I have never owned a Pyrenees but I do know that the northern breeds are harder to train. Holding the dog's respect is a prerequisite to training. They learn quickly. The trick is teaching the dog to behave reliably without hitting his boredom threshold. It is important to start young. Establish rules of the house early, and make sure that the puppy knows that you are in charge. (if you do not want the dog on the bed as an adult, do not allow it as a puppy). It is also important to establish yourself as the head of the pack very early. Once you do this, the dog will respect you and training will be much easier. Obedience training this breed can be very interesting and extremely challenging. Many owners will complain that their dogs act perfectly in class, but will not obey at home. This breed is intelligent enough to differentiate situations very well, and will apply different rules of behavior for different situations. You must stay on top of the dog and maintain control. The key to training them is to keep them interested and to challenge their intelligence.