Optimization for medical image segmentation: Theory and practice when evaluating with Dice Score or Jaccard Index

Autor: Frederik Maes, Jeroen Bertels, Maxim Berman, Raf Bisschops, Matthew B. Blaschko, Tom Eelbode, Dirk Vandermeulen
Rok vydání: 2020
Předmět:
Diagnostic Imaging
FOS: Computer and information sciences
Computer Science - Machine Learning
Jaccard index
Computer science
Entropy
Computer Vision and Pattern Recognition (cs.CV)
Computer Science - Computer Vision and Pattern Recognition
Dice
030218 nuclear medicine & medical imaging
Machine Learning (cs.LG)
03 medical and health sciences
0302 clinical medicine
Similarity (network science)
FOS: Electrical engineering
electronic engineering
information engineering

Electrical and Electronic Engineering
Radiological and Ultrasound Technology
business.industry
Image and Video Processing (eess.IV)
Pattern recognition
Image segmentation
Electrical Engineering and Systems Science - Image and Video Processing
Computer Science Applications
Weighting
Metric (mathematics)
Artificial intelligence
business
Software
Popis: In many medical imaging and classical computer vision tasks, the Dice score and Jaccard index are used to evaluate the segmentation performance. Despite the existence and great empirical success of metric-sensitive losses, i.e. relaxations of these metrics such as soft Dice, soft Jaccard and Lovasz-Softmax, many researchers still use per-pixel losses, such as (weighted) cross-entropy to train CNNs for segmentation. Therefore, the target metric is in many cases not directly optimized. We investigate from a theoretical perspective, the relation within the group of metric-sensitive loss functions and question the existence of an optimal weighting scheme for weighted cross-entropy to optimize the Dice score and Jaccard index at test time. We find that the Dice score and Jaccard index approximate each other relatively and absolutely, but we find no such approximation for a weighted Hamming similarity. For the Tversky loss, the approximation gets monotonically worse when deviating from the trivial weight setting where soft Tversky equals soft Dice. We verify these results empirically in an extensive validation on six medical segmentation tasks and can confirm that metric-sensitive losses are superior to cross-entropy based loss functions in case of evaluation with Dice Score or Jaccard Index. This further holds in a multi-class setting, and across different object sizes and foreground/background ratios. These results encourage a wider adoption of metric-sensitive loss functions for medical segmentation tasks where the performance measure of interest is the Dice score or Jaccard index.
15 pages, 14 figures, accepted for publication in IEEE Transactions on Medical Imaging (2020)
Databáze: OpenAIRE