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September 23, 2023 22:07
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Micrograd.jl Forward Prop
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### A Pluto.jl notebook ### | |
# v0.19.26 | |
using Markdown | |
using InteractiveUtils | |
# ╔═╡ 9d7b2fcb-7155-4636-97f6-4401b6f561af | |
begin | |
import Pkg | |
Pkg.add(path="https://github.com/abelsiqueira/GraphViz.jl#38-add-engine-attribute"); | |
using GraphViz | |
end | |
# ╔═╡ 8d04e8a2-5a40-11ee-1678-757abfdac18b | |
begin | |
Base.@kwdef struct Value | |
scalar::Real = 0.0 | |
grad::Real = 0.0 | |
children::Tuple = () | |
operation::Union{Nothing,Symbol} = nothing | |
label::Union{Nothing,Symbol} = nothing | |
end | |
end | |
# ╔═╡ 5d70a89c-7ff3-401d-99cf-85a342d4a0cd | |
begin | |
import Base | |
Base.:+(a::Value, b::Value) = Value(scalar=a.scalar + b.scalar, children=(a,b), operation=:+) | |
Base.:-(a::Value, b::Value) = Value(scalar=a.scalar - b.scalar, children=(a,b), operation=:-) | |
Base.:*(a::Value, b::Value) = Value(scalar=a.scalar * b.scalar, children=(a,b), operation=:*) | |
end | |
# ╔═╡ db7e8ffc-cb6a-4ec3-bcaa-d580fb6c6bfa | |
begin | |
namedEx(v::Value, name::Symbol) = Value(scalar=v.scalar, children=v.children, operation=v.operation, label=name) | |
namedEx(v::Value, grad::Real, name::Symbol) = Value(scalar=v.scalar, grad=grad, children=v.children, operation=v.operation, label=name) | |
end | |
# ╔═╡ 81d6ade0-65d4-4095-8830-6b1b3e149885 | |
function tanh(v::Value) | |
x = v.scalar | |
t = (exp(2x) - 1) / (exp(2x) + 1) | |
return Value(scalar=t, children=(v, ), operation=:tanh, label=:nothing) | |
end | |
# ╔═╡ 0be221b7-934e-4071-a926-04fee18ad5ad | |
Value(scalar=2.0) + Value(scalar=4.0) | |
# ╔═╡ 086bace9-76e9-472f-ade8-1d707e309ef5 | |
begin | |
x1 = Value(scalar=2.0, label=:x1) | |
x2 = Value(scalar=0.0, label=:x2) | |
w1 = Value(scalar=-3.0, label=:w1) | |
w2 = Value(scalar=1.0, label=:w2) | |
b = Value(scalar=8, label=:b) | |
x1w1 = namedEx(x1 * w1, :x1w1) | |
x2w2 = namedEx(x2 * w2, :x2w2) | |
x1w1x2w2 = namedEx(x1w1 + x2w2, :x1w1x2w2) | |
n = namedEx(x1w1x2w2 + b, :n) | |
o = namedEx(tanh(n), :output) | |
end | |
# ╔═╡ bb0f7b4b-4852-4f7d-b388-b61b01cc3217 | |
function trace(root) | |
nodes, edges = Set(), Set() | |
function build(v) | |
if v ∉ nodes | |
push!(nodes, v) | |
for child in v.children | |
push!(edges, (child, v)) | |
build(child) | |
end | |
end | |
end | |
build(root) | |
return nodes, edges | |
end | |
# ╔═╡ 7e2d392f-d373-4e88-b81d-72ec2a8b4392 | |
function build_dot(root) | |
g = """digraph { | |
rankdir="LR" | |
""" | |
nodes, edges = trace(root) | |
for n in nodes | |
uid = hash(n) | |
g = g * """\n"$uid" [label = "$(n.label) | data $(n.scalar) | grad $(n.grad)" shape="record"]""" | |
if n.operation != nothing | |
opname = "$uid$(n.operation)" | |
g = g * """\n"$opname" [label = "$(n.operation)"]""" | |
g = g * """\n"$opname" -> "$uid" """ | |
end | |
end | |
for (n1,n2) in edges | |
g = g * """\n"$(hash(n1))" -> "$(string(hash(n2)) * string(n2.operation))" """ | |
end | |
g = g * "\n}" | |
f = tempname()*".dot" | |
write(f, g) | |
print(g) | |
return GraphViz.load(open(f)) | |
end | |
# ╔═╡ 4edeed1c-8c51-49d1-ab14-89d94fb57765 | |
build_dot(o) | |
# ╔═╡ 6f076a8c-8c62-42cc-9de5-e7bcac4085cc | |
exp(1) | |
# ╔═╡ Cell order: | |
# ╠═8d04e8a2-5a40-11ee-1678-757abfdac18b | |
# ╠═5d70a89c-7ff3-401d-99cf-85a342d4a0cd | |
# ╠═db7e8ffc-cb6a-4ec3-bcaa-d580fb6c6bfa | |
# ╠═81d6ade0-65d4-4095-8830-6b1b3e149885 | |
# ╠═0be221b7-934e-4071-a926-04fee18ad5ad | |
# ╠═086bace9-76e9-472f-ade8-1d707e309ef5 | |
# ╟─9d7b2fcb-7155-4636-97f6-4401b6f561af | |
# ╟─bb0f7b4b-4852-4f7d-b388-b61b01cc3217 | |
# ╟─7e2d392f-d373-4e88-b81d-72ec2a8b4392 | |
# ╠═4edeed1c-8c51-49d1-ab14-89d94fb57765 | |
# ╠═6f076a8c-8c62-42cc-9de5-e7bcac4085cc |
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