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Equation 12 · OpenAI Model Systems from First Principles: Weights, Post-Training, and Inference Compute

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L∞L_\infty

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the irreducible floor. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

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L∞L_\infty

Symbol L_infty

the irreducible floor.

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has an irreducible floor L∞L_\infty and diminishing returns above it. Doubling N buys a fixed decrement in loss, not a fixed multiple of capability.

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