I did a search for fixing warped mats, and most of them suggest that you use heat and pressure.
You could lay it out on your driveway in the sun with something on top of it for pressure, and to keep it flat. Depending on how warped it is, it may take some time to get it to lay flat again.
Or use your iron, cover the mat with a couple of layers of towels, and iron (low temp) over the warped area, applying pressure to the worst areas.
If you can not get the warp to go away, you can always cut it into smaller mats to ues near your machine, or to take to classes.
Diane in Colorado Springs