My strategy is to first publish this mathematical method of function fitting, in a math journal, so that it gets some authenticity and help me get some serious attention from [anonymized topic] experts for providing labs/infrastructure or attract venture capitalists for a startup.
You have contradicting goals:
- If you want to sell some service or software based on your idea, then you shouldn't publish it. Once published, your method is available to everyone so you don't have exclusivity anymore. Instead you might want to license it, but for this you probably want to setup a company first and get legal advice from a professional.
- Otherwise there's a wide range of [anonymized topic] journals and conferences where you can submit. You should be able to justify your method, typically by comparing it to state of the art methods and demonstrating that it outperforms them or overcomes some problems they have. It's more convincing if you can demonstrate its usefulness with some real application, but if you have solid arguments about its potential applications then demonstrating the theory might be accepted as a contribution.
In both cases the main question is not about high dimension or not, it's about which kind of problem it can solve better than state of the art methods.