Read the equation
The net change is 0.05 times utility minus ed_error. Positive utility exceeding error increases the state; equal values leave it unchanged. The formula is a scalar control rule and does not specify a coding rate, a distortion distribution, or the constrained minimization that defines a rate-distortion function.
Terms & definitions
| Term | Meaning in this source |
|---|---|
| x | Current state |
| ed_error | Project error input |
| utility | Utility input |
How it works
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Original context
Read the surrounding source passage
## 3.8 Family 7: Rate-Distortion ``` f₇(x) = x - 0.05 · ed_error + 0.05 · utility ``` **Equation Type**: Rate-distortion tradeoff: min I(X;Z) - β·I(Z;Y) **Explanation**: Balances compression (reducing error) against fidelity (maintaining utility). This family handles information compression and lossy encoding. ## 3.9 Family 8: Consensus Averaging ``` f₈(x) = 0.95 · x + 0.05 · dx_norm ``` **Equation Type**: Consensus protocol: x_i(t+1) = x_i(t) + Σ(x_j - x_i) **Explanation**: Slowly integrates external signals while maintaining strong memory. Used for reaching agreement across distributed processes. ## 3.10 Family 9: Swarm Interaction ``` f₉(x) = x + 0.05 · softsign(dx_norm - x)
Exact original notation
f₇(x) = x - 0.05 · ed_error + 0.05 · utility