Theories of Neural Networks Leading to Unsupervised Learning

In this paper, we derive an exact single-pixel BSS solution for two components. Furthermore, we prove the solution for n components to be unique and stable by means of the augmented Lagrange or Karush, Kuhn and Tucker methodology [S 07]. Our constant-temperature free energy can estimate the neuronal population of brain's grey matter which is responsible for the consciousness activities identified by Crick & Koch as the Claustrum accomplishing binding among firing rates (similar to C-node tuning in the beginning of an orchestra performance). Furthermore, the retinal neuronal response Mexican hat functions could be explained by finite resource sharing for replenishment.