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Volumn 19, Issue , 2010, Pages 451-459

Inverse problems: A Bayesian perspective

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EID: 77951793592     PISSN: 09624929     EISSN: 14740508     Source Type: Journal    
DOI: 10.1017/S0962492910000061     Document Type: Review
Times cited : (1737)

References (229)
  • 2
    • 58049121533 scopus 로고    scopus 로고
    • Different approaches to model error formulation in 4D-var: A study with high resolution advection schemes
    • S. Akella and I. Navon (2009), 'Different approaches to model error formulation in 4D-Var: A study with high resolution advection schemes', Tellus 61 A, 112-128.
    • (2009) Tellus , vol.61 A , pp. 112-128
    • Akella, S.1    Navon, I.2
  • 3
    • 0035808188 scopus 로고    scopus 로고
    • The analysis of an ill-posed problem using multi-scale resolution and second-order adjoint techniques
    • DOI 10.1016/S0045-7825(00)00299-1, PII S0045782500002991
    • A. Alekseev and I. Navon (2001), 'The analysis of an ill-posed problem using multiscale resolution and second order adjoint techniques', Comput. Meth. Appl. Mech. Engrg 190, 1937-1953. (Pubitemid 32333691)
    • (2001) Computer Methods in Applied Mechanics and Engineering , vol.190 , Issue.15-17 , pp. 1937-1953
    • Alekseev, A.K.1    Michael Navon, I.2
  • 5
    • 34248655432 scopus 로고    scopus 로고
    • Sampling the posterior: An approach to non-Gaussian data assimilation
    • DOI 10.1016/j.physd.2006.06.009, PII S016727890600217X, Data Assimilation
    • A. Apte, M. Hairer, A. Stuart and J. Voss (2007), 'Sampling the posterior: An approach to non-Gaussian data assimilation', Physica D 230, 50-64. (Pubitemid 46776902)
    • (2007) Physica D: Nonlinear Phenomena , vol.230 , Issue.1-2 , pp. 50-64
    • Apte, A.1    Hairer, M.2    Stuart, A.M.3    Voss, J.4
  • 6
    • 39049138716 scopus 로고    scopus 로고
    • A Bayesian approach to Lagrangian data assimilation
    • A. Apte, C. Jones and A. Stuart (2008a), 'A Bayesian approach to Lagrangian data assimilation', Tellus 60, 336-347.
    • (2008) Tellus , vol.60 , pp. 336-347
    • Apte, A.1    Jones, C.2    Stuart, A.3
  • 7
    • 40749141129 scopus 로고    scopus 로고
    • Data assimilation: Mathematical and statistical perspectives
    • DOI 10.1002/fld.1698, 9th ICFD Conference on Numerical Methods for Fluid Dynamics
    • A. Apte, C. Jones, A. Stuart and J. Voss (2008b), 'Data assimilation: Mathematical and statistical perspectives', Internat. J. Numer. Methods Fluids 56, 1033-1046. (Pubitemid 351385438)
    • (2008) International Journal for Numerical Methods in Fluids , vol.56 , Issue.8 , pp. 1033-1046
    • Apte, A.1    Jones, C.K.R.T.2    Stuart, A.M.3    Voss, J.4
  • 10
    • 0002009151 scopus 로고
    • Inference from inadequate and inaccurate data I
    • G. Backus (1970a), 'Inference from inadequate and inaccurate data I', Proc. Nat. Acad. Sci. 65, 1-7.
    • (1970) Proc. Nat. Acad. Sci. , vol.65 , pp. 1-7
    • Backus, G.1
  • 11
    • 0002009153 scopus 로고
    • Inference from inadequate and inaccurate data II
    • G. Backus (1970b), 'Inference from inadequate and inaccurate data II', Proc. Nat. Acad. Sci. 65, 281-287.
    • (1970) Proc. Nat. Acad. Sci. , vol.65 , pp. 281-287
    • Backus, G.1
  • 12
    • 0009974359 scopus 로고
    • Inference from inadequate and inaccurate data III
    • G. Backus (1970c), 'Inference from inadequate and inaccurate data III', Proc. Nat. Acad. Sci. 67, 282-289.
    • (1970) Proc. Nat. Acad. Sci. , vol.67 , pp. 282-289
    • Backus, G.1
  • 16
    • 2142695816 scopus 로고    scopus 로고
    • Assimilation of data into an ocean model with systematic errors near the equator
    • M. Bell, M. Martin and N. Nichols (2004), 'Assimilation of data into an ocean model with systematic errors near the equator', Quart. J. Royal Met. Soc. 130, 873-894.
    • (2004) Quart. J. Royal Met. Soc. , vol.130 , pp. 873-894
    • Bell, M.1    Martin, M.2    Nichols, N.3
  • 18
    • 1642360010 scopus 로고    scopus 로고
    • Toward a nonlinear ensemble filter for high-dimensional systems
    • T. Bengtsson, C. Snyder and D. Nychka (2003), 'Toward a nonlinear ensemble filter for high-dimensional systems', J. Geophys. Res. 108, 8775.
    • (2003) J. Geophys. Res. , vol.108 , pp. 8775
    • Bengtsson, T.1    Snyder, C.2    Nychka, D.3
  • 20
    • 0023110455 scopus 로고
    • Ocean data assimilation and the Kalman filter: Spatial regularity
    • A. Bennett and W. Budgell (1987), 'Ocean data assimilation and the Kalman filter: Spatial regularity', J. Phys. Oceanography 17, 1583-1601.
    • (1987) J. Phys. Oceanography , vol.17 , pp. 1583-1601
    • Bennett, A.1    Budgell, W.2
  • 21
    • 0028574987 scopus 로고
    • Open ocean modelling as an inverse problem
    • A. Bennett and B. Chua (1994), 'Open ocean modelling as an inverse problem', Monthly Weather Review 122, 1326-1336.
    • (1994) Monthly Weather Review , vol.122 , pp. 1326-1336
    • Bennett, A.1    Chua, B.2
  • 22
    • 0026272152 scopus 로고
    • Weighting initial conditions in variational assimilation schemes
    • A. Bennett and R. Miller (1990), 'Weighting initial conditions in variational assimilation schemes', Monthly Weather Review 119, 1098-1102.
    • (1990) Monthly Weather Review , vol.119 , pp. 1098-1102
    • Bennett, A.1    Miller, R.2
  • 23
    • 77953029674 scopus 로고    scopus 로고
    • A localization technique for ensemble transform Kalman filters
    • To appear
    • K. Bergemann and S. Reich (2010), 'A localization technique for ensemble transform Kalman filters', Quart. J. Royal Met. Soc. To appear.
    • (2010) Quart. J. Royal Met. Soc.
    • Bergemann, K.1    Reich, S.2
  • 24
    • 0042283657 scopus 로고    scopus 로고
    • Monte Carlo based ensemble forecasting
    • DOI 10.1023/A:1016656422040
    • L. Berliner (2001), 'Monte Carlo based ensemble forecasting', Statist. Comput. 11, 269-275. (Pubitemid 33635382)
    • (2001) Statistics and Computing , vol.11 , Issue.3 , pp. 269-275
    • Berliner, L.M.1
  • 27
    • 84904125684 scopus 로고    scopus 로고
    • Computational complexity of Metropolis-Hastings methods in high dimensions
    • P. L'Ecuyer and A. B. Owen, eds, Springer
    • A. Beskos and A. M. Stuart (2010), Computational complexity of Metropolis-Hastings methods in high dimensions. In Monte Carlo and Quasi-Monte Carlo Methods 2008 (P. L'Ecuyer and A. B. Owen, eds), Springer, pp. 61-72.
    • (2010) Monte Carlo and Quasi-Monte Carlo Methods 2008 , pp. 61-72
    • Beskos, A.1    Stuart, A.M.2
  • 28
    • 69149086344 scopus 로고    scopus 로고
    • Optimal scalings for local Metropolis-hastings chains on non-product targets in high dimensions
    • A. Beskos, G. O. Roberts and A. M. Stuart (2009), 'Optimal scalings for local Metropolis-Hastings chains on non-product targets in high dimensions', Ann. Appl. Probab. 19, 863-898.
    • (2009) Ann. Appl. Probab. , vol.19 , pp. 863-898
    • Beskos, A.1    Roberts, G.O.2    Stuart, A.M.3
  • 33
    • 0036424048 scopus 로고    scopus 로고
    • Transition path sampling: Throwing ropes over rough mountain passes
    • P. Bolhuis, D. Chandler, D. Dellago and P. Geissler (2002), 'Transition path sampling: Throwing ropes over rough mountain passes', Ann. Rev. Phys. Chem. 53, 291-318.
