AIXI is a mathematical framework for artificial general intelligence developed by Marcus Hutter since the year 2000. It’s based on many concepts, such as reinforcement learning, Bayesian statistics, Occam’s razor, or Solomonoff induction. The blog post What is AIXI? — An Introduction to General Reinforcement Learning provides an accessible overview of the topic for those of you not familiar with it.
Are there any other mathematical frameworks of artificial general intelligence apart from AIXI?
I am aware of projects such as OpenCog, but that’s not really a mathematical framework, but more a cognitive science framework.