Equation 40 · AI Feeds on the Distance Between an Intention and an Outcome
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Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
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Symbol d_t
is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
subscript
The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.
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What the article says around this equation
Here is supplied input-context length in tokens, not tokens consumed after the agent has begun acting; using post-attempt expenditure would contaminate the predictor with behavior. The term is a predeclared ordinary benchmark-difficulty score based only on endpoint-side, redaction-invariant features such as repository size band, static dependency reach, test-suite scope, and selected task-family label. It is deliberately conventional and admittedly imperfect. The terms and are repository and task random effects, while represents model or agent-configuration identity. The baseline includes model identity, token length, ordinary difficulty, and task…
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Here is supplied input-context length in tokens, not tokens consumed after the agent has begun acting; using post-attempt expenditure would contaminate the predictor with behavior. The term is a predeclared ordinary benchmark-difficulty score based only on endpoint-side, redaction-invariant features such as repository size band, static dependency reach, test-suite scope, and selected task-family label. It is deliberately conventional and admittedly imperfect. The terms and are repository and task random effects, while represents model or agent-configuration identity. The baseline includes model identity, token length, ordinary difficulty, and task horizon exactly so that the new variable cannot win by repeating any one of them.
Sources cited in the article section
- [11] GAIA: A Benchmark for General AI Assistants ↗
- [12] PaperBench: Evaluating AI's Ability to Replicate AI Research ↗
- [6] RE-Bench: Evaluating Frontier AI R&D Capabilities of Language Model Agents against Human Experts ↗
These citations give research context. Read each source to check which claims it supports.
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