Ronen Huang
April 2025 to May 2025
- Resize 121 x 145 x 121 MRI images to 128 x 128.
- Concatenate 10 images side by side to create
$\bm{Y} \in \mathbb{R}^{128 \times 1280}$ data matrix. - Solve
$\min_{\bm{q}} \frac{1}{m}|\bm{q}^T\bm{Y}|_1$ such that$|\bm{q}|_2 = 1$ with$R = 128 \log (128)$ rounds to create orthogonal dictionary$\bm{A} = {\bm{a}_1, \cdots, \bm{a}_n} \in O(n)$ . - Solve
$\min_{\bm{A}, \bm{X}} \frac{1}{2}|\bm{Y} - \bm{A}\bm{X}|_F^2 + \lambda |\bm{X}|_1$ such that$\bm{A} \in O(n)$ .
The implementation can be see in dictionary_learning.ipynb.
