Monte Carlo analysis of inverse problems

Inverse Problems

Volumn 18, Issue 3, 2002, Pages

  Mosegaard, Klaus ^a   Sambridge, Malcolm ^b  

^a UNIVERSITY OF COPENHAGEN   (Denmark)

^b AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTER SIMULATION; LINEARIZATION; MONTE CARLO METHODS; OPTIMIZATION; PARAMETER ESTIMATION; PROBLEM SOLVING; SAMPLING;

MONTE CARLO SAMPLERS;

INVERSE PROBLEMS;

EID: 0036608343     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/18/3/201     Document Type: Review

References (87)

1. The character of non-uniqueness in the conductivity modelling problem for the Earth
2. A simple statistical estimation procedure for Monte Carlo inversion in geophysics
3. A simple statistical estimation procedure for Monte Carlo inversion in geophysics: Efficiency and Hempel's paradox
4. Density modelling by Monte Carlo inversion - I methodology
5. Rapid determination of critical temperature in simulated annealing inversion
6. The structure of the upper mantle under the United States from dispersion of Rayleigh waves
7. -1 (f)
8. Upper mantle zone of low
9. Upper mantle zone of low
10. Automatic 1D waveform inversion of marine seismic refraction data
11. Past temperatures directly from the Greenland ice sheet
12. Genetic algorithms and simulated annealing
13. Ensemble inference in terms of empirical orthogonal functions
14. Genetic algorithms: A powerful tool for large-scale non-linear optimization problems
15. Genetic algorithms: An evolution on Monte Carlo methods in strongly non-linear geophysical optimization problems
16. An upper bound on the convergence rates of canonical genetic algorithms
17. Efficient metropolis jumping rules
18. Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images
19. Annealing Markov chain Monte Carlo with applications to ancestral inference
20. Variations in the structure of the upper mantle beneath Australia, from Rayleigh wave observations
21. Bayesian seismic waveform inversion: Parameter estimation and uncertainty analysis
22. Reversible jump Markov chain Monte Carlo computation and Bayesian model determination
23. Convergence criteria for genetic algorithms
24. An earth model incorporating free earth oscillation data
25. Monte Carlo sampling methods using Markov Chain and their applications
26. Recent refinements in geophysical constraints on Lunar origin and evolution
27. Global model optimization in reflection seismology by simulated annealing
28. The Somalia plate and the East African rift system; Present-day kinematics
29. A multi-station magnetotelluric study in southern Scotland; II, Monte Carlo inversion of the data and its geophysical and tectonic implications
30. Statistical inversion and Monte Carlo sampling methods in electrical impedance tomography
31. Inverse problems of seismology
32. Finite Markov chains
33. On the density distribution within the earth
34. Resolution analysis for discrete systems
35. Earthquake location; Genetic algorithms for teleseisms
36. New information on the deep lunar interior from an inversion of lunar free oscillation periods
37. A new seismic velocity model for the Moon from a Monte Carlo inversion of the Apollo Lunar seismic data
38. Optimization by simulated annealing
39. Monte Carlo estimation and resolution analysis of seismic background velocities
40. Reference velocity model estimation from prestack waveforms; Coherency optimization by simulated annealing
41. Identifying sets of acceptable solutions to non-linear geophysical inverse problems which have complicated misfit functions
42. Simulated tempering: A new Monte Carlo scheme
43. Probabilistic solution of ill-posed problems in computational vision
44. Equation of state calculations by fast computing machines
45. The Monte Carlo method
46. Thrust faulting and crust-upper mantle structure in East Australia
47. Bayesian analysis of implicit inverse problems
48. Monte Carlo sampling of solutions to inverse problems
49. A simulated annealing approach to seismic model optimization with sparse prior information
50. Vertical seismic profile inversion with genetic algorithms
51. Statistical mechanics of combinatorial optimization
52. Understanding inverse theory
53. Variability of estimated binding parameters
54. Earth models obtained by Monte Carlo inversion
55. Earth models consistent with geophysical data
56. Regionalized Earth models
57. Mantle heterogeneities, geoid, and plate motion; A Monte Carlo inversion
58. Nonlinear inversion statistical mechanics, and residual statics corrections
59. Automatic estimation of large residual statics corrections
60. Resolution studies of fluid flow models near the core-mantle boundary through Bayesian inversion of geomagnetic data
61. Exploring multi-dimensional landscapes without a map
62. Geophysical inversion with a neighbourhood algorithm - I. Searching a parameter space
63. Geophysical inversion with a neighbourhood algorithm - II. Appraising the ensemble
64. Finding acceptable models in nonlinear inverse problems using a neighbourhood algorithm
65. Genetic algorithms in seismic waveform inversion
66. Monte Carlo methods in geophysical inverse problems
67. Global optimization methods for multimodel inverse problems
68. Rapid sampling of model space using genetic algorithms
69. Global optimization methods in geophysical inversion
70. Genetic algorithm inversion for receiver functions with application to crust and uppermost mantle structure beneath Eastern Australia
71. Global search and genetic algorithms
72. Nonlinear multiparameter optimization using genetic algorithms: Inversion of plane wave seismograms
73. Ensemble inference in geophysical inverse problems
74. A genetic algorithm tutorial
75. Monte Carlo inversion of body wave observations
76. The general inverse problem: Implication of surface waves and free oscillations for Earth structure
77. Application of the genetic algorithm to residual statics estimation
78. Density modelling by Monte Carlo inversion - II comparison of recent earth models
79. Upper and lower mantle shear velocity modelling by Monte Carlo inversion