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Computational Complexity Reduction of Neural Networks of Brain Tumor Image Segmentation by Introducing Fermi-Dirac
Yen-Ling Tai1, Shin-Jhe Huang1,2, Chien-Chang Chen1,2,3
1Bio-Microsystems Integration Laboratory, Department of Biomedical Sciences and Engineering, National Central University, Taoyuan City 32001, Taiwan.
Entropy (Basel, Switzerland)
|March 6, 2021
Summary
This study introduces a novel Fermi-Dirac correction function to reduce deep learning computational costs. This method significantly cuts processing time on standard hardware, aiding AI development.
Area of Science:
- Computational neuroscience
- Medical image analysis
- Artificial intelligence
Background:
- Deep learning models require substantial computational resources, often necessitating high-cost hardware.
- Advancements in deep learning are hindered by the reliance on expensive computational infrastructure.
- Developing efficient preprocessing methods is crucial for democratizing deep learning.
Purpose of the Study:
- To introduce a novel preprocessing method inspired by solid-state physics to reduce neural network computational complexity.
- To develop a Fermi-Dirac correction function for voxel intensity normalization and filtering.
- To validate the method's performance and computational efficiency on medical imaging datasets.
Main Methods:
- Image space is isomorphically mapped to a non-interacting physical system, treating voxels as particle-like clusters.
- A Fermi-Dirac distribution is reconstructed as a correction function for voxel intensity normalization and filtering.
- The method was validated using the BraTS 2019 dataset and a dimensional fusion U-net architecture.
Main Results:
- The Fermi-Dirac correction function demonstrated comparable performance to existing preprocessing methods.
- The proposed algorithm achieved at least a 38% reduction in computational time compared to z-score and Gamma correction on low-cost hardware.
- It offers superior image augmentation and segmentation capabilities compared to global histogram equalization.
Conclusions:
- The Fermi-Dirac correction function effectively reduces computational complexity in deep learning models.
- This approach offers a viable alternative to high-cost hardware, making deep learning more accessible.
- The method shows promise for enhancing image analysis tasks in medical imaging and beyond.

