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Among algorithms used for sensor fusion for attitude estimation in unmanned aerial vehicles, the Extended Kalman Filter (EKF) is the most commonly used for estimation. In this paper, we propose a new version of H2 estimation called extended…

Optimization and Control · Mathematics 2020-09-08 Sunsoo Kim , Vaishnav Tadiparthi , Raktim Bhattacharya

An online Data Assimilation strategy based on the Ensemble Kalman Filter (EnKF) is used to improve the predictive capabilities of Large Eddy Simulation (LES) for the analysis of the turbulent flow in a plane channel, $Re_\tau \approx 550$.…

Fluid Dynamics · Physics 2023-10-30 Lucas Villanueva , Karine Truffin , Marcello Meldi

In this paper, we analyze the convergence of the alternating direction method of multipliers (ADMM) for minimizing a nonconvex and possibly nonsmooth objective function, $\phi(x_0,\ldots,x_p,y)$, subject to coupled linear equality…

Optimization and Control · Mathematics 2018-05-31 Yu Wang , Wotao Yin , Jinshan Zeng

A natural goal when designing online learning algorithms for non-stationary environments is to bound the regret of the algorithm in terms of the temporal variation of the input sequence. Intuitively, when the variation is small, it should…

Machine Learning · Computer Science 2021-12-08 Gautam Goel , Babak Hassibi

While anomaly detection in static networks has been extensively studied, only recently, researchers have focused on dynamic networks. This trend is mainly due to the capacity of dynamic networks in representing complex physical, biological,…

Methodology · Statistics 2017-11-15 Mostafa Reisi Gahrooei , Kamran Paynabar

We propose a Neural-Enhanced Distributed Kalman Filter (NDKF) for multi-sensor state estimation in nonlinear systems. Unlike traditional Kalman filters that rely on explicit analytical models and assume centralized fusion, NDKF leverages…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Siavash Farzan , Bennett Parisi

The paper proposes a new recursive filter for non-linear systems that inherently computes a valid bound on the mean square estimation error. The proposed filter, bound based extended Kalman, (BEKF) is in the form of an extended Kalman…

Optimization and Control · Mathematics 2014-10-02 Gyorgy Hexner , Haim Weiss

The sample covariance matrix of a random vector is a good estimate of the true covariance matrix if the sample size is much larger than the length of the vector. In high-dimensional problems, this condition is never met. As a result, in…

Data Analysis, Statistics and Probability · Physics 2024-11-12 Michael Tsyrulnikov , Arseniy Sotskiy

Kalman Filter requires the true parameters of the model and solves optimal state estimation recursively. Expectation Maximization (EM) algorithm is applicable for estimating the parameters of the model that are not available before Kalman…

Machine Learning · Computer Science 2021-05-26 Zhuangwei Shi

Advanced driver assistance systems are critically dependent on reliable and accurate information regarding a vehicles' driving state. For estimation of unknown quantities, model-based and learning-based methods exist, but both suffer from…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Jan-Hendrik Ewering , Zygimantas Ziaukas , Simon F. G. Ehlers , Thomas Seel

Linearized alternating direction method of multipliers (ADMM) as an extension of ADMM has been widely used to solve linearly constrained problems in signal processing, machine leaning, communications, and many other fields. Despite its…

Optimization and Control · Mathematics 2017-11-02 Qinghua Liu , Xinyue Shen , Yuantao Gu

We consider the problem of online prediction for an unknown, non-explosive linear stochastic system. With a known system model, the optimal predictor is the celebrated Kalman filter. In the case of unknown systems, existing approaches based…

Machine Learning · Computer Science 2025-05-15 Jiachen Qian , Yang Zheng

Extreme Learning Machine (ELM) is an emerging learning paradigm for nonlinear regression problems and has shown its effectiveness in the machine learning community. An important feature of ELM is that the learning speed is extremely fast…

Systems and Control · Computer Science 2012-11-08 Vijay Manikandan Janakiraman , Dennis Assanis

We present the Subset Extended Kalman Filter (SEKF) as a method to update previously trained model weights online rather than retraining or finetuning them when the system a model represents drifts away from the conditions under which it…

Machine Learning · Computer Science 2025-03-25 Joshua E. Hammond , Tyler Soderstrom , Brian A. Korgel , Michael Baldea

Online optimization has emerged as powerful tool in large scale optimization. In this paper, we introduce efficient online algorithms based on the alternating directions method (ADM). We introduce a new proof technique for ADM in the batch…

Machine Learning · Computer Science 2012-07-03 Huahua Wang , Arindam Banerjee

We study the problem of estimating the parameters of a regression model from a set of observations, each consisting of a response and a predictor. The response is assumed to be related to the predictor via a regression model of unknown…

Machine Learning · Statistics 2016-05-19 Carlos Alberto Gomez-Uribe

Most modern reinforcement learning algorithms optimize a cumulative single-step cost along a trajectory. The optimized motions are often 'unnatural', representing, for example, behaviors with sudden accelerations that waste energy and lack…

Machine Learning · Computer Science 2024-07-03 Motoya Ohnishi , Isao Ishikawa , Kendall Lowrey , Masahiro Ikeda , Sham Kakade , Yoshinobu Kawahara

In a recent methodological paper, we showed how to learn chaotic dynamics along with the state trajectory from sequentially acquired observations, using local ensemble Kalman filters. Here, we more systematically investigate the possibility…

Machine Learning · Statistics 2022-10-19 Quentin Malartic , Alban Farchi , Marc Bocquet

Large scale, streaming datasets are ubiquitous in modern machine learning. Streaming algorithms must be scalable, amenable to incremental training and robust to the presence of non-stationarity. In this work consider the problem of learning…

Machine Learning · Statistics 2017-12-15 Ricardo Pio Monti , Christoforos Anagnostopoulos , Giovanni Montana

In the process of reproducing the state dynamics of parameter dependent distributed systems, data from physical measurements can be incorporated into the mathematical model to reduce the parameter uncertainty and, consequently, improve the…

Numerical Analysis · Mathematics 2022-10-06 Francesco A. B. Silva , Cecilia Pagliantini , Martin Grepl , Karen Veroy