Critical Echo State Networks that Anticipate Input using Morphable   Transfer Functions
  The paper investigates a new type of truly critical echo state networks where individual transfer functions for every neuron can be modified to anticipate the expected next input. Deviations from expected input are only forgotten slowly in power law fashion. The paper outlines the theory, numerically analyzes a one neuron model network and finally discusses technical and also biological implications of this type of approach. 
Norbert Michael Mayer
cs.NE