    • (2002) Ann. Rev. Phys. Chem. , vol.53 , pp. 291-318
    • Bolhuis, P.1    Chandler, D.2    Dellago, D.3    Geissler, P.4
  • 34
    • 0036904346 scopus 로고    scopus 로고
    • Electrical impedence tomography
    • L. Borcea (2002), 'Electrical impedence tomography', Inverse Problems 18, R99-R136.
    • (2002) Inverse Problems , vol.18
    • Borcea, L.1
  • 37
    • 0032439201 scopus 로고    scopus 로고
    • Analysis scheme in the ensemble Kalman filter
    • G. Burgers, P. Van Leeuwen and G. Evensen (1998), 'On the analysis scheme in the ensemble Kalman filter', Monthly Weather Review 126, 1719-1724. (Pubitemid 128597660)
    • (1998) Monthly Weather Review , vol.126 , Issue.6 , pp. 1719-1724
    • Burgers, G.1    Van Leeuwen, P.J.2    Evensen, G.3
  • 38
    • 33748750077 scopus 로고    scopus 로고
    • Preconditioned iterative methods for linear discrete ill-posed problems from a Bayesian inversion perspective
    • DOI 10.1016/j.cam.2005.10.038, PII S0377042705007211
    • D. Calvetti (2007), 'Preconditioned iterative methods for linear discrete ill-posed problems from a Bayesian inversion perspective', J. Comput. Appl. Math. 198, 378-395. (Pubitemid 44402943)
    • (2007) Journal of Computational and Applied Mathematics , vol.198 , Issue.2 , pp. 378-395
    • Calvetti, D.1
  • 39
    • 23244438778 scopus 로고    scopus 로고
    • Priorconditioners for linear systems
    • DOI 10.1088/0266-5611/21/4/014, PII S0266561105942251
    • D. Calvetti and E. Somersalo (2005a), 'Priorconditioners for linear systems', Inverse Problems 21, 1397-1418. (Pubitemid 41090548)
    • (2005) Inverse Problems , vol.21 , Issue.4 , pp. 1397-1418
    • Calvetti, D.1    Somersalo, E.2
  • 40
    • 25444490175 scopus 로고    scopus 로고
    • Statistical elimination of boundary artefacts in image deblurring
    • DOI 10.1088/0266-5611/21/5/012, PII S0266561105972006
    • D. Calvetti and E. Somersalo (2005b), 'Statistical elimination of boundary artefacts in image deblurring', Inverse Problems 21, 1697-1714. (Pubitemid 41376701)
    • (2005) Inverse Problems , vol.21 , Issue.5 , pp. 1697-1714
    • Calvetti, D.1    Somersalo, E.2
  • 41
    • 34249661485 scopus 로고    scopus 로고
    • Large-scale statistical parameter estimation in complex systems with an application to metabolic models
    • DOI 10.1137/050644860
    • D. Calvetti and E. Somersalo (2006), 'Large-scale statistical parameter estimation in complex systems with an application to metabolic models', Multiscale Modeling and Simulation 5, 1333-1366. (Pubitemid 350285626)
    • (2006) Multiscale Modeling and Simulation , vol.5 , Issue.4 , pp. 1333-1366
    • Calvetti, D.1    Somersalo, E.2
  • 42
    • 33947368708 scopus 로고    scopus 로고
    • A Gaussian hypermodel to recover blocky objects
    • DOI 10.1088/0266-5611/23/2/016, PII S0266561107367361, 016
    • D. Calvetti and E. Somersalo (2007a), 'Gaussian hypermodel to recover blocky objects', Inverse Problems 23, 733-754. (Pubitemid 46453832)
    • (2007) Inverse Problems , vol.23 , Issue.2 , pp. 733-754
    • Calvetti, D.1    Somersalo, E.2
  • 44
    • 44449098586 scopus 로고    scopus 로고
    • Hypermodels in the Bayesian imaging framework
    • D. Calvetti and E. Somersalo (2008), 'Hypermodels in the Bayesian imaging framework', Inverse Problems 24, #034013.
    • (2008) Inverse Problems , vol.24 , pp. 034013
    • Calvetti, D.1    Somersalo, E.2
  • 45
  • 46
    • 55149103972 scopus 로고    scopus 로고
    • Sampling based analysis of a spatially distributed model for liver metabolism at steady state
    • D. Calvetti, A. Kuceyeski and E. Somersalo (2008), 'Sampling based analysis of a spatially distributed model for liver metabolism at steady state', Multiscale Modeling and Simulation 7, 407-431.
    • (2008) Multiscale Modeling and Simulation , vol.7 , pp. 407-431
    • Calvetti, D.1    Kuceyeski, A.2    Somersalo, E.3
  • 47
    • 85032750937 scopus 로고    scopus 로고
    • An introduction to compressive sampling
    • March
    • E. Candès and M. Wakin (2008), 'An introduction to compressive sampling', IEEE Signal Processing Magazine, March 2008, 21-30.
    • (2008) IEEE Signal Processing Magazine , vol.2008 , pp. 21-30
    • Candès, E.1    Wakin, M.2
  • 48
    • 58149362915 scopus 로고
    • Flot de champs de veceurs non lipschitziens et équations de Navier-Stokes
    • J.-Y. Chemin and N. Lerner (1995), 'Flot de champs de veceurs non lipschitziens et équations de Navier-Stokes', J. Diff. Equations 121, 314-328.
    • (1995) J. Diff. Equations , vol.121 , pp. 314-328
    • Chemin, J.-Y.1    Lerner, N.2
  • 51
    • 70350453771 scopus 로고    scopus 로고
    • Implicit sampling for particle filters
    • A. Chorin and X. Tu (2009), 'Implicit sampling for particle filters', Proc. Nat. Acad. Sci. 106, 17249-17254.
    • (2009) Proc. Nat. Acad. Sci. , vol.106 , pp. 17249-17254
    • Chorin, A.1    Tu, X.2
  • 52
    • 79957464157 scopus 로고    scopus 로고
    • Interpolation and iteration for nonlinear filters
    • To appear
    • A. Chorin and X. Tu (2010), 'Interpolation and iteration for nonlinear filters', Math. Model. Numer. Anal. To appear.
    • (2010) Math. Model. Numer. Anal.
    • Chorin, A.1    Tu, X.2
  • 53
    • 79957503718 scopus 로고    scopus 로고
    • Solution error modelling and inverse problems
    • Wiley, New York, To appear
    • M. Christie (2010), Solution error modelling and inverse problems. In Simplicity, Complexity and Modelling, Wiley, New York, To appear.
    • (2010) Simplicity, Complexity and Modelling
    • Christie, M.1
  • 55
    • 0001429244 scopus 로고    scopus 로고
    • An inverse ocean modelling system
    • B. Chua and A. Bennett (2001), 'An inverse ocean modelling system', Ocean. Meteor. 3, 137-165.
    • (2001) Ocean. Meteor , vol.3 , pp. 137-165
    • Chua, B.1    Bennett, A.2
  • 57
    • 70450202962 scopus 로고    scopus 로고
    • Bayesian inverse problems for functions and applications to fluid mechanics
    • S. Cotter, M. Dashti, J. Robinson and A. Stuart (2009), 'Bayesian inverse problems for functions and applications to fluid mechanics', Inverse Problems 25, #115008.
    • (2009) Inverse Problems , vol.25 , pp. 115008
    • Cotter, S.1    Dashti, M.2    Robinson, J.3    Stuart, A.4
  • 59
    • 79957487200 scopus 로고    scopus 로고
    • S. Cotter, M. Dashti, J. Robinson and A. Stuart 2010b. In preparation
    • S. Cotter, M. Dashti, J. Robinson and A. Stuart (2010b). In preparation.
  • 60
    • 0000980873 scopus 로고    scopus 로고
    • Dual formulation of variational assimilation
    • P. Courtier (1997), 'Dual formulation of variational assimilation', Quart. J. Royal Met. Soc. 123, 2449-2461.
    • (1997) Quart. J. Royal Met. Soc. , vol.123 , pp. 2449-2461
    • Courtier, P.1
  • 61
    • 0023123538 scopus 로고
    • Variational assimilation of meteorological observations with the adjoint vorticity equation II: Numerical results
    • P. Courtier and O. Talagrand (1987), 'Variational assimilation of meteorological observations with the adjoint vorticity equation II: Numerical results', Quart. J. Royal Met. Soc. 113, 1329-1347.
