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The ensemble Kalman filter (EnKF) has become a standard methodology for state estimation in high-dimensional systems, yet its various stochastic and deterministic formulations often appear conceptually disconnected. In this paper, a unified…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Jin Won Kim

We introduce a new multilevel ensemble Kalman filter method (MLEnKF) which consists of a hierarchy of independent samples of ensemble Kalman filters (EnKF). This new MLEnKF method is fundamentally different from the preexisting method…

Numerical Analysis · Mathematics 2020-09-22 Håkon Hoel , Gaukhar Shaimerdenova , Raúl Tempone

Comment on "Gapless Spin-1 Neutral Collective Mode Branch for Graphite" by G. Baskaran and S.A. Jafari [cond-mat/0110022; Physical Review Letters, 89, 016402 (2002)].

Strongly Correlated Electrons · Physics 2009-11-10 N. M. R. Peres , M. A. N. Araujo , A. H. Castro Neto

This is a reply to the comment by A. W. Sandvik (cond-mat/0010433) on our paper Phys. Rev. Lett. 84, 4204 (2000). We show that his data do not conflict with our data nor with our conclusions.

Disordered Systems and Neural Networks · Physics 2009-11-07 S. Todo , H. Takayama , N. Kawashima

Ensemble filters implement sequential Bayesian estimation by representing the probability distribution by an ensemble mean and covariance. Unbiased square root ensemble filters use deterministic algorithms to produce an analysis (posterior)…

Statistics Theory · Mathematics 2015-01-13 Evan Kwiatkowski , Jan Mandel

The unscented transformation (UT) is an efficient method to solve the state estimation problem for a non-linear dynamic system, utilizing a derivative-free higher-order approximation by approximating a Gaussian distribution rather than…

Machine Learning · Statistics 2016-08-29 Xi Liu , Badong Chen , Bin Xu , Zongze Wu , Paul Honeine

We reply to a comment by Averin and Korotkov http://uk.arxiv.org/abs/cond-mat/0404549 on Stace and Barrett, PRL 92, 136802 (2004) http://link.aps.org/abstract/PRL/v92/e136802, showing that their specific criticisms are unfounded, and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 T. M. Stace , S. D. Barrett

The Comment by Holas et al. [A. Holas, M. Cinal, and N. H. March, Phys. Rev. A 78, 016501 (2008)] on our recent paper [J. Schirmer and A. Dreuw, Phys. Rev. A 75, 022513 (2007)]. is an appropriate and valuable contribution. As a small…

Other Condensed Matter · Physics 2008-07-22 J. Schirmer , A. Dreuw

This study considers the data assimilation problem in coupled systems, which consists of two components (sub-systems) interacting with each other through certain coupling terms. A straightforward way to tackle the assimilation problem in…

Atmospheric and Oceanic Physics · Physics 2015-06-22 Xiaodong Luo , Ibrahim Hoteit

The Gaussian process state-space models (GPSSMs) represent a versatile class of data-driven nonlinear dynamical system models. However, the presence of numerous latent variables in GPSSM incurs unresolved issues for existing variational…

Machine Learning · Computer Science 2024-07-23 Zhidi Lin , Yiyong Sun , Feng Yin , Alexandre Hoang Thiéry

We propose a method for inference on moderately high-dimensional, nonlinear, non-Gaussian, partially observed Markov process models for which the transition density is not analytically tractable. Markov processes with intractable transition…

Methodology · Statistics 2020-04-02 Joonha Park , Edward L. Ionides

This is a Reply on the proceeding comment on our paper titled "Classical Simulations Including Electron Correlations for Sequential Double Ionization".

Atomic Physics · Physics 2013-10-30 Yueming Zhou , Cheng Huang , Qing Liao , Peixiang Lu

Rejoinder to ``Equi-energy sampler with applications in statistical inference and statistical mechanics'' by Kou, Zhou and Wong [math.ST/0507080]

Statistics Theory · Mathematics 2007-06-13 S. C. Kou , Qing Zhou , Wing H. Wong

Discussion of ``EQUI-energy sampler'' by Kou, Zhou and Wong [math.ST/0507080]

Statistics Theory · Mathematics 2007-06-13 Ying Nian Wu , Song-Chun Zhu

Discussion of ``EQUI-energy sampler'' by Kou, Zhou and Wong [math.ST/0507080]

Statistics Theory · Mathematics 2007-06-13 Ming-Hui Chen , Sungduk Kim

We present a practical implementation of the ensemble Kalman (EnKF) filter based on an iterative Sherman-Morrison formula. The new direct method exploits the special structure of the ensemble-estimated error covariance matrices in order to…

Numerical Analysis · Computer Science 2015-02-03 Elias D. Nino-Ruiz , Adrian Sandu , Jeffrey Anderson

This is a reply to the comment by J. L. Alonso et al. (arXiv:1302.6146; to appear in J. Chem. Phys) on our paper A. Abedi, N. T. Maitra, and E. K. U. Gross, J. Chem. Phys. 137, 22A530 (2012) [arXiv: 1208.4388]

Chemical Physics · Physics 2015-06-16 Ali Abedi , Neepa T. Maitra , E. K. U. Gross

The ensemble Kalman filter (EnKF) is widely used for nonlinear and high-dimensional state estimation because it replaces complex covariance propagation with simple ensemble statistics. However, conventional EnKF implementations can become…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Shida Jiang , Shengyu Tao , Zihe Liu , Scott Moura

I reply to a Comment by Q. Wang and W.G. Unruh regarding my paper "Hiding the Cosmological Constant" [Phys. Rev. Lett. 123, 131302].

General Relativity and Quantum Cosmology · Physics 2020-08-26 S. Carlip

We are pleased to see that Jeckelmann has made many changes to the original version of his comment on our paper as a result of our response. Here is a copy of this powerful response that reveals problems in his previous results. However,…

Strongly Correlated Electrons · Physics 2007-05-23 G. P. Zhang