Andrew Valentine
@apvalentine.bsky.social
Assoc. Prof., Durham University
Inverse theory, ML, seismology, geophysics & computation.
https://valentineap.github.io/
Inverse theory, ML, seismology, geophysics & computation.
https://valentineap.github.io/
In particular, if we have already run McMC for each state individually, Carlin & Chib's approach lets us build a trans-conceptual ensemble by resampling the resulting ensembles.
Go read doi.org/10.1029/2024... to find out more and see some examples of this idea applied to real problems!
(4/4)
Go read doi.org/10.1029/2024... to find out more and see some examples of this idea applied to real problems!
(4/4)
August 27, 2025 at 12:59 PM
In particular, if we have already run McMC for each state individually, Carlin & Chib's approach lets us build a trans-conceptual ensemble by resampling the resulting ensembles.
Go read doi.org/10.1029/2024... to find out more and see some examples of this idea applied to real problems!
(4/4)
Go read doi.org/10.1029/2024... to find out more and see some examples of this idea applied to real problems!
(4/4)
An alternative comes from the work of Carlin & Chib (1999). Instead of working across multiple different parameter spaces, combine them all into a single 'product space'. Of course, this increases the dimension of the search space (= bad), but in practice some simplification may be possible.
(3/4)
(3/4)
August 27, 2025 at 12:59 PM
An alternative comes from the work of Carlin & Chib (1999). Instead of working across multiple different parameter spaces, combine them all into a single 'product space'. Of course, this increases the dimension of the search space (= bad), but in practice some simplification may be possible.
(3/4)
(3/4)
In some cases this problem can be tackled using reversible-jump McMC (Green, 1995) to switch between the different physical theories (or 'conceptual states'). See, e.g., 'trans-dimensional' sampling. However, this requires us to know the Jacobian of the transformation between states...
(2/4)
(2/4)
August 27, 2025 at 12:59 PM
In some cases this problem can be tackled using reversible-jump McMC (Green, 1995) to switch between the different physical theories (or 'conceptual states'). See, e.g., 'trans-dimensional' sampling. However, this requires us to know the Jacobian of the transformation between states...
(2/4)
(2/4)
👋 Can I be added to the science feed, please? This is me: scholar.google.com/citations?us...
Andrew Valentine
Department of Earth Sciences, Durham University - Cited by 894 - Inverse theory - Machine learning - Geophysics - Seismology - Computational science
scholar.google.com
October 10, 2024 at 4:15 PM
👋 Can I be added to the science feed, please? This is me: scholar.google.com/citations?us...