    • (1987) Quart. J. Royal Met. Soc. , vol.113 , pp. 1329-1347
    • Courtier, P.1    Talagrand, O.2
  • 64
    • 79957482270 scopus 로고    scopus 로고
    • Using MCMC sampling to calibrate a computer model of a geothermal field
    • T. Cui, C. Fox, G. Nicholls and M. O'Sullivan (2010), 'Using MCMC sampling to calibrate a computer model of a geothermal field'. Submitted.
    • (2010) Submitted
    • Cui, T.1    Fox, C.2    Nicholls, G.3    O'Sullivan, M.4
  • 67
    • 67650745353 scopus 로고    scopus 로고
    • Uniqueness of the particle trajectories of the weak solutions of the two-dimensional Navier-stokes equations
    • M. Dashti and J. Robinson (2009), 'Uniqueness of the particle trajectories of the weak solutions of the two-dimensional Navier-Stokes equations', Nonlinearity 22, 735-746.
    • (2009) Nonlinearity , vol.22 , pp. 735-746
    • Dashti, M.1    Robinson, J.2
  • 68
    • 79957440107 scopus 로고    scopus 로고
    • Bayesian approach to an elliptic inverse problem
    • M. Dashti, S. Harris and A. M. Stuart (2010a), Bayesian approach to an elliptic inverse problem. In preparation.
    • (2010) Preparation
    • Dashti, M.1    Harris, S.2    Stuart, A.M.3
  • 70
    • 0024907683 scopus 로고
    • A variational continuous assimilation technique
    • J. Derber (1989), 'A variational continuous assimilation technique', Monthly Weather Review 117, 2437-2446.
    • (1989) Monthly Weather Review , vol.117 , pp. 2437-2446
    • Derber, J.1
  • 74
    • 33746521199 scopus 로고    scopus 로고
    • Coarse-grain Langevin algorithms for dynamic data integration
    • P. Dostert, Y. Efendiev, T. Hou and W. Luo (2006), 'Coarse-grain Langevin algorithms for dynamic data integration', J. Comput. Phys. 217, 123-142.
    • (2006) J. Comput. Phys. , vol.217 , pp. 123-142
    • Dostert, P.1    Efendiev, Y.2    Hou, T.3    Luo, W.4
  • 77
    • 4043091401 scopus 로고
    • The Onsager-machlup function as Lagrangian for the most probable path of a diffusion process
    • D. Dürr and A. Bach (1978), 'The Onsager-Machlup function as Lagrangian for the most probable path of a diffusion process', Comm. Math. Phys. 160, 153-170.
    • (1978) Comm. Math. Phys. , vol.160 , pp. 153-170
    • Dürr, D.1    Bach, A.2
  • 78
    • 72149127123 scopus 로고    scopus 로고
    • Efficient sampling techniques for uncertainty quantification in history matching using nonlinear error models and ensemble level upscaling techniques
    • Y. Efendiev, A. Datta-Gupta, X. Ma and B. Mallick (2009), 'Efficient sampling techniques for uncertainty quantification in history matching using nonlinear error models and ensemble level upscaling techniques', Water Resources Res. 45, #W11414.
    • (2009) Water Resources Res. , vol.45
    • Efendiev, Y.1    Datta-Gupta, A.2    Ma, X.3    Mallick, B.4
  • 79
    • 79957506551 scopus 로고    scopus 로고
    • Parameter estimation solving a weak constraint variational formulation for an Ekman model
    • M. Eknes and G. Evensen (1997), 'Parameter estimation solving a weak constraint variational formulation for an Ekman model', J. Geophys. Res. 12, 479-491.
    • (1997) J. Geophys. Res. , vol.12 , pp. 479-491
    • Eknes, M.1    Evensen, G.2
  • 80
    • 70350309487 scopus 로고    scopus 로고
    • Inverse problems in astronomical adaptive optics
    • B. Ellerbroek and C. Vogel (2009), 'Inverse problems in astronomical adaptive optics', Inverse Problems 25, #063001.
    • (2009) Inverse Problems , vol.25 , pp. 063001
    • Ellerbroek, B.1    Vogel, C.2
  • 82
    • 13744252042 scopus 로고    scopus 로고
    • Convergence rates in the Prokhorov metric for assessing uncertainty in ill-posed problems
    • DOI 10.1088/0266-5611/21/1/024
    • H. Engl, A. Hofinger and S. Kindermann (2005), 'Convergence rates in the Prokhorov metric for assessing uncertainty in ill-posed problems', Inverse Problems 21, 399-412. (Pubitemid 40238434)
    • (2005) Inverse Problems , vol.21 , Issue.1 , pp. 399-412
    • Engl, H.W.1    Hofinger, A.2    Kindermann, S.3
  • 84
    • 0033942436 scopus 로고    scopus 로고
    • An ensemble Kalman smoother for nonlinear dynamics
    • G. Evensen and P. Van Leeuwen (2000), 'An ensemble Kalman smoother for nonlinear dynamics', Monthly Weather Review 128, 1852-1867. (Pubitemid 30464421)
    • (2000) Monthly Weather Review , vol.128 , Issue.6 , pp. 1852-1867
    • Evensen, G.1    Van Leeuwen, P.J.2
  • 88
    • 40749158529 scopus 로고    scopus 로고
    • Bayesian field theory applied to scattered data interpolation and inverse problems
    • A. Iske and J. Levesley, eds, Springer
    • C. Farmer (2007), Bayesian field theory applied to scattered data interpolation and inverse problems. In Algorithms for Approximation (A. Iske and J. Levesley, eds), Springer, pp. 147-166.
    • (2007) Algorithms for Approximation , pp. 147-166
    • Farmer, C.1
  • 89
    • 0040009224 scopus 로고
    • Bayesian analysis in inverse problems
    • B. Fitzpatrick (1991), 'Bayesian analysis in inverse problems', Inverse Problems 7, 675-702.
    • (1991) Inverse Problems , vol.7 , pp. 675-702
    • Fitzpatrick, B.1
  • 90
    • 49849114033 scopus 로고
    • Well-posed stochastic extensions of ill-posed linear problems
    • J. Franklin (1970), 'Well-posed stochastic extensions of ill-posed linear problems', J. Math. Anal. Appl. 31, 682-716.
    • (1970) J. Math. Anal. Appl. , vol.31 , pp. 682-716
    • Franklin, J.1
  • 92
    • 84950453304 scopus 로고
    • Sampling-based approaches to calculating marginal densities
    • A. Gelfand and A. Smith (1990), 'Sampling-based approaches to calculating marginal densities', J. Amer. Statist. Soc. 85, 398-409.
    • (1990) J. Amer. Statist. Soc. , vol.85 , pp. 398-409
    • Gelfand, A.1    Smith, A.2
  • 93
    • 0036896227 scopus 로고    scopus 로고
    • On choosing and bounding probability metrics
    • A. Gibbs and F. su (2002), 'On choosing and bounding probability metrics', Internat. Statist. Review 70, 419-435.
    • (2002) Internat. Statist. Review , vol.70 , pp. 419-435
    • Gibbs, A.1    Su, F.2
  • 95
  • 96
    • 34548808885 scopus 로고    scopus 로고
    • Approximate Gauss-newton methods for nonlinear least squares problems
    • DOI 10.1137/050624935
    • S. Gratton, A. Lawless and N. Nichols (2007), 'Approximate Gauss-Newton methods for nonlinear least squares problems', SIAM J. Optimization 18, 106-132. (Pubitemid 351271323)
    • (2007) SIAM Journal on Optimization , vol.18 , Issue.1 , pp. 106-132
    • Gratton, S.1    Lawless, A.S.2    Nichols, N.K.3
  • 97
    • 0004079763 scopus 로고    scopus 로고
    • Adjoint methods for treating model error in data assimilation
    • ICFD, Oxford
    • A. Griffith and N. Nichols (1998), Adjoint methods for treating model error in data assimilation. In Numerical Methods for Fluid Dynamics VI, ICFD, Oxford, pp. 335-344.
    • (1998) Numerical Methods for Fluid Dynamics VI , pp. 335-344
    • Griffith, A.1    Nichols, N.2
  • 98
    • 0034433022 scopus 로고    scopus 로고
    • Adjoint methods in data assimilation for estimating model error
    • DOI 10.1023/A:1011454109203
    • A. Griffith and N. Nichols (2000), 'Adjoint techniques in data assimilation for treating systematic model error', J. Flow, Turbulence and Combustion 65, 469-488. (Pubitemid 32819930)
    • (2000) Flow, Turbulence and Combustion , vol.65 , Issue.3-4 , pp. 469-488
    • Griffith, A.K.1    Nichols, N.K.2
  • 101
    • 44449167998 scopus 로고    scopus 로고
    • Smoothing noisy data via regularization
    • C. Gu (2008), 'Smoothing noisy data via regularization', Inverse Problems 24, #034002.
