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Compressive sensing is a novel approach that linearly samples sparse or compressible signals at a rate much below the Nyquist-Shannon sampling rate and outperforms traditional signal processing techniques in acquiring and reconstructing…

Information Theory · Computer Science 2019-01-03 Ramin Ayanzadeh , Seyedahmad Mousavi , Milton Halem , Tim Finin

The dynamic mode decomposition (DMD) has become a leading tool for data-driven modeling of dynamical systems, providing a regression framework for fitting linear dynamical models to time-series measurement data. We present a simple…

Numerical Analysis · Mathematics 2017-04-11 Travis Askham , J. Nathan Kutz

Deep neural networks (DNNs) frequently contain far more weights, represented at a higher precision, than are required for the specific task which they are trained to perform. Consequently, they can often be compressed using techniques such…

Machine Learning · Computer Science 2020-12-03 Vinu Joseph , Saurav Muralidharan , Animesh Garg , Michael Garland , Ganesh Gopalakrishnan

Loss functions and sample mining strategies are essential components in deep metric learning algorithms. However, the existing loss function or mining strategy often necessitate the incorporation of additional hyperparameters, notably the…

Multimedia · Computer Science 2024-05-01 Xiruo Jiang , Yazhou Yao , Sheng Liu , Fumin Shen , Liqiang Nie , Xiansheng Hua

Compressive Sensing, which offers exact reconstruction of sparse signal from a small number of measurements, has tremendous potential for trajectory compression. In order to optimize the compression, trajectory compression algorithms need…

Information Theory · Computer Science 2013-07-29 Rajib Rana , Mingrui Yang , Tim Wark , Chun Tung Chou , Wen Hu

In this work, we approach the problem of finding the zeros of a continuous and monotone operator through a second-order dynamical system with a damping term of the form $1/t^{r}$, where $r\in [0, 1]$. The system features the time derivative…

Optimization and Control · Mathematics 2024-07-23 Radu Ioan Bot , David Alexander Hulett , Dang-Khoa Nguyen

A new framework of compressive sensing (CS), namely statistical compressive sensing (SCS), that aims at efficiently sampling a collection of signals that follow a statistical distribution and achieving accurate reconstruction on average, is…

Computer Vision and Pattern Recognition · Computer Science 2010-10-22 Guoshen Yu , Guillermo Sapiro

This work introduces Differential Wavelet Amplifier (DWA), a drop-in module for wavelet-based image Super-Resolution (SR). DWA invigorates an approach recently receiving less attention, namely Discrete Wavelet Transformation (DWT). DWT…

Image and Video Processing · Electrical Eng. & Systems 2024-03-08 Brian B. Moser , Stanislav Frolov , Federico Raue , Sebastian Palacio , Andreas Dengel

Compressed sensing theory indicates that selecting a few measurements independently at random is a near optimal strategy to sense sparse or compressible signals. This is infeasible in practice for many acquisition devices that acquire sam-…

Applications · Statistics 2013-07-26 Nicolas Chauffert , Philippe Ciuciu , Jonas Kahn , Pierre Weiss

We present a data compression and dimensionality reduction scheme for data fusion and aggregation applications to prevent data congestion and reduce energy consumption at network connecting points such as cluster heads and gateways. Our…

Networking and Internet Architecture · Computer Science 2014-08-14 Mohammad Abu Alsheikh , Puay Kai Poh , Shaowei Lin , Hwee-Pink Tan , Dusit Niyato

Compressed sensing can increase resolution, and decrease electron dose and scan time of electron microscope point-scan systems with minimal information loss. Building on a history of successful deep learning applications in compressed…

Image and Video Processing · Electrical Eng. & Systems 2019-10-28 Jeffrey M. Ede

Efficient time series forecasting is essential for smart energy systems, enabling accurate predictions of energy demand, renewable resource availability, and grid stability. However, the growing volume of high-frequency data from sensors…

Computational Engineering, Finance, and Science · Computer Science 2025-05-06 Mikkel Bue Lykkegaard , Svend Vendelbo Nielsen , Akanksha Upadhyay , Mikkel Bendixen Copeland , Philipp Trénell

In scenarios where obtaining real-time labels proves challenging, conventional approaches may result in sub-optimal performance. This paper presents an optimal strategy for streaming contexts with limited labeled data, introducing an…

Machine Learning · Computer Science 2024-04-25 Rene Richard , Nabil Belacel

Based on $\alpha$-stable random projections with small $\alpha$, we develop a simple algorithm for compressed sensing (sparse signal recovery) by utilizing only the signs (i.e., 1-bit) of the measurements. Using only 1-bit information of…

Methodology · Statistics 2015-11-12 Ping Li

Classical signal recovery based on $\ell_1$ minimization solves the least squares problem with all available measurements via sparsity-promoting regularization. In practice, it is often the case that not all measurements are available or…

Machine Learning · Statistics 2018-12-12 Luoluo Liu , Sang Peter Chin , Trac D. Tran

In this paper, we consider the joint design of data compression and 802.15.4-based medium access control (MAC) protocol for smartgrids with renewable energy. We study the setting where a number of nodes, each of which comprises electricity…

Information Theory · Computer Science 2015-06-30 Le Thanh Tan , Long Bao Le

The potential of large tactile arrays to improve robot perception for safe operation in human-dominated environments and of high-resolution tactile arrays to enable human-level dexterous manipulation is well accepted. However, the increase…

Robotics · Computer Science 2017-05-16 Brayden Hollis , Stacy Patterson , Jeff Trinkle

Active sensing refers to the process of choosing or tuning a set of sensors in order to track an underlying system in an efficient and accurate way. In a wireless environment, among the several kinds of features extracted by traditional…

Information Theory · Computer Science 2016-05-30 Alessandro Biason , Urbashi Mitra , Michele Zorzi

With input sizes becoming massive, coresets -- small yet representative summary of the input -- are relevant more than ever. A weighted set $C_w$ that is a subset of the input is an $\varepsilon$-coreset if the cost of any feasible solution…

Data Structures and Algorithms · Computer Science 2020-09-29 Monika Henzinger , Sagar Kale

Compressed sensing is a processing method that significantly reduces the number of measurements needed to accurately resolve signals in many fields of science and engineering. We develop a two-dimensional (2D) variant of compressed sensing…

Quantum Physics · Physics 2012-07-17 J. N. Sanders , S. Mostame , S. K. Saikin , X. Andrade , J. R. Widom , A. H. Marcus , A. Aspuru-Guzik