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Scaling Laws
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== <span style="color: #FFFFFF;">Remembering</span> == * '''Scaling law''' β A power-law relationship between model performance and compute, parameters, or data. * '''Compute (C)''' β Total floating point operations used in training, measured in FLOPs. * '''Parameters (N)''' β The total number of learnable weights in the model. * '''Tokens (D)''' β The number of training data tokens the model was trained on. * '''Cross-entropy loss''' β The primary metric in scaling law studies; lower = better language modeling. * '''Kaplan scaling laws''' β OpenAI's 2020 paper showing loss scales as a power law with N, D, C. * '''Chinchilla scaling laws''' β DeepMind's 2022 finding that optimal training allocates equal compute to model size and training data (N β D). * '''Compute-optimal model''' β A model trained with the optimal N and D for a given compute budget, per Chinchilla. * '''Emergent ability''' β A capability that appears only at certain model scale, not visible in smaller models. * '''Phase transition''' β Abrupt, discontinuous improvement in a capability as scale increases. * '''Irreducible loss''' β The minimum achievable loss on the data distribution; sets a floor on scaling improvements. * '''Inference scaling''' β Using additional compute at inference time (more tokens of reasoning, chain-of-thought, search) to improve outputs. * '''Test-time compute''' β Compute spent during inference to improve answer quality (e.g., best-of-N sampling, process reward models). </div> <div style="background-color: #006400; color: #FFFFFF; padding: 20px; border-radius: 8px; margin-bottom: 15px;">
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