摘 要:Symmetry is really determined by the algebra of local symmetric operators. Such an operator algebra is described by a braided fusion higher category. So a symmetry is really a topological order in one higher dimension. This point of view reveals that many seemingly different (anomalous) symmetries are actually equivalent
Abtract: Machine learning using neural networks is a very powerful methodology which has demonstrated utility in many different situations. In this talk I will show how work in the mathematical discipline called topological data analysis can be used to (1) lessen the amount of data needed in order to be able to learn and (2) make the computations more transparent. We will work primarily w...