# How to sell my current solution to my advisor?

Long story short, a long time ago (2 years) I had a research project, that for various reasons was not completed. Some months ago I came back to it and started trying new methods, state-of-the-art algorithms, some battle tested for decades, and some novel ones that came in the past few years (after the project got put in hiatus).

I don't disagree my method is naive, but it works fast and is more accurate than all the other ones. I need to mention, my method works only in a very, very niche subset of cases, all these other methods are designed to be general and work on arbitrary shapes, so my method outperforming other methods is not a great discovery it simply can leverage more assumptions than the other methods can.

I measured and tried a bunch of stuff and well, yes the method I came up with is really, really silly it's a naive approximation (it's definitely not an exact solution), but of all the other things I tried, this seems to solve this particular problem in this particular subdomain better than all the other algorithms I have used to solve the problem, based purely on the numbers.

If a paper comes out of this, the paper would essentially be "here's how you can leverage this silly math fact to come up with a rough approximation of the true solution in microseconds, vs hours or days for an exact one".

With that being shared, I don't know if or how I can pitch or sell this to my advisor, considering that after so much time I have come with a lot more work done, just to say that the method he didn't like the first time works better than the state-of-the-art algorithms (for this specific case).

• What is the problem? Approximate solutions is a tried and true line of research. But you need to show it is robust as well as fast. Depending on the application, lack of robustness can be deadly (literally). Oct 13, 2020 at 23:45
• The problem is extending slerp to ellipsoids, for all intents and purposes Oct 13, 2020 at 23:55
• That isn't what I mean. What is the "issue". Approximate methods shouldn't need "selling" if they are valuable (and robust). Oct 13, 2020 at 23:58
• My advisor considers the method to be too naive and wanted me to try more sophisticated methods, he considers that the trick I use for the approximation alone isn't worthy of a publication due to it being so simple (and it would be pivotal to the rest of the paper). i.e. My advisor considers the method would probably not get past reviewers for being too naive without being an exact solution to the problem. Oct 14, 2020 at 0:11
• And at this point all I can answer is, well I tried other stuff and this is the best solution of what I have tried as far as the numbers in my computer are showing. Oct 14, 2020 at 0:12