chapter thirteen

13 Expanding the boundaries of learning: OpenAI and the scaling laws of neural language models

 

This chapter covers

  • Jared Kaplan et al.’s Scaling Laws for Neural Language Models (2020) and the discovery that prediction error declines according to power-law relationships
  • How increases in training resources create measurable and predictable improvements in language-model performance
  • Why model parameters, training data, and compute must grow in balance to maximize performance gains
  • How increasing training resources not only reduces loss but also improves sample efficiency, generalization, and transfer across tasks
  • How modern AI applies old algorithms with new methods and architectures at scale to produce increasingly capable learning systems

Many of the ideas that power modern artificial intelligence originated independently across different centuries and disciplines, often in response to seemingly unrelated problems. David MacKay later exposed deeper connections among probability, inference, information theory, and learning. His synthesis marked an intellectual inflection point: methods developed in isolation could be understood as complementary parts of a common framework for reasoning and learning from incomplete information under different constraints.

13.1 Discovering the scaling relationships

13.1.1 The empirical puzzle

13.1.2 Measuring performance across resources

13.1.3 The empirical pattern

13.2 Parameters, data, compute, and power laws

13.2.1 Model parameters: representational capacity

13.2.2 Training data: available information

13.2.3 Compute: the work of learning

13.2.4 Expressing improvement as a power law

13.2.5 Balancing resources: the compute-efficient frontier

13.3 What scaling revealed—and what it did not

13.3.1 Larger models and sample efficiency

13.3.2 Generalization at high capacity

13.3.3 From next-token prediction to task transfer

13.3.4 The reach of the evidence

13.4 From isolated algorithms to scaled learning systems

13.4.1 What scaling did not change

13.4.2 From learned representations to relational architecture

13.4.3 Scaling the reach of learning

13.5 Constraints pushed outward (not eliminated)

13.5.1 Computational and physical boundaries

13.5.2 The limits of training data

13.5.3 The economics of the frontier

13.5.4 Moving the boundary—again

13.6 Summary