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Machine learning (ML) starts to be widely used to enhance the performance of multi-user multiple-input multiple-output (MU-MIMO) receivers. However, it is still unclear if such methods are truly competitive with respect to conventional…

Information Theory · Computer Science 2021-07-01 Mathieu Goutay , Fayçal Ait Aoudia , Jakob Hoydis , Jean-Marie Gorce

Solving an integer least squares (ILS) problem usually consists of two stages: reduction and search. This thesis is concerned with the reduction process for the ordinary ILS problem and the ellipsoid-constrained ILS problem. For the…

Optimization and Control · Mathematics 2015-03-17 Mazen Al Borno

Symbol detection for Massive Multiple-Input Multiple-Output (MIMO) is a challenging problem for which traditional algorithms are either impractical or suffer from performance limitations. Several recently proposed learning-based approaches…

Signal Processing · Electrical Eng. & Systems 2019-06-12 Mehrdad Khani , Mohammad Alizadeh , Jakob Hoydis , Phil Fleming

Broadband signal transmission over frequency-selective fading channel often requires accurate channel state information at receiver. One of the most attracting adaptive channel estimation methods is least mean square (LMS) algorithm.…

Information Theory · Computer Science 2013-04-16 Guan Gui , Abolfazl Mehbodniya , Fumiyuki Adachi

Face recognition has achieved great progress owing to the fast development of the deep neural network in the past a few years. As an important part of deep neural networks, a number of the loss functions have been proposed which…

Computer Vision and Pattern Recognition · Computer Science 2020-02-05 Xin Wei , Hui Wang , Bryan Scotney , Huan Wan

Wave equation techniques have been an integral part of geophysical imaging workflows to investigate the Earth's subsurface. Least-squares reverse time migration (LSRTM) is a linearized inversion problem that iteratively minimizes a misfit…

Computational Physics · Physics 2019-12-11 Janaki Vamaraju , Jeremy Vila , Mauricio Araya-Polo , Debanjan Datta , Mohamed Sidahmed , Mrinal Sen

We revisit the moving least squares (MLS) approximation scheme on the sphere $\mathbb S^{d-1} \subset \mathbb R^d$, where $d>1$. It is well known that using the spherical harmonics up to degree $L \in \mathbb N$ as ansatz space yields for…

Numerical Analysis · Mathematics 2024-10-25 Ralf Hielscher , Tim Pöschl

This paper studies the asymptotic properties of the adaptive elastic net in ultra-high dimensional sparse linear regression models and proposes a new method called SSLS (Separate Selection from Least Squares) to improve prediction accuracy.…

Methodology · Statistics 2014-10-15 Yuehan Yang , Hu Yang

The common method to estimate an unknown integer parameter vector in a linear model is to solve an integer least squares (ILS) problem. A typical approach to solving an ILS problem is sphere decoding. To make a sphere decoder faster, the…

Information Theory · Computer Science 2014-06-18 Xiao-Wen Chang , Jinming Wen , Xiaohu Xie

This paper deals with the implementation of Least Mean Square (LMS) algorithm in Decision Feedback Equalizer (DFE) for removal of Inter Symbol Interference (ISI) at the receiver. The channel disrupts the transmitted signal by spreading it…

Artificial Intelligence · Computer Science 2012-08-13 Mohammad Havaei , Nandivada Krishna Prasad , Velleshala Sudheer

The discrete nature of transmitted symbols poses challenges for achieving optimal detection in multiple-input multiple-output (MIMO) systems associated with a large number of antennas. Recently, the combination of two powerful machine…

Signal Processing · Electrical Eng. & Systems 2024-12-11 Xingyu Zhou , Le Liang , Jing Zhang , Chao-Kai Wen , Shi Jin

Recently, deep learning-based algorithms are widely adopted due to the advantage of being able to establish anomaly detection models without or with minimal domain knowledge of the task. Instead, to train the artificial neural network more…

Machine Learning · Computer Science 2023-04-17 YeongHyeon Park

The max-log-map (MLM) receiver is an approximated version of the well-known, Bahl-Cocke-Jelinek-Raviv (BCJR) algorithm. The MLM algorithm is attractive due to its implementation simplicity. In practice, sliding-window implementations are…

Information Theory · Computer Science 2013-04-12 Fabian Lim , Aleksandar Kavcic

Error syndromes for heavy hexagonal code and other topological codes such as surface code have typically been decoded by using Minimum Weight Perfect Matching (MWPM) based methods. Recent advances have shown that topological codes can be…

Even though machine learning (ML) techniques are being widely used in communications, the question of how to train communication systems has received surprisingly little attention. In this paper, we show that the commonly used binary…

Information Theory · Computer Science 2023-03-08 Reinhard Wiesmayr , Gian Marti , Chris Dick , Haochuan Song , Christoph Studer

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

We study the reconstruction of discrete-valued sparse signals from underdetermined systems of linear equations. On the one hand, classical compressed sensing (CS) is designed to deal with real-valued sparse signals. On the other hand,…

Information Theory · Computer Science 2013-10-10 Susanne Sparrer , Robert F. H. Fischer

Multi-segment reconstruction (MSR) problem consists of recovering a signal from noisy segments with unknown positions of the observation windows. One example arises in DNA sequence assembly, which is typically solved by matching short reads…

Signal Processing · Electrical Eng. & Systems 2018-02-27 Mona Zehni , Minh N. Do , Zhizhen Zhao

Separable nonlinear least squares (SNLS)problem is a special class of nonlinear least squares (NLS)problems, whose objective function is a mixture of linear and nonlinear functions. It has many applications in many different areas,…

Computational Geometry · Computer Science 2016-11-17 Wajeb Gharibi , Omar Saeed Al-Mushayt

Low complexity joint estimation of synchronization impairments and channel in a single-user MIMO-OFDM system is presented in this letter. Based on a system model that takes into account the effects of synchronization impairments such as…

Information Theory · Computer Science 2013-04-30 Renu Jose , Sooraj K. Ambat , K. V. S. Hari
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