I'm confused about the point of adaptive arithmetic coding.
I understand that static arithmetic coding involves using preset probabilities of symbols that remain static during the whole process. I also understand that adaptive arithmetic coding involves change all probabilities after each symbol encountered.
However, what is the point of changing the probability after each symbol? Why wouldn't you just go through an entire file first and determine the probabilities and then do the arithmetic coding as a second pass?
Additionally, I don't understand how changing the probability of symbols impacts the compression? If we know the true probabilities of the symbols in the file we are compressing, then will it make the file smaller?