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Data assimilation provides algorithms for widespread applications in various fields. It is of practical use to deal with a large amount of information in the complex system that is hard to estimate. Weather forecasting is one of the…

最优化与控制 · 数学 2023-03-23 Yihua Yang

This paper aims to introduce an application to Kalman Filtering Theory, which is rather unconventional. Recent experiments have shown that many natural phenomena, especially from ecology or meteorology, could be monitored and predicted more…

综合文献 · 计算机科学 2017-03-22 Dan Stefanoiu , Janetta Culita

Tag population estimation has recently attracted significant research attention due to its paramount importance on a variety of radio frequency identification (RFID) applications. However, most, if not all, of existing estimation mechanisms…

系统与控制 · 计算机科学 2015-11-30 Jihong Yu , Lin Chen

State estimation that combines observational data with mathematical models is central to many applications and is commonly addressed through filtering methods, such as ensemble Kalman filters. In this article, we examine the signal-tracking…

数值分析 · 数学 2025-09-08 Nazanin Abedini , Jana de Wiljes , Svetlana Dubinkina

We develop a generalization of correlated trend-cycle decompositions that avoids prior assumptions about the long-run dynamic characteristics by modelling the permanent component as a fractionally integrated process and incorporating a…

计量经济学 · 经济学 2020-05-26 Tobias Hartl , Rolf Tschernig , Enzo Weber

We study causal waveform estimation (tracking) of time-varying signals in a paradigmatic atomic sensor, an alkali vapor monitored by Faraday rotation probing. We use Kalman filtering, which optimally tracks known linear Gaussian stochastic…

This paper is concerned with the problem of distributed Kalman filtering in a network of interconnected subsystems with distributed control protocols. We consider networks, which can be either homogeneous or heterogeneous, of linear…

系统与控制 · 计算机科学 2017-11-22 Damian Marelli , Mohsen Zamani , Minyue Fu

The implementation of fringe tracking for optical interferometers is inevitable when optimal exploitation of the instrumental capacities is desired. Fringe tracking allows continuous fringe observation, considerably increasing the…

天体物理仪器与方法 · 物理学 2015-06-04 J. Menu , G. Perrin , E. Choquet , S. Lacour

We develop data-driven algorithms to fully automate sensor fault detection in systems governed by underlying physics. The proposed machine learning method uses a time series of typical behavior to approximate the evolution of measurements…

Estimating the statistics of the state of a dynamical system, from partial and noisy observations, is both mathematically challenging and finds wide application. Furthermore, the applications are of great societal importance, including…

数值分析 · 数学 2025-06-03 J. A. Carrillo , F. Hoffmann , A. M. Stuart , U. Vaes

Data assimilation is an iterative approach to the problem of estimating the state of a dynamical system using both current and past observations of the system together with a model for the system's time evolution. Rather than solving the…

数据分析、统计与概率 · 物理学 2007-05-23 Brian R. Hunt , Eric J. Kostelich , Istvan Szunyogh

We consider the problem of tracking the state of a process that evolves over time in a distributed setting, with multiple observers each observing parts of the state, which is a fundamental information processing problem with a wide range…

信息论 · 计算机科学 2019-09-04 Albin Severinson , Eirik Rosnes , Alexandre Graell i Amat

The use of Kalman filtering, as well as its nonlinear extensions, for the estimation of system variables and parameters has played a pivotal role in many fields of scientific inquiry where observations of the system are restricted to a…

动力系统 · 数学 2017-02-15 Joseph Arthur , Adam Attarian , Franz Hamilton , Hien Tran

Real-time control and estimation are pivotal for applications such as industrial automation and future healthcare. The realization of this vision relies heavily on efficient interactions with nonlinear systems. Therefore, Koopman learning,…

信息论 · 计算机科学 2025-12-19 Yutao Chen , Wei Chen

In this dissertation, we investigate the issue of robust localization in swarms of heterogeneous mobile agents with multiple and time-varying sensing modalities. Our focus is the development of filter-based and decoupled estimators under…

机器人学 · 计算机科学 2024-08-23 Roland Jung

A dynamic weighted directed graph (DWDG) is commonly encountered in various application scenarios. It involves extensive dynamic interactions among numerous nodes. Most existing approaches explore the intricate temporal patterns hidden in a…

人工智能 · 计算机科学 2024-08-01 Hongxun Zhou , Xiangyu Chen , Ye Yuan

The Kalman filter is the most powerful tool for estimation of the states of a linear Gaussian system. In addition, using this method, an expectation maximization algorithm can be used to estimate the parameters of the model. However, this…

统计计算 · 统计学 2020-06-01 Tsuyoshi Ishizone , Kazuyuki Nakamura

Estimating the state of a dynamical system from partial and noisy observations is a ubiquitous problem in a large number of applications, such as probabilistic weather forecasting and prediction of epidemics. Particle filters are a widely…

统计理论 · 数学 2025-03-21 E. Calvello , J. A. Carrillo , F. Hoffmann , P. Monmarché , A. M. Stuart , U. Vaes

Motivated by applications in movement ecology, in this paper I propose a new class of integrated continuous-time hidden Markov models in which each observation depends on the underlying state of the process over the whole interval since the…

统计方法学 · 统计学 2019-10-01 Paul G Blackwell

We develop a general framework for state estimation in systems modeled with noise-polluted continuous time dynamics and discrete time noisy measurements. Our approach is based on maximum likelihood estimation and employs the calculus of…

最优化与控制 · 数学 2026-01-16 Griffin M. Kearney , Makan Fardad
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