Wolverine has the advantage in every category, hands down. The predator is just big with some cool weapons. Wolverine has regenerative capabilities that are almost instant, super senses (which can be used a weakness when overloaded), a virtually indestructible skeletal coating of adamantium, endless stamina, built in blades that can cut through any material, upper limit human strength (meaning his weight class is in the one to two ton category), and extensive combat training spanning centuries. The predator couldn't hide from him with active camouflage, he could smell him or even hear him. The predator can't regenerate damaged tissue anywhere near the speeds that Wolverine can, or at least has never been shown to. So in the end Wolverine is the best at what he does, and what he does ain't pretty.