    • (2008) Inverse Problems , vol.24 , pp. 034002
    • Gu, C.1
  • 102
    • 0000151936 scopus 로고    scopus 로고
    • Local existence results for the generalized inverse of the vorticity equation in the plane
    • C. Hagelberg, A. Bennett and D. Jones (1996), 'Local existence results for the generalized inverse of the vorticity equation in the plane', Inverse Problems 12, 437-454. (Pubitemid 126655731)
    • (1996) Inverse Problems , vol.12 , Issue.4 , pp. 437-454
    • Hagelberg, C.R.1    Bennett, A.F.2    Jones, D.A.3
  • 106
    • 52949103277 scopus 로고    scopus 로고
    • Analysis of SPDEs arising in path sampling II: The nonlinear case
    • M. Hairer, A. M. Stuart and J. Voss (2007), 'Analysis of SPDEs arising in path sampling II: The nonlinear case', Ann. Appl. Probab. 17, 1657-1706.
    • (2007) Ann. Appl. Probab. , vol.17 , pp. 1657-1706
    • Hairer, M.1    Stuart, A.M.2    Voss, J.3
  • 108
    • 79957475736 scopus 로고    scopus 로고
    • Sampling conditioned hypoelliptic diffusions
    • M. Hairer, A. Stuart and J. Voss (2010a), 'Sampling conditioned hypoelliptic diffusions'. Submitted.
    • (2010) Submitted
    • Hairer, M.1    Stuart, A.2    Voss, J.3
  • 109
    • 79957955931 scopus 로고    scopus 로고
    • Signal processing problems on function space: Bayesian formulation, stochastic PDEs and effective MCMC methods
    • D. Crisan and B. Rozovsky, eds, Oxford University Press, To appear
    • M. Hairer, A. Stuart and J. Voss (2010b), Signal processing problems on function space: Bayesian formulation, stochastic PDEs and effective MCMC methods. In Oxford Handbook of Nonlinear Filtering (D. Crisan and B. Rozovsky, eds), Oxford University Press, To appear.
    • (2010) Oxford Handbook of Nonlinear Filtering
    • Hairer, M.1    Stuart, A.2    Voss, J.3
  • 110
    • 34248634668 scopus 로고    scopus 로고
    • Analysis of SPDEs arising in path sampling I: The Gaussian case
    • M. Hairer, A. Stuart, J. Voss and P. Wiberg (2005), 'Analysis of SPDEs arising in path sampling I: The Gaussian case', Comm. Math. Sci. 3, 587-603.
    • (2005) Comm. Math. Sci. , vol.3 , pp. 587-603
    • Hairer, M.1    Stuart, A.2    Voss, J.3    Wiberg, P.4
  • 111
    • 77956890234 scopus 로고
    • Monte Carlo sampling methods using Markov chains and their applications
    • W. K. Hastings (1970), 'Monte Carlo sampling methods using Markov chains and their applications', Biometrika 57, 97-109.
    • (1970) Biometrika , vol.57 , pp. 97-109
    • Hastings, W.K.1
  • 112
    • 70449637983 scopus 로고    scopus 로고
    • On Tikhonov regularization in Banach spaces: Optimal convergence rate results
    • T. Hein (2009), 'On Tikhonov regularization in Banach spaces: Optimal convergence rate results', Applicable Analysis 88, 653-667.
    • (2009) Applicable Analysis , vol.88 , pp. 653-667
    • Hein, T.1
  • 113
    • 34547683819 scopus 로고    scopus 로고
    • Bayesian flux balance analysis applied to a skeletal muscle metabolic model
    • DOI 10.1016/j.jtbi.2007.04.002, PII S0022519307001841
    • J. Heino, K. Tunyan, D. Calvetti and E. Somersalo (2007), 'Bayesian flux balance analysis applied to a skeletal muscle metabolic model', J. Theor. Biol. 248, 91-110. (Pubitemid 47223235)
    • (2007) Journal of Theoretical Biology , vol.248 , Issue.1 , pp. 91-110
    • Heino, J.1    Tunyan, K.2    Calvetti, D.3    Somersalo, E.4
  • 114
    • 70350520035 scopus 로고    scopus 로고
    • Geometric ergodicity of hybrid samplers for ill-posed inverse problems
    • R. Herbei and I. McKeague (2009), 'Geometric ergodicity of hybrid samplers for ill-posed inverse problems', Scand. J. Statist. 36, 839-853.
    • (2009) Scand. J. Statist. , vol.36 , pp. 839-853
    • Herbei, R.1    McKeague, I.2
  • 115
    • 65649110897 scopus 로고    scopus 로고
    • Gyres and jets: Inversion of tracer data for ocean circulation structure
    • R. Herbei, I. McKeague and K. Speer (2008), 'Gyres and jets: Inversion of tracer data for ocean circulation structure', J. Phys. Oceanography 38, 1180-1202.
    • (2008) J. Phys. Oceanography , vol.38 , pp. 1180-1202
    • Herbei, R.1    McKeague, I.2    Speer, K.3
  • 116
    • 36749089116 scopus 로고    scopus 로고
    • Convergence rate for the Bayesian approach to linear inverse problems
    • DOI 10.1088/0266-5611/23/6/012, PII S0266561107373334
    • A. Hofinger and H. Pikkarainen (2007), 'Convergence rates for the Bayesian approach to linear inverse problems', Inverse Problems 23, 2469-2484. (Pubitemid 350212310)
    • (2007) Inverse Problems , vol.23 , Issue.6 , pp. 2469-2484
    • Hofinger, A.1    Pikkarainen, H.K.2
  • 117
    • 61349093573 scopus 로고    scopus 로고
    • Convergence rates for linear inverse problems in the presence of an additive normal noise
    • A. Hofinger and H. Pikkarainen (2009), 'Convergence rates for linear inverse problems in the presence of an additive normal noise', Stoch. Anal. Appl. 27, 240-257.
    • (2009) Stoch. Anal. Appl. , vol.27 , pp. 240-257
    • Hofinger, A.1    Pikkarainen, H.2
  • 118
    • 2142765980 scopus 로고    scopus 로고
    • Assessment of wind stress errors using bias corrected ocean data assimilation
    • M. Huddleston, M. Bell, M. Martin and N. Nichols (2004), 'Assessment of wind stress errors using bias corrected ocean data assimilation', Quart. J. Royal Met. Soc. 130, 853-872.
    • (2004) Quart. J. Royal Met. Soc. , vol.130 , pp. 853-872
    • Huddleston, M.1    Bell, M.2    Martin, M.3    Nichols, N.4
  • 119
    • 0004694060 scopus 로고    scopus 로고
    • Approximating and maximizing the likelihood for a general state space model
    • A. Doucet, N. de Freitas and N. Gordon, eds, Springer
    • M. Hurzeler and H. Künsch (2001), Approximating and maximizing the likelihood for a general state space model. In Sequential Monte Carlo Methods in Practice (A. Doucet, N. de Freitas and N. Gordon, eds), Springer, pp. 159-175.
    • (2001) Sequential Monte Carlo Methods in Practice , pp. 159-175
    • Hurzeler, M.1    Künsch, H.2
  • 120
    • 34547653939 scopus 로고    scopus 로고
    • Discretization error in dynamical inverse problems: One-dimensional model case
    • DOI 10.1515/jiip.2007.020
    • J. Huttunen and H. Pikkarainen (2007), 'Discretization error in dynamical inverse problems: One-dimensional model case', J. Inverse and Ill-posed Problems 15, 365-386. (Pubitemid 47213844)
    • (2007) Journal of Inverse and Ill-Posed Problems , vol.15 , Issue.4 , pp. 365-386
    • Huttunen, J.M.J.1    Pikkarainen, H.K.2
  • 121
    • 34248664438 scopus 로고    scopus 로고
    • Data assimilation
    • K. Ide and C. Jones (2007), 'Data assimilation', Physica D 230, vii-viii.
    • (2007) Physica D , vol.230
    • Ide, K.1    Jones, C.2
  • 122
    • 34248656285 scopus 로고    scopus 로고
    • Lagrangian data assimilation for pointvortex system
    • K. Ide, L. Kuznetsov and C. Jones (2002), 'Lagrangian data assimilation for pointvortex system', J. Turbulence 3, 53.
    • (2002) J. Turbulence , vol.3 , pp. 53
    • Ide, K.1    Kuznetsov, L.2    Jones, C.3
  • 124
    • 77950242739 scopus 로고    scopus 로고
    • Comparison of sequential data assimilation methods for the Kuramoto-sivashinsky equation
    • M. Jardak, I. Navon and M. Zupanski (2010), 'Comparison of sequential data assimilation methods for the Kuramoto-Sivashinsky equation', Internat. J. Numer. Methods Fluids 62, 374-402.
