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Article

Newton, NJ (2018) Manifolds of Differentiable Densities. ESAIM: Probability and Statistics, 22. pp. 19-34. DOI https://doi.org/10.1051/ps/2018003

Newton, Nigel J (2016) Infinite-dimensional statistical manifolds based on a balanced chart. Bernoulli, 22 (2). pp. 711-731. DOI https://doi.org/10.3150/14-BEJ673

Newton, Nigel J (2015) Information geometric nonlinear filtering. Infinite Dimensional Analysis Quantum Probability and related topics, 18 (02). p. 1550014. DOI https://doi.org/10.1142/s0219025715500149

Sandberg, Henrik and Delvenne, Jean-Charles and Newton, Nigel J and Mitter, Sanjoy K (2014) Maximum work extraction and implementation costs for nonequilibrium Maxwell's demons. Physical Review E, 90 (4). 042119-. DOI https://doi.org/10.1103/physreve.90.042119

Newton, Nigel J and Mitter, Sanjoy K (2012) Variational Bayes and a problem of reliable communication: II. Infinite systems. Journal of Statistical Mechanics: Theory and Experiment, 2012 (11). P11008-P11008. DOI https://doi.org/10.1088/1742-5468/2012/11/p11008

Newton, Nigel J (2012) An infinite-dimensional statistical manifold modelled on Hilbert space. Journal of Functional Analysis, 263 (6). pp. 1661-1681. DOI https://doi.org/10.1016/j.jfa.2012.06.007

Newton, NJ and Mitter, SK (2010) Variational Bayes and a Problem of Reliable Communication I: Finite Systems. Communications in Information and Systems, 10 (3). pp. 155-182. DOI https://doi.org/10.4310/cis.2010.v10.n3.a2

Newton, Nigel J (2008) Interactive Statistical Mechanics and Nonlinear Filtering. Journal of Statistical Physics, 133 (4). pp. 711-737. DOI https://doi.org/10.1007/s10955-008-9622-z

Book Section

Newton, NJ (2011) Dual filters, path estimators and information. In: The Oxford Handbook of Nonlinear Filtering. Oxford Handbooks in Mathematics . OUP Oxford, pp. 471-499. ISBN 9780199532902.

Monograph

Newton, Nigel J (2016) Transfer Entropy and Directed Information in Gaussian diffusion processes. Working Paper. Arxiv. (Unpublished)

Conference or Workshop Item

Sandberg, Henrik and Delvenne, Jean-Charles and Newton, Nigel J and Mitter, Sanjoy K (2014) Thermodynamic costs in implementing Kalman-Bucy filters. In: 2014 52nd Annual Allerton Conference on Communication, Control, and Computing (Allerton), 2014-09-30 - 2014-10-03.

Newton, Nigel J (2013) Infinite-Dimensional Manifolds of Finite-Entropy Probability Measures. In: UNSPECIFIED, ? - ?.