Bulletin of the American Physical Society
APS March Meeting 2022
Volume 67, Number 3
Monday–Friday, March 14–18, 2022; Chicago
Session G00: Poster Session I (2pm- 5pm CST)
2:00 PM,
Tuesday, March 15, 2022
Room: McCormick Place Exhibit Hall F1
Abstract: G00.00284 : Langev(in)ference Dynamics for Heterogeneous Tissue Imaging in MRE*
Presenter:
Damian R Sowinski
(Dartmouth College)
Authors:
Damian R Sowinski
(Dartmouth College)
Elijah E Van Houten
(Sherbrooke Universite)
Keith D Paulsen
(Dartmouth College)
In vivo tissue material property imaging is difficult - the space of heterogenous models has a huge dimensionality.
Current methods are constrained to techniques involving first order gradient descent of the posterior information content, requiring a multitude of regularizers to converge.
Unfortunately, even the simplest models have highly non-linear likelihoods plagued with degeneracies and multiple minima - as we show in several lower-dimensional toy models.
By expanding belief updating to second order and incorporating the idea of epistemic resources, we show a direct analogy with Langevin dynamics.
Tuning these resources is done dynamically, unlike similar methods such as simulated annealing, in a way that lends itself for paralleization, thereby naturally incorporating the well known technique of zoning into the framework.
The resulting stochastic dynamics of inference have a fascinating interpretation within the context of analytical epistemology, as well as the practical feature of breaking degeneracies and tunneling out of local minima.
*This work was supported by the National Institute for Health Research Grant (No. R01EB027577-02)
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