Well im currently in the process of trying to get back with an ex, so the answer to your question would be yes. I believe it entirely depends on the situation of how you broke up in the first place. For me, we seperated because we were both starting university, and in a way we had to in order for us both to grow as people. It was completely mutual albeit emotional and niether party was angry at the other although it was the worst memory of my life getting on the bus after seeing her for the last time. Now though things have changed, we both have had a relationship since but both are still crazy about each other.
In your situation, i think you need to really remeber what led you to cheat in the first place. If you were unable to say no at the time, do you really feel she is right for you? You see if it were her asking the question, i can guarantee every single response here would be saying 'Once a cheater always a cheater, you would be a fool to go back!'