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In robotics, designing robust algorithms in the face of estimation uncertainty is a challenging task. Indeed, controllers often do not consider the estimation uncertainty and only rely on the most likely estimated state. Consequently,…

Robotics · Computer Science 2023-05-22 Armand Jordana , Avadesh Meduri , Etienne Arlaud , Justin Carpentier , Ludovic Righetti

State-space models are a popular statistical framework for analysing sequential data. Within this framework, particle filters are often used to perform inference on non-linear state-space models. We introduce a new method, StateMixNN, that…

Machine Learning · Computer Science 2025-03-28 Benjamin Cox , Santiago Segarra , Victor Elvira

The well-known Kalman filters model dynamical systems by relying on state-space representations with the next state updated, and its uncertainty controlled, by fresh information associated with newly observed system outputs. This paper…

Machine Learning · Computer Science 2023-06-21 Cesare Alippi , Daniele Zambon

Despite the widespread usage of discrete generation Ensemble Kalman particle filtering methodology to solve nonlinear and high dimensional filtering and inverse problems, little is known about their mathematical foundations. As genetic-type…

Probability · Mathematics 2021-07-06 Pierre del Moral , Emma Horton

Outlier detection in data streams has gained wide importance presently due to the increasing cases of fraud in various applications of data streams. The techniques for outlier detection have been divided into either statistics based,…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-03-25 Parneeta Dhaliwal , M. P. S. Bhatia , Priti Bansal

The Particle Flow Algorithms adopted for future $e^{+}e^{-}$ colliders detectors and phase-II CMS upgrade require very high granularity calorimeters to deconvolve the individual contributions of particles in jets. This is especially true…

Instrumentation and Detectors · Physics 2017-11-27 Kostiantyn Shpak

Real-world applications may be affected by outlying values. In the model-based clustering literature, several methodologies have been proposed to detect units that deviate from the majority of the data (rowwise outliers) and trim them from…

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

This paper is focused on the optimization approach to the solution of inverse problems. We introduce a stochastic dynamical system in which the parameter-to-data map is embedded, with the goal of employing techniques from nonlinear Kalman…

Numerical Analysis · Mathematics 2022-04-29 Daniel Zhengyu Huang , Tapio Schneider , Andrew M. Stuart

Many sensors, such as range, sonar, radar, GPS and visual devices, produce measurements which are contaminated by outliers. This problem can be addressed by using fat-tailed sensor models, which account for the possibility of outliers.…

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…

Systems and Control · Computer Science 2016-10-26 S. Eichstädt , N. Makarava , C. Elster

Filters, especially wide range of Kalman Filters have shown their impacts on predicting variables of stochastic models with higher accuracy then traditional statistic methods. Updating mean and covariance each time makes Bayesian inferences…

Applications · Statistics 2018-03-26 Yan Zhao

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…

Dynamical Systems · Mathematics 2017-02-15 Joseph Arthur , Adam Attarian , Franz Hamilton , Hien Tran

In this paper, a neural network-augmented algorithm for noise-robust online dereverberation with a Kalman filtering variant of the weighted prediction error (WPE) method is proposed. The filter stochastic variations are predicted by a deep…

Audio and Speech Processing · Electrical Eng. & Systems 2022-06-24 Jean-Marie Lemercier , Joachim Thiemann , Raphael Koning , Timo Gerkmann

This paper develops a new active fault tolerant control system based on the concept of analytical redundancy. The novel design consists of an observation filter based fault detection and identification system integrated with a nonlinear…

Optimization and Control · Mathematics 2018-08-30 Rudaba Khan , Paul Williams , Paul Riseborough , Asha Rao , Robin HIll

Considering the problem of nonlinear and non-gaussian filtering of the graph signal, in this paper, a robust square root unscented Kalman filter based on graph signal processing is proposed. The algorithm uses a graph topology to generate…

Signal Processing · Electrical Eng. & Systems 2024-09-12 Jinhui Hu , Haiquan Zhao , Yi Peng

Ensemble data assimilation methods such as the Ensemble Kalman Filter (EnKF) are a key component of probabilistic weather forecasting. They represent the uncertainty in the initial conditions by an ensemble which incorporates information…

Applications · Statistics 2018-10-17 Sylvain Robert , Daniel Leuenberger , Hans R. Künsch

Current experimental design techniques for dynamical systems often only incorporate measurement noise, while dynamical systems also involve process noise. To construct experimental designs we need to quantify their information content. The…

Methodology · Statistics 2026-03-24 Arno Strouwen , Bart M. Nicolaï , Peter Goos

Track finding and fitting algorithm in the ALICE Time projection chamber (TPC) based on Kalman-filtering is presented. Implementation of particle identification (PID) using d$E$/d$x$ measurement is discussed. Filtering and PID algorithm is…

Data Analysis, Statistics and Probability · Physics 2007-05-23 M. Ivanov , K. Safarik , Y. Belikov , J. Bracinik

In this paper, we consider the task of designing a Kalman Filter (KF) for an unknown and partially observed autonomous linear time invariant system driven by process and sensor noise. To do so, we propose studying the following two step…

Systems and Control · Electrical Eng. & Systems 2020-05-14 Anastasios Tsiamis , Nikolai Matni , George J. Pappas