Equation 7 · Part 6 · From n-Grams to Reasoning Models: A Technical History of the Language Model
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What this part means
Approximately equal to; the equality is not exact.
Its job in the formula
Approximately equal to; the equality is not exact.
Full expression→≈→Article meaning
The passage around this formula
By this point compute had become the binding constraint, and the field did not know how to spend it. Kaplan and colleagues characterised the relationship empirically, finding that cross-entropy loss scales as a power law in model size, dataset size and compute, with trends spanning more than seven orders of magnitude, and concluding that compute-efficient training meant very large models on relatively modest data, stopped well short of convergence [ 16 ] . The functional form is the important part: . Hoffmann and colleagues then trained over four hundred models and reached a different allocation: model size and training tokens should scale in roughly equal proportion, and…
Learn the underlying idea
A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.
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Sources cited in the surrounding passage
These citations provide research context; check each source for the exact claim it supports.