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Roto-translation equivariant convolutional networks: Application to histopathology image analysis.
Maxime W Lafarge1, Erik J Bekkers2, Josien P W Pluim1
1Department of Biomedical Engineering, Eindhoven University of Technology, Eindhoven, the Netherlands.
Medical Image Analysis
|November 16, 2020
Summary
This study introduces a novel framework using SE(2)-group convolutions for machine learning in medical imaging. The method enhances rotation equivariance in convolutional neural networks (CNNs), improving performance in computational pathology tasks.
Area of Science:
- Medical Image Analysis
- Computational Pathology
- Machine Learning
Background:
- Rotation-invariance is crucial for machine learning models in medical image analysis, especially in computational pathology.
- Conventional methods like data augmentation offer limited robustness for rotation invariance in trained models.
- Histopathology image analysis requires models that do not capture arbitrary global orientation of tissue samples.
Purpose of the Study:
- To propose a novel framework for achieving translation and rotation equivariance in convolutional networks.
- To encode the geometric structure of the special Euclidean motion group SE(2) into convolutional layers.
- To enhance the performance of machine learning models in histopathology image analysis tasks.
Main Methods:
- Introduction of SE(2)-group convolution layers into convolutional networks.
- Development of a framework that learns feature representations with a discretized orientation dimension.
- Evaluation of the framework on mitosis detection, nuclei segmentation, and tumor detection tasks.
Main Results:
- The proposed SE(2)-group convolution framework yields translation and rotation equivariance.
- Models trained with the framework demonstrate improved performance across multiple histopathology image analysis tasks.
- Consistent performance increases were observed compared to conventional approaches.
Conclusions:
- The SE(2)-group convolution framework offers a robust solution for achieving rotation equivariance in medical image analysis.
- This approach enhances the reliability and performance of machine learning models in computational pathology.
- The framework provides a significant advancement over traditional data augmentation techniques for rotation invariance.

