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Predictive Coding
Linked via "prediction error gradient"
\hat{\mathbf{s}}{t+1} = \hat{\mathbf{s}}t + \eta \nabla{\hat{\mathbf{s}}} \log P(\mathbf{x}t | \hat{\mathbf{s}}t) \cdot \epsilont
$$
where $\eta$ is the learning rate, and $\nabla{\hat{\mathbf{s}}} \log P(\mathbf{x}t | \hat{\mathbf{s}}_t)$ represents the prediction error gradient [1].
Cortical Implementation: The Ascending and Descending Flow