Before revision:   Our algorithmic information methodology therefore provides a rigorous framework enabling  fundamental assessment and comparison between different methods for reducing the complexity of networks while preserving key structures in the networks thereby facilitating the identification of such core processes .
After revision:  Our algorithmic information methodology therefore provides a rigorous framework enabling fundamental assessment and comparison between different methods for reducing the complexity of networks while preserving key structures in the networks thereby facilitating the identification and evaluation of the capabilities of old and new methods .