In FL setting, the goal is typically to minimize the following objective function:

Here m is the total number of devices, Fk

is the local objective function for the kth device, and pk

specifies the relative impact of

each device with pk $>=0$ and $$k$=1..$m pk $=1.$ What happens to the global objective function F $($w$)$ when pk $=1/$m$?$ Is this strategy

good in the presence of slowly responding devices?