Initial commit
Browse files
README.md
CHANGED
|
@@ -1,3 +1,29 @@
|
|
| 1 |
---
|
| 2 |
license: bsd-3-clause
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 3 |
---
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
---
|
| 2 |
license: bsd-3-clause
|
| 3 |
+
tags:
|
| 4 |
+
- binary-classification
|
| 5 |
+
- graph-fourier-transform
|
| 6 |
+
- likelihood-ratio-test
|
| 7 |
+
- healthcare
|
| 8 |
---
|
| 9 |
+
|
| 10 |
+
|
| 11 |
+
# Graph-structured data classification based on spectral methods and generalized likelihood-ratio testing
|
| 12 |
+
|
| 13 |
+
This page documents the reference implementation used in the following work on binary classification of graph-structured data using the graph Fourier transform and generalized likelihood-ratio test (GLRT).
|
| 14 |
+
|
| 15 |
+
## Blog article
|
| 16 |
+
- **Title:** Graph-structured data classification based on spectral methods and the generalized likelihood ratio test
|
| 17 |
+
- **Author:** Michel Pohl
|
| 18 |
+
- **Year:** 2026
|
| 19 |
+
- **Link:** https://pohl-michel.github.io/blog/articles/fourier-glrt-graph-classification/article.html
|
| 20 |
+
|
| 21 |
+
## Code
|
| 22 |
+
- **GitHub repository:** https://github.com/pohl-michel/fourier-glrt-based-graph-classification
|
| 23 |
+
|
| 24 |
+
## Description
|
| 25 |
+
I implemented a binary classifier for graph-structured data, combining generalized likelihood ratio testing and graph Fourier transforms, based on [prior work from Hu et al. (2016)](https://doi.org/10.1016/j.neuroimage.2015.10.026). I applied this method to Alzheimer's disease detection by modeling brain regions in PET images as nodes in a graph. The edge weights, representing similarity between regional imaging feature values, were computed using a Gaussian RBF kernel. This approach yielded a leave-one-out test F1 score of 0.85 on a dataset of 142 brain scans (61 healthy controls and 81 Alzheimer's disease cases).
|
| 26 |
+
|
| 27 |
+
## Note
|
| 28 |
+
|
| 29 |
+
The blog article is based on work conducted jointly at Centrale Méditerranée and Fresnel Institute in 2016 under the supervision of Mouloud Adel.
|