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pub mod activation_function;
pub mod cost_function;
pub mod layer;
pub mod optimizer;
use crate::dataset::Dataset;
use ndarray::Array2;
use self::{
activation_function::ActivationFunction, cost_function::CostFunction, layer::Layer,
optimizer::Optimizer,
};
pub struct Network<'a> {
pub layers: Vec<Layer<'a>>,
optimizer: &'a mut dyn Optimizer,
pub shape: &'a [(&'a ActivationFunction, usize)],
pub cost_function: &'a CostFunction,
}
#[allow(non_snake_case)]
impl Network<'_> {
pub fn new<'a>(
shape: &'a [(&ActivationFunction, usize)],
optimizer: &'a mut dyn Optimizer,
cost_function: &'a CostFunction,
) -> Network<'a> {
let mut layers = Vec::new();
for i in 0..shape.len() - 1 {
let (activation_function, input_size) = shape[i];
let (_, output_size) = shape[i + 1];
layers.push(Layer::new(input_size, output_size, activation_function));
}
optimizer.initialize(&layers);
Network {
layers,
optimizer,
shape,
cost_function,
}
}
pub fn predict(&self, input: &Array2<f64>) -> Array2<f64> {
let mut output = input.clone();
for layer in &self.layers {
output = layer.predict(&output);
}
output
}
pub fn backprop(
&self,
X: &Array2<f64>,
y: &Array2<f64>,
) -> (Vec<Array2<f64>>, Vec<Array2<f64>>) {
let mut nabla_bs = Vec::new();
let mut nabla_ws = Vec::new();
let mut activation = X.clone();
let mut activations = vec![activation.clone()];
let mut zs = Vec::new();
for layer in &self.layers {
let z = layer.forward(&activation);
zs.push(z.clone());
activation = layer.activation.function(&z);
activations.push(activation.clone());
}
let nabla_c = self.cost_function.cost_derivative(&activation, &y);
let sig_prime = self.layers[self.layers.len() - 1]
.activation
.derivative(&zs[zs.len() - 1]);
let mut delta = nabla_c * sig_prime;
nabla_bs.push(delta.clone());
nabla_ws.push((&activations[activations.len() - 2]).t().dot(&delta));
for i in 2..self.shape.len() {
let sig_prime = self.layers[self.layers.len() - i]
.activation
.derivative(&zs[zs.len() - i]);
let nabla_c = &delta.dot(&self.layers[self.layers.len() - i + 1].weights.t());
delta = nabla_c * sig_prime;
nabla_bs.push(delta.clone());
nabla_ws.push((&activations[activations.len() - i - 1].t()).dot(&delta));
}
nabla_bs.reverse();
nabla_ws.reverse();
let batch_size = X.nrows() as f64;
for (nabla_b, nabla_w) in nabla_bs.iter_mut().zip(nabla_ws.iter_mut()) {
*nabla_b = nabla_b
.sum_axis(ndarray::Axis(0))
.into_shape((1, nabla_b.ncols()))
.unwrap();
*nabla_b /= batch_size;
*nabla_w /= batch_size;
}
(nabla_bs, nabla_ws)
}
pub fn train_minibatch(&mut self, (X, y): &(Array2<f64>, Array2<f64>)) {
let (nabla_bs, nabla_ws) = self.backprop(X, y);
self.optimizer.pre_update();
self.optimizer
.update_params(&mut self.layers, &nabla_bs, &nabla_ws);
self.optimizer.post_update();
}
pub fn train_and_log(
&mut self,
data: &Dataset,
batch_size: usize,
verification_samples: usize,
epochs: i32,
) -> Vec<(i32, f64)> {
let mut cost_history = Vec::new();
for epoch in 0..epochs {
self.train_minibatch(&data.get_batch(batch_size));
if epoch % (epochs / 100 + 1) == 0 {
let cost = self.eval(data, verification_samples);
cost_history.push((epoch, cost));
println!("Epoch: {}, Cost: {:.8}", epoch, cost);
}
}
cost_history
}
pub fn eval(&self, data: &Dataset, sample_size: usize) -> f64 {
let (x, y) = data.get_batch(sample_size);
let prediction = self.predict(&x);
let cost = self.cost_function.cost(&prediction, &y);
cost
}
pub fn predict_unit_square(&self, resolution: usize) -> ((usize, usize), Vec<Vec<f64>>) {
let unit_square = Dataset::get_2d_unit_square(resolution);
let pred = self.predict(&unit_square);
let res = pred
.lanes(ndarray::Axis(1))
.into_iter()
.map(|x| x.to_vec())
.collect();
((resolution, resolution), res)
}
}
pub trait Summary {
fn summerize(&self) -> String;
}
impl Summary for Network<'_> {
fn summerize(&self) -> String {
let shape = self.shape.iter().map(|x| x.1).collect::<Vec<_>>();
format!("{}_{:?}", self.optimizer.summerize(), shape).replace(" ", "")
}
}