I swear I didn't have this issue on 4.4.4; but I wouldn't bet my life on it. Around once a day, or even more, I have to restart the phone because my screen registers touches wrong a little under half way down the screen. Here is a video of it. https://dl.dropboxusercontent.com/u/6711388/Note4.webm
I've done a factory reset, I've done a Kies 3 firmware reinstall. It happens with or without a case, and at various states of charge and temperature. I hope it's a software issue, but I'm not seeing anyone else report it.
Will a Verizon store swap my unit if this is a hardware problem? I cannot be without a phone if this has to be shipped in for repair.