Which is better: IIT HSEE or Ashoka University?

To begin with a comparison, both institutions are vastly different. The curricula, the course structures, the admission requirements at the institutes are quite unique. These factors depend on the kind of crowd at the university. 

Comparison:

• While IIT has a brand name, it offers more practical but circumscribed programs in comparison to Ashoka University. Ashoka University on the other hand offers flexibility.
• Ashoka University offers dynamic courses with the added advantages to pursue other opportunities as well. Which you will not get in IIT HSEE.

The table below will give you a brief overview of the two colleges.

These were a few examples of the type of variety in curriculum one experiences at Ashoka University, and it's embedded in all of their programs. Although the administration is not very amiable. My friends at IIT HSEE face a similar issue with the administration and the courses are not as varied either.

The final decision is yours. You should choose based on what is the outcome you want from your degree.