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Intelligent vehicles in autonomous driving and obstacle avoidance, the precise relative state of vehicles put forward a higher demand. For a vehicle-borne sensor network with time-varying transmission delays, the problem of coordinate…

Systems and Control · Electrical Eng. & Systems 2022-09-27 Hang Yu , Keren Dai , Haojie Li , Yao Zou , Xiang Ma , Shaojie Ma , He Zhang

The current algorithms are based on linear model, for example, Precision Time Protocol (PTP) which requires frequent synchronization in order to handle the effects of clock frequency drift. This paper introduces a nonlinear approach to…

Machine Learning · Computer Science 2019-03-05 Frank Wang , Danjue Li

We introduce a computationally efficient variant of the model-based ensemble Kalman filter (EnKF). We propose two changes to the original formulation. First, we phrase the setup in terms of precision matrices instead of covariance matrices,…

Methodology · Statistics 2023-03-01 Håkon Gryvill , Håkon Tjelmeland

Atomic clusters presents an isolated system that models the bulk materials whose mechanism of HHG remains uncertain, and a promising medium to produce HHG beyond the limited conversion efficiency for gaseous atoms. Here we reveal that the…

Optics · Physics 2016-06-07 Na Li , Peng Liu , Ya Bai , Peng Peng , Ruxin Li , Zhizhan Xu

In this paper, we address the distributed filtering and prediction of time-varying random fields represented by linear time-invariant (LTI) dynamical systems. The field is observed by a sparsely connected network of agents/sensors…

Information Theory · Computer Science 2016-10-14 Subhro Das , José M. F. Moura

Ensemble methods in machine learning aim to improve prediction accuracy by combining multiple models. This is achieved by ensuring diversity among predictors to capture different data aspects. Homogeneous ensembles use identical models,…

Quantum Physics · Physics 2025-11-04 Emiliano Tolotti , Enrico Blanzieri , Davide Pastorello

A new ensemble filter that allows for the uncertainty in the prior distribution is proposed and tested. The filter relies on the conditional Gaussian distribution of the state given the model-error and predictability-error covariance…

Data Analysis, Statistics and Probability · Physics 2016-12-19 Michael Tsyrulnikov , Alexander Rakitko

Data assimilation combines dynamical models with observations to improve state estimates. Ensemble filters sequentially assimilate observations by updating a set of samples over time, alternating between a forecast and an analysis step.…

Computation · Statistics 2026-05-26 Mathieu Le Provost , Jan Glaubitz , Youssef Marzouk

Deployment of optimization algorithms over communication networks face challenges associated with time delays and corruptions. Fixed time delays can destabilize popular gradient-based algorithms, and this degradation is exacerbated by…

Optimization and Control · Mathematics 2026-03-12 Jared Miller , Fabian Jakob , Carsten Scherer , Andrea Iannelli

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 article is concerned with the convergence of the state estimate obtained from the discrete time Kalman filter to the continuous time estimate as the temporal discretization is refined. We derive convergence rate estimates for different…

Optimization and Control · Mathematics 2015-12-10 Atte Aalto

In this paper, the Ensemble Kalman Filter is compared with a 4DVAR Data Assimilation System in chaotic dynamics. The Lorenz model is chosen for its simplicity in structure and its dynamical similarities with primitive equation models, such…

Chaotic Dynamics · Physics 2026-04-13 Fabrício Pereira Harter , Cleber Souza Corrêa

The use of data assimilation for the merging of observed data with dynamical models is becoming standard in modern physics. If a parametric model is known, methods such as Kalman filtering have been developed for this purpose. If no model…

Data Analysis, Statistics and Probability · Physics 2018-01-17 Franz Hamilton , Tyrus Berry , Timothy Sauer

Optical clocks based on ensembles of trapped ions offer the perspective of record frequency uncertainty with good short-term stability. Most suitable atomic species lack closed transitions for fast detection such that the clock signal has…

Atomic Physics · Physics 2016-01-15 Marius Schulte , Niels Lörch , Ian D. Leroux , Piet O. Schmidt , Klemens Hammerer

We present two types of meta-algorithm that can greatly improve the accuracy of existing algorithms for integrating the equations of motion of dynamical systems. The first meta-algorithm takes an integrator that is time-symmetric only for…

Astrophysics · Physics 2007-05-23 Piet Hut , Yoko Funato , Eiichiro Kokubo , Junichiro Makino , Steve McMillan

We consider the problem of PMU-based state estimation combining information coming from ubiquitous power demand time series and only a limited number of PMUs. Conversely to recent literature in which synchrophasor devices are often assumed…

Optimization and Control · Mathematics 2020-10-06 Marco Todescato , Ruggero Carli , Luca Schenato , Grazia Barchi

In this paper, we propose a robust Kalman filtering framework for systems with probabilistic uncertainty in system parameters. We consider two cases, namely discrete time systems, and continuous time systems with discrete measurements. The…

Systems and Control · Electrical Eng. & Systems 2020-07-09 Sunsoo Kim , Vedang M. Deshpande , Raktim Bhattacharya

Smoothing is essential to many oceanographic, meteorological and hydrological applications. The interval smoothing problem updates all desired states within a time interval using all available observations. The fixed-lag smoothing problem…

Chaotic Dynamics · Physics 2015-06-26 S. Ravela , D. McLaughlin

On noisy intermediate-scale quantum (NISQ) devices, expectation values of many observables are obtained through sampling-based approximations to trace-like quantities. A central limitation of this approach is destructive cancellation under…

Quantum Physics · Physics 2026-05-06 Myeongsu Kim , Manas Sajjan , Sabre Kais

Accurate electricity consumption forecasting is essential for demand management and smart grid operations. This paper introduces a unified deep learning framework that integrates cyclical temporal encoding with hybrid LSTM-CNN architectures…

Machine Learning · Computer Science 2025-12-04 Salim Khazem , Houssam Kanso