4 Deriving the Expected Performance
Our goal is to form an expectation for the performance based on the structure of the reservoir
and the properties of the task. Our approach is to calculate an expected output weight Wout
using which the error of the system can be estimated. The calculation ofWout using the regression
equation Equation 3 has two components: the Gramm matrix XX, and the projection
matrix XTy. We now show how each of the two can be computed.