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Many complex systems in biology, physics, and engineering include a large number of state-variables, and measuring the full state of the system is often impossible. Typically, a set of sensors is used to measure part of the state-variables.…

Optimization and Control · Mathematics 2020-06-09 Eyal Weiss , Michael Margaliot

In the field of medical image analysis, deep learning models have demonstrated remarkable success in enhancing diagnostic accuracy and efficiency. However, the reliability of these models is heavily dependent on the quality of training…

Image and Video Processing · Electrical Eng. & Systems 2024-07-12 Maolin Li , Giacomo Tarroni

A new algorithm is proposed for a) unsupervised learning of sparse representations from subsampled measurements and b) estimating the parameters required for linearly reconstructing signals from the sparse codes. We verify that the new…

Neurons and Cognition · Quantitative Biology 2010-11-02 Guy Isely , Christopher J. Hillar , Friedrich T. Sommer

Many of the applications of compressed sensing have been based on variable density sampling, where certain sections of the sampling coefficients are sampled more densely. Furthermore, it has been observed that these sampling schemes are…

Information Theory · Computer Science 2015-09-24 Clarice Poon

When the scale of communication networks has been growing rapidly in the past decades, it becomes a critical challenge to extract fast and accurate estimation of key state parameters of network links, e.g., transmission delays and dropped…

Networking and Internet Architecture · Computer Science 2018-12-04 Hao-Ting Wei , Sung-Hsien Hsieh , Wen-Liang Hwang , Chung-Shou Liao , Chun-Shien Lu

To accelerate deep CNN models, this paper proposes a novel spatially adaptive framework that can dynamically generate pixel-wise sparsity according to the input image. The sparse scheme is pixel-wise refined, regional adaptive under a…

Computer Vision and Pattern Recognition · Computer Science 2021-03-23 Chen Tang , Wenyu Sun , Zhuqing Yuan , Yongpan Liu

Spectro-microscopy is an experimental technique which can be used to observe spatial variations in chemical state and changes in chemical state over time or under experimental conditions. As a result it has broad applications across areas…

Medical Physics · Physics 2026-02-05 Maike Meier , Lorenzo Lazzarino , Boris Shustin , Hussam Al Daas , Paul Quinn

Extracting latent low-dimensional structure from high-dimensional data is of paramount importance in timely inference tasks encountered with `Big Data' analytics. However, increasingly noisy, heterogeneous, and incomplete datasets as well…

Machine Learning · Statistics 2015-06-19 Morteza Mardani , Gonzalo Mateos , Georgios B. Giannakis

This paper addresses the problem of estimating sparse channels in massive MIMO-OFDM systems. Most wireless channels are sparse in nature with large delay spread. In addition, these channels as observed by multiple antennas in a neighborhood…

Applications · Statistics 2015-06-22 Mudassir Masood , Laila H. Afify , Tareq Y. Al-Naffouri

Statistical inference using pairwise comparison data is an effective approach to analyzing large-scale sparse networks. In this paper, we propose a general framework to model the mutual interactions in a network, which enjoys ample…

Machine Learning · Statistics 2022-03-11 Ruijian Han , Yiming Xu , Kani Chen

We establish a general theory for subsampling network data generated by the sparse graphon model. In contrast to previous work for networks, we demonstrate validity under minimal assumptions; the main requirement is weak convergence of the…

Statistics Theory · Mathematics 2019-08-27 Robert Lunde , Purnamrita Sarkar

In this work, we explore the state-space formulation of a network process to recover, from partial observations, the underlying network topology that drives its dynamics. To do so, we employ subspace techniques borrowed from system…

Signal Processing · Electrical Eng. & Systems 2019-06-26 Mario Coutino , Elvin Isufi , Takanori Maehara , Geert Leus

Extracting governing equations from dynamic data is an essential task in model selection and parameter estimation. The form of the governing equation is rarely known a priori; however, based on the sparsity-of-effect principle one may…

Optimization and Control · Mathematics 2018-10-19 Hayden Schaeffer , Giang Tran , Rachel Ward

This paper considers the distributed sparse identification problem over wireless sensor networks such that all sensors cooperatively estimate the unknown sparse parameter vector of stochastic dynamic systems by using the local information…

Systems and Control · Electrical Eng. & Systems 2022-03-08 Die Gan , Zhixin Liu

Detection of a signal under noise is a classical signal processing problem. When monitoring spatial phenomena under a fixed budget, i.e., either physical, economical or computational constraints, the selection of a subset of available…

Signal Processing · Electrical Eng. & Systems 2018-08-01 Mario Coutino , Sundeep Prabhakar Chepuri , Geert Leus

In many signal processing applications, one wishes to acquire images that are sparse in transform domains such as spatial finite differences or wavelets using frequency domain samples. For such applications, overwhelming empirical evidence…

Computer Vision and Pattern Recognition · Computer Science 2013-10-22 Felix Krahmer , Rachel Ward

Optimized sensing is important for computational imaging in low-resource environments, when images must be recovered from severely limited measurements. In this paper, we propose a physics-constrained, fully differentiable, autoencoder that…

Image and Video Processing · Electrical Eng. & Systems 2020-03-24 He Sun , Adrian V. Dalca , Katherine L. Bouman

A traditional assumption underlying most data converters is that the signal should be sampled at a rate exceeding twice the highest frequency. This statement is based on a worst-case scenario in which the signal occupies the entire…

Information Theory · Computer Science 2015-05-13 Yonina C. Eldar

The limited and dynamically varied resources on edge devices motivate us to deploy an optimized deep neural network that can adapt its sub-networks to fit in different resource constraints. However, existing works often build sub-networks…

Computer Vision and Pattern Recognition · Computer Science 2022-07-05 Zhongnan Qu , Syed Shakib Sarwar , Xin Dong , Yuecheng Li , Ekin Sumbul , Barbara De Salvo

High dimensional piecewise stationary graphical models represent a versatile class for modelling time varying networks arising in diverse application areas, including biology, economics, and social sciences. There has been recent work in…

Machine Learning · Statistics 2018-06-21 Hossein Keshavarz , George Michailidis , Yves Atchade