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The ensemble Kalman filter (EnKF) is widely used for data assimilation in high-dimensional systems, but its performance often deteriorates for strongly nonlinear dynamics due to the structural mismatch between the Kalman update and the…

Machine Learning · Computer Science 2026-04-30 Xin T. Tong , Yanyan Wang , Liang Yan

A comment on ``Metallization of Fluid Nitrogen and the Mott Transition in Highly Compressed Low-Z Fluids'' by Chau et al, Phys. Rev. Lett. 90, 245501 (2003).

Condensed Matter · Physics 2007-05-23 Marina Bastea

We introduce cooperative sequential state space estimation in the domain of augmented complex statistics, whereby nodes in a network collaborate locally to estimate noncircular complex signals. For rigour, a distributed augmented (widely…

Systems and Control · Computer Science 2013-11-19 Dahir H. Dini , Sithan Kanna , Danilo P. Mandic

This work presents new results and understanding of the Ensemble Kalman filter (EnKF) for inverse problems. In particular, using a Lagrangian dual perspective we show that EnKF can be derived from the sample average approximation (SAA) of…

Numerical Analysis · Mathematics 2026-01-27 C G Krishnanunni , Jonathan Wittmer , Tan Bui-Thanh , Quoc P. Nguyen

We studied carefully the comment by S. G. Karshenboim, V. G. Ivanov and J. Chluba to our paper "Two-photon approximation in the theory of the electron recombination in hydrogen" and found this comment erroneous.

Atomic Physics · Physics 2011-05-17 L. Labzowsky , D. Solovyev

We have reviewed the comment in [3], posted on arXiv.org concerning our recent work in [1]. We reply to the comment in this paper.

Quantum Physics · Physics 2012-05-08 D. Li , X. Li , H. Huang , X. Li

We comment on the recent paper by Balog and Niedermaier [hep-th/9701156].

High Energy Physics - Theory · Physics 2009-10-30 A. Patrascioiu , E. Seiler

This letter investigates relationships between iterated filtering algorithms based on statistical linearization, such as the iterated unscented Kalman filter (IUKF), and filtering algorithms based on quasi-Newton (QN) methods, such as the…

Signal Processing · Electrical Eng. & Systems 2023-11-21 Anton Kullberg , Martin A. Skoglund , Isaac Skog , Gustaf Hendeby

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

This work introduces an on-the-fly (i.e., online) linear unmixing method which is able to sequentially analyze spectral data acquired on a spectrum-by-spectrum basis. After deriving a sequential counterpart of the conventional linear mixing…

A comment on ``Comment on ``Standard Model Mass Spectrum and Interactions In The Holomorphic Unified Field Theory""

High Energy Physics - Phenomenology · Physics 2025-08-13 J. W. Moffat , E. J. Thompson

Leakage in water systems results in significant daily water losses, degrading service quality, increasing costs, and aggravating environmental problems. Most leak localization methods rely solely on pressure data, missing valuable…

Systems and Control · Electrical Eng. & Systems 2024-12-17 Luis Romero-Ben , Paul Irofti , Florin Stoican , Vicenç Puig

The problem of incorporating information from observations received serially in time is widespread in the field of uncertainty quantification. Within a probabilistic framework, such problems can be addressed using standard filtering…

Methodology · Statistics 2024-12-02 Chatchuea Kimchaiwong , Jeremie Houssineau , Adam M. Johansen

This brief technical note elaborates three well-known state estimators, which are used extensively in practice. These are the rather old-fashioned extended Kalman filter (EKF) and the recently-designed cubature Kalman filtering (CKF) and…

Systems and Control · Computer Science 2017-10-23 G. Yu. Kulikov , M. V. Kulikova

This work presents a scalable control framework based on nonlinear Model Predictive Control for high-dimensional dynamical systems. The proposed approach addresses the key challenges of model scalability and partial observability by…

A Comment on the Letter by S. Zelakiewicz et al., Phys. Rev. Lett. 85, 1942 (2000).

Mesoscale and Nanoscale Physics · Physics 2009-11-07 U. Zeitler , J. G. S. Lok

Heavy tails is a common feature of filtering distributions that results from the nonlinear dynamical and observation processes as well as the uncertainty from physical sensors. In these settings, the Kalman filter and its ensemble version -…

Computation · Statistics 2023-10-16 Mathieu Le Provost , Ricardo Baptista , Jeff D. Eldredge , Youssef Marzouk

We comment on the experimental realisation of entanglement swapping by Pan et al. [Phys. Rev. Lett. 80, 3891 (1998)].

Quantum Physics · Physics 2007-05-23 Pieter Kok , Samuel L. Braunstein

In this paper, we first review the theory of symmetry-preserving observers and we mention some recent results. Then, we apply the theory to Extended Kalman Filter-based Simultaneous Localization and Mapping (EKF SLAM). It allows to derive a…

Optimization and Control · Mathematics 2011-05-12 Silvere Bonnabel

This is a Reply to the Comment by Vaidman in arXiv:2306.16756 on the paper: R. B. Griffiths, Phys. Rev. A 107, 062219 (2023)

Quantum Physics · Physics 2024-02-05 Robert B. Griffiths
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