Scaling laws are used to pick optimal hyperparameters for large models.

• Kaplan et al 2020 - Scaling Laws for Neural Language Models
• Hoffmann et al 2022 - Training Compute-Optimal Large Language Models
• Tay et al 2022 - Scaling Laws vs Model Architectures: How Does Inductive Bias Influence Scaling?
• Ruan et al 2024 - Observational Scaling Laws and the Predictability of Language Model Performance Does a multi-dimensional regression (fitting a sigmoid) to predict the performance across model “families” (LLaMA, GPT-3, etc)

• Large models are usually trained with scaling laws in mind (often compute optimal for deployment, not training). See for example:
  • Google 2023 - PaLM 2 Technical Report (see section 2)

• Schaeffer et al 2023 - Are Emergent Abilities of Large Language Models a Mirage?
• Hu et al 2023 - Predicting Emergent Abilities with Infinite Resolution Evaluation Does bootstrap resampling to get a very fine-grained measure of model capabilities by resampling until they get the desire behavior a certain number of times. Can be used to predict emergent capabilities from very small models that rarely exhibit the desired behavior.
• Du et al 2024 - Understanding Emergent Abilities of Language Models from the Loss Perspective

• Hyperparameter Tuning
• Language Model
• Pretraining Methodology