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» Approximation of Bayesian Inverse Problems for PDEs
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SIAMNUM
2010
120views more  SIAMNUM 2010»
12 years 11 months ago
Approximation of Bayesian Inverse Problems for PDEs
S. L. Cotter, M. Dashti, A. M. Stuart
SIAMSC
2011
219views more  SIAMSC 2011»
12 years 12 months ago
Fast Algorithms for Bayesian Uncertainty Quantification in Large-Scale Linear Inverse Problems Based on Low-Rank Partial Hessian
We consider the problem of estimating the uncertainty in large-scale linear statistical inverse problems with high-dimensional parameter spaces within the framework of Bayesian inf...
H. P. Flath, Lucas C. Wilcox, Volkan Akcelik, Judi...
ICCS
2007
Springer
13 years 11 months ago
Hessian-Based Model Reduction for Large-Scale Data Assimilation Problems
Assimilation of spatially- and temporally-distributed state observations into simulations of dynamical systems stemming from discretized PDEs leads to inverse problems with high-di...
Omar Bashir, Omar Ghattas, Judith Hill, Bart G. va...
ICIP
1999
IEEE
13 years 9 months ago
Nonlinear Multigrid Optimization for Bayesian Diffusion Tomography
Optical diffusion tomography attempts to reconstruct an object cross section from measurements of scattered and attenuated light. While Bayesian approaches are well suited to this...
Jong Chul Ye, Charles A. Bouman, Rick P. Millane, ...
JGO
2010
117views more  JGO 2010»
13 years 3 months ago
Machine learning problems from optimization perspective
Both optimization and learning play important roles in a system for intelligent tasks. On one hand, we introduce three types of optimization tasks studied in the machine learning l...
Lei Xu