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In many practical settings one can sequentially and adaptively guide the collection of future data, based on information extracted from data collected previously. These sequential data collection procedures are known by different names,…

统计理论 · 数学 2013-11-28 Ervin Tánczos , Rui M. Castro

This article explores the estimation of parameters and states for linear stochastic systems with deterministic control inputs. It introduces a novel Kalman filtering approach called Kalman Filtering with Correlated Noises Recursive…

系统与控制 · 电气工程与系统科学 2025-07-11 Abd El Mageed Hag Elamin Khalid

This paper introduces a novel framework to learn data association for multi-object tracking in a self-supervised manner. Fully-supervised learning methods are known to achieve excellent tracking performances, but acquiring identity-level…

计算机视觉与模式识别 · 计算机科学 2025-09-04 Shuai Li , Michael Burke , Subramanian Ramamoorthy , Juergen Gall

Predicting the behavior of a dynamical system from noisy observations of its past outputs is a classical problem encountered across engineering and science. For linear systems with Gaussian inputs, the Kalman filter -- the best linear…

机器学习 · 计算机科学 2026-03-10 Usman Akram , Haris Vikalo

The classic, two-component, crust-superfluid model of a neutron star can be formulated as a noise-driven, linear dynamical system, in which the angular velocities of the crust and superfluid are tracked using a Kalman filter applied to…

高能天体物理现象 · 物理学 2021-07-14 Patrick M. Meyers , Nicholas J. O'Neill , Andrew Melatos , Robin J. Evans

We formulate a recursive estimation problem for multiple dynamical systems coupled through a low dimensional stochastic input, and we propose an efficient sub-optimal solution. The suggested approach is an approximation of the Kalman filter…

最优化与控制 · 数学 2019-11-26 Leonid Pogorelyuk , Clarence W. Rowley , N. Jeremy Kasdin

The unscented Kalman filter is a nonlinear estimation algorithm commonly used in navigation applications. The prediction of the mean and covariance matrix is crucial to the stable behavior of the filter. This prediction is done by…

机器人学 · 计算机科学 2025-12-16 Amit Levy , Itzik Klein

This paper investigates the distributed Kalman filter (DKF) for linear systems, with specific attention on measurement fusion, which is a typical way of information sharing and is vital for enhancing stability and improving estimation…

信号处理 · 电气工程与系统科学 2025-04-14 Tuo Yang , Jiachen Qian , Zhisheng Duan , Zhiyong Sun

Modeling and inference with multivariate sequences is central in a number of signal processing applications such as acoustics, social network analysis, biomedical, and finance, to name a few. The linear-Gaussian state-space model is a…

最优化与控制 · 数学 2020-01-13 Émilie Chouzenoux , Víctor Elvira

The Kalman filter is an established tool for the analysis of dynamic systems with normally distributed noise, and it has been successfully applied in numerous application areas. It provides sequentially calculated estimates of the system…

系统与控制 · 计算机科学 2016-10-26 S. Eichstädt , N. Makarava , C. Elster

This paper proposes an algorithm for combined contact detection and state estimation for legged robots. The proposed algorithm models the robot's movement as a switched system, in which different modes relate to different feet being in…

机器人学 · 计算机科学 2024-04-05 Marcel Menner , Karl Berntorp

Koopman analysis provides a general framework from which to analyze a nonlinear dynamical system in terms of a linear operator acting on an infinite-dimensional observable space. This theoretical framework provides a rigorous underpinning…

动力系统 · 数学 2022-10-11 Dan Wilson

Parametric analysis is a powerful tool for designing modern embedded systems, because it permits to explore the space of design parameters, and to check the robustness of the system with respect to variations of some uncontrollable…

分布式、并行与集群计算 · 计算机科学 2013-02-07 Youcheng Sun , Romain Soulat , Giuseppe Lipari , Étienne André , Laurent Fribourg

Structural break identification methods are an important tool for evaluating the effectiveness of climate change mitigation policies. In this paper, we introduce a unified probabilistic framework for detecting structural breaks with unknown…

计量经济学 · 经济学 2026-03-06 Lucas D. Konrad , Lukas Vashold , Jesus Crespo Cuaresma

Estimation of unsteady flow fields around flight vehicles may improve flow interactions and lead to enhanced vehicle performance. Although flow-field representations can be very high-dimensional, their dynamics can have low-order…

流体动力学 · 物理学 2023-03-23 John Graff , Albert Medina , Francis Lagor

Ensemble Kalman methods are widely used for state estimation in the geophysical sciences. Their success stems from the fact that they take an underlying (possibly noisy) dynamical system as a black box to provide a systematic,…

最优化与控制 · 数学 2024-10-10 Edoardo Calvello , Sebastian Reich , Andrew M. Stuart

We develop a flexible spline-based Bayesian hidden Markov model stochastic weather generator to statistically model daily precipitation over time by season at individual locations. The model naturally accounts for missing data (considered…

应用统计 · 统计学 2022-07-19 Christopher J. Paciorek

Time delay is ubiquitous in many experimental and real-world situations. It is often unclear whether time delay plays a significant role in observed phenomena, and if it does, how long the time lag really is. This would be invaluable…

数据分析、统计与概率 · 物理学 2025-12-10 Robin A. Kopp , Sabine H. L. Klapp , Deepak Gupta

The controllability of advection-diffusion systems, subject to uncertain initial values and emission rates, is estimated, given sparse and error affected observations of prognostic state variables. In predictive geophysical model systems,…

大气与海洋物理 · 物理学 2015-03-24 Xueran Wu , Hendrik Elbern , Birgit Jacob

The aim of this work is to develop a model-based methodology for monitoring lateral track irregularities based on the use of inertial sensors mounted on an in-service train. To this end, a gyroscope is used to measure the wheelset yaw…

计算工程、金融与科学 · 计算机科学 2020-03-12 S. Munoz , J. Ros , J. L. Escalona