UNCERTAINTY QUANTIFICATION GROUP PAPERS


Home - Uncertainty Quantification Group

Federal funding for our work comes from the National Science Foundation, the Department of Energy.
Our papers:
J. F. Alexander, G. E. Eyink, J. M. Restrepo, ``Accelerated Monte-Carlo for Optimal Estimation of Time Series,'' Journal of Statistical Physics, * 119 *, pp.1331-1345, 2005.
Barber, J., Alberding, J., Restrepo, J., Secomb, T., "Simulated Two-Dimensional Red Blood Cell Motion, Deformation, and Partitioning in Microvessel Bifurcations," Annals of Biomedical Engineering, 36(1690-8), 2008.
Kobus Barnard and Quanfu Fan, "Reducing correspondence ambiguity in loosely labeled training data," IEEE Computer Society Conference on Computer Vision and Pattern Recognition, June, 2007.
P. Dostert, Y. Efendiev, B. Mohanty, "Efficient uncertainty quantification techniques for Richards' equation," Advances in Water Resources, submitted.
P. Dostert, Y. Efendiev, T.Y. Hou,``Multiscale finite element methods for stochastic porous media flow equations and application to uncertainty quantification,'' Computer Methods in Applied Mechanics and Engineering, Volume 197, Issues 43-44, pp. 3445-3455, 2008.
P. Dostert, Y. Efendiev, T.Y. Hou, W. Luo, ``Coarse-Gradient Langevin Algorithms for Dynamic Data Integration and Uncertainty Quantification,'' Journal of Computational Physics, 217(1), pp.123-142, 2006.
G. E. Eyink, J. M. Restrepo, J. F. Alexander, ``A Statistical-Mechanical Approach to Data Assimilation for Nonlinear Dynamics, III Numerical Algorithms'', Journal of Statistical Physics, 2004.
G. E. Eyink, J. M. Restrepo, J. F. Alexander, ``A Statistical-Mechanical Approach to Data Assimilation for Nonlinear Dynamics'', pp 35+12 figures, *accepted, subject to revisions*, Journal of Statistical Physics, September, 2003.
G. L. Eyink, J. Restrepo, and F. J. Alexander "A Statistical-Mechanical Approach to Data Assimilation for Nonlinear Dynamics". (also available as a preprint as ``A Statistical-Mechanical Approach to Data Assimilation Using Moment Closures,'', 26 pages) Journal of Statistical Physics, 2003.
G. E. Eyink, J. M. Restrepo, J. F. Alexander, ``A Mean Field Approximation in Data Assimilation for Nonlinear Dynamics'', Physica D, * 195 *, pp. 347-368, 2004.
Jonathan B. Goodman, Kevin K. Lin, "Coupling Control Variates for Markov Chain Monte Carlo," preprint (2008); arXiv:0809.2300v1
M. Hasson, J.M. Restrepo, ``Approximating on Disjoint Intervals and its Application to Matrix Preconditioning,'', Complex Variables and Elliptic Equations, * 52 *, DOI: 10.1080/17476930701524222 (2007).
M. Hasson, J.M. Restrepo, J. M. Hyman, ``A Strategy for Detecting Extreme Eigenvalues Bounding Gaps in the Discrete Spectrum of Self-Adjoint Operators,'' Computers and Mathematics with Applications, * 53 *, pp. 1271-1283 (2007).
S. Kim, G. Eyink, J. M. Restrepo, J. F. Alexander, G. W. Johnson, ``Ensemble Filtering for Nonlinear Dynamics,'' Monthly Weather Review, * 131 *, pp. 2586-2594, 2003.
Paul Krause, "The Diffusion Kernel Filter", accepted under review, J Stat Physics, (2008).
P. Krause, J. M. Restrepo, ``Lagrangian Data Assimilation Using the Kernel Diffusion Method'', * accepted *, Monthly Weather Review, September, 2008.
D. Kurtze, J. M. Restrepo, J. Ditmann, ``Sustained Oscillations due to Convective Adjustment in Box Models'', * resubmitted *, Numerical Ocean Circulation Modeling, pp 30+8 figures, May 2008.
E. Lane, S. Peacock, J. M. Restrepo, ``A dynamic-flow carbon-cycle box model and high-latitude sensitivity,'' Tellus B, * 58 *, pp.257-278 (2006).
S. Peacock, E. Lane, J. M. Restrepo, ``A possible sequence of events for the generalized glacial-interglacial cycle,'' Journal of Global Biogeochemical Cycles, * 20 *, GB2010 (2006).
J. M. Restrepo, R. Rael, J. Hyman, ``Influence of Polling on Elections,'', *in revision*, November 2007, Journal of Public Choice, pp 67+6 figures
J. M. Restrepo, S. T. McDaniel, ``Spatial Coherence in the High Frequency Limit'', Waves in Random Media, * 2 *, pp 183-193,
J. M. Restrepo, G. K. Leaf, ``Noise Effects on Wave-Generated Transport Induced by Ideal Waves'', Journal of Physical Oceanography, * 32 *, pp. 2334-2349, 2002.
J. M. Restrepo, S. T. McDaniel, ``Two Models for the Spatially Covariant Field Scattered by Randomly Rough Pressure-release Surfaces with Gaussian Spectra'', Journal of the Acoustical Society of America, * 87 *, pp 2033-2043 , 1990.
J. M. Restrepo, ``A Path Integral Method for Data Assimilation,'' Physica D, * 237 *, pp. 14--27 (2008).
J. M. Restrepo, ``Wave Breaking Dissipation in a Wave-driven Circulation,'' * 37 *, Journal of Physical Oceanography, pp 1749-1763 (2007).
Joseph Schlecht, Kobus Barnard, Ekaterina Spriggs, and Barry Pryor, "Inferring Grammar-based Structure Models in 3D Microscopy Data," IEEE Computer Society Conference on Computer Vision and Pattern Recognition, June, 2007.
Schlecht, J., Kaplan, M., Barnard, K., Karafet, T., Hammer, M., Merchant, N., "Machine Learning Approaches for Classifying Haplogroup from Y Chromosome STR Data," PLoS Computational Biology, 4(6), 2008.