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The Kalman filter is a fundamental filtering algorithm that fuses noisy sensory data, a previous state estimate, and a dynamics model to produce a principled estimate of the current state. It assumes, and is optimal for, linear models and…

Neural and Evolutionary Computing · Computer Science 2021-04-30 Beren Millidge , Alexander Tschantz , Anil Seth , Christopher Buckley

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…

Filtering is a widely used methodology for the incorporation of observed data into time-evolving systems. It provides an online approach to state estimation inverse problems when data is acquired sequentially. The Kalman filter plays a…

Probability · Mathematics 2015-05-27 Wonjung Lee , Damon McDougall , Andrew Stuart

When faulty sensors are rare in a network, diagnosing sensors individually is inefficient. This study introduces a novel use of concepts from group testing and Kalman filtering in detecting these rare faulty sensors with significantly fewer…

Systems and Control · Computer Science 2015-01-20 Chun Lo , Yechao Bai , Mingyan Liu , Jerome P. Lynch

In this paper, the impact of false information injection is investigated for linear dynamic systems with multiple sensors. It is assumed that the system is unsuspecting the existence of false information and the adversary is trying to…

Signal Processing · Electrical Eng. & Systems 2017-10-30 Jingyang Lu , Ruixin Niu

A set of N independent Gaussian linear time invariant systems is observed by M sensors whose task is to provide the best possible steady-state causal minimum mean square estimate of the state of the systems, in addition to minimizing a…

Optimization and Control · Mathematics 2008-10-30 Jerome Le Ny , Eric Feron , Munther A. Dahleh

One of the modern research lines in econometrics studies focuses on translating a wide variety of structural econometric models into their state-space form, which allows for efficient unknown dynamic system state and parameter estimations…

Optimization and Control · Mathematics 2024-02-20 Maria V. Kulikova , Julia V. Tsyganova , Gennady Yu. Kulikov

The article is devoted to the problem of synthesis of observers of state variables for linear stationary objects operating under conditions of noise or disturbances in the measurement channel. The paper considers a fully observable linear…

Systems and Control · Electrical Eng. & Systems 2023-05-26 Alexey Bobtsov , Vladimir Virobyev , Nikolay Nikolaev , Anton Pyrkin , Romeo Ortega

The immersion and the interaction are the important features of the driving simulator. To improve these characteristics, this paper proposes a low-cost and mark-less driver head tracking framework based on the head pose estimation model,…

Image and Video Processing · Electrical Eng. & Systems 2021-03-25 Zhongxu Hu , Chen Lv , Yanxin Zhou , Yiran Zhang , Wenhui Huang

Large-scale dynamic inverse problems are often ill-posed due to model complexity and the high dimensionality of the unknown parameters. Regularization is commonly employed to mitigate ill-posedness by incorporating prior information and…

Numerical Analysis · Mathematics 2026-01-21 Aryeh Keating , Mirjeta Pasha

Transformers are a class of autoregressive deep learning architectures which have recently achieved state-of-the-art performance in various vision, language, and robotics tasks. We revisit the problem of Kalman Filtering in linear dynamical…

Machine Learning · Computer Science 2024-05-21 Gautam Goel , Peter Bartlett

The Kalman filter (KF) is one of the most widely used tools for data assimilation and sequential estimation. In this work, we show that the state estimates from the KF in a standard linear dynamical system setting are equivalent to those…

Methodology · Statistics 2021-08-04 Maria Jahja , David C. Farrow , Roni Rosenfeld , Ryan J. Tibshirani

This paper investigates the distributed Kalman filter (DKF) for linear systems, with specific attention on measurement fusion, which is a typical way of information sharing and is vital for enhancing stability and improving estimation…

Signal Processing · Electrical Eng. & Systems 2025-04-14 Tuo Yang , Jiachen Qian , Zhisheng Duan , Zhiyong Sun

Vehicle state estimation presents a fundamental challenge for autonomous driving systems, requiring both physical interpretability and the ability to capture complex nonlinear behaviors across diverse operating conditions. Traditional…

Systems and Control · Electrical Eng. & Systems 2025-06-17 Farid Mafi , Ladan Khoshnevisan , Mohammad Pirani , Amir Khajepour

This work extends a previous study that introduced an algorithm for state estimation on manifolds within the framework of the Kalman filter. Its objective is to address the limitations of the earlier approach. The reversible Kalman filter…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Svyatoslav Covanov , Cedric Pradalier

Extended Kalman filtering is a common approach to achieve floating base estimation of a humanoid robot. These filters rely on measurements from an Inertial Measurement Unit (IMU) and relative forward kinematics for estimating the base…

Robotics · Computer Science 2022-05-17 Prashanth Ramadoss , Stefano Dafarra , Silvio Traversaro , Daniele Pucci

Heterogeneous sensor setups may entail measurements recorded at varying sampling frequencies, commonly known as multi-rate data. For system identification and state estimation with such data, existing studies mostly focus on data fusion…

Other Statistics · Statistics 2025-09-25 Dhiraj Ghosh , Adrita Kundu , Suparno Mukhopadhyay

State estimation is crucial for legged robots as it directly affects control performance and locomotion stability. In this paper, we propose an Adaptive Invariant Extended Kalman Filter to improve proprioceptive state estimation for legged…

Robotics · Computer Science 2025-10-21 Kyung-Hwan Kim , DongHyun Ahn , Dong-hyun Lee , JuYoung Yoon , Dong Jin Hyun

We propose a probabilistic filtering method which fuses joint measurements with depth images to yield a precise, real-time estimate of the end-effector pose in the camera frame. This avoids the need for frame transformations when using it…

Robotics · Computer Science 2016-11-28 Cristina Garcia Cifuentes , Jan Issac , Manuel Wüthrich , Stefan Schaal , Jeannette Bohg

This paper solves the classical problem of simultaneous localization and mapping (SLAM) in a fashion which avoids linearized approximations altogether. Based on creating virtual synthetic measurements, the algorithm uses a linear time-…

Robotics · Computer Science 2016-12-30 Feng Tan , Winfried Lohmiller , Jean-Jacques Slotine