Fetching the paper…
Reading the bibliography…
In most relevant cases in the Bayesian analysis of ODE inverse problems, a numerical solver needs to be used.
Numerical methods for ordinary differential systems: the initial value problem
Lambert, J. D. (1991) · 1991
Earlier work this paper cites.
Bayesian model choice: asymptotics and exact calculations
Gelfand, A. E. and D. K. Dey (1994) · 1994
Earlier work this paper cites.
Local regularization method applied to estimating oxygen consumption during muscle activities
Calvetti, D., R. K. Dash, E. Somersalo, and M. E. Cabrera (2006) · 1996
Earlier work this paper cites.
Bayesian calibration of a large-scale geothermal reservoir model by a new adaptive delayed acceptance metropolis hastings algorithm
Cui, T., C. Fox, and M. J. O’Sullivan (2011) · 1996
Earlier work this paper cites.
Bayesian inference for network-based models with a linear inverse structure
Hazelton, M. L. (2010) · 1996
Earlier work this paper cites.
A first course in the numerical analysis of differential equations
Iserles, A. (1996) · 1996
Earlier work this paper cites.
The bayesian framework for inverse problems in heat transfer
Kaipio, J. P. and C. Fox (2011) · 1996
Earlier work this paper cites.
Information-driven receptor placement for contaminant source determination
Keats, A., E. Yee, and F. . Lien (2010) · 1996
Earlier work this paper cites.
Bayesian inversion method for 3d dental x-ray imaging
Kolehmainen, V., A. Vanne, S. Siltanen, S. Järvenpää, J. P. Kaipio, M. Lassas, and M. Kalke (2007) · 1996
Earlier work this paper cites.
Compensation of modelling errors due to unknown domain boundary in electrical impedance tomography
Nissinen, A., V. P. Kolehmainen, and J. P. Kaipio (2011) · 1996
Earlier work this paper cites.
Non-stationary magnetoencephalography by bayesian filtering of dipole models
Somersalo, E., A. Voutilainen, and J. P. Kaipio (2003) · 1996
Earlier work this paper cites.
Bayesian mlp neural networks for image analysis
Vehtari, A. and J. Lampinen (2000) · 1996
Earlier work this paper cites.
A review of statistical modelling and inference for electrical capacitance tomography
Watzenig, D. and C. Fox (2009) · 1996
Earlier work this paper cites.
Minimum relative entropy, bayes and kapur
Woodbury, A. D. (2011) · 1996
Cited alongside, same era.
On monte carlo methods for estimating ratios of normalizing constants
Chen, M. and Q. Shao (1997) · 1997
Cited alongside, same era.
An adaptive metropolis algorithm
Haario, H., E. Saksman, and J. Tamminen (1998) · 1998
Cited alongside, same era.
Efficient, exact pde solutions for mcmc
Fox, C., M. Palm, and G. Nicholls (1999) · 1999
Cited alongside, same era.
Bayesian model averaging: A tutorial
Hoeting, J. A., D. Madigan, A. E. Raftery, and C. T. Volinsky (1999) · 1999
Cited alongside, same era.
Markov chain Monte Carlo methods for computing Bayes factors: A comparative review
Han, C. and B. P. Carlin (2001) · 2001
Cited alongside, same era.
Universally sloppy parameter sensitivities in systems biology models
Gutenkunst, R. N., J. J. Waterfall, F. P. Casey, K. S. Brown, C. R. Myers, and J. P. Sethna (2007) · 2007
Later among the works it cites.
On global error estimation and control for initial value problems
Lang, J. and J. G. Verwer (2007) · 2007
Later among the works it cites.
Numerical mathematics
Quarteroni, A., R. Sacco, and F. Saleri (2007) · 2007
Later among the works it cites.
A general purpose sampling algorithm for continuous distributions (the t-walk)
Christen, J. and C. Fox (2010) · 2010
Later among the works it cites.
Approximation of bayesian inverse problems
Cotter, S., M. Dashti, and A. Stuart (2010) · 2010
Later among the works it cites.
Bayesian data fusion and inversion in x-ray multi-energy computed tomography
Cai, C., A. Mohammad-Djafari, S. Legoupil, and T. Rodet (2011) · 2011
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
A posteriori error estimation and global error control for ordinary differential equations by the adjoint method
Cao, Y. and L. Petzold (2004) · 2004
Cited alongside, same era.
Monte Carlo Statistical Methods
Robert, C. and G. Casella (2004) · 2004
Cited alongside, same era.
On adaptive markov chain monte carlo algorithm
Atchadé, Y. and J. Rosenthal (2005) · 2005
Cited alongside, same era.
Mcmc using an approximation
Christen, J. and C. Fox (2005) · 2005
Cited alongside, same era.
Statistical and Computational Inverse Problems
Kaipio, J. P. and E. Somersalo (2005) · 2005
Cited alongside, same era.
Bayesian inference for inverse problems in signal and image processing and applications
Mohammad-Djafari, A. (2006) · 2006
Cited alongside, same era.
Later among the works it cites.
A discrete-continuous bayesian model for emission tomography
Fall, M. D., E. Barat, C. Comtat, T. Dautremer, T. Montagu, and A. Mohammad-Djafari (2011) · 2011
Later among the works it cites.
A bayesian approach to multiscale inverse problems using the sequential monte carlo method
Wan, J. and N. Zabaras (2011) · 2011
Later among the works it cites.
Recognition-oriented bayesian sar imaging
Zhu, S., P. You, H. Wang, X. Li, and A. Mohammad-Djafari (2011) · 2011
Later among the works it cites.
Towards uncertainty quantification and inference in the stochastic sir epidemic model
Capistrán, M., J. Christen, and Velasco-Hernández (2012) · 2012
Later among the works it cites.
Image recovery from fourier domain measurements via classification using bayesian approach and total variation regularization
Chama, Z., B. Mansouri, M. Anani, and A. Mohammad-Djafari (2012) · 2012
Later among the works it cites.
Subsurface imaging for anti-personal mine detection by bayesian super-resolution with a smooth-gap prior
Kozawa, S., T. Takenouchi, and K. Ikeda (2012) · 2012
Later among the works it cites.
Sparse deterministic approximation of bayesian inverse problems
Schwab, C. and A. M. Stuart (2012) · 2012
Later among the works it cites.