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Spectral estimators are fundamental in lowrank matrix models and arise throughout machine learning and statistics, with applications including network analysis, matrix completion and PCA. These estimators aim to recover the leading…

Statistics Theory · Mathematics 2025-02-17 Hao Yan , Keith Levin

Local image feature matching under large appearance, viewpoint, and distance changes is challenging yet important. Conventional methods detect and match tentative local features across the whole images, with heuristic consistency checks to…

Computer Vision and Pattern Recognition · Computer Science 2022-02-24 Ying Chen , Dihe Huang , Shang Xu , Jianlin Liu , Yong Liu

The problem of robust mean estimation in high dimensions is studied, in which a certain fraction (less than half) of the datapoints can be arbitrarily corrupted. Motivated by compressive sensing, the robust mean estimation problem is…

Applications · Statistics 2022-12-08 Aditya Deshmukh , Jing Liu , Venugopal V. Veeravalli

Passive source localization is a well known inverse problem in which we convert the observed measurements into information about the direction of arrivals. In this paper we focus on the optimal resolution of such problem. More precisely, we…

Information Theory · Computer Science 2015-06-15 Rémy Boyer , Mohammed Nabil El Korso , Alexandre Renaux , Sylvie Marcos

We develop an optimization algorithm, using simulated annealing for the quantification of patterns in astronomical data based on techniques developed for robotic vision applications. The methodology falls in the category of cost…

Instrumentation and Methods for Astrophysics · Physics 2020-09-09 Maria Chira , Manolis Plionis

The method of location and spectral estimation of weak signals on a noise background is being considered. The method is based on the optimized on order and noise dispersion autoregressive model of a sought signal. A new approach of model…

Computational Engineering, Finance, and Science · Computer Science 2007-07-03 Yu. Bunyak , O. Bunyak

Co-registration of multimodal remote sensing images is still an ongoing challenge because of nonlinear radiometric differences (NRD) and significant geometric distortions (e.g., scale and rotation changes) between these images. In this…

Computer Vision and Pattern Recognition · Computer Science 2022-03-01 Yuanxin Ye , Bai Zhu , Tengfeng Tang , Chao Yang , Qizhi Xu , Guo Zhang

Estimation of User Terminals' (UTs') Angle of Arrival (AoA) plays a significant role in the next generation of wireless systems. Due to high demands, energy efficiency concerns, and scarcity of available resources, it is pivotal how these…

Information Theory · Computer Science 2022-08-16 Masoud Arash , Ivan Stupia , Luc Vandendorpe

Visual object tracking is a challenging computer vision task with numerous real-world applications. Here we propose a simple but efficient Spectral Filter Tracking (SFT)method. To characterize rotational and translation invariance of…

Computer Vision and Pattern Recognition · Computer Science 2017-07-19 Zhen Cui , You yi Cai , Wen ming Zheng , Jian Yang

This work focuses on assessing the information-theoretic limits of scene parameter estimation in plenoptic imaging systems. A general framework to compute lower bounds on the parameter estimation error from noisy plenoptic observations is…

Image and Video Processing · Electrical Eng. & Systems 2026-02-03 Abhinav V. Sambasivan , Liam J. Coulter , Richard G. Paxman , Jarvis D. Haupt

Multiple antenna arrays play a key role in wireless networks for communications but also localization and sensing. The use of large antenna arrays pushes towards a propagation regime in which the wavefront is no longer plane but spherical.…

Signal Processing · Electrical Eng. & Systems 2021-12-06 Andrea De Jesus Torres , Antonio Alberto D'Amico , Luca Sanguinetti , Moe Z. Win

This paper examines the problem of estimating the parameters of a bandlimited signal from samples corrupted by random jitter (timing noise) and additive iid Gaussian noise, where the signal lies in the span of a finite basis. For the…

Applications · Statistics 2015-03-24 Daniel S. Weller , Vivek K Goyal

The problem of astrometry is revisited from the perspective of analyzing the attainability of well-known performance limits (the Cramer-Rao bound) for the estimation of the relative position of light-emitting (usually point-like) sources on…

Instrumentation and Methods for Astrophysics · Physics 2018-09-05 Sebastian Espinosa , Jorge F. Silva , Rene A. Mendez , Rodrigo Lobos , Marcos Orchard

Spectral Estimation (SpecEst) is a core area of signal processing with a history spanning two centuries and applications across various fields. With the advent of digital acquisition, SpecEst algorithms have been widely applied to tasks…

Signal Processing · Electrical Eng. & Systems 2025-05-07 Ruiming Guo , Ayush Bhandari

In this work, the uplink channel estimation problem is considered for a millimeter wave (mmWave) multi-input multi-output (MIMO) system. It is well known that pilot overhead and computation complexity in estimating the channel increases…

Information Theory · Computer Science 2023-02-07 Rakesh Mundlamuri , Rajeev Gangula , Christo Kurisummoottil Thomas , Florian Kaltenberger , Walid Saad

Cost-effective localization methods for Autonomous Underwater Vehicle (AUV) navigation are key for ocean monitoring and data collection at high resolution in time and space. Algorithmic solutions suitable for real-time processing that…

Robotics · Computer Science 2025-03-12 Ellen Davenport , Khoa Nguyen , Junsu Jang , Clair Ma , Sean Fish , Luc Lenain , Florian Meyer

The Bayesian Cram\'er-Rao bound (CRB) provides a lower bound on the mean square error of any Bayesian estimator under mild regularity conditions. It can be used to benchmark the performance of statistical estimators, and provides a…

Machine Learning · Statistics 2024-09-09 Evan Scope Crafts , Xianyang Zhang , Bo Zhao

Weak lensing statistics is typically measured as weighted sum of shear estimators or their products (shear-shear correlation). The weighting schemes are designed in the hope of minimizing the statistical error without introducing systematic…

Cosmology and Nongalactic Astrophysics · Physics 2017-04-24 Jun Zhang , Pengjie Zhang , Wentao Luo

In the context of joint communication and sensing JC&S, the challenge of obtaining accurate parameter estimates is of interest. Parameter estimates, such as the AoA can be utilized for solving the initial access problem, interference…

Signal Processing · Electrical Eng. & Systems 2026-01-08 Carl Collmann , Ahmad Nimr , Gerhard Fettweis

We consider the problem of estimating how well a model class is capable of fitting a distribution of labeled data. We show that it is often possible to accurately estimate this "learnability" even when given an amount of data that is too…

Machine Learning · Computer Science 2019-03-26 Weihao Kong , Gregory Valiant