pyhgf.updates.prediction_error.continuous.continuous_node_volatility_prediction_error

pyhgf.updates.prediction_error.continuous.continuous_node_volatility_prediction_error(attributes: Dict, node_idx: int) → Dict

Compute the volatility prediction error of a state node.

The volatility prediction error \(\Delta_j^{(k)}\) of a state node \(j\) is given by:

\[\Delta_j^{(k)} = \frac{\hat{\pi}_j^{(k)}}{\pi_j^{(k)}} + \hat{\pi}_j^{(k)} \left( \delta_j^{(k)} \right)^2 - 1\]

Parameters:

attributes

The attributes of the probabilistic nodes.

node_idx

Pointer to the node that will be updated.

Returns:

attributes

The attributes of the probabilistic nodes.

See also

continuous_node_value_prediction_error, continuous_node_prediction_error

References

[1]

Weber, L. A., Waade, P. T., Legrand, N., Møller, A. H., Stephan, K. E., & Mathys, C. (2023). The generalized Hierarchical Gaussian Filter (Version 1). arXiv. https://doi.org/10.48550/ARXIV.2305.10937