Hi everyone,
I am writing a paper where we obtain stronger results under much more simplified assumption. How can I justify the contribution of our work?
Currently, I am using the following flow (in the introduction):
In this paper, we study ... problem ...
The above problem can be viewed as a special case of [Ref], where they consider more general settings ... . but the algorithm in [Ref] is computationally ineffecient. /*I don't feel comfortable about this paragraph; it may be move to some other places. For example, after discussing our contributions? */
To tackle this problem, we consider simplified versions of the problem ...
With these simplified assumptions, we are able to obtain computationally efficient algorithms, ... and achieve (better performance)
Even with these simplified assumptions, the problem is still challenging. ... /* challenges of the simplified problem */
To address these challenges, ... /* our contribution */
Could you give me some suggestions, or references that you think can be a good model?
Thank you very much!