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Prediction Error

Core Idea

A prediction error is the signed or structured discrepancy between what an identifiable model predicted and what was observed in the same frame. The residual becomes operational: it updates the predictor, is routed as a compact message, or is collected for diagnosis.

Scope

The identity recurs in forecast errors, Kalman innovations, control residuals, predictive coding, residual coding, model diagnostics, and reward prediction errors. The predicted quantity changes; the predictor–observation–residual relation does not.

Clarity

The abstraction distinguishes a prediction miss from any departure from a norm. The reference must have been generated as a prediction. It also distinguishes the error signal from the larger architecture or method that consumes it.

Manages Complexity

Once predictable content is removed, the system can update or communicate only the residual. Collections of residuals can then be inspected for remaining structure.

Abstract Reasoning

Always name the predictor, prediction, observation, frame, residual sign, and consumer. Without those roles, “prediction error” is merely a metaphor for surprise.

Knowledge Transfer

Gain selection, residual routing, and error-diagnostic reasoning transfer directly among filters, forecasts, codecs, cortical hierarchies, and learning systems.

Relationships to Other Abstractions

Current abstraction Prediction Error Prime

Parents (1) — more general patterns this builds on

  • Prediction Error is a kind of Baseline Deviation Prime

    Prediction error is baseline deviation specialized to a model-generated predictive reference and an operational signed residual.

Children (4) — more specific cases that build on this

  • Reward Prediction Error Prime is a kind of Prediction Error

    Reward prediction error is prediction error specialized to reward or value predictions and value-policy updating.

  • Predictive Coding Prime is part of Prediction Error

    Prediction-error signals are internal messages in the predictive-coding hierarchy, comparing level-specific predictions with incoming activity and routing the residual upward.

  • Residual Analysis Prime is part of Prediction Error

    Prediction errors are the observed-minus-predicted objects that residual analysis collects and examines for remaining structure.

  • Expectancy Disconfirmation Domain-specific is a decomposition of Prediction Error

    Expectancy Disconfirmation decomposes to Prediction Error: remove the consumer-satisfaction frame and the load-bearing operation is a signed realized-minus-predicted discrepancy.

Hierarchy path (1) — routes to 1 parentless root

Notes

Created through a coordinated split from the formerly overbroad Reward Prediction Error entry. Editorial re-authoring is assigned in CHATGPT_2_CLAUD_TODO_LIST.