There would, so long as the extra dimensions are irrelevant. If there are more relevant dimensions then the total space becomes larger much faster than the happy space. Even having lots of irrelevant dimensions can be risky because it makes the training data sparser in the space being modelled, thus making superexponentially many more alternative hypotheses viable.
There would, so long as the extra dimensions are irrelevant. If there are more relevant dimensions then the total space becomes larger much faster than the happy space. Even having lots of irrelevant dimensions can be risky because it makes the training data sparser in the space being modelled, thus making superexponentially many more alternative hypotheses viable.