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add self-attention.typ converted from self-attention.tex for visualiz…
…ing self-attention mechanism in neural networks
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#import "@preview/cetz:0.3.1": canvas, draw | ||
#import draw: line, content, circle, rect, bezier | ||
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#set page(width: auto, height: auto, margin: 3pt) | ||
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#canvas({ | ||
// Define spacing constants | ||
let node-spacing = 2 | ||
let layer-spacing = 2 | ||
let vertical-spacing = 1.3 | ||
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// Input nodes | ||
let y1 = 6 | ||
let y_dots_1 = y1 - vertical-spacing | ||
let yj = y_dots_1 - vertical-spacing | ||
let y_dots_2 = yj - vertical-spacing | ||
let yn = y_dots_2 - vertical-spacing | ||
let arrow_style = (end: "stealth", fill: black, scale: 0.7) | ||
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// First column (input vectors) | ||
content((0, y1), $arrow(e)_1$, name: "arrow1", padding: 2pt) | ||
content((0, y_dots_1), $dots$) | ||
content((0, yj), $arrow(e)_j$, name: "arrowj", padding: 2pt) | ||
content((0, y_dots_2), $dots$) | ||
content((0, yn), $arrow(e)_n$, name: "arrown", padding: 2pt) | ||
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// Second column (attention nodes) | ||
let x2 = layer-spacing | ||
content((x2, y1), $a_phi$, frame: "rect", padding: (3pt, 4pt), name: "attn1") | ||
content((x2, yj), $a_phi$, frame: "rect", padding: (3pt, 4pt), name: "attnj") | ||
content((x2, yn), $a_phi$, frame: "rect", padding: (3pt, 4pt), name: "attnn") | ||
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// Third column (alpha values) | ||
let x3 = x2 + layer-spacing | ||
content((x3, y1), text(fill: rgb(0, 0, 0, 20%))[$alpha_(1j)$], name: "alpha1j", padding: 3pt) | ||
content((x3, yj), $alpha_(j j)$, name: "alphajj", padding: 3pt) | ||
content((x3, yn), text(fill: rgb(0, 0, 0, 60%))[$alpha_(n j)$], name: "alphanj", padding: 3pt) | ||
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// Fourth column (multiplication nodes) | ||
let x4 = x3 + layer-spacing | ||
content((x4, y1), name: "times1", $times$, frame: "circle", padding: 3pt, stroke: .7pt) | ||
content((x4, yj), name: "timesj", $times$, frame: "circle", padding: 3pt, stroke: .7pt) | ||
content((x4, yn), name: "timesn", $times$, frame: "circle", padding: 3pt, stroke: .7pt) | ||
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// Fifth column (sum node) | ||
let x5 = x4 + layer-spacing | ||
content((x5, yj), $Sigma$, frame: "rect", padding: 4pt, name: "sum") | ||
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// Output node | ||
let x6 = x5 + 1 | ||
content((x6, yj), $arrow(e)'_j$, name: "output", padding: 2pt) | ||
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// Draw connections | ||
line("arrow1.east", "attn1.west", mark: arrow_style) | ||
line("arrowj.east", "attnj.west", mark: arrow_style) | ||
line("arrown.east", "attnn.west", mark: arrow_style) | ||
line("arrowj.east", "attn1.west", mark: arrow_style) | ||
line("arrowj.east", "attnn.west", mark: arrow_style) | ||
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line("attn1.east", "alpha1j.west", mark: arrow_style) | ||
line("attnj.east", "alphajj.west", mark: arrow_style) | ||
line("attnn.east", "alphanj.west", mark: arrow_style) | ||
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line("alpha1j.east", "times1.west", mark: arrow_style) | ||
line("alphajj.east", "timesj.west", mark: arrow_style) | ||
line("alphanj.east", "timesn.west", mark: arrow_style) | ||
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line("times1.east", "sum.north-west", mark: arrow_style) | ||
line("timesj.east", "sum.west", mark: arrow_style) | ||
line("timesn.east", "sum.south-west", mark: arrow_style) | ||
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line("sum.east", "output.west", mark: arrow_style) | ||
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// Draw f_psi connections with labels | ||
for (idx, (start, end)) in ( | ||
("arrow1.east", "times1.south-west"), | ||
("arrowj.east", "timesj.south-west"), | ||
("arrown.east", "timesn.south-west"), | ||
).enumerate(start: 1) { | ||
bezier( | ||
start, | ||
end, | ||
( | ||
(v1, v2) => { | ||
let (x1, y1, ..) = v1 | ||
let (x2, y2, ..) = v2 | ||
return ((x1 + x2) / 2, (y1 + y2) / 2 - 2) | ||
}, | ||
start, | ||
end, | ||
), | ||
mark: arrow_style, | ||
stroke: 1pt, | ||
name: "fpsi" + str(idx), | ||
) | ||
content( | ||
"fpsi" + str(idx) + ".50%", | ||
text(fill: rgb(0, 0, 0, 60%))[$f_psi$], | ||
frame: "rect", | ||
padding: (3pt, 4pt), | ||
name: "fpsi", | ||
fill: white, | ||
) | ||
} | ||
}) |