Variational Experimental Design Methods for Geophysical Applications
Dominik Strutz & Andrew Curtis
2
3
prior information
posterior information
-
information gain (data, design) =
What is the value of an experiment?
4
prior information
posterior information
-
information gain (data, design) =
5
prior information
posterior information
-
information gain (data, design) =
6
prior information
posterior information
-
information gain (data, design) =
7
prior information
posterior information
-
excepted information gain (design) =
average over all data plausible according to prior information
8
prior information
posterior information
-
excepted information gain (design) =
average over all data plausible according to prior information
9
prior information
posterior information
-
excepted information gain (design) =
average over all data plausible according to prior information
10
prior information
posterior information
-
excepted information gain (design) =
average over all data plausible according to prior information
11
prior information
posterior information
-
excepted information gain (design) =
average over all data plausible according to prior information
12
prior information
posterior information
-
excepted information gain (design) =
average over all data plausible according to prior information
13
prior information
posterior information
-
excepted information gain (design) =
average over all data plausible according to prior information
14
A quantity to assess the quality of an experimental design
prior information
posterior information
-
average over all data plausible according to prior information
excepted information gain (design) =
Variational Methods
15
Variational Methods
16
data
Mixture Density Network
17
18
What is the best design to constrain the earthquake hypocenter?
19
What is the best design to constrain the earthquake hypocenter?
20
What is the best design to constrain the earthquake hypocenter?
21
What is the best design to constrain the earthquake hypocenter?
22
What is the best design to constrain the earthquake hypocenter?
23
What is the best design to constrain the earthquake hypocenter?
24
What is the best design to constrain the earthquake depth?
25
What is the best design to constrain the earthquake depth?
What is the best design to constrain the earthquake epicenter?
26
What is the best design to constrain the earthquake epicenter?
27
What is the best design to constrain the earthquake epicenter?
28
Effect of the Likelihood Function
29
Lomax et al. (2014)
Effect of the Likelihood Function
30
Lomax et al. (2014)
Effect of the Likelihood Function
31
Effect of the Likelihood Function
32
damage zone
prior distribution of event locations
Effect of the Likelihood Function
33
Effect of the Likelihood Function
34
Effect of the Likelihood Function
35
Summary
Both questions of interest, and the form of data uncertainties, may significantly impact optimal designs
36
Visit my website (dominik-strutz.github.io) for further updates and contact information
37
38
AVO SGD example
39
AVO SGD example
40
AVO SGD example
41