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Optimal sensor placement is essential for minimizing costs and ensuring accurate state estimation in power systems. This paper introduces a novel method for optimal sensor placement for dynamic state estimation of power systems modeled by…

Systems and Control · Electrical Eng. & Systems 2025-02-06 Milos Katanic , Yi Guo , John Lygeros , Gabriela Hug

A greedy algorithm is proposed for sparse-sensor selection in reduced-order sensing that contains correlated noise in measurement. The sensor selection is carried out by maximizing the determinant of the Fisher information matrix in a…

Optimization and Control · Mathematics 2021-04-28 Keigo Yamada , Yuji Saito , Koki Nankai , Taku Nonomura , Keisuke Asai , Daisuke Tsubakino

Our objective is to efficiently design a robust projection matrix $\Phi$ for the Compressive Sensing (CS) systems when applied to the signals that are not exactly sparse. The optimal projection matrix is obtained by mainly minimizing the…

Machine Learning · Computer Science 2017-09-07 Tao Hong , Zhihui Zhu

Bayesian optimal sensor placement, in its full generality, seeks to maximize the mutual information between uncertain model parameters and the predicted data to be collected from the sensors for the purpose of performing Bayesian inference.…

Applications · Statistics 2019-06-17 Pinaky Bhattacharyya , James L. Beck

Estimating the size of hidden populations using Multiple Systems Estimation (MSE) is a critical task in quantitative sociology; however, practical application is often hindered by imperfect administrative data and computational constraints.…

Applications · Statistics 2026-01-12 Joseph Marsh , Nathan A. Judd , Lax Chan , Rowland G. Seymour

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…

Information Theory · Computer Science 2013-02-26 M. A. Iwen

The multiple measurement vector problem (MMV) is a generalization of the compressed sensing problem that addresses the recovery of a set of jointly sparse signal vectors. One of the important contributions of this paper is to reveal that…

Information Theory · Computer Science 2016-01-20 Jong Chul Ye , Jong Min Kim , Yoram Bresler

The problem of estimating sparse eigenvectors of a symmetric matrix attracts a lot of attention in many applications, especially those with high dimensional data set. While classical eigenvectors can be obtained as the solution of a…

Machine Learning · Statistics 2016-11-03 Konstantinos Benidis , Ying Sun , Prabhu Babu , Daniel P. Palomar

Weakly supervised object detection is a challenging task when provided with image category supervision but required to learn, at the same time, object locations and object detectors. The inconsistency between the weak supervision and…

Computer Vision and Pattern Recognition · Computer Science 2019-02-19 Fang Wan , Pengxu Wei , Zhenjun Han , Jianbin Jiao , Qixiang Ye

Sparse optimization is a central problem in machine learning and computer vision. However, this problem is inherently NP-hard and thus difficult to solve in general. Combinatorial search methods find the global optimal solution but are…

Optimization and Control · Mathematics 2020-06-30 Ganzhao Yuan , Li Shen , Wei-Shi Zheng

A general framework for solving image inverse problems is introduced in this paper. The approach is based on Gaussian mixture models, estimated via a computationally efficient MAP-EM algorithm. A dual mathematical interpretation of the…

Computer Vision and Pattern Recognition · Computer Science 2010-06-16 Guoshen Yu , Guillermo Sapiro , Stéphane Mallat

Continuously optimizing sensor placement is essential for precise target localization in various military and civilian applications. While information theory has shown promise in optimizing sensor placement, many studies oversimplify sensor…

Sparse subspace clustering (SSC) using greedy-based neighbor selection, such as matching pursuit (MP) and orthogonal matching pursuit (OMP), has been known as a popular computationally-efficient alternative to the conventional…

Machine Learning · Statistics 2020-02-04 Jwo-Yuh Wu , Wen-Hsuan Li , Liang-Chi Huang , Yen-Ping Lin , Chun-Hung Liu , Rung-Hung Gau

We propose an iterative channel estimation algorithm based on the Least Square Estimation (LSE) and Sparse Message Passing (SMP) algorithm for the Millimeter Wave (mmWave) MIMO systems. The channel coefficients of the mmWave MIMO are…

Information Theory · Computer Science 2022-06-23 Chongwen Huang , Lei Liu , Chau Yuen , Sumei Sun

Sparsity constrained minimization captures a wide spectrum of applications in both machine learning and signal processing. This class of problems is difficult to solve since it is NP-hard and existing solutions are primarily based on…

Optimization and Control · Mathematics 2018-12-31 Ganzhao Yuan , Bernard Ghanem

Compressed Sensing (CS) is a novel technique for simultaneous signal sampling and compression based on the existence of a sparse representation of signal and a projected dictionary $PD$, where $P\in\mathbb{R}^{m\times d}$ is the projection…

Information Theory · Computer Science 2018-04-25 Canyi Lu , Huan Li , Zhouchen Lin

Convex relaxations of the optimal finger selection algorithm are proposed for a minimum mean square error (MMSE) Rake receiver in an impulse radio ultra-wideband system. First, the optimal finger selection problem is formulated as an…

Information Theory · Computer Science 2016-11-17 Sinan Gezici , Mung Chiang , H. Vincent Poor , Hisashi Kobayashi

Massive spatial modulation (SM)-MIMO, which employs massive low-cost antennas but few power-hungry transmit radio frequency (RF) chains at the transmitter, is recently proposed to provide both high spectrum efficiency and energy efficiency…

Information Theory · Computer Science 2016-11-15 Zhen Gao , Linglong Dai , Chenhao Qi , Chau Yuen , Zhaocheng Wang

We investigate the theoretical foundations of a recently introduced entropy-based formulation of weighted least squares for the approximation of overdetermined linear systems, motivated by robust data fitting in the presence of sparse gross…

Numerical Analysis · Mathematics 2026-03-17 Felice Iavernaro , Monica Lazzo , Lorenzo Pisani

Mean squared error (MSE) is one of the most widely used metrics to expression differences between multi-dimensional entities, including images. However, MSE is not locally sensitive as it does not take into account the spatial arrangement…

Computer Vision and Pattern Recognition · Computer Science 2022-06-02 Amogh Gudi , Fritjof Büttner , Jan van Gemert
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