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Bradley M. Bell's Publications

Implicit Function AD II
Newton Step Methods for AD of an Objective Defined Using Implicit Functions
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B.M. Bell, Kasper Kristensen,
Optimization Methods and Software, Taylor & Francis , Accepted Dec 2017,
Abstract

Laplace Approximation in R Language
TMB: Automatic Differentiation and Laplace Approximation

Kasper Kristensen, Anders Nielsen, Casper W. Berg, Hans Skaug, Bradley M. Bell,
Journal of Statistical Software, v 70, n 5, p 1-21, 2016.
Abstract

Gaussian Random Fields and RKHS
The connection between Bayesian estimation of a Gaussian random field and RKHS

A.Y. Aravkin, B.M. Bell, J.V. Burke, G. Pillonetto,
IEEE Transactions on Neural Networks and Learning Systems, v 26, n 7, p 1518-1524, 2015.
Abstract

Public Health Estimation
A Statistical Model and Estimation of Disease Rates as Functions of Age and Time

B.M. Bell, A.D., Flaxman,
Siam Journal on Scientific Computing: Computational Methods in Science and Engineering, v 35, n 2, p B511-B528, 2013.
Abstract

State Space Kernel Machine Learning
Learning using state space kernel machines

A.Y. Aravkin, B.M. Bell, J.V. Burke, G. Pillonetto,
IFAC Proceedings Volumes, v 18, n 1, p 2296-2302, 2011.
Abstract

Robust Kalman Smoothing
An L1-Laplace Robust Kalman Smoother

A.Y. Aravkin, B.M. Bell, J.V. Burke, G. Pillonetto,
IEEE Transaction on Automatic Control, v 56, n 12, p 2892-911, 2011.
Abstract

Kalman Filtering with Real-Time Applications
Book Review

B.M. Bell,
SIAM Review, B. O'Malley Ed., v 52, n 2, p 390-392, 2010.

Inequality Constrained Kalman Smoothing
An inequality constrained nonlinear Kalman-Bucy smoother by interior point likelihood maximization

B.M. Bell, J.V. Burke, G. Pillonetto,
Automatica, v 45, n 1, p 25-33, 2009.
Abstract

Implicit Function AD I
Algorithmic differentiation of implicit functions and optimal values
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B.M. Bell, J.V. Burke,
Advances in Automatic Differentiation, Editors: C. Bischof, H. Bucker, P. Hovland, U. Naumann, and J. Utke, 2008.
Abstract

Nonlinear Bayesian Kalman Smoothing II
Approximating the Bayesian inverse for nonlinear dynamical systems
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B.M. Bell, G. Pillonetto,
4th AIP International Conference and the 1st Congress of the IPIA, Journal of Physics: Conference Series 124,
2008.
Abstract

Nonlinear Bayesian Kalman Smoothing I
Optimal smoothing of non-linear dynamic systems via Monte Carlo Markov chains
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G. Pillonetto, B.M. Bell,
Automatica, v 44, n 7, p 1676-1685, 2008.
Abstract

Semi-Blind Deconvolution
Bayes and empirical Bayes semi-blind deconvolution using eigenfunctions of a prior covariance
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G. Pillonetto, B.M. Bell,
Automatica, v 43, n 10, p 1698-1712, 2007.

Neuron Behavior
Contributions of the input signal and prior activation history to the discharge behaviour of rat motoneurones
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R.K. Powers, Y. Dai, B.M. Bell, D.B. Percival, M.D. Binder,
The Journal of Physiology, v 562, p 707-724, 2005.
Abstract

Mitochondrial Oxygen Consumption
Estimating in vitro mitochondrial oxygen consumption during muscle contraction and recovery: a novel approach that accounts for diffusion
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R.K. Dash, B.M. Bell, M.J. Kushmerick, P. Vicini,
Annals of Biomedical Engineering, v 33, n 3, p 343-355, 2005.
Abstract

Stochastic Function Parameter Estimation
Estimating parameters and stochastic functions of one variable using nonlinear measurement models
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B.M. Bell, G. Pillonetto,
Inverse Problems, v 20, n 3, p 627-646, 2004.
Abstract , Paper

Insulin Secretion Variance Estimation
Deconvolution of non-stationary physical signals: a smooth variance model for insulin secretion rate
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G. Pillonetto, B.M. Bell,
Inverse Problems, v 20, n 2, p 367-383, 2004.
Abstract , Paper

Marginal Likelihood Approximation
Approximating the marginal likelihood estimate for models with random parameters
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B.M. Bell,
Applied Math And Computation, v 119, p 57-75, 2001.
Abstract

Optimization: Foundations and Applications
Book Review
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B.M. Bell,
SIAM Review, B. O'Malley Ed., v 43, p 554-555, 2001.

