An Application of the Holonomic Gradient Method to the Neural Tangent Kernel (for extended abstract)

• Extended abstract (of 4 pages).
• Full paper in arxiv.
• Computer algebra system Risa/Asir .

1. Codes of the full paper (computer algebra codes are here).
2. Codes (tar.gz) of "Experiments 2" of the extended abstract (mnist letters of 0 and 1).
   It runs on the docker image (GPU is requred)

   nvcr.io/nvidia/pytorch      24.10-py3 
   

   
   

   tar xzvf as-dist.tar.gz
   cd as-dist
   python experiment_mnist_hgm.py
      (hgm)
   python experiment_mnist_other.py  
      (closed formula, gauss-hermite quadrature, Monte-Carlo)