You're building a two-sided marketplace, one of if not the most difficult model to get up and running in the startup world. Kudos for taking on the challenge!
While we're not building a dating app, we are building something that in many ways functions like one, and so we've studied the model a lot. The simplest version of a good marketing strategy we've seen is
1) pick the side of the market which will be hardest to grow organically, but which will drive growth on the other side (hint: in dating, it's the women)
2) pick a region to focus on. The entire US is too large to start. One region, or a smaller country, helps you get started. (Hint: in the US, I would pick a smallish Midwestern region with lots of universities).
3) Figure out a clever, simple marketing plan to drive your selected market in your selected region, and go after them heavily. Obviously I'm over simplifying this step, but it's going to need to be something which quickly grabs the attention of your target market, demonstrates the value of your product, and gets them to become active users quickly. If you're going to make this product work, you should be able to figure something out yourself, as you're the one who knows your product best.
Best of luck!