These are openly available, highly reviewed algorithms - their adoption as standards, too, is done by a process of open competition. And it's probably safe to say that the amount of research and analysis being done on them in the open exceeds that done in secret by government agencies by a wide margin.
Also, note that while AES and friends are public and designed "in the open", the government also has a number of algorithms that are developed and used internally and are not "public".