ugradrs is a tiny Autograd engine inspired by Andrej Karpathy's micrograd implemented in Rust. Intended as a personal exploration
of the mechanics of neural networks. The repository allows for the creation of a
DAG of scalar value operations with a small Pytorch-like API wrapper.
Calculate the gradient for a convoluted calculation
use ugradrs::value::Value;
let a = Value::from(-4.0);
let b = Value::from(2.0);
let mut c = a.clone() + b.clone();
let mut d = a.clone() * b.clone() + b.clone().powf(3.0.into());
c += c.clone() + 1.0;
c += c.clone() + 1.0 - a.clone();
d += d.clone() * 2.0 + (b.clone() + a.clone()).relu();
d += d.clone() * 3.0 + (b.clone() - a.clone()).relu();
let e = c.clone() - d.clone();
let f = e.clone().powf(2.0.into());
let mut g = f.clone() / 2.0;
g += Value::from(10.0) / f;
let eps = 10.0_f64.powi(-4);
assert!((g.data() - 24.7041).abs() < eps); // The outcome of the forward pass
// Perform backward propagation of gradient calculation
g.backward();
assert!((a.gradient() - 138.8338).abs() < eps); // dg/da
assert!((b.gradient() - 645.5773).abs() < eps); // dg/dbThe library houses a small API for building simple Multi-Layer Perceptrons (MLPs). Both the Mlp and the SizedLayer
have their input and output dimensions captured in the Rust typing system. This means that mismatches in input data
and consecutive layer sizes are caught at compile time!
use ugradrs::nn::{Mlp, SizedLayer};
// By specifying the size of the hidden layer and the dimensions we ultimately want for the perceptron,
// the correct size of the input and output layers can be determined via the typing system.
let mlp: Mlp<2, 1> = Mlp::from_layer(SizedLayer::new(false)) // Adds a non-linear SizeLayer::<2, 16>
.add_layer(SizedLayer::<16, 16>::new(false))
.add_layer(SizedLayer::new(true)); // Creates a linear SizeLayer::<16, 1>To see it in action, look at the make-moons example
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use ugradrs::draw_dot::draw_dot;
use ugradrs::value::Value;
let x = Value::from(1.0);
let y = (x * 2.0 + 1.0).relu();
y.backward(); // Perform back-propagation to populate gradient fields
draw_dot(y, "relu.dot").expect("Failed to create graph");
Or draw an entire Neuron:
use ugradrs::draw_dot::draw_dot;
use ugradrs::nn::Neuron;
use ugradrs::value::Value;
let n: Neuron<2> = Neuron::new(false);
let y = n.forward([1.0.into(), (-2.0).into()]);
y.backward(); // Perform back-propagation to populate gradient fields
draw_dot(y, "neuron.dot").expect("Failed to create graph");
To try it yourself run:
cargo run --example draw_dot --features draw_graphcargo test