Equation 5 · Part 15 · From n-Grams to Reasoning Models: A Technical History of the Language Model
Numerator: exp(e_ij)
What this part means
The complete quantity above the fraction bar.
Its job in the formula
exp(j) occurs above the fraction bar. The numerator is divided by the entire denominator below it.
Full expression→Numerator: exp(e_ij)→Article meaning
The passage around this formula
Bahdanau, Cho and Bengio proposed letting the decoder search the source for the parts relevant to each output word, rather than reading from a single compressed vector [ 9 ] . The decoder computes, at each output step i , a context vector as a weighted sum of all encoder states: . The capacity of the intermediate representation now grows with the input rather than being fixed in advance. They further reported that the learned alignments corresponded well with human linguistic intuition — an interpretability result that arrived free with a performance fix, which is rare.
Learn the underlying idea
A fraction a/b means a divided by b. The top number is the numerator; the bottom number is the denominator, and it cannot be zero.
Open the illustrated fractions: division written vertically guide →
Sources cited in the surrounding passage
These citations provide research context; check each source for the exact claim it supports.