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We develop a mixture-based approach to robust density modeling and outlier detection for experimental multivariate data that includes measurement error information. Our model is designed to infer atypical measurements that are not due to…

天体物理学 · 物理学 2007-09-07 Jianyong Sun , Ata Kaban , Somak Raychaudhury

Standard maximum likelihood or Bayesian approaches to parameter estimation for stochastic differential equations are not robust to perturbations in the continuous-in-time data. In this paper, we give a rather elementary explanation of this…

数值分析 · 数学 2023-12-20 Sebastian Reich

In this paper, we address a partition-based distributed state estimation problem for large-scale general nonlinear processes by proposing a Kalman-based approach. First, we formulate a linear full-information estimation design within a…

系统与控制 · 电气工程与系统科学 2024-04-11 Xiaojie Li , Adrian Wing-Keung Law , Xunyuan Yin

The paper provides simple formulas of Bayesian filtering for the exact recursive computation of state conditional probability density functions given quantized innovations signal measurements of a linear stochastic system. This is a topic…

系统与控制 · 计算机科学 2017-04-11 Chun-Chia Huang , Robert R. Bitmead

The presence of outliers is prevalent in machine learning applications and may produce misleading results. In this paper a new method for dealing with outliers and anomal samples is proposed. To overcome the outlier issue, the proposed…

机器学习 · 计算机科学 2016-07-05 Parsa Bagherzadeh , Hadi Sadoghi Yazdi

This study considers the object localization problem and proposes a novel multiparticle Kalman filter to solve it in complex and symmetric environments. Two well-known classes of filtering algorithms to solve the localization problem are…

机器人学 · 计算机科学 2023-03-15 Roman Korkin , Ivan Oseledets , Aleksandr Katrutsa

This paper proposes a novel convex optimization framework for designing robust Kalman filters that guarantee a user-specified steady-state error while maximizing process and sensor noise. The proposed framework simultaneously determines the…

系统与控制 · 电气工程与系统科学 2024-03-06 Himanshu Prabhat , Raktim Bhattacharya

State estimation in power distribution systems is a key component for increased reliability and optimal system performance. Well understood in transmission systems, state estimation is now an area of active research in distribution…

信号处理 · 电气工程与系统科学 2017-12-06 C. Carquex , C. Rosenberg , K. Bhattacharya

The Ensemble Kalman Filter method can be used as an iterative particle numerical scheme for state dynamics estimation and control--to--observable identification problems. In applications it may be required to enforce the solution to satisfy…

数值分析 · 数学 2020-08-26 Michael Herty , Giuseppe Visconti

Estimation of a dynamical system's latent state subject to sensor noise and model inaccuracies remains a critical yet difficult problem in robotics. While Kalman filters provide the optimal solution in the least squared sense for linear and…

机器人学 · 计算机科学 2022-02-10 Fahira Afzal Maken , Fabio Ramos , Lionel Ott

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

In this paper, a new filter model called set-membership Kalman filter for nonlinear state estimation problems was designed, where both random and unknown but bounded uncertainties were considered simultaneously in the discrete-time system.…

最优化与控制 · 数学 2018-02-09 Ligang Sun , Hamza Alkhatib , Boris Kargoll , Vladik Kreinovich , Ingo Neumann

This paper presents a novel algorithm, the particle-based, rapid incremental smoother (PaRIS), for efficient online approximation of smoothed expectations of additive state functionals in general hidden Markov models. The algorithm, which…

统计计算 · 统计学 2014-12-25 Jimmy Olsson , Johan Westerborn

We study a distributed Kalman filtering problem in which a number of nodes cooperate without central coordination to estimate a common state based on local measurements and data received from neighbors. This is typically done by running a…

系统与控制 · 电气工程与系统科学 2021-02-18 Damián Marelli , Tianju Sui , Minyue Fu

This work introduces an algorithm for state estimation on manifolds within the framework of the Kalman filter. Its primary objective is to provide a methodology enabling the evaluation of the precision of existing Kalman filter variants…

系统与控制 · 电气工程与系统科学 2025-09-24 Svyatoslav Covanov , Cedric Pradalier

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

In this work, we present a new perspective on the origin and interpretation of adaptive filters. By applying Bayesian principles of recursive inference from the state-space model and using a series of simplifications regarding the structure…

信息检索 · 计算机科学 2025-07-02 Leszek Szczecinski , Jacob Benesty , Eduardo Vinicius Kuhn

Kalman filtering can provide an optimal estimation of the system state from noisy observation data. This algorithm's performance depends on the accuracy of system modeling and noise statistical characteristics, which are usually challenging…

系统与控制 · 电气工程与系统科学 2025-04-18 Xun Xiao , Junbo Tie , Jinyue Zhao , Ziqi Wang , Yuan Li , Qiang Dou , Lei Wang

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…

数据分析、统计与概率 · 物理学 2018-01-17 Franz Hamilton , Tyrus Berry , Timothy Sauer

Using Bayesian transfer learning, we develop a particle filter approach for tracking a nonlinear dynamical model in a dual-tracking system where intensities of measurement noise for both sensors are asymmetric. The densities for Bayesian…

信号处理 · 电气工程与系统科学 2025-11-24 Omar A. Alotaibi , Brian L. Mark , Mohammad Reza Fasihi