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As the key component that facilitates long-haul transmission in optical fiber communications by increasing capacity and reducing costs, accurate characterization and gain settings of erbium-doped fiber amplifiers (EDFAs) are essential for…

光学 · 物理学 2025-02-24 Xiaotian Jiang , Jiawei Dong , Yuchen Song , Jin Li , Min Zhang , Danshi Wang

In this paper, a purely measurement-based method is proposed to estimate the dynamic system state matrix by applying the regression theorem of the multivariate Ornstein-Uhlenbeck process. The proposed method employs a recursive algorithm to…

信号处理 · 电气工程与系统科学 2019-05-29 Hao Sheng , Xiaozhe Wang

The performance of data fusion and tracking algorithms often depends on parameters that not only describe the sensor system, but can also be task-specific. While for the sensor system tuning these variables is time-consuming and mostly…

机器学习 · 计算机科学 2024-01-29 André Brandenburger , Folker Hoffmann , Alexander Charlish

We theoretically investigate parameter quantum estimation in quantum chaotic systems. Our analysis is based on an effective description of non-integrable quantum systems in terms of a random matrix Hamiltonian. Based on this approach we…

We describe a compact and reliable method to calculate the Fisher information for the estimation of a dynamical parameter in a continuously measured linear Gaussian quantum system. Unlike previous methods in the literature, which involve…

量子物理 · 物理学 2017-06-08 Marco G. Genoni

We propose a new parametrization for the estimation and identification of the impulse-response functions (IRFs) of dynamic factor models (DFMs). The theoretical contribution of this paper concerns the problem of observational equivalence…

计量经济学 · 经济学 2022-02-23 Juho Koistinen , Bernd Funovits

This paper presents a method for identifying mechanical parameters of robots or objects, such as their mass and friction coefficients. Key features are the use of off-the-shelf physics engines and the adaptation of a Bayesian optimization…

机器人学 · 计算机科学 2018-06-14 Shaojun Zhu , Andrew Kimmel , Kostas E. Bekris , Abdeslam Boularias

We present a novel parameter identification algorithm for the estimation of parameters in models of cell motility using imaging data of migrating cells. Two alternative formulations of the objective functional that measures the difference…

Fisher information is a lower bound on the uncertainty in the statistical estimation of classical and quantum mechanical parameters. While some deterministic dynamical systems are not subject to random fluctuations, they do still have a…

经典物理 · 物理学 2023-10-06 Mohamed Sahbani , Swetamber Das , Jason R. Green

The estimation of static parameters in dynamical systems and control theory has been extensively studied, with significant progress made in estimating varying parameters in specific system types. Suppose, in the general case, we have data…

最优化与控制 · 数学 2025-07-10 Jamiree Harrison , Enoch Yeung

Efficiently estimating system dynamics from data is essential for minimizing data collection costs and improving model performance. This work addresses the challenge of designing future control inputs to maximize information gain, thereby…

系统与控制 · 电气工程与系统科学 2025-04-29 Joshua Ott , Mykel J. Kochenderfer , Stephen Boyd

In power system dynamic simulation, up to 90% of the computational time is devoted to solve the network equations, i.e., a set of linear equations. Traditional approaches are based on sparse LU factorization, which is inherently sequential.…

系统与控制 · 电气工程与系统科学 2021-07-06 Lu Zhang , Bin Wang , Vivek Sarin , Weiping Shi , P. R. Kumar , Le Xie

In this document, some general results in approximation theory and matrix analysis with applications to sparse identification of time series models and nonlinear discrete-time dynamical systems are presented. The aforementioned theoretical…

数值分析 · 数学 2021-08-04 Fredy Vides

A wide range of user perception applications leverage inertial measurement unit (IMU) data for online prediction. However, restricted by the non-i.i.d. nature of IMU data collected from mobile devices, most systems work well only in a…

人工智能 · 计算机科学 2025-12-02 Yunzhe Li , Facheng Hu , Hongzi Zhu , Quan Liu , Xiaoke Zhao , Jiangang Shen , Shan Chang , Minyi Guo

The concepts of sparsity, and regularised estimation, have proven useful in many high-dimensional statistical applications. Dynamic factor models (DFMs) provide a parsimonious approach to modelling high-dimensional time series, however, it…

统计方法学 · 统计学 2023-03-22 Luke Mosley , Tak-Shing T. Chan , Alex Gibberd

We present a novel physics-informed system identification method to construct a passive linear time-invariant system. In more detail, for a given quadratic energy functional, measurements of the input, state, and output of a system in the…

动力系统 · 数学 2023-02-13 Riccardo Morandin , Jonas Nicodemus , Benjamin Unger

System identification is a key enabling component for the implementation of quantum technologies, including quantum control. In this paper, we consider the class of passive linear input-output systems, and investigate several basic…

量子物理 · 物理学 2016-05-09 Madalin Guta , Naoki Yamamoto

This paper considers the problem of state tracking with observation control for a particular class of dynamical systems. The system state evolution is described by a discrete-time, finite-state Markov chain, while the measurement process is…

系统与控制 · 计算机科学 2014-08-20 Daphney-Stavroula Zois , Urbashi Mitra

We present a method to estimate the quantum Fisher information (QFI) of many-body quantum states in the presence of decoherence, where its direct evaluation requires the full spectral resolution of the density matrix. We show that, for…

量子物理 · 物理学 2026-05-25 Francesco Musso , Vittorio Vitale , Sara Murciano

The Fisher information matrix (FIM) plays an essential role in statistics and machine learning as a Riemannian metric tensor or a component of the Hessian matrix of loss functions. Focusing on the FIM and its variants in deep neural…

机器学习 · 统计学 2020-09-29 Ryo Karakida , Shotaro Akaho , Shun-ichi Amari