I didn't go check out the video that was posted so I may be repeating what was said. Sorry.
Play slow, as slow as it takes to do it correctly.
Do you best to use proper finger techniques. You want to try to come straight down onto your string so it's the tips of your fingers not the pad of your fingers.
It takes finesse, no doubt about it. I've been playing for two years now and I can see how I've been very lazy about my finger posture. I'm realizing that I need to unlearn a lot of bad habits.
Take the time now to learn good habits so you don't have to unlearn them. :)
Good luck!
[U]Ricks Current Mystery Video[/U] - Updated Monday March/02/2015