Symbol Q
Q occurs above the fraction bar. The numerator is divided by the entire denominator below it.
Read this term in its guide →Published equation contexts
Why this formula appears here
Vaswani and colleagues removed recurrence entirely, proposing an architecture “based solely on attention mechanisms, dispensing with recurrence and convolutions entirely”, and reported 28.4 BLEU on WMT 2014 English-to-German and 41.8 on English-to-French with substantially less training time [ 11 ] . The core operation is a single scaled dot-product: . The analytical point is that this is primarily a hardware result dressed as an architectural one. Every position attends to every other position in one parallel matrix multiplication, which maps precisely onto accelerator hardware in a way that a sequential recurrence never can. The transformer is what made it economically…
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Symbol K
K occurs above the fraction bar. The numerator is divided by the entire denominator below it.
Read this term in its guide →Symbol V
V is an argument of the function-like quantity on the left; its role is set by that function’s stated inputs.
Read this term in its guide →Symbol K^top
op occurs above the fraction bar. The numerator is divided by the entire denominator below it.
Read this term in its guide →Symbol d_k
occurs below the fraction bar. The quantity above the bar is divided by this expression; zero is excluded as a denominator.
Read this term in its guide →Denominator: sqrtd_k
The complete quantity below the fraction bar; it must be nonzero for this division.
Read this term in its guide →How to interpret it
With a fixed numerator, increasing a nonzero denominator reduces the fraction. Read it with the definitions, units, and assumptions supplied by the article.
Research cited beside this formula
Published contexts (1)
A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.
Equation 6 · Foundation Models
From n-Grams to Reasoning Models: A Technical History of the Language Model
This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.
Vaswani and colleagues removed recurrence entirely, proposing an architecture “based solely on attention mechanisms, dispensing with recurrence and convolutions entirely”, and reported 28.4 BLEU on WMT 2014 English-to-German and 41.8 on English-to-French with substantially less training time [ 11 ] . The core operation is a single scaled dot-product: . The analytical point is that this is primarily a hardware result dressed as an architectural one. Every position attends to every other position in one parallel matrix multiplication, which maps precisely onto accelerator hardware in a way that a sequential recurrence never can. The transformer is what made it economically…
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