    • (2010) Internat. J. Numer. Methods Fluids , vol.62 , pp. 374-402
    • Jardak, M.1    Navon, I.2    Zupanski, M.3
  • 125
    • 15744376917 scopus 로고    scopus 로고
    • A singular vector perspective of 4DVAR: Filtering and interpolation
    • C. Johnson, B. Hoskins and N. Nichols (2005), 'A singular vector perspective of 4DVAR: Filtering and interpolation', Quart. J. Royal Met. Soc. 131, 1-20.
    • (2005) Quart. J. Royal Met. Soc. , vol.131 , pp. 1-20
    • Johnson, C.1    Hoskins, B.2    Nichols, N.3
  • 126
    • 33845436088 scopus 로고    scopus 로고
    • A singular vector perspective of 4DVAR: The spatial structure and evolution of baroclinic weather systems
    • DOI 10.1175/MWR3243.1
    • C. Johnson, B. Hoskins, N. Nichols and S. Ballard (2006), 'A singular vector perspective of 4DVAR: The spatial structure and evolution of baroclinic weather systems', Monthly Weather Review 134, 3436-3455. (Pubitemid 44896134)
    • (2006) Monthly Weather Review , vol.134 , Issue.11 , pp. 3436-3455
    • Johnson, C.1    Hoskins, B.J.2    Nichols, N.K.3    Ballard, S.P.4
  • 127
    • 0034292512 scopus 로고    scopus 로고
    • Statistical inversion and Monte Carlo sampling methods in electrical impedance tomography
    • DOI 10.1088/0266-5611/16/5/321
    • J. Kaipio and E. Somersalo (2000), 'Statistical inversion and Monte Carlo sampling methods in electrical impedance tomography', Inverse Problems 16, 1487-1522. (Pubitemid 32022179)
    • (2000) Inverse Problems , vol.16 , Issue.5 , pp. 1487-1522
    • Kaipio, J.P.1    Kolehmainen, V.2    Somersalo, E.3    Vauhkonen, M.4
  • 129
    • 38849099711 scopus 로고    scopus 로고
    • Approximation errors in nonstationary inverse problems
    • J. Kaipio and E. Somersalo (2007a), 'Approximation errors in nonstationary inverse problems', Inverse Problems and Imaging 1, 77-93.
    • (2007) Inverse Problems and Imaging , vol.1 , pp. 77-93
    • Kaipio, J.1    Somersalo, E.2
  • 130
    • 33748749612 scopus 로고    scopus 로고
    • Statistical inverse problems: Discretization, model reduction and inverse crimes
    • DOI 10.1016/j.cam.2005.09.027, PII S0377042705007296
    • J. Kaipio and E. Somersalo (2007b), 'Statistical inverse problems: Discretization, model reduction and inverse crimes', J. Comput. Appl. Math. 198, 493-504. (Pubitemid 44402950)
    • (2007) Journal of Computational and Applied Mathematics , vol.198 , Issue.2 , pp. 493-504
    • Kaipio, J.1    Somersalo, E.2
  • 133
    • 70350318924 scopus 로고    scopus 로고
    • Iterative methods for nonlinear ill-posed problems in Banach spaces: Convergence and applications to parameter identification problems
    • B. Kaltenbacher, F. Schöpfer and T. Schuster (2009), 'Iterative methods for nonlinear ill-posed problems in Banach spaces: Convergence and applications to parameter identification problems', Inverse Problems 25, #065003.
    • (2009) Inverse Problems , vol.25 , pp. 065003
    • Kaltenbacher, B.1    Schöpfer, F.2    Schuster, T.3
  • 134
    • 0035648165 scopus 로고    scopus 로고
    • Bayesian calibration of computer models
    • M. Kennedy and A. O'Hagan (2001), 'Bayesian calibration of computer models', J. Royal Statist. Soc. 63 B, 425-464.
    • (2001) J. Royal Statist. Soc. , vol.63 B , pp. 425-464
    • Kennedy, M.1    O'Hagan, A.2
  • 136
    • 68649096448 scopus 로고    scopus 로고
    • Tensor decompositions and applications
    • T. Kolda and B. Bader (2009), 'Tensor decompositions and applications', SIAM Review 51, 455-500.
    • (2009) SIAM Review , vol.51 , pp. 455-500
    • Kolda, T.1    Bader, B.2
  • 137
    • 0242583139 scopus 로고    scopus 로고
    • A method for assimilation of Lagrangian data
    • DOI 10.1175/1520-0493(2003)131<2247:AMFAOL>2.0.CO;2
    • L. Kuznetsov, K. Ide and C. Jones (2003), 'A method for assimilation of Lagrangian data', Monthly Weather Review 131, 2247-2260. (Pubitemid 37400419)
    • (2003) Monthly Weather Review , vol.131 , Issue.10 , pp. 2247-2260
    • Kuznetsov, L.1    Ide, K.2    Jones, C.K.R.T.3
  • 138
    • 6344231795 scopus 로고    scopus 로고
    • Can one use total variation prior for edgepreserving Bayesian inversion?
    • M. Lassas and S. Siltanen (2004), 'Can one use total variation prior for edgepreserving Bayesian inversion?', Inverse Problems 20, 1537-1563.
    • (2004) Inverse Problems , vol.20 , pp. 1537-1563
    • Lassas, M.1    Siltanen, S.2
  • 139
    • 70450218926 scopus 로고    scopus 로고
    • Discretization-invariant Bayesian inversion and Besov space priors
    • M. Lassas, E. Saksman and S. Siltanen (2009), 'Discretization-invariant Bayesian inversion and Besov space priors', Inverse Problems and Imaging 3, 87-122.
    • (2009) Inverse Problems and Imaging , vol.3 , pp. 87-122
    • Lassas, M.1    Saksman, E.2    Siltanen, S.3
  • 140
    • 33845440376 scopus 로고    scopus 로고
    • Inner-loop stopping criteria for incremental four-dimensional variational data assimilation
    • DOI 10.1175/MWR3242.1
    • A. Lawless and N. Nichols (2006), 'Inner loop stopping criteria for incremental fourdimensional variational data assimilation', Monthly Weather Review 134, 3425-3435. (Pubitemid 44896133)
    • (2006) Monthly Weather Review , vol.134 , Issue.11 , pp. 3425-3435
    • Lawless, A.S.1    Nichols, N.K.2
  • 141
    • 16344394714 scopus 로고    scopus 로고
    • Approximate iterative methods for variational data assimilation
    • DOI 10.1002/fld.851, 8th ICFD Conference on Numerical Methods for Fluid Dynamics: Part 2
    • A. Lawless, S. Gratton and N. Nichols (2005a), 'Approximate iterative methods for variational data assimilation', Internat. J. Numer. Methods Fluids 47, 1129-1135. (Pubitemid 40472587)
    • (2005) International Journal for Numerical Methods in Fluids , vol.47 , Issue.10-11 , pp. 1129-1135
    • Lawless, A.S.1    Gratton, S.2    Nichols, N.K.3
  • 143
    • 40749147172 scopus 로고    scopus 로고
    • Approximate Gauss-Newton methods for optimal state estimation using reduced-order models
    • DOI 10.1002/fld.1629, 9th ICFD Conference on Numerical Methods for Fluid Dynamics
    • A. Lawless, N. Nichols, C. Boess and A. Bunse-Gerstner (2008a), 'Approximate Gauss-Newton methods for optimal state estimation using reduced order models', Internat. J. Numer. Methods Fluids 56, 1367-1373. (Pubitemid 351385479)
    • (2008) International Journal for Numerical Methods in Fluids , vol.56 , Issue.8 , pp. 1367-1373
    • Lawless, A.S.1    Nichols, N.K.2    Boess, C.3    Bunse-Gerstner, A.4
  • 144
    • 45749113079 scopus 로고    scopus 로고
    • Using model reduction methods within incremental four-dimensional variational data assimilation
    • DOI 10.1175/2007MWR2103.1
    • A. Lawless, N. Nichols, C. Boess and A. Bunse-Gerstner (2008b), 'Using model reduction methods within incremental four-dimensional variational data assimilation', Monthly Weather Review 136, 1511-1522. (Pubitemid 351864622)
    • (2008) Monthly Weather Review , vol.136 , Issue.4 , pp. 1511-1522
    • Lawless, A.S.1    Nichols, N.K.2    Boess, C.3    Bunse-Gerstner, A.4
  • 145
    • 0006684185 scopus 로고
    • Linear inverse problems for generalized random variables
    • M. Lehtinen, L. Paivarinta and E. Somersalo (1989), 'Linear inverse problems for generalized random variables', Inverse Problems 5, 599-612.