Kalman Smoother Marginal Likelihood
The marginal likelihood for parameters in a discrete Gauss-Markov process
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B.M. Bell,
IEEE Transactions on Signal Processing, v 48, n 3, p 870-873, 2000.
Abstract , Paper

SAAM II
SAAM II: Simulation, Analysis, and Modeling Software for tracer and pharmacokinetic studies
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Barrett P.H., Bell B.M., Cobelli C., Golde H., Schumitzky A., Vicini P., Foster D.M.
Metabolism, v 47, p 484-492, 1998.
Abstract

Variance Parameter Estimation
A relative weighting method for estimating parameters and variances in multiple data sets
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B.M. Bell, J.V. Burke, A. Schumitzky,
Computational Statistics and Data Analysis, v 22, n 2, p 119-135, 1996.
Abstract

GPS
A method for GPS positioning
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D.J. Dailey, B.M. Bell,
IEEE Transactions on Aerospace and Electronic Systems, v 32, n 3, p 1148-1154, 1996.
Abstract

Mlab
Software Review of MLAB
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B.M. Bell,
Mathematical Biosciences, v 132, n 2, p 219, 1996.

Nonlinear Kalman Smoothing
The iterated Kalman smoother as a Gauss-Newton method
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B.M. Bell,
SIAM Journal on Optimization, v 4, n 3, 1994.
Abstract

Thomson's Spectral Multitapers
Calculating Thomson's spectral multitapers by inverse iteration
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B.M. Bell, D.B. Percival, A.T. Walden,
Journal of Computational and Graphical Statistics, 1993.
Abstract

Nonlinear Kalman Filtering II
The iterated Kalman filter update as a Gauss-Newton method
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B.M. Bell, F.W. Cathey,
IEEE Transactions on Automatic Control, v 38, n 2, p 294-297, 1993.
Abstract

Nonlinear Kalman Filtering I
Nonlinear Kalman filtering of long-baseline, short-baseline, GPS, and depth measurements
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B.M. Bell, B.M. Howe, J.A. Mercer, R.C. Spindel,
Proceedings of the Twenty-Fifth Asilomar Conference on Signals, Systems and Computers, p 131-136, 1991.
Abstract

Acoustic Multi-path II
A matched filter network for estimating pulse arrival times
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B.M. Bell, S.A. Reynolds,
IEEE Transactions on Signal Processing, v 39, n 2, 1991.
Abstract

Semi-infinite Optimization
Global convergence of a semi-infinite optimization method
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B.M. Bell,
Applied Mathematics and Optimization, v 21, p 69-88, 1990.
Abstract

Burg's Algorithm
A two step Burg algorithm
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B.M. Bell, D.B. Percival,
IEEE Transactions on Signal Processing, v 39, n 1, 1991.
Abstract

Generalized Gamma Distribution
Generalized gamma parameter estimation and moment evaluation
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B.M. Bell,
Communications in Statistics,
v 17, n 2, p 507-517, 1988.
Abstract

Acoustic Multi-path I
Separating multipaths by global optimization of a multidimensional matched filter
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B.M. Bell, T.E. Ewart,
IEEE Speech and Signal Processing, v ASSP-34, n 5, p 1029-1037, 1986.
Abstract

Ph.D. Thesis
Nonsmooth optimization by successive quadratic programming
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B.M. Bell,
Ph.D. Thesis at University of Washington, 1984.
Abstract

Error Correcting Codes II
Implementation of error detection and correction codes, for acoustic data telemetry
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J.L. Backes, B.M. Bell, J.B. Miller,
Oceans 83 Conference Proceedings, v IEEE Pub. 83CH1972--9, p 167-175, 1983.

Error Correcting Codes I
Software techniques for error correcting codes
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B.M. Bell,
University of Washington Applied Physics Laboratory, v APL-UW, n TM-4-83, 1983.
Abstract , pdf

Acoustic Telemetry
Long baseline deep ocean acoustic tracking and telemetry system
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J.L. Backes, B.M. Bell, L.O. Olson,
Oceans 81 Conference Proceedings, IEEE Pub. 81CH1685-7, p 1-8, 1981.

Line Search
An improved line search technique

B.M. Bell,
SIGMAP Bulletin, n 25, p 33-8, 1978.
Abstract
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