Horsemanship vs Cunning
Chivalry vs Bushido
Crossbow vs Yumi Bow
too many options
On one hand, the Samurai Katana (forgive spelling if incorrect) can slice through pretty much anything medieval era
On the other hand, there's lances and armor crushing weaponry
On the Other one uses his brain to take down his opponents
the other uses force of arms
I'm giving my Edge to the Samurai,
Due to the fact their main weapon is incredibly versatile, and not to mention extremely deadly, and their secondary weapons are also very dangerous to mounted opponents, the Naginata especially considering it can be used to yank people off of horses
Sure the knight has Plate Armor, but the Samurai would most likely find the weak points and exploit the Knight's clumsier actions to his advantage in his lighter armor
and also because Samurai beat Viking, who was all about the usage of Brute Force