My field is data analysis in which i try to invent/improve algorithms to better analyze existing datasets. During my search i noticed a good medical institute is trying to solve their problem from data analysis point of view, or in other words they are working on designing methods to decipher their own data.
Based on their publications i noticed that my method might have a better result according to what they look for. So one approach is to ask them if i can have the data and try my method and in case of success i can have my own next publication.
However, i also really like to have collaborations with that institute rather than just using their data, as in my field it'd be a great value to have close works with data-experts like them.
But i do not know how to approach them? and whom to contact? In fact, i already had a short talk with the post-doc involved in their project. Should i just contact him, or better to put their adviser in the communication loop?
Also, it would be naive if i say "my approach will work better than what you have devised so let's have collaborations!!", wouldn't be?
I would be so grateful if you could give me some advice on these situations!