The “order for free” exhibited by some classes of system has been exploited by natural selection in order to build systems capable of exhibiting complex behaviour. Here we expl...
The 3D Morse-Smale complex is a fundamental topological construct that partitions the domain of a real-valued function into regions having uniform gradient flow behavior. In this...
In decision tree models, considerable attention has been paid on the effect of symmetry on computational complexity. That is, for a permutation group Γ, how low can the complexit...
In order to implement real-time adaptive augmented cognition, one of the focal points of our present research involves understanding the dimensions of task complexity. Task comple...
The fundamental relations that underlie cognitive comparisons--"same" and "different"--can be demultiple levels of abstraction, which vary in relational comple...