I’m training regression model, learning the mapping from integer-valued vectors to a single real-valued property. All cyclic permutations of my feature vectors are equivalent, that is they have the same y. I’m a bit lost in trying encode this.

One idea I had was to augment the dataset by generating all the cyclic permutations, but I don’t think this is a good way to go at all. I’ve stumbled on strategies to encode cyclic features such as months by mapping them to a periodic function, but in my case this wouldn’t work as the elements of my vector have a different meaning.