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Spatially Aware GCNs for efficient, high-accuracy cancer grading: Mitigating oversmoothing via frequency analysis
Luke Johnston1, Zhangsheng Yu2
1Department of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai, China.
Computers in Biology and Medicine
|October 5, 2025
Summary
A novel Spatially Aware Graph Convolutional Network (SA-GCN) improves cancer grading accuracy by preserving spatial details and frequency information. This new method enhances classification for colorectal and lung cancers, overcoming limitations of existing deep learning models.
Area of Science:
- Computational pathology
- Artificial intelligence in oncology
- Graph-based machine learning
Background:
- Cancer grading is crucial for treatment but relies on complex spatial relationships difficult for standard GCNs.
- Deeper GCNs often suffer from oversmoothing, hindering the capture of intricate cellular structures in histopathology.
Purpose of the Study:
- To develop a Spatially Aware Graph Convolutional Network (SA-GCN) for improved classification of colorectal and non-small cell lung cancer grades.
- To address the oversmoothing problem in GCNs for better preservation of high-resolution spatial and frequency information in histopathological data.
Main Methods:
- Introduced SA-GCN with a dilated layer and quantile-based aggregation to balance low- and high-frequency graph data.
- Optimized graph construction to reduce computational complexity from O(N^2) to O(N).
- Conducted experiments on colorectal and non-small cell lung cancer datasets.
Main Results:
- Achieved accuracy improvements of 0.87% and 0.81% for colorectal and non-small cell lung cancer datasets, respectively.
- Demonstrated 98.05% ± 0.99% accuracy with a seven-layer dilated SA-GCN on the colorectal dataset.
- Showcased significant computational efficiency and guaranteed preserved graph signal diversity.
Conclusions:
- SA-GCN effectively classifies cancer grades by preserving spatial and frequency information, outperforming state-of-the-art methods.
- The proposed architecture enables deeper GCNs and scales to large datasets, addressing limitations of existing techniques.
- SA-GCN offers a robust solution for computational pathology, enhancing diagnostic accuracy and efficiency.
