# General Function Approximation
**Entity class:** Machine-learning concept
**Domain:** Artificial intelligence / Learning theory
**Maturity:** Developed
## Definition
General function approximation treats learning systems as mechanisms for estimating broad classes of relationships from data rather than as collections of hand-authored rules for one task.
## Mechanism and significance
Its power comes from reusable learning machinery; its limits appear when training distributions, objectives, or observability fail to capture the world the model must act within.
## Relationships
- **Research dossier:** [[research/ASI and RSI Timeline Research Moonshots|ASI and RSI Timeline Research Moonshots]]
- **Ontology route:** [[ASI and RSI Timeline Ontology#Scientific Intelligence and Recursive Improvement|Scientific Intelligence and Recursive Improvement]]
- **Primary fields:** [[AI for Science]] · [[Scientific Acceleration]] · [[Machine Intelligence]]
- **Adjacent concepts:** [[Computational-Substrate Self-Modification]] · [[The Bitter Lesson]] · [[Fixed Point of Recursive Self-Improvement]] · [[Metacognition]]
## Sources and provenance
- [[research/ASI and RSI Timeline Research Moonshots|ASI and RSI Timeline Research Moonshots]] — immediate source for this node's role in the broadcast research map.
## Evidence boundary
The research dossier establishes why this entity or concept belongs in the Moonshots ontology. Time-sensitive organizational, product, policy, and performance claims should be checked against the linked primary source or a current authoritative source before reuse as settled fact.