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Scaling Laws

The observation that language model loss improves smoothly and predictably as you increase model size, training data and compute, following power laws.

Also Chinchilla · compute-optimal training · emergent abilities

Fig. / How it works
COMPUTE (LOG SCALE) →LOSS →LOSS FALLS PREDICTABLY
Role · kind
Core ideasConcept
Level
Advanced

Kaplan et al., 2020; Hoffmann et al. (Chinchilla), 2022

Bigger brains that read more books get better at predicting words in a surprisingly regular way, so you can forecast how good a model will be before you build it.

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How it works

In 2020, researchers at OpenAI measured something remarkable: as language models get bigger, train on more data and use more compute, their test loss (see perplexity) drops along smooth straight lines on a log-log plot. Ten times more compute buys a predictable improvement, over many orders of magnitude.

That turned model building into something closer to engineering. You can train a series of small models, fit the curve, and forecast how a model a hundred times larger will do.

In 2022, DeepMind’s Chinchilla study refined the recipe: for a fixed budget, model size and training data should grow together, roughly 20 training tokens per parameter. Many earlier giants, including GPT-3, had been undertrained for their size; a smaller model trained on more data could beat them.

Two cautions. Scaling laws predict average loss, not when a particular ability will appear. And newer work shows a second axis: spending more compute at inference time, letting reasoning models think longer, can also improve results.

Everyday use cases

  • Case 01

    Planning a training run

    Labs fit scaling curves on small models to choose the size and data budget of a big one.

  • Case 02

    Explaining the race to scale

    Predictable gains are why organizations invested in ever larger models.

Famous examples

Strengths, weaknesses and when to use it

Strengths

  • Makes expensive decisions predictable.

Weaknesses

  • Predicts loss, not specific abilities; some skills appear suddenly or depend on data quality.
  • Data, energy and cost limits are real.

When to use itWhen deciding how to spend a compute budget between model size and data.

Check yourself

  1. Q01

    What did the Chinchilla study suggest about many earlier large models?

    Show answer

    A: They were too big for the amount of data they were trained on

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