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// SPDX-License-Identifier: MIT OR Apache-2.0
//! Optimizers for neural network training.
//!
//! Provides SGD with Nesterov momentum and Adam, matching sklearn defaults.
/// Available optimizer algorithms.
#[derive(Debug, Clone, Copy, PartialEq)]
#[cfg_attr(feature = "serde", derive(serde::Serialize, serde::Deserialize))]
#[non_exhaustive]
pub enum OptimizerKind {
/// Stochastic gradient descent with optional Nesterov momentum.
Sgd {
/// Momentum coefficient (0.0 = no momentum). Default: 0.9.
momentum: f64,
/// Use Nesterov accelerated gradient. Default: true.
nesterov: bool,
},
/// Adaptive moment estimation (Adam).
///
/// Defaults: β₁=0.9, β₂=0.999, ε=1e-8.
Adam {
/// Exponential decay rate for first moment. Default: 0.9.
beta1: f64,
/// Exponential decay rate for second moment. Default: 0.999.
beta2: f64,
/// Small constant for numerical stability. Default: 1e-8.
epsilon: f64,
},
}
impl Default for OptimizerKind {
fn default() -> Self {
Self::Adam {
beta1: crate::constants::ADAM_BETA1,
beta2: crate::constants::ADAM_BETA2,
epsilon: crate::constants::ADAM_EPSILON,
}
}
}
impl OptimizerKind {
/// SGD with default momentum (0.9, Nesterov).
pub fn sgd() -> Self {
Self::Sgd {
momentum: crate::constants::SGD_MOMENTUM,
nesterov: true,
}
}
}
/// Learning rate schedule for neural network training.
///
/// Controls how the learning rate changes over epochs.
#[derive(Debug, Clone, Copy, PartialEq, Default)]
#[cfg_attr(feature = "serde", derive(serde::Serialize, serde::Deserialize))]
#[non_exhaustive]
pub enum LearningRateSchedule {
/// Fixed learning rate throughout training. Default.
#[default]
Constant,
/// Reduce learning rate by `factor` when loss plateaus for `patience` epochs.
///
/// Matches sklearn's `learning_rate='adaptive'` behavior.
Adaptive {
/// Multiplicative factor to reduce LR (default: 0.2).
factor: f64,
/// Number of plateau epochs before reducing (default: 10).
patience: usize,
},
/// Inverse scaling: `lr(t) = initial_lr / t^power`.
InvScaling {
/// Exponent for inverse scaling (default: 0.5).
power: f64,
},
}
impl LearningRateSchedule {
/// Adaptive schedule with sklearn-like defaults (factor=0.2, patience=10).
pub fn adaptive() -> Self {
Self::Adaptive {
factor: 0.2,
patience: 10,
}
}
}
/// Per-parameter optimizer state.
///
/// Tracks the moving averages needed by each optimizer algorithm.
pub(crate) struct OptimizerState {
kind: OptimizerKind,
lr: f64,
initial_lr: f64,
t: u64,
// SGD momentum buffers (one per parameter group)
velocity: Vec<Vec<f64>>,
// Adam first moment (mean)
m: Vec<Vec<f64>>,
// Adam second moment (variance)
v: Vec<Vec<f64>>,
// ── Learning rate schedule state ──
schedule: LearningRateSchedule,
best_loss: f64,
plateau_count: usize,
epoch_count: usize,
}
impl OptimizerState {
/// Create a new optimizer state for `n_groups` parameter groups,
/// each with the given sizes.
pub fn new(kind: OptimizerKind, lr: f64, group_sizes: &[usize]) -> Self {
Self::new_with_schedule(kind, lr, group_sizes, LearningRateSchedule::Constant)
}
/// Create a new optimizer state with a learning rate schedule.
pub fn new_with_schedule(
kind: OptimizerKind,
lr: f64,
group_sizes: &[usize],
schedule: LearningRateSchedule,
) -> Self {
let n = group_sizes.len();
let zeros =
|sizes: &[usize]| -> Vec<Vec<f64>> { sizes.iter().map(|&s| vec![0.0; s]).collect() };
Self {
kind,
lr,
initial_lr: lr,
t: 0,
velocity: zeros(group_sizes),
m: if matches!(kind, OptimizerKind::Adam { .. }) {
zeros(group_sizes)
} else {
Vec::with_capacity(n)
},
v: if matches!(kind, OptimizerKind::Adam { .. }) {
zeros(group_sizes)
} else {
Vec::with_capacity(n)
},
schedule,
best_loss: f64::INFINITY,
plateau_count: 0,
epoch_count: 0,
}
}
/// Apply one optimization step to parameter group `idx`.
///
/// `params` are modified in-place. `grads` are the computed gradients.
pub fn step(&mut self, idx: usize, params: &mut [f64], grads: &[f64]) {
debug_assert_eq!(params.len(), grads.len());
debug_assert!(idx < self.velocity.len());
match self.kind {
OptimizerKind::Sgd { momentum, nesterov } => {
self.step_sgd(idx, params, grads, momentum, nesterov);
}
OptimizerKind::Adam {
beta1,
beta2,
epsilon,
} => {
self.step_adam(idx, params, grads, beta1, beta2, epsilon);
}
}
}
/// Increment the global step counter. Call once per mini-batch.
pub fn tick(&mut self) {
self.t += 1;
}
/// Current learning rate (may differ from initial after scheduling).
pub fn current_lr(&self) -> f64 {
self.lr
}
/// Adjust learning rate based on the schedule after each epoch.
