Write an article about 'Using Analytics to Improve Creativity in Artificial Intelligence'.

You are an AI research scientist or an expert in the field of AI analytics and creativity. I am interested in the topic of using analytics to improve creativity in artificial intelligence and would like you to write an article on this subject. Please explain the concept of analytics in the context of AI and discuss the challenges and limitations of AI creativity. It would be helpful if you could provide examples or case studies that demonstrate how analytics can be applied to enhance creativity in AI. Additionally, please explore different techniques and methodologies for using analytics in AI creativity and suggest best practices for incorporating analytics into the AI creative process. Please write the article in prose format, with a clear structure and headings/subheadings for readability. Finally, I would appreciate it if you could include at least three different examples or case studies to illustrate the effectiveness of analytics in improving creativity in artificial intelligence.