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We analyze quantum state tomography in scenarios where measurements and states are both constrained. States are assumed to live in a semi-algebraic subset of state space and measurements are supposed to be rank-one POVMs, possibly with…

Quantum Physics · Physics 2017-01-24 Michael Kech , Michael M. Wolf

Common filters are usually based on the linear approximation of the optimal minimum mean square error estimator. The Extended and Unscented Kalman Filters handle nonlinearity through linearization and unscented transformation, respectively,…

Information Theory · Computer Science 2025-06-09 Simone Servadio , Chiran Cherian

Kalman filters provide a straightforward and interpretable means to estimate hidden or latent variables, and have found numerous applications in control, robotics, signal processing, and machine learning. One such application is neural…

Machine Learning · Computer Science 2024-01-29 Josue Casco-Rodriguez , Caleb Kemere , Richard G. Baraniuk

This paper studies the distributed state estimation problem for a class of discrete-time stochastic systems with nonlinear uncertain dynamics over time-varying topologies of sensor networks. An extended state vector consisting of the…

Systems and Control · Computer Science 2018-09-12 Xingkang He , Xiaocheng Zhang , Wenchao Xue , Haitao Fang

In this paper we consider the behavior of Kalman Filter state estimates in the case of distribution with heavy tails .The simulated linear state space models with Gaussian measurement noises were used. Gaussian noises in state equation are…

Statistics Theory · Mathematics 2015-12-08 Valentin Konakov , Pavel Mozgunov

Inferring latent dynamics from multivariate time-series defined over topological cell complexes is crucial for capturing the complex, higher-order interactions inherent in real-world systems such as in water, sensor, and transportation…

Signal Processing · Electrical Eng. & Systems 2026-05-21 Chengen Liu , Rohan Money , Ting Gao , Mohammad Sabbaqi , Baltasar Beferull-Lozano , Elvin Isufi

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.…

Optimization and Control · Mathematics 2018-02-09 Ligang Sun , Hamza Alkhatib , Boris Kargoll , Vladik Kreinovich , Ingo Neumann

Stochastic stability for centralized time-varying Kalman filtering over a wireles ssensor network with correlated fading channels is studied. On their route to the gateway, sensor packets, possibly aggregated with measurements from several…

Optimization and Control · Mathematics 2013-08-09 Daniel E. Quevedo , Anders Ahlen , Karl H. Johansson

This paper is concerned with the linear/nonlinear Kalman-like filtering problem under binary sensors. Since innovation represents new information in the sensor measurement and serves to correct the prediction for the Kalman-like filter…

Systems and Control · Electrical Eng. & Systems 2021-10-28 Zhongyao Hu , Bo Chen , Yuchen Zhang , Li Yu

The problem of multisensor multitarget state estimation in the presence of constant but unknown sensor biases is investigated. The classical approach to this problem is to augment the state vector to include the states of all the targets…

Signal Processing · Electrical Eng. & Systems 2019-10-16 Jianxin Yi , Xianrong Wan , Deshi Li

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

This paper is concerned with the problem of distributed Kalman filtering in a network of interconnected subsystems with distributed control protocols. We consider networks, which can be either homogeneous or heterogeneous, of linear…

Systems and Control · Computer Science 2017-11-22 Damian Marelli , Mohsen Zamani , Minyue Fu

The use of state estimation technique offers a means of inferring the rotor-effective wind speed based upon solely standard measurements of the turbine. For the ease of design and computational concerns, such estimators are typically built…

Systems and Control · Electrical Eng. & Systems 2021-07-01 Wai Hou Lio , Fanzhong Meng

We derive a novel, provably robust, and closed-form Bayesian update rule for online filtering in state-space models in the presence of outliers and misspecified measurement models. Our method combines generalised Bayesian inference with…

A stochastic filter uses a series of measurements over time to produce estimates of unknown variables based on a dynamic model. For a quantum system, such an algorithm is provided by a quantum filter, which is also known as a stochastic…

Quantum Physics · Physics 2017-07-25 Muhammad F. Emzir , Matthew J. Woolley , Ian R. Petersen

This paper presents an LMI-based design framework for multirate steady-state Kalman filters in systems with sensors operating at different sampling rates. The multirate system is formulated as a periodic time-varying system, where the…

Systems and Control · Electrical Eng. & Systems 2026-04-30 Hiroshi Okajima

In this paper, we consider a dynamic linear system in state-space form where the observation equation depends linearly on a set of parameters. We address the problem of how to dynamically calculate these parameters in order to minimize the…

Information Theory · Computer Science 2013-04-02 Feng Jiang , Jie Chen , A. Lee Swindlehurst

In order for biomass drying processes to be efficient, it is crucial to achieve the target residual water content within a close margin, since more conservative drying would result in a waste of energy. A method for a reliable estimation of…

Optimization and Control · Mathematics 2020-03-30 Marc Oliver Berner , Viktor Scherer , Martin Mönnigmann

Kalman filtering is a widely used framework for Bayesian estimation. The partitioned update Kalman filter applies a Kalman filter update in parts so that the most linear parts of measurements are applied first. In this paper, we generalize…

Optimization and Control · Mathematics 2016-03-16 Matti Raitoharju , Ángel F. García-Fernández , Robert Piché

Many systems for which compressive sensing is used today are dynamical. The common approach is to neglect the dynamics and see the problem as a sequence of independent problems. This approach has two disadvantages. Firstly, the temporal…

Systems and Control · Computer Science 2013-09-30 Henrik Ohlsson , Michel Verhaegen , S. Shankar Sastry
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