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Space-based coronagraphs for future earth-like planet detection will require focal plane wavefront control techniques to achieve the necessary contrast levels. These correction algorithms are iterative and the control methods require an…

Instrumentation and Methods for Astrophysics · Physics 2015-06-11 Tyler D. Groff , N. Jeremy Kasdin

We demonstrate optimal state estimation for a cavity optomechanical system through Kalman filtering. By taking into account nontrivial experimental noise sources, such as colored laser noise and spurious mechanical modes, we implement a…

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

State estimation is crucial for the monitoring and control of post-combustion CO2 capture plants (PCCPs). The performance of state estimation is highly reliant on the configuration of sensors. In this work, we consider the problem of sensor…

Systems and Control · Electrical Eng. & Systems 2023-03-16 Siyu Liu , Xunyuan Yin , Jinfeng Liu

The Shapley value is a common tool in game theory to evaluate the importance of a player in a cooperative setting. In a geometric context, it provides a way to measure the contribution of a geometric object in a set towards some function on…

Computational Geometry · Computer Science 2020-02-14 Shuhao Tan

One often finds in the literature connections between measures of fairness and measures of feature importance employed to interpret trained classifiers. However, there seems to be no study that compares fairness measures and feature…

Machine Learning · Computer Science 2019-10-15 Juliana Cesaro , Fabio G. Cozman

The Kalman Filter has been called one of the greatest inventions in statistics during the 20th century. Its purpose is to measure the state of a system by processing the noisy data received from different electronic sensors. In comparison,…

Econometrics · Economics 2019-01-25 Ulrik W. Nash

Originally rooted in game theory, the Shapley Value (SV) has recently become an important tool in machine learning research. Perhaps most notably, it is used for feature attribution and data valuation in explainable artificial intelligence.…

Recent work demonstrated the inadequacy of Shapley values for explainable artificial intelligence (XAI). Although to disprove a theory a single counterexample suffices, a possible criticism of earlier work is that the focus was solely on…

Artificial Intelligence · Computer Science 2023-10-03 Xuanxiang Huang , Joao Marques-Silva

Reduced-order models based on level-set methods are widely used tools to qualitatively capture and track the nonlinear dynamics of an interface. The aim of this paper is to develop a physics-informed, data-driven, statistically rigorous…

Computational Physics · Physics 2019-09-20 Hans Yu , Matthew P. Juniper , Luca Magri

In [1], Sinopoli et al. analyze the problem of optimal estimation for linear Gaussian systems where packets containing observations are dropped according to an i.i.d. Bernoulli process, modeling a memoryless erasure channel. In this case…

Optimization and Control · Mathematics 2010-05-17 Yilin Mo , Bruno Sinopoli

In this paper, we consider the problem of input-output data-driven sensor selection for unknown cyber-physical systems (CPS). In particular, out of a large set of sensors available for use, we choose a subset of them that maximizes a metric…

Systems and Control · Electrical Eng. & Systems 2025-08-26 Filippos Fotiadis , Kyriakos G. Vamvoudakis

We are experiencing an explosion in the amount of sensors measuring our activities and the world around us. These sensors are spread throughout the built environment and can help us perform state estimation and control of related systems,…

Systems and Control · Computer Science 2018-02-06 Matthew A. Wright , Roberto Horowitz

Multi-sensor integration via error-state Kalman filter (KF) is widely employed for precise state estimation in cyber-physical systems (CPSs). However, this integration exposes the system to stealthy deception attacks that render…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Meiqi Tian , Yihan Liu , Bingzhuo Zhong

State estimation is a fundamental requirement in robotics, where the accurate determination of a robot's state is essential for stable operation despite inherent process disturbances and sensor noise. Traditionally, this is achieved through…

Robotics · Computer Science 2026-04-21 Phunyapa Suksomboon , Paulo Garcia

State estimation and sensor selection problems for nonlinear networks and systems are ubiquitous problems that are important for the control, monitoring, analysis, and prediction of a large number of engineered and physical systems. Sensor…

Systems and Control · Electrical Eng. & Systems 2021-03-23 Aleksandar Haber

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

In this dissertation, we analyze the computational properties of game-theoretic centrality measures. The key idea behind game-theoretic approach to network analysis is to treat nodes as players in a cooperative game, where the value of each…

Computer Science and Game Theory · Computer Science 2015-12-08 Piotr Lech Szczepański

We study a game-theoretic model for pool formation in Proof of Stake blockchain protocols. In such systems, stakeholders can form pools as a means of obtaining regular rewards from participation in ledger maintenance, with the power of each…

Computer Science and Game Theory · Computer Science 2025-06-09 Aggelos Kiayias , Elias Koutsoupias , Evangelos Markakis , Panagiotis Tsamopoulos

This paper describes some new results on recursive l_1-minimizing by Kalman filtering. We consider the l_1-norm as an explicit constraint, formulated as a nonlinear observation of the state to be estimated. Interpretiing a sparse vector to…

Signal Processing · Electrical Eng. & Systems 2018-08-21 Otmar Loffeld , Dunja Alexandra Hage , Miguel Heredia Conde , Ling Wang
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