Words as Vectors

The Vector Plot

The coordinate plot draws each word vector as an arrow from the origin. It is another view of the same assigned exact vector table.

highlighted = computed this step

The vector plot

The plot draws each word as an arrow from the origin to its exact coordinate. The endpoint markers are tied to the same displayed vector map.

(0,0)→word vector(0,0)\rightarrow\text{word vector}
2D word-vector plotArrows start at the origin and end at exact integer coordinates.2D word-vector plotArrows start at the origin and end at exact integer coordinates.exact word vectors2D toy word vectorsArrows from the origin to exact assigned integer coordinates.ckac=cat=(3,1)k=kitten=(2,1)a=car=(1,3)

Reading the geometry

Cat and kitten point in nearby directions, while car points more upward in this toy coordinate system. That is geometric alignment, computed from the assigned vectors.

geometry from assigned coordinates\text{geometry from assigned coordinates}
2D word-vector plotArrows start at the origin and end at exact integer coordinates.2D word-vector plotArrows start at the origin and end at exact integer coordinates.exact word vectors2D toy word vectorsArrows from the origin to exact assigned integer coordinates.ckac=cat=(3,1)k=kitten=(2,1)a=car=(1,3)

Summary

The plot helps inspect the same integer coordinates used by the table. The final lesson states the boundary around these assigned vectors.

plot and table share one vector lock\text{plot and table share one vector lock}
2D word-vector plotArrows start at the origin and end at exact integer coordinates.2D word-vector plotArrows start at the origin and end at exact integer coordinates.exact word vectors2D toy word vectorsArrows from the origin to exact assigned integer coordinates.ckac=cat=(3,1)k=kitten=(2,1)a=car=(1,3)