Battery drain on Galaxy Note-I after updating to Jelly Bean I have Galaxy Note-I (N7000), and upgraded to Jelly Bean 4.1 today. 

The battery drains fast. Do we expect any update from Samsung on the battery drain issue, or do I need to downgrade to ICS?
I used to own that same device and in my experience with several ROMs the best way to get a battery to not drain quickly was to switch to a AOSP rom like Slimkat/Slimsaber and to use adaptive brightness. The screen being 5"+ used to use a huge amount of battery.
The stock Samsung ROMs are good but the AOSP ROMs make it a lot better in terms of battery usage.