Laboratoire de Physique Théorique

de la Matière Condensée

Misaki Ozawa (Univ. Grenoble Alpes)

Renormalization Group Approach for Machine Learning Hamiltonian

Reconstructing, or generating, high dimensional probability distributions starting from data is a central problem in machine learning and data sciences. We will present a method —The Wavelet Conditional Renormalization Group —that combines ideas from physics (renormalization group theory) and computer science (wavelets, Monte-Carlo sampling, etc.). The Wavelet Conditional Renormalization Group allows reconstructing in a very efficient way classes of high dimensional distributions and the associated Hamiltonians hierarchically from large to small length scales. We will present the method and then show its applications to data from statistical physics and cosmology.