Shia LaBeouf [1] opened up about his Las Vegas wedding [2] with his longtime girlfriend, Mia Goth, when he stopped by The Ellen DeGeneres Show [3] on Tuesday. Even though the entire ceremony was live streamed on TMZ, he told the host that they originally intended for it to be private. "We get back home and it's like, 'Whoa, hey listen, something changed!' I call them up and they said somebody pressed the wrong button that sends the video to TMZ," he explained. "I said I understood. I checked with my girl and she said, 'Hey, what are you gonna do?' And ya know, it's love. We're proud of it." Even though the two are sporting wedding bands [4], local Nevada officials claim they aren't actually legally married [5] and simply participated in a "commitment ceremony." Either way, Shia looks so happy!