Jump Canceling is a technique in which the player starts an aerial combo and uses the ability to jump on enemies to cancel their combo and start a new combo. Many characters, such as Dante and Nero allow easy execution of this trick
This technique, when done correctly, can increase your Style rank drastically. It's also a difficult technique to learn, but with practice, can be done in many different varieties.
To do the jump cancel, knock an enemy into the area. While they are in the air, start a combo. Before finishing the combo, jump on the enemy. This will cancel the combo and allow a new combo to be started.