Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geophysical Inversion and Optimal Transport   We propose a new approach to measuring the agreement between two oscillatory
time series, such as seismic waveforms, and demonstrate that it can be employed
effectively in inverse problems. Our approach is based on Optimal Transport
theory and the Wasserstein distance, with a novel transformation of the time
series to ensure that necessary normalisation and positivity conditions are
met. Our measure is differentiable, and can readily be employed within an
optimization framework. We demonstrate performance with a variety of synthetic
examples, including seismic source inversion, and observe substantially better
convergence properties than achieved with conventional $L_2$ misfits. We also
briefly discuss the relationship between Optimal Transport and Bayesian
inference.

30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg