Batman vs. Profilers

So, it's not a typical Fantasy Battle, but the ol' girlfriend and I have taken to watching a lot of Criminal Minds. We got into a conversation as to whether or not profilers would be able to figure out and catch Batman.
Vigilantees are criminals as per the law. Batman's identity is a secret. Do you think that in a real world situation a group of profilers could figure out that Batman is Bruce Wayne? I don't mean they'd 'catch' him like arrest him, but could they figure him out? There's apparently a lot of discussion as to the validity of profiling anyway, like whether or not its a legitemate use of resources or whether it's a lot of mumbo jumbo. So, could psyche profilers catch the Dark Knight?
Vigilantees are criminals as per the law. Batman's identity is a secret. Do you think that in a real world situation a group of profilers could figure out that Batman is Bruce Wayne? I don't mean they'd 'catch' him like arrest him, but could they figure him out? There's apparently a lot of discussion as to the validity of profiling anyway, like whether or not its a legitemate use of resources or whether it's a lot of mumbo jumbo. So, could psyche profilers catch the Dark Knight?