Bayesian Detectability of Induced Polarisation in Airborne Electromagnetic Data using Reversible Jump Sequential Monte Carlo

09/02/2021
by   Laurence Davies, et al.
0

Detection of induced polarisation (IP) effects in airborne electromagnetic (AEM) measurements does not yet have an established methodology. This contribution develops a Bayesian approach to the IP-detectability problem using decoupled transdimensional layered models, and applies an approach novel to geophysics whereby transdimensional proposals are used within the embarrassingly parallelisable and robust static Sequential Monte Carlo (SMC) class of algorithms for the simultaneous inference of parameters and models. Henceforth referring to this algorithm as Reversible Jump Sequential Monte Carlo (RJSMC), the statistical methodological contributions to the algorithm account for adaptivity considerations for multiple models and proposal types, especially surrounding particle impoverishment in unlikely models. Methodological contributions to solid Earth geophysics include the decoupled model approach and proposal of a statistic that use posterior model odds for IP detectability. A case study is included investigating detectability of IP effects in AEM data at a broad scale.

READ FULL TEXT

page 17

page 18

research
12/29/2016

High-dimensional Filtering using Nested Sequential Monte Carlo

Sequential Monte Carlo (SMC) methods comprise one of the most successful...
research
12/14/2015

Data-driven Sequential Monte Carlo in Probabilistic Programming

Most of Markov Chain Monte Carlo (MCMC) and sequential Monte Carlo (SMC)...
research
08/28/2017

Controlled Sequential Monte Carlo

Sequential Monte Carlo (SMC) methods are a set of simulation-based techn...
research
05/08/2018

Subsampling Sequential Monte Carlo for Static Bayesian Models

Our article shows how to carry out Bayesian inference by combining data ...
research
08/18/2018

Optimal proposals for Approximate Bayesian Computation

We derive the optimal proposal density for Approximate Bayesian Computat...
research
04/11/2018

Motor Unit Number Estimation via Sequential Monte Carlo

A change in the number of motor units that operate a particular muscle i...
research
10/10/2019

Distributed Bayesian Computation for Model Choice

We propose a general method for distributed Bayesian model choice, where...

Please sign up or login with your details

Forgot password? Click here to reset