    • (1989) Inverse Problems , vol.5 , pp. 599-612
    • Lehtinen, M.1    Paivarinta, L.2    Somersalo, E.3
  • 148
    • 0003998877 scopus 로고
    • fourth edn, of Graduate Texts in Mathematics, Springer, New York
    • M. Loève (1977), Probability Theory I, fourth edn, Vol. 45 of Graduate Texts in Mathematics, Springer, New York.
    • (1977) Probability Theory I , vol.45
    • Loève, M.1
  • 149
    • 0003998877 scopus 로고
    • fourth edn, of Graduate Texts in Mathematics, Springer, New York
    • M. Loève (1978), Probability Theory II, fourth edn, Vol. 46 of Graduate Texts in Mathematics, Springer, New York.
    • (1978) Probability Theory II , vol.46
    • Loève, M.1
  • 150
    • 84975888044 scopus 로고
    • Analysis methods for numerical weather prediction
    • A. Lorenc (1986), 'Analysis methods for numerical weather prediction', Quart. J. Royal Met. Soc. 112, 1177-1194.
    • (1986) Quart. J. Royal Met. Soc. , vol.112 , pp. 1177-1194
    • Lorenc, A.1
  • 152
    • 42549157976 scopus 로고    scopus 로고
    • An efficient two-stage sampling method for uncertainty quantification in history matching geological models
    • X. Ma, M. Al-Harbi, A. Datta-Gupta and Y. Efendiev (2008), 'Multistage sampling approach to quantifying uncertainty during history matching geological models', Soc. Petr. Engrg J. 13, 77-87. (Pubitemid 351583169)
    • (2008) SPE Journal , vol.13 , Issue.1 , pp. 77-87
    • Ma, X.1    AlHarbi, M.2    Dalta-Gupta, A.3    Efendiev, Y.4
  • 153
    • 56349129188 scopus 로고    scopus 로고
    • A nonlinear test model for filtering slow-fast systems
    • A. Majda and B. Gershgorin (2008), 'A nonlinear test model for filtering slow-fast systems', Comm. Math. Sci. 6, 611-649.
    • (2008) Comm. Math. Sci. , vol.6 , pp. 611-649
    • Majda, A.1    Gershgorin, B.2
  • 155
    • 77953316289 scopus 로고    scopus 로고
    • Catastrophic filter divergence in filtering nonlinear dissipative systems
    • A. Majda and J. Harlim (2010), 'Catastrophic filter divergence in filtering nonlinear dissipative systems', Comm. Math. Sci. 8, 27-43.
    • (2010) Comm. Math. Sci. , vol.8 , pp. 27-43
    • Majda, A.1    Harlim, J.2
  • 156
    • 77953299631 scopus 로고    scopus 로고
    • Mathematical strategies for filtering turbulent dynamical systems
    • To appear
    • A. Majda, J. Harlim and B. Gershgorin (2010), 'Mathematical strategies for filtering turbulent dynamical systems', Disc. Cont. Dyn. Sys. To appear.
    • (2010) Disc. Cont. Dyn. Sys
    • Majda, A.1    Harlim, J.2    Gershgorin, B.3
  • 157
    • 31844432676 scopus 로고
    • Linear estimators and measurable linear transformations on a Hilbert space
    • A. Mandelbaum (1984), 'Linear estimators and measurable linear transformations on a Hilbert space', Probab. Theory Rel. Fields 65, 385-397.
    • (1984) Probab. Theory Rel. Fields , vol.65 , pp. 385-397
    • Mandelbaum, A.1
  • 158
    • 0037201182 scopus 로고    scopus 로고
    • Estimation of systematic error in an equatorial ocean model using data assimilation
    • M. Martin, M. Bell and N. Nichols (2002), 'Estimation of systematic error in an equatorial ocean model using data assimilation', Internat. J. Numer. Methods Fluids 40, 435-444.
    • (2002) Internat. J. Numer. Methods Fluids , vol.40 , pp. 435-444
    • Martin, M.1    Bell, M.2    Nichols, N.3
  • 159
    • 25844479716 scopus 로고    scopus 로고
    • Statistical inversion of South Atlantic circulation in an abyssal neutral density layer
    • DOI 10.1357/0022240054663240
    • I. McKeague, G. Nicholls, K. Speer and R. Herbei (2005), 'Statistical inversion of south Atlantic circulation in an abyssal neutral density layer', J. Marine Res. 63, 683-704. (Pubitemid 41388374)
    • (2005) Journal of Marine Research , vol.63 , Issue.4 , pp. 683-704
    • McKeague, I.W.1    Nicholls, G.2    Speer, K.3    Herbei, R.4
  • 160
    • 0029667847 scopus 로고    scopus 로고
    • A reassessment of the groundwater inverse problem
    • D. McLaughlin and L. Townley (1996), 'A reassessment of the groundwater inverse problem', Water Resources Res. 32, 1131-1161.
    • (1996) Water Resources Res. , vol.32 , pp. 1131-1161
    • McLaughlin, D.1    Townley, L.2
  • 161
    • 5744249209 scopus 로고
    • Equations of state calculations by fast computing machines
    • N. Metropolis, R. Rosenbluth, M. Teller and E. Teller (1953), 'Equations of state calculations by fast computing machines', J. Chem. Phys. 21, 1087-1092.
    • (1953) J. Chem. Phys. , vol.21 , pp. 1087-1092
    • Metropolis, N.1    Rosenbluth, R.2    Teller, M.3    Teller, E.4
  • 163
    • 17944389926 scopus 로고    scopus 로고
    • A method for enforcing parameter nonnegativity in Bayesian inverse problems with an application to contaminant source identification
    • A. Michalak and P. Kitanidis (2003), 'A method for enforcing parameter nonnegativity in Bayesian inverse problems with an application to contaminant source identification', Water Resources Res. 39, 1033.
    • (2003) Water Resources Res. , vol.39 , pp. 1033
    • Michalak, A.1    Kitanidis, P.2
  • 165
    • 77950634021 scopus 로고    scopus 로고
    • Comparison of stochastic sampling algorithms for uncertainty quantification
    • To appear
    • L. Mohamed, M. Christie and V. Demyanov (2010), 'Comparison of stochastic sampling algorithms for uncertainty quantification', Soc. Petr. Engrg J. To appear. http://dx.doi.org/10.2118/119139-PA
    • (2010) Soc. Petr. Engrg J
    • Mohamed, L.1    Christie, M.2    Demyanov, V.3
  • 166
    • 0029481451 scopus 로고
    • Monte Carlo sampling of solutions to inverse problems
    • K. Mosegaard and A. Tarantola (1995), 'Monte Carlo sampling of solutions to inverse problems', J. Geophys. Research 100, 431-447.
    • (1995) J. Geophys. Research , vol.100 , pp. 431-447
    • Mosegaard, K.1    Tarantola, A.2
  • 167
    • 70350330305 scopus 로고    scopus 로고
    • On enhanced convergence rates for Tikhonov regularization of nonlinear ill-posed problems in Banach spaces
    • A. Neubauer (2009), 'On enhanced convergence rates for Tikhonov regularization of nonlinear ill-posed problems in Banach spaces', Inverse Problems 25, #065009.
    • (2009) Inverse Problems , vol.25 , pp. 065009
    • Neubauer, A.1
  • 168
  • 169
    • 16244370169 scopus 로고    scopus 로고
    • Data assimilation: Aims and basic concepts
    • R. Swinbank, V. Shutyaev and W. A. Lahoz, eds, Kluwer Academic
    • N. Nichols (2003a), Data assimilation: Aims and basic concepts. In Data Assimilation for the Earth System (R. Swinbank, V. Shutyaev and W. A. Lahoz, eds), Kluwer Academic, pp. 9-20.
    • (2003) Data Assimilation for the Earth System , pp. 9-20
    • Nichols, N.1
  • 170
    • 33744730611 scopus 로고    scopus 로고
    • Treating model error in 3-D and 4-D data assimilation
    • R. Swinbank, V. Shutyaev and W. A. Lahoz, eds, Kluwer Academic
    • N. Nichols (2003b), Treating model error in 3-D and 4-D data assimilation. In Data Assimilation for the Earth System (R. Swinbank, V. Shutyaev and W. A. Lahoz, eds), Kluwer Academic, pp. 127-135.
