This is a crude method that has worked for additives on other polymers. I haven't done much work on PVP, so I don't know the solvents to use. It only works on polymers that are not crosslinked. Maybe it will help get you started.
You need two solvents. The first solvent should dissolve both you active and the PVP. The second solvent should dissolve the active. The two solvents should be miscible.
Dissolve your material into a minimum amount of the first solvent. Add a relatively large amount of the second solvent. The PVP, since it isn't soluble, should precipitate out. Filter the mixture and evaporate the solvents to get your active.
The polymer example- You take a small amount of compounded polyvinyl chloride (PVC) and dissolve it in 5 ml tetrahydrofuran (THF). Add 15 ml methanol and mix well. The PVC precipitates out. Filter, evaporate, and run IR on the residue to id the additives.
There maybe other materials in the product that will mess this up, but it is a starting point. Good luck.