The burstiest champion in the game?

As a DPS he suffers greatly from the "Attack Burst Damage Per Second Syndrome." Of being able to do bursts of thousands of damage per second. It really isn't that big of a deal because he can be shut down, with CC . . .
But this is SoloQ we're talking about. Unless if you're super high diamond that isn't quite good enough. It isn't even a late-game problem because Yi can do 1.5K damage per second with 2 items and a pair of boots

This spike is absolutely ludicrous. I'm playing Pyke, pulled the dude into 1v5. He's charged up on wolves, so he hits me with a Q, 2 auto attacks then a passive and I'm instantly dead. He had 4 kills at that time, but that's absolutely insane spiking levels. The fuck am I suppose to do, not pull him in or pull him in and then waste my flash so another teammate can die?
rushing Yi. I managed to 1v2 Yasuo and Vayne that were way-way ahead than me. They took 2 Qs, good luck trying to touch URF Yi. You don't need AS items like razor and rageblade. CDR and AD, and crit is the new optimal build with ER, and is way stronger, because there is no counterplay at all. You basically have to pray his Q to glitch and he gets hit by CC during his Q animation.
Duh

. I haven't had an issue with Yi ever since picking up the monkey, hes just free food whenever I see him now.
????
and in terms of bps (burst per second) its
in burst or dps?