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A suite of misfit functions to test FWI

Project description

Island of Misfit Toys

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Welcome to the Island of Misfit Toys! See Rudolph the Red-nosed Reindeer if you are confused by the logo.

PyPI and Documentation.

This repository contains implementations of various misfit functions found in seismic literature. Our goal is to create a comprehensive collection of these functions to aid researchers and practitioners of seismic inverse problems.

If you have interest in adding features, please add a pull request or contact me directly at tyler@oden.utexas.edu.

If you have any trouble with our code or find bugs, please let us know by filling out an issue!

Table of Contents

Getting Started

To begin using the misfit functions in this repository, clone it to your local machine:

git clone https://github.com/tmasthay/IslandOfMisfitToys.git
cd IslandOfMisfitToys

Misfit Functions (roadmap for future)

(1) One-dimensional $W_1$ and $W_2$ (trace-by-trace)

(2) Huber

(3) $L^1$-$L^2$ hybrid

(4) Normalized and unnormalized Sobolev norms

(5) Fisher-Rao metric

(6) Graph-space OT

(7) Entropic regularization OT

(8) Misfits based on reduced-order models

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