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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

This paper considers the low-observability state estimation problem in power distribution networks and develops a decentralized state estimation algorithm leveraging the matrix completion methodology. Matrix completion has been shown to be…

Optimization and Control · Mathematics 2019-10-14 April Sagan , Yajing Liu , Andrey Bernstein

In problems involving matrix computations, the concept of leverage has found a large number of applications. In particular, leverage scores, which relate the columns of a matrix to the subspaces spanned by its leading singular vectors, are…

Machine Learning · Computer Science 2022-06-17 Bruno Ordozgoiti , Antonis Matakos , Aristides Gionis

We propose a fast real-time state estimator based on the belief propagation algorithm for the power system state estimation. The proposed estimator is easy to distribute and parallelize, thus alleviating computational limitations and…

Information Theory · Computer Science 2017-08-15 Mirsad Cosovic , Dejan Vukobratovic

We consider a situation where the state of a system is represented by a real-valued vector. Under normal circumstances, the vector is zero, while an event manifests as non-zero entries in this vector, possibly few. Our interest is in the…

Statistics Theory · Mathematics 2011-12-30 Ery Arias-Castro

Least absolute deviation regression is applied using a fixed number of points for all values of the index to estimate the index and scale parameter of the stable distribution using regression methods based on the empirical characteristic…

Computation · Statistics 2018-11-06 J. Martin van Zyl

Robust design is one of the main tools employed by engineers for the facilitation of the design of high-quality processes. However, most real-world processes invariably contend with external uncontrollable factors, often denoted as outliers…

Methodology · Statistics 2023-09-12 Xuehong Gao , Zhijin Chen , Bosung Kim , Chanseok Park

A resilient state estimation scheme for uniformly observable nonlinear systems, based on a method for local identification of sensor attacks, is presented. The estimation problem is combinatorial in nature, and so many methods require…

Systems and Control · Electrical Eng. & Systems 2023-04-19 Junsoo Kim , Jin Gyu Lee , Henrik Sandberg , Karl H. Johansson

State machines are essential for enhancing protocol analysis to identify vulnerabilities. However, inferring state machines from network protocol implementations is challenging due to complex code syntax and semantics. Traditional dynamic…

Cryptography and Security · Computer Science 2025-03-28 Haiyang Wei , Ligeng Chen , Zhengjie Du , Yuhan Wu , Haohui Huang , Yue Liu , Guang Cheng , Fengyuan Xu , Linzhang Wang , Bing Mao

This letter proposes a new method for joint state and parameter estimation in uncertain dynamical systems. We exploit the partial errors-in-variables (PEIV) principle and formulate a regression problem in the sense of weighted total least…

Signal Processing · Electrical Eng. & Systems 2024-07-03 Peng Liu , Kailai Li , Gustaf Hendeby , Fredrik Gustafsson

The development of algorithms for secure state estimation in vulnerable cyber-physical systems has been gaining attention in the last years. A consolidated assumption is that an adversary can tamper a relatively small number of sensors. In…

Optimization and Control · Mathematics 2024-05-31 Vito Cerone , Sophie M. Fosson , Diego Regruto , Francesco Ripa

State-of-the-art techniques for simultaneous localization and mapping (SLAM) employ iterative nonlinear optimization methods to compute an estimate for robot poses. While these techniques often work well in practice, they do not provide…

Robotics · Computer Science 2015-07-21 Luca Carlone , David Rosen , Giuseppe Calafiore , John Leonard , Frank Dellaert

Evaluating the amount of information obtained from non-orthogonal quantum states is an important topic in the field of quantum information. The commonly used evaluation method is Holevo bound, which only provides a loose upper bound for…

Quantum Physics · Physics 2021-09-27 Wei Li , Shengmei Zhao

In this paper, we consider the problem of blind estimation of states and topology (BEST) in power systems. We use the linearized DC model of real power measurements with unknown voltage phases (i.e. states) and an unknown admittance matrix…

Information Theory · Computer Science 2019-03-27 Sivan Grotas , Yair Yakoby , Idan Gera , Tirza Routtenberg

As an important branch of weakly supervised learning, partial label learning deals with data where each instance is assigned with a set of candidate labels, whereas only one of them is true. Despite many methodology studies on learning from…

Machine Learning · Computer Science 2021-06-11 Hongwei Wen , Jingyi Cui , Hanyuan Hang , Jiabin Liu , Yisen Wang , Zhouchen Lin

We propose a multilevel stochastic approximation (MLSA) scheme for the computation of the value-at-risk (VaR) and expected shortfall (ES) of a financial loss, which can only be computed via simulations conditionally on the realisation of…

Computational Finance · Quantitative Finance 2026-04-14 Stéphane Crépey , Noufel Frikha , Azar Louzi

This paper studies state-dependent local projections (LPs). First, I establish a general characterization of their estimand: under minimal assumptions, state-dependent LPs recover weighted averages of causal effects. This holds for…

Econometrics · Economics 2026-01-06 Valentin Winkler

Assembly state recognition facilitates the execution of assembly procedures, offering feedback to enhance efficiency and minimize errors. However, recognizing assembly states poses challenges in scalability, since parts are frequently…

Computer Vision and Pattern Recognition · Computer Science 2025-10-15 Tim J. Schoonbeek , Goutham Balachandran , Hans Onvlee , Tim Houben , Shao-Hsuan Hung , Jacek Kustra , Peter H. N. de With , Fons van der Sommen

We explain theoretically a curious empirical phenomenon: "Approximating a matrix by deterministically selecting a subset of its columns with the corresponding largest leverage scores results in a good low-rank matrix surrogate". To obtain…

Data Structures and Algorithms · Computer Science 2014-06-04 Dimitris Papailiopoulos , Anastasios Kyrillidis , Christos Boutsidis

Function approximation from input and output data is one of the most investigated problems in signal processing. This problem has been tackled with various signal processing and machine learning methods. Although tensors have a rich history…

Statistics Theory · Mathematics 2023-02-16 Christina Auer , Thomas Paireder , Oliver Ploder , Oliver Lang , Mario Huemer
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