    • (2003) Data Assimilation for the Earth System , pp. 127-135
    • Nichols, N.1
  • 172
    • 31844456785 scopus 로고    scopus 로고
    • Variational assimilation of Lagrangian data in oceanography
    • DOI 10.1088/0266-5611/22/1/014
    • M. Nodet (2006), 'Variational assimilation of Lagrangian data in oceanography', Inverse Problems 22, 245-263. (Pubitemid 43185100)
    • (2006) Inverse Problems , vol.22 , Issue.1 , pp. 245-263
    • Nodet, M.1
  • 175
    • 68149162743 scopus 로고    scopus 로고
    • Error models for reducing history match bias
    • A. O'Sullivan and M. Christie (2006a), 'Error models for reducing history match bias', Comput. Geosci. 10, 405-405.
    • (2006) Comput. Geosci. , vol.10 , pp. 405-405
    • O'Sullivan, A.1    Christie, M.2
  • 179
    • 31844445344 scopus 로고    scopus 로고
    • State estimation approach to nonstationary inverse problems: Discretization error and filtering problem
    • DOI 10.1088/0266-5611/22/1/020
    • H. Pikkarainen (2006), 'State estimation approach to nonstationary inverse problems: Discretization error and filtering problem', Inverse Problems 22, 365-379. (Pubitemid 43185106)
    • (2006) Inverse Problems , vol.22 , Issue.1 , pp. 365-379
    • Pikkarainen, H.K.1
  • 180
    • 57049140510 scopus 로고    scopus 로고
    • The assimilation of satellite derived sea surface temperatures into a diurnal cycle model
    • S. Pimentel, K. Haines and N. Nichols (2008a), 'The assimilation of satellite derived sea surface temperatures into a diurnal cycle model', J. Geophys. Research: Oceans 113, #C09013.
    • (2008) J. Geophys. Research: Oceans , vol.113
    • Pimentel, S.1    Haines, K.2    Nichols, N.3
  • 181
    • 58949090652 scopus 로고    scopus 로고
    • Modelling the diurnal variability of sea surface temperatures
    • S. Pimentel, K. Haines and N. Nichols (2008b), 'Modelling the diurnal variability of sea surface temperatures', J. Geophys. Research: Oceans 113, #C11004.
    • (2008) J. Geophys. Research: Oceans , vol.113
    • Pimentel, S.1    Haines, K.2    Nichols, N.3
  • 183
    • 13844309279 scopus 로고    scopus 로고
    • Invariant measures of SPDEs and conditioned diffusions
    • M. Reznikoff and E. Vanden Eijnden (2005), 'Invariant measures of SPDEs and conditioned diffusions', CR Acad. Sci. Paris 340, 305-308.
    • (2005) CR Acad. Sci. Paris , vol.340 , pp. 305-308
    • Reznikoff, M.1    Eijnden, E.V.2
  • 186
    • 0013037129 scopus 로고    scopus 로고
    • Optimal scaling for various Metropolis-Hastings algorithms
    • DOI 10.1214/ss/1015346320
    • G. Roberts and J. Rosenthal (2001), 'Optimal scaling for various Metropolis-Hastings algorithms', Statistical Science 16, 351-367. (Pubitemid 33636356)
    • (2001) Statistical Science , vol.16 , Issue.4 , pp. 351-367
    • Roberts, G.O.1    Rosenthal, J.S.2
  • 187
    • 85132364916 scopus 로고    scopus 로고
    • Exponential convergence of Langevin distributions and their discrete approximations
    • G. Roberts and R. Tweedie (1996), 'Exponential convergence of Langevin distributions and their discrete approximations', Bernoulli 2, 341-363.
    • (1996) Bernoulli , vol.2 , pp. 341-363
    • Roberts, G.1    Tweedie, R.2
  • 188
    • 0031285157 scopus 로고    scopus 로고
    • Weak convergence and optimal scaling of random walk Metropolis algorithms
    • G. Roberts, A. Gelman and W. Gilks (1997), 'Weak convergence and optimal scaling of random walk Metropolis algorithms', Ann. Appl. Probab. 7, 110-120.
    • (1997) Ann. Appl. Probab. , vol.7 , pp. 110-120
    • Roberts, G.1    Gelman, A.2    Gilks, W.3
  • 189
    • 44049111982 scopus 로고
    • Nonlinear total variation based noise removal algorithms
    • L. Rudin, S. Osher and E. Fatemi (1992), 'Nonlinear total variation based noise removal algorithms', Physica D 60, 259-268.
    • (1992) Physica D , vol.60 , pp. 259-268
    • Rudin, L.1    Osher, S.2    Fatemi, E.3
  • 191
    • 39049116888 scopus 로고    scopus 로고
    • Using flow geometry for drifter deployment in Lagrangian data assimilation
    • H. Salman, K. Ide and C. Jones (2008), 'Using flow geometry for drifter deployment in Lagrangian data assimilation', Tellus 60, 321-335.
    • (2008) Tellus , vol.60 , pp. 321-335
    • Salman, H.1    Ide, K.2    Jones, C.3
  • 192
    • 33646460771 scopus 로고    scopus 로고
    • A method for assimilating Lagrangian data into a shallow-water equation ocean model
    • H. Salman, L. Kuznetsov, C. Jones and K. Ide (2006), 'A method for assimilating Lagrangian data into a shallow-water equation ocean model', Monthly Weather Review 134, 1081-1101.
    • (2006) Monthly Weather Review , vol.134 , pp. 1081-1101
    • Salman, H.1    Kuznetsov, L.2    Jones, C.3    Ide, K.4
  • 193
    • 84966245881 scopus 로고
    • A general equivalence theorem in the theory of discretization methods
    • J. M. Sanz-Serna and C. Palencia (1985), 'A general equivalence theorem in the theory of discretization methods', Math. Comp. 45, 143-152.
    • (1985) Math. Comp. , vol.45 , pp. 143-152
    • Sanz-Serna, J.M.1    Palencia, C.2
  • 195
    • 33746346426 scopus 로고    scopus 로고
    • Karhunen-Loëve approximation of random fields by generalized fast multipole methods
    • DOI 10.1016/j.jcp.2006.01.048, PII S0021999106000349
    • C. Schwab and R. Todor (2006), 'Karhunen-Loeve approximation of random fields in domains by generalized fast multipole methods', J. Comput. Phys. 217, 100-122. (Pubitemid 44111671)
    • (2006) Journal of Computational Physics , vol.217 , Issue.1 , pp. 100-122
    • Schwab, C.1    Todor, R.A.2
  • 196
    • 79957498280 scopus 로고    scopus 로고
    • Variational Markov chain Monte Carlo for inference in partially observed nonlinear diffusions
    • D. Barber, A. T. Cemgil and S. Chiappa, eds, Isaac Newton Institute for Mathematical Sciences, Cambridge
    • Y. Shen, C. Archambeau, D. Cornford and M. Opper (2008a), Variational Markov chain Monte Carlo for inference in partially observed nonlinear diffusions. In Proceedings of the Workshop on Inference and Estimation in Probabilistic Time-Series Models (D. Barber, A. T. Cemgil and S. Chiappa, eds), Isaac Newton Institute for Mathematical Sciences, Cambridge, pp. 67-78.
    • (2008) Proceedings of the Workshop on Inference and Estimation in Probabilistic Time-series Models , pp. 67-78
    • Shen, Y.1    Archambeau, C.2    Cornford, D.3    Opper, M.4
  • 197
    • 48149106949 scopus 로고    scopus 로고
    • A comparison of variational and Markov chain Monte Carlo methods for inference in partially observed stochastic dynamic systems
    • In press published online
    • Y. Shen, C. Archambeau, D. Cornford, M. Opper, J. Shawe-Taylor and R. Barillec (2008b), 'A comparison of variational and Markov chain Monte Carlo methods for inference in partially observed stochastic dynamic systems', J. Signal Processing Systems. In press (published online).
    • (2008) J. Signal Processing Systems
    • Shen, Y.1    Archambeau, C.2    Cornford, D.3    Opper, M.4    Shawe-Taylor, J.5    Barillec, R.6
  • 198
    • 79957528168 scopus 로고    scopus 로고
    • Variational Markov chain Monte Carlo for Bayesian inference in partially observed non-linear diffusions
    • Submitted
    • Y. Shen, D. Cornford, C. Archambeau and M. Opper (2010), 'Variational Markov chain Monte Carlo for Bayesian inference in partially observed non-linear diffusions', Comput. Statist. Submitted.
    • (2010) Comput. Statist.
    • Shen, Y.1    Cornford, D.2    Archambeau, C.3    Opper, M.4
  • 199
    • 0003053548 scopus 로고
    • Bayesian computation via the Gibbs sampler and related Markov chain Monte Carlo methods
    • A. Smith and G. Roberts (1993), 'Bayesian computation via the Gibbs sampler and related Markov chain Monte Carlo methods', J. Royal Statist. Soc. B 55, 3-23.
