Hi Jennegolla,
The input parameters can definitely be pushed down from analytical views to the underlying attribute views provided you have created the input parameter in analytical view with same name as the one used in the underlying attribute view for filtering.
The memory issue which you're getting could be because of other reasons and you can try visualizing plan to see where you can improve the performance and evict the issue. Please go through below blog to learn more about plan visualizing, hope it helps...
Little trick to check table filtering on Planviz
Regards,
Anil