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Low-rank plus diagonal (LRPD) decompositions provide a powerful structural model for large covariance matrices, simultaneously capturing global shared factors and localized corrections that arise in covariance estimation, factor analysis,…

Numerical Analysis · Mathematics 2025-12-22 Kingsley Yeon , Mihai Anitescu

This paper proposes a 3D LiDAR SLAM algorithm named Ground-SLAM, which exploits grounds in structured multi-floor environments to compress the pose drift mainly caused by LiDAR measurement bias. Ground-SLAM is developed based on the…

Robotics · Computer Science 2021-03-08 Xin Wei , Jixin Lv , Jie Sun , Shiliang Pu

We study a version of the randomized Kaczmarz algorithm for solving systems of linear equations where the iterates are confined to the solution space of a selected subsystem. We show that the subspace constraint leads to an accelerated…

Numerical Analysis · Mathematics 2024-06-11 Jackie Lok , Elizaveta Rebrova

The efficient solution of large-scale multiterm linear matrix equations is a challenging task in numerical linear algebra, and it is a largely open problem. We propose a new iterative scheme for symmetric and positive definite operators,…

Numerical Analysis · Mathematics 2025-05-27 Davide Palitta , Martina Iannacito , Valeria Simoncini

We address adaptive radar detection of targets embedded in ground clutter dominated environments characterized by a symmetrically structured power spectral density. At the design stage, we leverage on the spectrum symmetry for the…

Applications · Statistics 2016-05-25 A. De Maio , D. Orlando , C. Hao , G. Foglia

Matrix recovery is the problem of recovering a low-rank matrix from a few linear measurements. Recently, this problem has gained a lot of attention as it is employed in many applications such as Netflix prize problem, seismic data…

Information Theory · Computer Science 2019-07-30 Hamideh. S Fazael Ardakani , Sajad Daei , Farzan Haddadi

In this paper, a reduced-rank scheme with joint iterative optimization is presented for direction of arrival estimation. A rank-reduction matrix and an auxiliary reduced-rank parameter vector are jointly optimized to calculate the output…

Data Structures and Algorithms · Computer Science 2016-11-17 L. Wang , R. C. de Lamare , M. Haardt

This paper explores minimum sensing navigation of robots in environments cluttered with obstacles. The general objective is to find a path plan to a goal region that requires minimal sensing effort. In [1], the information-geometric RRT*…

Robotics · Computer Science 2023-03-14 Ali Reza Pedram , Takashi Tanaka

Orthogonal parameter-efficient fine-tuning (PEFT) adapts pretrained weights through structure-preserving multiplicative transformations, but existing methods often conflate two distinct design choices: the subspace in which adaptation…

Machine Learning · Computer Science 2026-05-13 Lanxin Zhao , Bamdev Mishra , Pratik Jawanpuria , Lequan Lin , Dai Shi , Junbin Gao , Andi Han

This paper proposes low-complexity robust adaptive beamforming (RAB) techniques based on shrinkage methods. We firstly briefly review a Low-Complexity Shrinkage-Based Mismatch Estimation (LOCSME) batch algorithm to estimate the desired…

Information Theory · Computer Science 2015-12-08 H. Ruan , R. C. de Lamare

We propose a clustering-based generalized low rank approximation method, which takes advantage of appealing features from both the generalized low rank approximation of matrices (GLRAM) and cluster analysis. It exploits a more general form…

Optimization and Control · Mathematics 2025-02-21 Yujun Zhu , Jie Zhu , Hizba Arshad , Zhongming Wang , Ju Ming

Simultaneous Localization and Mapping (SLAM) plays an important role in robot autonomy. Reliability and efficiency are the two most valued features for applying SLAM in robot applications. In this paper, we consider achieving a reliable…

Robotics · Computer Science 2023-10-09 Shiquan Yi , Yang Lyu , Lin Hua , Quan Pan , Chunhui Zhao

Estimation of the precision matrix (or inverse covariance matrix) is of great importance in statistical data analysis and machine learning. However, as the number of parameters scales quadratically with the dimension $p$, computation…

Computation · Statistics 2022-11-02 Qian LI , Binyan Jiang , Defeng Sun

We address the problem of structured covariance matrix estimation for radar space-time adaptive processing (STAP). A priori knowledge of the interference environment has been exploited in many previous works to enable accurate estimators…

Methodology · Statistics 2016-02-18 Bosung Kang , Vishal Monga , Muralidhar Rangaswamy , Yuri I. Abramovich

In this paper, we exploit the spiked covariance structure of the clutter plus noise covariance matrix for radar signal processing. Using state-of-the-art techniques high dimensional statistics, we propose a nonlinear shrinkage-based…

Signal Processing · Electrical Eng. & Systems 2023-02-07 Shashwat Jain , Vikram Krishnamurthy , Muralidhar Rangaswamy , Bosung Kang , Sandeep Gogineni

Subsurface stratigraphy contains important spatio-temporal information about accumulation, deformation, and layer formation in polar ice sheets. In particular, variations in internal ice layer thickness provide valuable constraints for snow…

Machine Learning · Computer Science 2026-04-14 Zesheng Liu , Maryam Rahnemoonfar

Knowledge Graphs (KGs) enhance recommender systems but face challenges from inherent noise, sparsity, and Euclidean geometry's inadequacy for complex relational structures, critically impairing representation learning, especially for…

Information Retrieval · Computer Science 2025-11-20 Binhao Wang , Yutian Xiao , Maolin Wang , Zhiqi Li , Tianshuo Wei , Ruocheng Guo , Xiangyu Zhao

Large spatial datasets are becoming ubiquitous in environmental sciences with the explosion in the amount of data produced by sensors that monitor and measure the Earth system. Consequently, the geostatistical analysis of these data…

Statistics Theory · Mathematics 2018-06-06 Thomas Romary , Nicolas Desassis

In this study, we develop a holistic framework for space-time adaptive processing (STAP) in connected and automated vehicle (CAV) radar systems. We investigate a CAV system consisting of multiple vehicles that transmit frequency-modulated…

Signal Processing · Electrical Eng. & Systems 2024-01-18 Zahra Esmaeilbeig , Kumar Vijay Mishra , Mojtaba Soltanalian

The fields of signal and image processing have been deeply influenced by the introduction of deep neural networks. These are successfully deployed in a wide range of real-world applications, obtaining state of the art results and surpassing…

Machine Learning · Computer Science 2020-10-21 Rajaei Khatib , Dror Simon , Michael Elad