My 4 tips:

1) Roll the fingers of the fretting hand so they lift from the fret as soon as the notes are picked.

2) Mute strings with the left and right hands - tip: also use the ridge of the thumb between the first knuckle and nail of the picking hand to mute

3) Bring the gain back to no more than 70% at the most - I use 60%-65% now, I use higher gain for a more smolderng tone where absolute picking clarity is not as important

4) Try playing off the neck pickup when you start out - it's clearer and less noisey - also the neck has a nice fat tone which is good for differenciating the harmonic variations of each string (hence the fat to thin wave effects of a fast arp) . When you get it sounding good from the neck, flip to the bridge to perfect the technique - more difficult because your techniue has to be perfect.

Hope that helps