the first say 20 minutes of the talk will be the spiked matrix tensor model which is the optimization you can think of optimizing the loss function that is written here it has two parts one so so the variable over which you are optimizing is the x that is living on an n-dimensional sphere and n will be large that will be the limit we will be interested in high dimensional and then the way the loss function depends on the x is through the matrix y that is created from some ground through x star plus a load of noise