raut

High-resolution remote sensing images contain densely distributed objects with pronounced scale variations and complex boundaries, which impose higher demands on both the geometric localization and semantic prediction capabilities of…

计算机视觉与模式识别 · 计算机科学 2026-04-21 Jianzheng Wang , Huan Ni

Accurate electrochemical models are essential for the safe and efficient operation of lithium-ion batteries in real-world applications such as electrified vehicles and grid storage. Reduced-order models (ROM) offer a balance between…

系统与控制 · 电气工程与系统科学 2025-07-02 Samuel Filgueira da Silva , Mehmet Fatih Ozkan , Faissal El Idrissi , Marcello Canova

Spatially distributed functional data are prevalent in many statistical applications such as meteorology, energy forecasting, census data, disease mapping, and neurological studies. Given their complex and high-dimensional nature,…

统计理论 · 数学 2024-02-06 Suneel Babu Chatla , Ruiqi Liu

Advanced diffusion magnetic resonance imaging (dMRI) techniques, like diffusion spectrum imaging (DSI) and high angular resolution diffusion imaging (HARDI), remain underutilized compared to diffusion tensor imaging because the scan times…

计算机视觉与模式识别 · 计算机科学 2017-08-04 Evan Schwab , René Vidal , Nicolas Charon

We present a fast and accurate method for dense depth reconstruction from sparsely sampled light fields obtained using a synchronized camera array. In our method, the source images are over-segmented into non-overlapping compact superpixels…

图像与视频处理 · 电气工程与系统科学 2018-12-18 Aleksandra Chuchvara , Attila Barsi , Atanas Gotchev

In compressed sensing, a small number of linear measurements can be used to reconstruct an unknown signal. Existing approaches leverage assumptions on the structure of these signals, such as sparsity or the availability of a generative…

机器学习 · 统计学 2018-08-02 Manik Dhar , Aditya Grover , Stefano Ermon

Single Index Models (SIMs) are simple yet flexible semi-parametric models for machine learning, where the response variable is modeled as a monotonic function of a linear combination of features. Estimation in this context requires learning…

机器学习 · 统计学 2016-12-01 Nikhil Rao , Ravi Ganti , Laura Balzano , Rebecca Willett , Robert Nowak

Hyperspectral imaging (HSI) is an advanced sensing modality that simultaneously captures spatial and spectral information, enabling non-invasive, label-free analysis of material, chemical, and biological properties. This Primer presents a…

计算机视觉与模式识别 · 计算机科学 2026-02-10 Danfeng Hong , Chenyu Li , Naoto Yokoya , Bing Zhang , Xiuping Jia , Antonio Plaza , Paolo Gamba , Jon Atli Benediktsson , Jocelyn Chanussot

Generating dense physical fields from sparse measurements is a fundamental question in sampling, signal processing, and many other applications. State-of-the-art methods either use spatial statistics or rely on examples of dense fields in…

机器学习 · 统计学 2026-01-29 Ofek Aloni , Barak Fishbain

Hyperspectral Imaging (HSI) serves as a non-destructive spatial spectroscopy technique with a multitude of potential applications. However, a recurring challenge lies in the limited size of the target datasets, impeding exhaustive…

计算机视觉与模式识别 · 计算机科学 2023-09-21 Hannah Frank , Leon Amadeus Varga , Andreas Zell