Jaynes' book circulated for a while on the internet in draft form, and a number of chapters never made it to the final published version. One of those was a generalization of maximum entropy to dynamic systems, where he called the thing to be maximized guage, I believe. I think it was an exponential raised to a matrix, but it's pretty hazy for me at this point.
Did anything ever come of that?
I thought I saw a paper discussing it a while ago, published maybe around 2007.
After having read the related chapters of Jaynes' book I was fairly amazed by the Principle of Maximum Entropy, a powerful method for choosing prior distributions. However it immediately raised a large number of questions.
I have recently read two quite intriguing (and very well-written) papers by Jos Uffink on this matter:
Can the maximum entropy principle be explained as a consistency requirement?
The constraint rule of the maximum entropy principle
I was wondering what you think about the principle of maximum entropy and its justifications.