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In this paper we propose a new fast splitting algorithm to solve the Weighted Split Bregman minimization problem in the backward step of an accelerated Forward-Backward algorithm. Beside proving the convergence of the method, numerical…

Numerical Analysis · Mathematics 2018-10-01 D. Lazzaro , E. Loli Piccolomini , F. Zama

The problem of the real-time microwave imaging of small, moving objects from a scattering matrix, whose elements are measured scattering parameters, without diagonal elements is considered herein. An imaging algorithm based on a Kirchhoff…

Numerical Analysis · Mathematics 2025-10-13 Seong-Ho Son , Kwang-Jae Lee , Won-Kwang Park

We investigate the multiple-input multiple-output broadcast channel with statistical channel state information available at the transmitter. The so-called linear assignment operation is employed, and necessary conditions are derived for the…

Information Theory · Computer Science 2015-06-22 Yongpeng Wu , Shi Jin , Xiqi Gao , Matthew R. McKay , Chengshan Xiao

Channel estimation poses significant challenges in millimeter-wave massive multiple-input multiple-output systems, especially when the base station has fewer radio-frequency chains than antennas. To address this challenge, one promising…

Information Theory · Computer Science 2024-08-07 Pengxia Wu , Julian Cheng , Yonina C. Eldar , John M. Cioffi

The optimal design of wireless networks has been widely studied in the literature and many optimization models have been proposed over the years. However, most models directly include the signal-to-interference ratios representing service…

Optimization and Control · Mathematics 2017-05-01 Fabio D'Andreagiovanni , Ambros Gleixner

The sliding window model of computation captures scenarios in which data are continually arriving in the form of a stream, and only the most recent $w$ items are used for analysis. In this setting, an algorithm needs to accurately track…

Cryptography and Security · Computer Science 2024-06-13 Yiping Wang , Yanhao Wang , Cen Chen

Classically, anisotropic surface wave tomography is treated as an optimisation problem where it proceeds through a linearised two-step approach. It involves the construction of 2D group or phase velocity maps for each considered period,…

Geophysics · Physics 2020-12-08 John Keith Magali

We propose a new unsupervised anomaly detection method based on the sliced-Wasserstein distance for training data selection in machine learning approaches. Our filtering technique is interesting for decision-making pipelines deploying…

Machine Learning · Computer Science 2025-04-18 Julien Pallage , Antoine Lesage-Landry

Beamforming-capable antenna arrays overcome the high free-space path loss at higher carrier frequencies. However, the beams must be properly aligned to ensure that the highest power is radiated towards (and received by) the user equipment…

Systems and Control · Electrical Eng. & Systems 2022-09-15 George Yammine , Georgios Kontes , Norbert Franke , Axel Plinge , Christopher Mutschler

In recent years, the security related to data over the internet has become a major issue. Different techniques are used to secure the information, one such technique is steganography. In steganography, one can have a cover media as an…

Cryptography and Security · Computer Science 2022-02-02 P N Priya , R Ranjitha , Yashaswini Naik , Shrilekha , Rama Moorthy H

Given a full rank matrix $X$ with more columns than rows, consider the task of estimating the pseudo inverse $X^+$ based on the pseudo inverse of a sampled subset of columns (of size at least the number of rows). We show that this is…

Machine Learning · Computer Science 2018-06-07 Michał Dereziński , Manfred K. Warmuth

Multi-wavelength astronomical studies brings a wealth of science within reach. One way to achieve a cross-wavelength analysis is via `stacking', i.e. combining precise positional information from an image at one wavelength with data from…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-14 Song Chen , Jonathan T. L. Zwart , Mario G. Santos

This work proposes to reduce visibility data volume using a baseline-dependent lossy compression technique that preserves smearing at the edges of the field-of-view. We exploit the relation of the rank of a matrix and the fact that a…

Instrumentation and Methods for Astrophysics · Physics 2023-04-17 M Atemkeng , S Perkins , E Seck , S Makhathini , O Smirnov , L Bester , B Hugo

Assume we are given a sum of linear measurements of $s$ different rank-$r$ matrices of the form $y = \sum_{k=1}^{s} \mathcal{A}_k ({X}_k)$. When and under which conditions is it possible to extract (demix) the individual matrices ${X}_k$…

Information Theory · Computer Science 2017-03-30 Thomas Strohmer , Ke Wei

Data for several applications in diverse fields can be represented as multiple matrices that are linked across rows or columns. This is particularly common in molecular biomedical research, in which multiple molecular "omics" technologies…

Machine Learning · Statistics 2024-08-02 Eric F. Lock

Data from a network of gravitational wave detectors can be analyzed in coincidence to increase detection confidence and reduce non-stationarity of the background. We propose and explore a geometric algorithm to combine the data from a…

General Relativity and Quantum Cosmology · Physics 2009-02-20 C. A. K. Robinson , B. S. Sathyaprakash , Anand S. Sengupta

The CLEAN algorithm, widely used in radio interferometry for the deconvolution of radio images, performs well only if the raw radio image (dirty image) is, to good approximation, a simple convolution between the instrumental point-spread…

Instrumentation and Methods for Astrophysics · Physics 2015-05-28 I. M. Stewart , D. M. Fenech , T. W. B. Muxlow

Modeling information that resides on vertices of large graphs is a key problem in several real-life applications, ranging from social networks to the Internet-of-things. Signal Processing on Graphs and, in particular, graph wavelets can…

Data Structures and Algorithms · Computer Science 2016-06-14 Arlei Silva , Xuan-Hong Dang , Prithwish Basu , Ambuj K Singh , Ananthram Swami

Paper cutting is a simple process of slicing large rolls of paper, jumbo-reels, into various sub-rolls with variable widths based on demands risen by customers. Since the variability is high due to collected various orders into a pool, the…

Other Computer Science · Computer Science 2013-04-09 Mehmet E. Aydin , Osman Taylan

We study a variant of the median problem for a collection of point sets in high dimensions. This generalizes the geometric median as well as the (probabilistic) smallest enclosing ball (pSEB) problems. Our main objective and motivation is…

Computational Geometry · Computer Science 2019-03-04 Amer Krivošija , Alexander Munteanu