Progress in Neural Network Renormalization Group

Progress in Neural Network Renormalization Group

Renormalization group is a fundamental concept in physics research. It is not only a powerful tool for studying phase transitions and critical phenomena, as well as strong coupling problems, but it also shapes physicists’ worldview: physics is an effective theory about the emergence of phenomena at different scales and energy levels. In the practical applications … Read more

Progress on Neural Network Canonical Transformations

Progress on Neural Network Canonical Transformations

Canonical transformations are classical methods used by physicists, mechanical engineers, and astronomers to handle Hamiltonian systems. By finding suitable variable substitutions, canonical transformations can simplify, or even completely solve the dynamics of Hamiltonian systems. For instance, in the 19th century, French scientist Charles Delaunay published approximately 1800 pages of analytical derivations attempting to simplify the … Read more