    • (1993) J. Royal Statist. Soc. B , vol.55 , pp. 3-23
    • Smith, A.1    Roberts, G.2
  • 201
    • 0024667228 scopus 로고
    • Stochastic finite element expansion for random media
    • P. Spanos and R. Ghanem (1989), 'Stochastic finite element expansion for random media', J. Engrg Mech. 115, 1035-1053.
    • (1989) J. Engrg Mech. , vol.115 , pp. 1035-1053
    • Spanos, P.1    Ghanem, R.2
  • 203
    • 44649179254 scopus 로고    scopus 로고
    • Modified particle filter methods for assimilating Lagrangian data into a point-vortex model
    • E. Spiller, A. Budhiraja, K. Ide and C. Jones (2008), 'Modified particle filter methods for assimilating Lagrangian data into a point-vortex model', Physica D 237, 1498-1506.
    • (2008) Physica D , vol.237 , pp. 1498-1506
    • Spiller, E.1    Budhiraja, A.2    Ide, K.3    Jones, C.4
  • 205
    • 85128865950 scopus 로고    scopus 로고
    • Conditional path sampling of SDEs and the Langevin MCMC method
    • A. Stuart, J. Voss and P. Wiberg (2004), 'Conditional path sampling of SDEs and the Langevin MCMC method', Comm. Math. Sci 2, 685-697.
    • (2004) Comm. Math. Sci. , vol.2 , pp. 685-697
    • Stuart, A.1    Voss, J.2    Wiberg, P.3
  • 206
    • 0023128058 scopus 로고
    • Variational assimilation of meteorological observations with the adjoint vorticity equation I: Theory
    • P. Talagrand and O. Courtier (1987), 'Variational assimilation of meteorological observations with the adjoint vorticity equation I: Theory', Quart. J. Royal Met. Soc. 113, 1311-1328.
    • (1987) Quart. J. Royal Met. Soc. , vol.113 , pp. 1311-1328
    • Talagrand, P.1    Courtier, O.2
  • 208
    • 0032382065 scopus 로고    scopus 로고
    • A note on Metropolis-hastings kernels for general state spaces
    • L. Tierney (1998), 'A note on Metropolis-Hastings kernels for general state spaces', Ann. Appl. Probab. 8, 1-9.
    • (1998) Ann. Appl. Probab. , vol.8 , pp. 1-9
    • Tierney, L.1
  • 209
    • 34047123580 scopus 로고    scopus 로고
    • Convergence rates for sparse chaos approximations of elliptic problems with stochastic coefficients
    • R. Todor and C. Schwab (2007), 'Convergence rates for sparse chaos approximations of elliptic problems with stochastic coefficients', IMA J. Numer. Anal. 27, 232-261.
    • (2007) IMA J. Numer. Anal. , vol.27 , pp. 232-261
    • Todor, R.1    Schwab, C.2
  • 211
    • 0035302727 scopus 로고    scopus 로고
    • An ensemble smoother with error estimates
    • P. Van Leeuwen (2001), 'An ensemble smoother with error estimates', Monthly Weather Review 129, 709-728.
    • (2001) Monthly Weather Review , vol.129 , pp. 709-728
    • Van Leeuwen, P.1
  • 212
    • 0142010030 scopus 로고    scopus 로고
    • A variance minimizing filter for large-scale applications
    • P. Van Leeuwen (2003), 'A variance minimizing filter for large-scale applications', Monthly Weather Review 131, 2071-2084.
    • (2003) Monthly Weather Review , vol.131 , pp. 2071-2084
    • Van Leeuwen, P.1
  • 213
    • 74949130817 scopus 로고    scopus 로고
    • Particle filtering in geophysical systems
    • P. Van Leeuwen (2009), 'Particle filtering in geophysical systems', Monthly Weather Review 137, 4089-4114.
    • (2009) Monthly Weather Review , vol.137 , pp. 4089-4114
    • Van Leeuwen, P.1
  • 214
    • 79957527973 scopus 로고    scopus 로고
    • Lagrangian data assimilation, an application to the Gulf of Mexico
    • G. Vernieres, K. Ide and C. Jones (2010), 'Lagrangian data assimilation, an application to the Gulf of Mexico', Physica D. Submitted.
    • (2010) Physica D. Submitted
    • Vernieres, G.1    Ide, K.2    Jones, C.3
  • 216
    • 34047242150 scopus 로고    scopus 로고
    • Parameter estimation using a particle method: Inferring mixing coefficients from sea level observations
    • DOI 10.1175/MWR3328.1
    • F. Vossepoel and P. Van Leeuwen (2007), 'Parameter estimation using a particle method: Inferring mixing coefficients from sea-level observations', Monthly Weather Review 135, 1006-1020. (Pubitemid 46542148)
    • (2007) Monthly Weather Review , vol.135 , Issue.3 , pp. 1006-1020
    • Vossepoel, F.C.1    Van Leeuwen, P.J.2
  • 220
    • 0242717120 scopus 로고
    • A study of uniqueness for the initialization problem for Burgers' equation
    • L. White (1993), 'A study of uniqueness for the initialization problem for Burgers' equation', J. Math. Anal. Appl. 172, 412-431.
    • (1993) J. Math. Anal. Appl. , vol.172 , pp. 412-431
    • White, L.1
  • 222
    • 79957513866 scopus 로고    scopus 로고
    • Application of variational data assimilation to the Lorenz equations using the adjoint method
    • ICFD, Oxford
    • M. Wlasak and N. Nichols (1998), Application of variational data assimilation to the Lorenz equations using the adjoint method. In Numerical Methods for Fluid Dynamics VI, ICFD, Oxford, pp. 555-562.
    • (1998) Numerical Methods for Fluid Dynamics VI , pp. 555-562
    • Wlasak, M.1    Nichols, N.2
  • 223
    • 39049142343 scopus 로고    scopus 로고
    • Use of potential vorticity for incremental data assimilation
    • M. Wlasak, N. Nichols and I. Roulstone (2006), 'Use of potential vorticity for incremental data assimilation', Quart. J. Royal Met. Soc. 132, 2867-2886.
    • (2006) Quart. J. Royal Met. Soc. , vol.132 , pp. 2867-2886
    • Wlasak, M.1    Nichols, N.2    Roulstone, I.3
  • 224
    • 0000391888 scopus 로고
    • Variational estimation of the wind stress drag coefficient and the oceanic eddy viscosity profile
    • L. Yu and J. O'Brien (1991), 'Variational estimation of the wind stress drag coefficient and the oceanic eddy viscosity profile', J. Phys. Ocean. 21, 1361-1364.
    • (1991) J. Phys. Ocean , vol.21 , pp. 1361-1364
    • Yu, L.1    O'Brien, J.2
  • 225
    • 0038959326 scopus 로고
    • A maximum a posteriori estimator for trajectories of diffusion processes
    • O. Zeitouni and A. Dembo (1987), 'A maximum a posteriori estimator for trajectories of diffusion processes', Stochastics 20, 221-246.
    • (1987) Stochastics , vol.20 , pp. 221-246
    • Zeitouni, O.1    Dembo, A.2
  • 227
    • 21244472382 scopus 로고    scopus 로고
    • Propagation, observation, and control of waves approximated by finite difference methods
    • DOI 10.1137/S0036144503432862
    • E. Zuazua (2005), 'Propagation, observation, control and numerical approximation of waves approximated by finite difference method', SIAM Review 47, 197-243. (Pubitemid 40889963)
    • (2005) SIAM Review , vol.47 , Issue.2 , pp. 197-243
    • Zuazua, E.1
  • 228
    • 0000755764 scopus 로고    scopus 로고
    • A general weak constraint applicable to operational 4DVAR data assimilation systems
    • D. Zupanski (1997), 'A general weak constraint applicable to operational 4DVAR data assimilation systems', Monthly Weather Review 125, 2274-2292. (Pubitemid 127579492)
    • (1997) Monthly Weather Review , vol.125 , Issue.9 , pp. 2274-2292
    • Zupanski, D.1
  • 229
    • 48649088191 scopus 로고    scopus 로고
    • The maximum likelihood ensemble filter as a non-differentiable minimization algorithm
    • M. Zupanski, I. Navon and D. Zupanski (2008), 'The maximum likelihood ensemble filter as a non-differentiable minimization algorithm', Quart. J. Royal Met. Soc. 134, 1039-1050.
    • (2008) Quart. J. Royal Met. Soc. , vol.134 , pp. 1039-1050
    • Zupanski, M.1    Navon, I.2    Zupanski, D.3


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