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In the present paper, we consider the problem of matrix completion with noise. Unlike previous works, we consider quite general sampling distribution and we do not need to know or to estimate the variance of the noise. Two new nuclear-norm…

统计理论 · 数学 2014-02-06 Olga Klopp

The readout error on near-term quantum devices is one of the dominant noise factors, which can be mitigated by classical postprocessing called quantum readout error mitigation (QREM). The standard QREM applies the inverse of noise…

量子物理 · 物理学 2025-05-16 Bo Yang , Rudy Raymond , Shumpei Uno

This paper focuses on a networked state estimation problem for a spatially large linear system with a distributed array of sensors, each of which offers partial state measurements, and the transmission is lossy. We propose a measurement…

系统与控制 · 计算机科学 2019-05-29 Tianju Sui , Damian Marelli , Ximing Sun , Minyue Fu

The problem of noise covariance matrix identification of stochastic linear time-varying state-space models is addressed. The measurement difference method (MDM) is generalized to time-varying dimensions of the measurement and control. Three…

信号处理 · 电气工程与系统科学 2024-12-11 Oliver Kost , Jindrch Dunik , Ondrej Straka

Accurate state estimation is critical for legged and aerial robots operating in dynamic, uncertain environments. A key challenge lies in specifying process and measurement noise covariances, which are typically unknown or manually tuned. In…

机器人学 · 计算机科学 2026-04-09 Denglin Cheng , Jiarong Kang , Xiaobin Xiong

This paper uses techniques from Random Matrix Theory to find the ideal training-testing data split for a simple linear regression with m data points, each an independent n-dimensional multivariate Gaussian. It defines "ideal" as satisfying…

机器学习 · 统计学 2022-07-26 Alexander Dubbs

A linear Gaussian state-space smoothing algorithm is presented for estimation of derivatives from a sequence of noisy measurements. The algorithm uses numerically stable square-root formulas, can handle simultaneous independent measurements…

统计方法学 · 统计学 2016-10-17 Robert Piche

In this work, we study the performance of sub-gradient method (SubGM) on a natural nonconvex and nonsmooth formulation of low-rank matrix recovery with $\ell_1$-loss, where the goal is to recover a low-rank matrix from a limited number of…

机器学习 · 计算机科学 2022-02-18 Jianhao Ma , Salar Fattahi

Quantum error correction can reduce the effects of noise in quantum systems, e.g. in metrology or most notably in quantum computing. Typically, this requires making measurements that provide information about the errors that have occurred…

量子物理 · 物理学 2024-12-12 Christian Wimmer , Jochen Szangolies , Michael Epping

We study the problem of controlling how a limited communication bandwidth budget is allocated across heterogeneously quantized sensor measurements. The performance criterion is the trace of the error covariance matrix of the linear minimum…

系统与控制 · 电气工程与系统科学 2026-04-02 Cameron Khanpour , Daniel Turizo , Samuel Talkington

This paper focuses on securely estimating the state of a nonlinear dynamical system from a set of corrupted measurements. In particular, we consider two broad classes of nonlinear systems, and propose a technique which enables us to perform…

系统与控制 · 计算机科学 2016-03-23 Qie Hu , Dariush Fooladivanda , Young Hwan Chang , Claire J. Tomlin

In this paper, we investigate the matrix estimation problem in the multi-response regression model with measurement errors. A nonconvex error-corrected estimator based on a combination of the amended loss function and the nuclear norm…

统计理论 · 数学 2022-09-19 Xin Li , Dongya Wu

In recent years, there has been remarkable progress in the development of so-called certifiable perception methods, which leverage semidefinite, convex relaxations to find global optima of perception problems in robotics. However, many of…

机器人学 · 计算机科学 2025-01-22 Connor Holmes , Frederike Dümbgen , Timothy D Barfoot

The problem of recovering a matrix of low rank from an incomplete and possibly noisy set of linear measurements arises in a number of areas. In order to derive rigorous recovery results, the measurement map is usually modeled…

信息论 · 计算机科学 2015-07-28 Maryia Kabanava , Richard Kueng , Holger Rauhut , Ulrich Terstiege

This paper proposes a joint input and state dynamic estimation scheme for power networks in microgrids and active distribution systems with unknown inputs. The conventional dynamic state estimation of power networks in the transmission…

系统与控制 · 电气工程与系统科学 2021-08-04 Bang L. H. Nguyen , Tuyen V. Vu , Joseph M. Guerrero , Mischael Steurer , Karl Schoder , Tuan Ngo

Many problems in data science can be treated as estimating a low-rank matrix from highly incomplete, sometimes even corrupted, observations. One popular approach is to resort to matrix factorization, where the low-rank matrix factors are…

机器学习 · 计算机科学 2021-04-23 Tian Tong , Cong Ma , Yuejie Chi

Accurately monitoring the system's operating point is central to the reliable and economic operation of an electric power grid. Power system state estimation (PSSE) aims to obtain complete voltage magnitude and angle information at each bus…

系统与控制 · 计算机科学 2018-03-14 Gang Wang , Ahmed S. Zamzam , Georgios B. Giannakis , Nicholas D. Sidiropoulos

The impedances of cables and lines used in (multi-conductor) distribution networks are usually unknown or approximated, and may lead to problematic results for any physics-based power system calculation, e.g., (optimal) power flow. Learning…

系统与控制 · 电气工程与系统科学 2025-06-06 Marta Vanin , Frederik Geth , Rahmat Heidari , Dirk Van Hertem

High-quality quantum state generation is essential for advanced quantum information processing, including quantum communication, quantum sensing, and quantum computing. In practice, various error sources degrade the quality of quantum…

We present a general denoising algorithm for performing simultaneous tomography of quantum states and measurement noise. This algorithm allows us to fully characterize state preparation and measurement (SPAM) errors present in any quantum…

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