In this context they are the same. We take a dog's instinctive behavior, and change it to one we approve of or want. We think training, at least for house-dogs, should start as soon as you bring them home. We see no reason to wait. As a matter of fact, we see reasons not to wait.
Puppy training is, as much as anything else, the formation of good habits.
If we let our new puppy run wild for a long period of time, doing as she wants, bad habits will form. And when training your dog, you will find that it is much easier and takes less time to initially form good habits than to try to eliminate bad ones and then replace them with the preferred behavior. This is one of the reasons we stress bringing your new puppy home at 7 weeks of age. In addition to the affects on socialization , those that make their grand entrance at 12 weeks or later are a much greater challenge to initial training. This is because they have already formed so many habits or life styles in a kennel situation that are not acceptable to living inside your home.