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The extended Kalman filter is perhaps the most standard tool to estimate in real time the state of a dynamical system from noisy measurements of some function of the system, with extensive practical applications (such as position tracking via GPS).
Transformations of Wiener integrals under translations
Robert H Cameron and William T Martin · 1944
Earlier work this paper cites.
Information theory and statistics
Solomon Kullback · 1968
Earlier work this paper cites.
Stochastic processes and filtering theory
Andrew H. Jazwinski · 1970
Earlier work this paper cites.
Gaussian measures in Banach spaces
Hui-Hsiung Kuo · 1975
Earlier work this paper cites.
Riemannian geometry
S. Gallot, D. Hulin, and J. Lafontaine · 1987
Earlier work this paper cites.
Training multilayer perceptrons with the extended Kalman algorithm
Sharad Singhal and Lance Wu · 1988
Earlier work this paper cites.
Comparative analysis of backpropagation and the extended Kalman filter for training multilayer perceptrons
Dennis W. Ruck, Steven K. Rogers, Matthew Kabrisky, Peter S. Maybeck, and Mark E. Oxley · 1992
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Methods of information geometry
Shun-ichi Amari and Hiroshi Nagaoka · 1993
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Incremental least squares methods and the extended Kalman filter
Dimitri P. Bertsekas · 1996
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Natural gradient works efficiently in learning
Shun-ichi Amari · 1998
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Adaptive method of realizing natural gradient learning for multilayer perceptrons
Shun-ichi Amari, Hyeyoung Park, and Kenji Fukumizu · 2000
Earlier work this paper cites.
Hierarchical Bayesian models for regularization in sequential learning
João FG de Freitas, Mahesan Niranjan, and Andrew H. Gee · 2000
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Nonlinear estimation and modeling of noisy time-series by dual kalman filtering methods
Alex Tremain Nelson · 2000
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Asymptotic statistics
A.W. van der Vaart · 2000
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Kalman filtering and neural networks
Simon Haykin · 2001
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Filtering, predictive, and smoothing Cramér–Rao bounds for discrete-time nonlinear dynamic systems
Miroslav Šimandl, Jakub Královec, and Petr Tichavskỳ · 2001
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Large scale online learning
Léon Bottou and Yann LeCun · 2003
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Optimal state estimation: Kalman, H ∞ H_{\infty} , and nonlinear approaches
Dan Simon · 2006
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Topmoumoute online natural gradient algorithm
Nicolas Le Roux, Pierre-Antoine Manzagol, and Yoshua Bengio · 2007
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Black-box optimization using geodesics in statistical manifolds
Jérémy Bensadon · 2015
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Kalman filtering: Theory and practice using MATLAB
Mohinder S. Grewal and Angus P. Andrews · 2015
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Scaling up natural gradient by sparsely factorizing the inverse Fisher matrix
Roger B. Grosse and Ruslan Salakhutdinov · 2015
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Optimizing neural networks with Kronecker-factored approximate curvature
James Martens and Roger B. Grosse · 2015
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Riemannian metrics for neural networks I: feedforward networks
Yann Ollivier · 2015
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Practical Riemannian neural networks
Gaétan Marceau-Caron and Yann Ollivier · 2016
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Michael Roth and Fredrik Gustafsson · 2011
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A fresh look at the kalman filter
Jeffrey Humpherys, Preston Redd, and Jeremy West · 2012
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Stochastic gradient descent on Riemannian manifolds
Silvère Bonnabel · 2013
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Razvan Pascanu and Yoshua Bengio · 2013
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Bayesian filtering and smoothing
Simo Särkkä · 2013
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New insights and perspectives on the natural gradient method
James Martens · 2014
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Kalman-based stochastic gradient method with stop condition and insensitivity to conditioning
Vivak Patel · 2016
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Information geometric approach to recursive update in nonlinear filtering
Yubo Li, Yongqiang Cheng, Xiang Li, Xiaoqiang Hua, and Yuliang Qin · 2017
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Information-geometric optimization algorithms: A unifying picture via invariance principles
Yann Ollivier, Ludovic Arnold, Anne Auger, and Nikolaus Hansen · 2017
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Invariant kalman filtering
Axel Barrau and Silvère Bonnabel · 2018
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Online natural gradient as a kalman filter
Yann Ollivier · 2018
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Extended Kalman filter
Wikipedia · 2018
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