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We address the problem of phase retrieval (PR) from quantized measurements. The goal is to reconstruct a signal from quadratic measurements encoded with a finite precision, which is indeed the case in many practical applications. We develop…

Machine Learning · Computer Science 2018-10-03 Subhadip Mukherjee , Chandra Sekhar Seelamantula

Cross-fitting is a key ingredient in many semiparametric estimation procedures, such as double/debiased machine learning (DML), enabling valid estimation of low-dimensional targets in the presence of high-dimensional nuisance functions by…

Computation · Statistics 2026-05-18 Etienne Peyrot , François Petit

Graph transformers have demonstrated remarkable capability on complex spatio-temporal tasks, yet their depth is often limited by oversmoothing and weak long-range dependency modeling. To address these challenges, we introduce GRIT-LP, a…

Machine Learning · Computer Science 2025-11-25 Zesheng Liu , Maryam Rahnemoonfar

In urban environments, where line-of-sight signals from GNSS satellites are frequently blocked by high-rise objects, GNSS receivers are subject to large errors in measuring satellite ranges. Heuristic methods are commonly used to estimate…

Machine Learning · Computer Science 2024-03-01 Amir Jalalirad , Davide Belli , Bence Major , Songwon Jee , Himanshu Shah , Will Morrison

This paper proposes a method for estimating a surface that contains a given set of points from noisy measurements. More precisely, by assuming that the surface is described by the zero set of a function in the span of a given set of…

Systems and Control · Electrical Eng. & Systems 2026-04-07 Omar M. Sleem , Sahand Kiani , Constantino M. Lagoa

In signal processing and data recovery, reconstructing a signal from quadratic measurements poses a significant challenge, particularly in high-dimensional settings where measurements $m$ is far less than the signal dimension $n$ (i.e., $m…

Information Theory · Computer Science 2025-07-11 Jinming Wen , Yi Hu , Meng Huang

Reconstructing a signal from squared linear (rank-one quadratic) measurements is a challenging problem with important applications in optics and imaging, where it is known as phase retrieval. This paper proposes two new phase retrieval…

Information Theory · Computer Science 2016-09-21 Cheng Qian , Nicholas D. Sidiropoulos , Kejun Huang , Lei Huang , H. C. So

Passive remote sensing techniques have become more and more popular for detection and characterization purposes. The advantage of using the Global Navigation Satellite Systems (GNSS) are the well known signals emitted and the availability…

Atmospheric and Oceanic Physics · Physics 2013-12-23 Arnaud Coatanhay , Alexandre Baussard

This paper is concerned about sparse, continuous frequency estimation in line spectral estimation, and focused on developing gridless sparse methods which overcome grid mismatches and correspond to limiting scenarios of existing grid-based…

Information Theory · Computer Science 2023-07-19 Zai Yang , Lihua Xie

Bundle Adjustment (BA) has been proven to improve the accuracy of the LiDAR mapping. However, the BA method has not yet been properly employed in a dead-reckoning navigation system. In this paper, we present a frame-to-frame (F2F) BA for…

Robotics · Computer Science 2024-02-13 Hailiang Tang , Tisheng Zhang , Liqiang Wang , Man Yuan , Xiaoji Niu

Global Positioning System (GPS) is a satellite network that transmits regularly encoded information and makes it possible to pinpoint the exact location on Earth by measuring the distance between satellites and the receiver. While GPS…

Systems and Control · Computer Science 2018-03-23 Mehmet Serdar Güzel , Erkan Meral

In compressive sensing, it is challenging to reconstruct image of high quality from very few noisy linear projections. Existing methods mostly work well on piecewise constant images but not so well on piecewise smooth images such as natural…

Optimization and Control · Mathematics 2021-02-18 Jing Qin , Weihong Guo

In this paper, we present a novel algorithm for quantifying uncertainty and information gained within 3D Gaussian Splatting (3D-GS) through P-Optimality. While 3D-GS has proven to be a useful world model with high-quality rasterizations, it…

Computer Vision and Pattern Recognition · Computer Science 2025-03-27 Joey Wilson , Marcelino Almeida , Sachit Mahajan , Martin Labrie , Maani Ghaffari , Omid Ghasemalizadeh , Min Sun , Cheng-Hao Kuo , Arnab Sen

We consider the joint estimation of multipath channels obtained with a set of receiving antennas and uniformly probed in the frequency domain. This scenario fits most of the modern outdoor communication protocols for mobile access or…

Systems and Control · Computer Science 2012-04-23 Y. Barbotin , M. Vetterli

We propose a computer-efficient and accurate method of estimation of spatially correlated errors in astrometric positions, parallaxes and proper motions obtained by space and ground-based astrometry missions. In our method, the simulated…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 V. V. Makarov , B. N. Dorland , R. A. Gaume , G. S. Hennessy , C. T. Berghea , R. P. Dudik , H. R. Schmitt

Subgraph isomorphism, also known as subgraph matching, is typically regarded as an NP-complete problem. This complexity is further compounded in practical applications where edge weights are real-valued and may be affected by measurement…

Machine Learning · Statistics 2025-06-24 Arpan Kusari , Wenbo Sun

High-precision astrometry offers a promising approach to detect low-frequency gravitational waves, complementing pulsar timing array (PTA) observations. We explore the response of astrometric measurements to a stochastic gravitational wave…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-25 N. M. Jiménez Cruz , Ameek Malhotra , Gianmassimo Tasinato , Ivonne Zavala

We analyse the performance of a communication link assisted by an intelligent reflective surface (IRS) positioned in the far field of both the source and the destination. A direct link between the transmitting and receiving devices is…

Signal Processing · Electrical Eng. & Systems 2020-08-25 Tianxiong Wang , Gaojie Chen , Justin P. Coon , Mihai-Alin Badiu

Accurate geo-registration of LiDAR point clouds remains a significant challenge in urban environments where Global Navigation Satellite System (GNSS) signals are denied or degraded. Existing methods typically rely on real-time GNSS and…

Computer Vision and Pattern Recognition · Computer Science 2026-01-22 Xinyu Wang , Muhammad Ibrahim , Haitian Wang , Atif Mansoor , Xiuping Jia , Ajmal Mian

Most existing point cloud completion methods are only applicable to partial point clouds without any noises and outliers, which does not always hold in practice. We propose in this paper an end-to-end network, named CS-Net, to complete the…

Computer Vision and Pattern Recognition · Computer Science 2022-03-21 Changfeng Ma , Yang Yang , Jie Guo , Chongjun Wang , Yanwen Guo