Public profiles are made of public information gathered from social networks, blogs, news articles and such. Celebrity profiles are also made of public information but that is strictly coming from websites such as Wikipedia, CrunchBase or Freebase which are known as collaborative encyclopedias.
You may have noticed that as soon as someone is mildly popular, he or she will have a dedicated page on Wikipedia or on similar websites. Often, one won't need to be a movie star or a political figure to be on these sites, sometimes being an entrepreneur will grant you this type of recognition.
The way the Yatedo search engine works is if a person's public information is identified as coming from these particular websites, then a "celebrity" type profile will automatically be generated for him or her.
The celebrity profile is different from the public profile in that you (if it is your profile) cannot claim it or take control of it. And if you cannot claim it, you therefore cannot edit it. The reason behind this is it was made from public content, that is STILL being published today. In other words, as long as this content is published, a celebrity profile will continue to exist for this person on Yatedo.
But as you may (or may not) know, you can edit the content published on these websites as they are by nature "collaborative" How to edit a wikipedia page? This, in turn and over time, will affect the content displayed on your celebrity profile. So, you cannot delete your celebrity but you can indirectly modify it.