IslandOfMisfitToys 0.3.6

A suite of misfit functions to test FWI

Island of Misfit Toys

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

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 [e-mail].

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
• Misfit Functions (currently supported)
• Misfit Functions (roadmap for future)

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 (currently supported)

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

• Yang et al. 2018

(2) Huber

• Guitton and Symes 2003

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

• Bube and Langan

(4) Normalized and unnormalized Sobolev norms

• Zhu et al. 2021

Misfit Functions (roadmap for future)

(1) Fisher-Rao metric

• Zhou et al. 2018

(2) Graph-space OT

• Metivier et al. 2018

(3) Entropic regularization OT

• Cuturi 2013

(4) Misfits based on reduced-order models

• Borcea et al. 2023