publications

Bradley M. Bell’s Publications

Implicit Function AD II 

Newton Step Methods for AD of an Objective Defined Using Implicit Functions
B.M. Bell,  Kasper Kristensen,
Optimization Methods and Software,
Taylor & Francis, 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 ,
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 ,
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 ,
G. Pillonetto, B.M. Bell,
Automatica,
v 44, n 7, p 1676-1685, 2008.
Abstract

Neuron Behavior 

Contributions of the input signal and prior activation history to the discharge behaviour of rat motoneurones ,
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 ,
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 ,
B.M. Bell, G. Pillonetto,
Inverse Problems,
v 20, n 3, p 627-646, 2004.
Abstract

Insulin Secretion Variance Estimation 

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

Marginal Likelihood Approximation 

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

Optimization: Foundations and Applications 

Book Review ,
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 ,
B.M. Bell,
IEEE Transactions on Signal Processing,
v 48, n 3, p 870-873, 2000.
Abstract

SAAM II 

SAAM II: Simulation, Analysis, and Modeling Software for tracer and pharmacokinetic studies ,
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 ,
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 ,
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 ,
B.M. Bell,
Mathematical Biosciences,
v 132, n 2, p 219, 1996.

Nonlinear Kalman Smoothing 

The iterated Kalman smoother as a Gauss-Newton method ,
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 ,
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 ,
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 ,
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 ,
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 ,
B.M. Bell,
Applied Mathematics and Optimization,
v 21, p 69-88, 1990.
Abstract

Burg’s Algorithm 

A two step Burg algorithm ,
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 ,
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 ,
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 ,
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 ,
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 ,
B.M. Bell,
University of Washington Applied Physics Laboratory,
v APL-UW, n TM-4-83, 1983.
Abstract ,

Acoustic Telemetry 

Long baseline deep ocean acoustic tracking and telemetry system ,
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