///
/// Call this at the end of each epoch with the epoch's average loss.
pub fn adjust_lr(&mut self, epoch_loss: f64) {
self.epoch_count += 1;
match self.schedule {
LearningRateSchedule::Constant => {}
LearningRateSchedule::Adaptive { factor, patience } => {
if epoch_loss < self.best_loss - 1e-10 {
self.best_loss = epoch_loss;
self.plateau_count = 0;
} else {
self.plateau_count += 1;
if self.plateau_count >= patience {
self.lr *= factor;
self.plateau_count = 0;
self.best_loss = epoch_loss;
}
}
}
LearningRateSchedule::InvScaling { power } => {
self.lr = self.initial_lr / (self.epoch_count as f64).powf(power);
}
}
}
fn step_sgd(
&mut self,
idx: usize,
params: &mut [f64],
grads: &[f64],
momentum: f64,
nesterov: bool,
) {
let vel = &mut self.velocity[idx];
let lr = self.lr;
if momentum == 0.0 {
for (p, g) in params.iter_mut().zip(grads.iter()) {
*p -= lr * g;
}
} else if nesterov {
for i in 0..params.len() {
vel[i] = momentum * vel[i] + grads[i];
params[i] -= lr * (grads[i] + momentum * vel[i]);
}
} else {
for i in 0..params.len() {
vel[i] = momentum * vel[i] + grads[i];
params[i] -= lr * vel[i];
}
}
}
fn step_adam(
&mut self,
idx: usize,
params: &mut [f64],
grads: &[f64],
beta1: f64,
beta2: f64,
epsilon: f64,
) {
let lr = self.lr;
let t = self.t.max(1) as f64;
let m = &mut self.m[idx];
let v = &mut self.v[idx];
// Bias correction
let bc1 = 1.0 - beta1.powf(t);
let bc2 = 1.0 - beta2.powf(t);
for i in 0..params.len() {
// Update biased first moment
m[i] = beta1 * m[i] + (1.0 - beta1) * grads[i];
// Update biased second moment
v[i] = beta2 * v[i] + (1.0 - beta2) * grads[i] * grads[i];
// Bias-corrected estimates
let m_hat = m[i] / bc1;
let v_hat = v[i] / bc2;
// Parameter update
params[i] -= lr * m_hat / (v_hat.sqrt() + epsilon);
}
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn sgd_no_momentum() {
let kind = OptimizerKind::Sgd {
momentum: 0.0,
nesterov: false,
};
let mut opt = OptimizerState::new(kind, 0.1, &[3]);
let mut params = vec![1.0, 2.0, 3.0];
let grads = vec![0.5, -0.5, 1.0];
opt.tick();
opt.step(0, &mut params, &grads);
assert!((params[0] - 0.95).abs() < 1e-10);
assert!((params[1] - 2.05).abs() < 1e-10);
assert!((params[2] - 2.9).abs() < 1e-10);
}
#[test]
fn sgd_with_momentum() {
let kind = OptimizerKind::Sgd {
momentum: 0.9,
nesterov: false,
};
let mut opt = OptimizerState::new(kind, 0.01, &[2]);
let mut params = vec![1.0, 2.0];
let grads = vec![1.0, -1.0];
opt.tick();
opt.step(0, &mut params, &grads);
// velocity = 0.9*0 + 1.0 = 1.0, param = 1.0 - 0.01*1.0 = 0.99
assert!((params[0] - 0.99).abs() < 1e-10);
assert!((params[1] - 2.01).abs() < 1e-10);
}
#[test]
fn adam_basic() {
let kind = OptimizerKind::default(); // Adam
let mut opt = OptimizerState::new(kind, 0.001, &[2]);
let mut params = vec![1.0, 2.0];
let grads = vec![0.5, -0.5];
opt.tick();
opt.step(0, &mut params, &grads);
// After one step, params should have moved toward zero gradient
assert!(params[0] < 1.0);
assert!(params[1] > 2.0);
}
#[test]
fn adam_converges_toward_minimum() {
// Minimize f(x) = x^2, gradient = 2x
let kind = OptimizerKind::default();
let mut opt = OptimizerState::new(kind, 0.1, &[1]);
let mut params = vec![5.0];
for _ in 0..500 {
let grads = vec![2.0 * params[0]];
opt.tick();
opt.step(0, &mut params, &grads);
}
assert!(
params[0].abs() < 0.1,
"should converge near 0, got {}",
params[0]
);
}
#[test]
fn multiple_groups() {
let kind = OptimizerKind::default();
let mut opt = OptimizerState::new(kind, 0.001, &[3, 2]);
let mut p1 = vec![1.0, 2.0, 3.0];
let mut p2 = vec![4.0, 5.0];
let g1 = vec![0.1, 0.2, 0.3];
let g2 = vec![0.4, 0.5];
opt.tick();
opt.step(0, &mut p1, &g1);
opt.step(1, &mut p2, &g2);
// Just verify no panic and params changed
assert!(p1[0] < 1.0);
assert!(p2[0] < 4.0);
}
}