# Cross-correlated Contrast Source Inversion

arXiv: https://arxiv.org/abs/1906.10864 · HTML: https://mlsanity.com/paper/1906.10864/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 26 Jun 2019.

## Built on by (most cited first, 2 of 2)

- [Learned Regularization for Microwave Tomography](https://mlsanity.com/paper/2508.08114/) (2025)
- [A Contrast-Source Inversion Scheme Based on Stochastic Optimization and Plug-and-Play Regularization](https://mlsanity.com/paper/2610.05130/) (2026)

## Abstract (arXiv)

In this paper, we improved the performance of the contrast source inversion (CSI) method by incorporating a so-called cross-correlated cost functional, which interrelates the state error and the data error in the measurement domain. The proposed method is referred to as the cross-correlated CSI. It enables better robustness and higher inversion accuracy than both the classical CSI and multiplicative regularized CSI (MR-CSI). In addition, we show how the gradient of the modified cost functional can be calculated without significantly increasing the computational burden. The advantages of the proposed algorithms are demonstrated using a 2-D benchmark problem excited by a transverse magnetic wave as well as a transverse electric wave, respectively, in comparison to classical CSI and MR-CSI.