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In this paper we are interested in the solution of Compressed Sensing (CS) problems where the signals to be recovered are sparse in coherent and redundant dictionaries. CS problems of this type are convex with non-smooth and non-separable…

最优化与控制 · 数学 2014-06-02 Ioannis Dassios , Kimon Fountoulakis , Jacek Gondzio

In this letter, we consider the problem of detecting a high dimensional signal based on compressed measurements with physical layer secrecy guarantees. We assume that the network operates in the presence of an eavesdropper who intends to…

信息论 · 计算机科学 2015-06-02 Bhavya Kailkhura , Sijia Liu , Thakshila Wimalajeewa , Pramod K. Varshney

Solving the optimal symbol detection problem in multiple-input multiple-output (MIMO) systems is known to be NP-hard. Hence, the objective of any detector of practical relevance is to get reasonably close to the optimal solution while…

信号处理 · 电气工程与系统科学 2023-03-20 Nicolas Zilberstein , Chris Dick , Rahman Doost-Mohammady , Ashutosh Sabharwal , Santiago Segarra

This paper addresses the challenge of a particular class of noisy state observations in Markov Decision Processes (MDPs), a common issue in various real-world applications. We focus on modeling this uncertainty through a confusion matrix…

机器学习 · 计算机科学 2023-12-15 Amirhossein Afsharrad , Sanjay Lall

We propose a novel method for compressed sensing recovery using untrained deep generative models. Our method is based on the recently proposed Deep Image Prior (DIP), wherein the convolutional weights of the network are optimized to match…

Massive multiple-input multiple-output (MIMO) enjoys great advantage in 5G wireless communication systems owing to its spectrum and energy efficiency. However, hundreds of antennas require large volumes of pilot overhead to guarantee…

信号处理 · 电气工程与系统科学 2023-09-26 An Chen , Wenbo Xu , Liyang Lu , Yue Wang

In recent years, Compressed Sensing (CS) has gained significant interest as a technique for acquiring high-resolution sensory data using fewer measurements than traditional Nyquist sampling requires. At the same time, autonomous robotic…

机器人学 · 计算机科学 2025-07-25 Alghalya Al-Hajri , Ejmen Al-Ubejdij , Aiman Erbad , Ali Safa

We show that for complex nonlinear systems, model reduction and compressive sensing strategies can be combined to great advantage for classifying, projecting, and reconstructing the relevant low-dimensional dynamics. $\ell_2$-based…

动力系统 · 数学 2015-09-10 Steven L. Brunton , Jonathan H. Tu , Ido Bright , J. Nathan Kutz

Compressed sensing techniques enable efficient acquisition and recovery of sparse, high-dimensional data signals via low-dimensional projections. In this work, we propose Uncertainty Autoencoders, a learning framework for unsupervised…

机器学习 · 统计学 2019-04-15 Aditya Grover , Stefano Ermon

Efficiently estimating system dynamics from data is essential for minimizing data collection costs and improving model performance. This work addresses the challenge of designing future control inputs to maximize information gain, thereby…

系统与控制 · 电气工程与系统科学 2025-04-29 Joshua Ott , Mykel J. Kochenderfer , Stephen Boyd

Knowledge about existence, strength, and dominant direction of causal influences is of paramount importance for understanding complex systems. With limited amounts of realistic data, however, current methods for investigating causal links…

数据分析、统计与概率 · 物理学 2020-10-20 Erik Laminski , Klaus R. Pawelzik

Compressed sensing (CS) is an important theory for sub-Nyquist sampling and recovery of compressible data. Recently, it has been extended by Pham and Venkatesh to cope with the case where corruption to the CS data is modeled as impulsive…

信息论 · 计算机科学 2012-12-03 Duc Son Pham , Svetha Venkatesh

The burgeoning volume of digital content across diverse modalities necessitates efficient storage and retrieval methods. Conventional approaches struggle to cope with the escalating complexity and scale of multimedia data. In this paper, we…

人工智能 · 计算机科学 2024-04-17 Jixiang Luo

Sparse Identification of Nonlinear Dynamics (SINDy) is a method of system discovery that has been shown to successfully recover governing dynamical systems from data (Brunton et al., PNAS, '16; Rudy et al., Sci. Adv. '17). Recently, several…

数值分析 · 数学 2021-07-28 Daniel A. Messenger , David M. Bortz

A compressed sensing method consists of a rectangular measurement matrix, $M \in \mathbbm{R}^{m \times N}$ with $m \ll N$, together with an associated recovery algorithm, $\mathcal{A}: \mathbbm{R}^m \rightarrow \mathbbm{R}^N$. Compressed…

信息论 · 计算机科学 2013-02-26 M. A. Iwen

Massive multiple-input multiple-output (MIMO) is a promising approach for cellular communication due to its energy efficiency and high achievable data rate. These advantages, however, can be realized only when channel state information…

信息论 · 计算机科学 2015-04-01 Min Soo Sim , Jeonghun Park , Chan-Byoung Chae , Robert W. Heath

In this paper, we investigate the energy efficiency of conventional collaborative compressive sensing (CCCS) scheme, focusing on balancing the tradeoff between energy efficiency and detection accuracy in cognitive radio environment. In…

A high-ranking goal of interdisciplinary modeling approaches in the natural sciences are quantitative prediction of system dynamics and model based optimization. For this purpose, mathematical modeling, numerical simulation and scientific…

最优化与控制 · 数学 2015-03-17 Dominik Skanda , Dirk Lebiedz

Dense image matching is a fundamental low-level problem in Computer Vision, which has received tremendous attention from both discrete and continuous optimization communities. The goal of this paper is to combine the advantages of discrete…

计算机视觉与模式识别 · 计算机科学 2016-01-26 Alexander Shekhovtsov , Christian Reinbacher , Gottfried Graber , Thomas Pock

Mixed-integer optimisation problems can be computationally challenging. Here, we introduce and analyse two efficient algorithms with a specific sequential design that are aimed at dealing with sampled problems within this class. At each…

最优化与控制 · 数学 2023-03-07 Mohammadreza Chamanbaz , Roland Bouffanais
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