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Algorithms for state estimation of humanoid robots usually assume that the feet remain flat and in a constant position while in contact with the ground. However, this hypothesis is easily violated while walking, especially for human-like…

The estimation of spatiotemporal data from limited sensor measurements is a required task across many scientific disciplines. The sensor selection problem, which aims to optimize the placement of sensors, leverages innovations in greedy…

Optimization and Control · Mathematics 2022-12-19 Jiazhong Mei , Steven L. Brunton , J. Nathan Kutz

This paper studies the distributed state estimation in sensor network, where $m$ sensors are deployed to infer the $n$-dimensional state of a linear time-invariant (LTI) Gaussian system. By a lossless decomposition of optimal steady-state…

Systems and Control · Electrical Eng. & Systems 2022-04-22 Jiaqi Yan , Xu Yang , Yilin Mo , Keyou You

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

The computation required for a switching Kalman Filter (SKF) increases exponentially with the number of system operation modes. In this paper, a computationally tractable graph representation is proposed for a switching linear dynamic…

Signal Processing · Electrical Eng. & Systems 2022-03-09 Parisa Karimi , Mark Butala , Zhizhen Zhao , Farzad Kamalabadi

Mammographic screening is an effective method for detecting breast cancer, facilitating early diagnosis. However, the current need to manually inspect images places a heavy burden on healthcare systems, spurring a desire for automated…

Image and Video Processing · Electrical Eng. & Systems 2025-01-30 Ciaran Bench , Emir Ahmed , Spencer A. Thomas

We propose a new robust filtering paradigm considering the situation in which model uncertainty, described through an ambiguity set, is present only in the observations. We derive the corresponding robust estimator, referred to as…

Optimization and Control · Mathematics 2026-05-25 Shenglun Yi , Mattia Zorzi

We present a numerically-stable parallel-in-time linear Kalman smoother. The smoother uses a novel highly-parallel QR factorization for a class of structured sparse matrices for state estimation, and an adaptation of the SelInv…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-07 Shahaf Gargir , Sivan Toledo

Drift-free localization is essential for autonomous vehicles. In this paper, we address the problem by proposing a filter-based framework, which integrates the visual-inertial odometry and the measurements of the features in the pre-built…

Robotics · Computer Science 2022-04-27 Zhuqing Zhang , Yanmei Jiao , Shoudong Huang , Yue Wang , Rong Xiong

Distributed sensor networks often include a multitude of sensors, each measuring parts of a process state space or observing the operations of a system. Communication of measurements between the sensor nodes and estimator(s) cannot…

Systems and Control · Electrical Eng. & Systems 2023-05-02 Sanjay Chandrasekaran , Vishnu Varadan , Siva Vignesh Krishnan , Florian Dörfler , Mohammad H. Mamduhi

Nanomechanical resonant sensors are used in mass spectrometry via detection of resonance frequency jumps. There is a fundamental trade-off between detection speed and accuracy. Temporal and size resolution are limited by the resonator…

Instrumentation and Detectors · Physics 2024-01-17 Mete Erdogan , Nuri Berke Baytekin , Serhat Emre Coban , Alper Demir

State-space models are used in a wide range of time series analysis formulations. Kalman filtering and smoothing are work-horse algorithms in these settings. While classic algorithms assume Gaussian errors to simplify estimation, recent…

Optimization and Control · Mathematics 2018-07-02 Jonathan Jonker , Aleksandr Y. Aravkin , James V. Burke , Gianluigi Pillonetto , Sarah Webster

Kalman filtering is a classic state estimation technique used in application areas such as signal processing and autonomous control of vehicles. It is now being used to solve problems in computer systems such as controlling the voltage and…

Systems and Control · Electrical Eng. & Systems 2019-07-01 Yan Pei , Swarnendu Biswas , Donald S. Fussell , Keshav Pingali

Attitude estimation for small, low-cost unmanned aerial vehicles is often achieved using a relatively simple complementary filter that combines onboard accelerometers, gyroscopes, and magnetometer sensing. This paper explores the limits of…

Optimization and Control · Mathematics 2016-02-26 Harris Teague

We study the fundamental problem of learning a marginally stable unknown nonlinear dynamical system. We describe an algorithm for this problem, based on the technique of spectral filtering, which learns a mapping from past observations to…

Machine Learning · Computer Science 2025-08-19 Evan Dogariu , Anand Brahmbhatt , Elad Hazan

We study the problem of solving a linear sensing system when the observations are unlabeled. Specifically we seek a solution to a linear system of equations y = Ax when the order of the observations in the vector y is unknown. Focusing on…

Information Theory · Computer Science 2015-12-02 Jayakrishnan Unnikrishnan , Saeid Haghighatshoar , Martin Vetterli

The above-mentioned work [1] in IEEE-TR'08 presented an extended Kalman filter for calibrating the misalignment between a camera and an IMU. As one of the main contributions, the locally weakly observable analysis was carried out using Lie…

Robotics · Computer Science 2013-11-26 Yuanxin Wu

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…

Systems and Control · Electrical Eng. & Systems 2025-09-24 Svyatoslav Covanov , Cedric Pradalier

State estimation incorporates the feedback in optimization based advanced process control systems and is very important for the performance of model predictive control. We describe the extended Kalman filter, the unscented Kalman filter,…

We consider the problem of randomly choosing the sensors of a linear time-invariant dynamical system subject to process and measurement noise. We sample the sensors independently and from the same distribution. We measure the performance of…

Systems and Control · Electrical Eng. & Systems 2021-03-23 Christopher I. Calle , Shaunak D. Bopardikar