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We respond to the comment arXiv:1809.03931 put forward by Li-Han Chen, Zhen Liu, and Jian-Tin Zheng on our work Kiesel, Platt, and Thomale, Phys. Rev. Lett. 110, 126405 (2013). All misunderstandings and misconceptions communicated in the…

Strongly Correlated Electrons · Physics 2018-09-14 Ronny Thomale

We clarify the relationship between the conclusions of the previous Comment of A. Helfer [1] and that of our Brief Report [arXiv:0906.5315]

General Relativity and Quantum Cosmology · Physics 2014-11-21 Ivan Agullo , Jose Navarro-Salas , Gonzalo J. Olmo , Leonard Parker

The ensemble Kalman filter (EnKF) is a popular technique for performing inference in state-space models (SSMs), particularly when the dynamic process is high-dimensional. Unlike reweighting methods such as sequential Monte Carlo (SMC, i.e.…

We compare the results of our two papers with the results of the paper Aratyn H., Gomes J.F., Zimerman A.H., Higher order Painlev\'e equations and their symmetries via reductions of a class of integrable models, J. Phys. A: Math. Theor., V.…

Exactly Solvable and Integrable Systems · Physics 2014-09-18 Andrei K Svinin

Among the class of nonlinear particle filtering methods, the Ensemble Kalman Filter (EnKF) has gained recent attention for its use in solving inverse problems. We review the original method and discuss recent developments in particular in…

Numerical Analysis · Mathematics 2022-04-06 Michael Herty , Elisa Iacomini , Giuseppe Visconti

We use indecomposable ultrafilters to answer some questions of Hayut, Karagila paper "Spectra of uniformity". It is shown that the bound on the strength by T. Usuba "A note on uniform ultrafilters in choiceless context" is optimal.

Logic · Mathematics 2024-03-15 Eilon Bilinsky , Moti Gitik

The unscented Kalman filter (UKF) is a commonly used algorithm capable of estimating the states of nonlinear dynamic systems. It carefully chooses a set of sample points, called sigma points that capture the nonlinear system states…

Signal Processing · Electrical Eng. & Systems 2026-04-07 Amit Levy , Itzik Klein

In this manuscript we reply to the criticisms of our paper [Eur. Phys. J. A 24, 437 (2005)] raised in a recent preprint by Achasov and Kiselev [hep-ph/0606268] and demonstrate that all their criticisms are completely irrelevant and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yu. S. Kalashnikova , A. E. Kudryavtsev , A. V. Nefediev , J. Haidenbauer , C. Hanhart

This is a reply to the comment from Patrick Bruno (arXiv:1211.4792) on our paper (Phys. Rev. Lett. 109, 163001 (2012)).

Quantum Physics · Physics 2013-06-21 Tongcang Li , Zhe-Xuan Gong , Zhang-Qi Yin , H. T. Quan , Xiaobo Yin , Peng Zhang , L. -M. Duan , Xiang Zhang

Comment on paper by Blanchette and Zhang, Phys. Rev. Lett. 102, 144501 (2009).

Fluid Dynamics · Physics 2015-05-18 J. Eggers , S. Courrech du Pont

Variational inference (VI) combined with Bayesian nonlinear filtering produces state-of-the-art results for latent time-series modeling. A body of recent work has focused on sequential Monte Carlo (SMC) and its variants, e.g., forward…

Machine Learning · Statistics 2021-11-10 Tsuyoshi Ishizone , Tomoyuki Higuchi , Kazuyuki Nakamura

The ensemble Kalman filter (EnKF) is a method for combining a dynamical model with data in a sequential fashion. Despite its widespread use, there has been little analysis of its theoretical properties. Many of the algorithmic innovations…

Probability · Mathematics 2015-06-17 D. T. B. Kelly , K. J. H. Law , A. M. Stuart

In this article, we present a structured Kalman filter associated with the transformation matrix for observable Kalman canonical decomposition from conventional Kalman filter (CKF) in order to generate a more accurate time scale. The…

Systems and Control · Electrical Eng. & Systems 2023-12-08 Yuyue Yan , Takahiro Kawaguchi , Yuichiro Yano , Yuko Hanado , Takayuki Ishizaki

In \cite{HK}, Hayut and Karagila asked some questions about uniform ultrafilters in a choiceless context. We provide several answers to their questions.

Logic · Mathematics 2024-01-11 Toshimichi Usuba

The ensemble Kalman filter (EnKF) is a Monte Carlo based implementation of the Kalman filter (KF) for extremely high-dimensional, possibly nonlinear and non-Gaussian state estimation problems. Its ability to handle state dimensions in the…

Methodology · Statistics 2018-02-12 Michael Roth , Gustaf Hendeby , Carsten Fritsche , Fredrik Gustafsson

In this article, we consider the implications of unobservable subspaces in the construction of a Kalman filter. In particular, we consider dynamical systems which are invariant with respect to a group action, and which are therefore…

Optimization and Control · Mathematics 2019-01-14 Xuefeng Shen , Melvin Leok

Reply to the Comment on "Unified Formulism of Andreev Reflection at a Ferromagnetic/Superconductor Interface" by Eschrig et al

Superconductivity · Physics 2013-02-12 T. Y. Chen , C. L. Chien

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

We reply to the comment cond-mat/0008098 by Yang, Sun, and Chang on our paper "Theory of Diluted Magnetic Semiconductor Ferromagnetism", Phys. Rev. Lett. 84, 5628 (2000).

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jürgen König , Hsiu-Hau Lin , Allan H. MacDonald