The speaker says there is no fundamental barrier to analyzing a changing kernel, which entails both kernel-change dynamics and dynamics of the local function described by the kernel.

“There is nothing that fundamentally hinders us in looking at the kernel itself changing. So in fact we have two dynamics where we have both the the kernel change dynamics.”

“And we have the uh kind of kernel itself describing the the local function. And this is also what mean field theory does. Mean field theory effectively in the c in the back of their their big paper, they have a a section where they talk about well actually the connection to neurotangent kernel theories, we just assume the kernel also changes.”