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//! AdaDelta optimizer
//!
//! AdaDelta is an adaptive learning rate optimizer that doesn't require manually setting a learning rate.
//! It uses exponential moving averages of squared gradients and squared parameter updates.
//!
//! Reference: "ADADELTA: An Adaptive Learning Rate Method" by Matthew D. Zeiler
//! Paper: <https://arxiv.org/abs/1212.5701>
use crate::{optimizer::BaseOptimizer, Optimizer, OptimizerResult, OptimizerState, ParamGroup};
use parking_lot::RwLock;
use std::collections::HashMap;
use std::ops::Add;
use std::sync::Arc;
use torsh_tensor::Tensor;
/// AdaDelta optimizer
///
/// AdaDelta is an extension of AdaGrad that seeks to reduce its aggressive,
/// monotonically decreasing learning rate. Instead of accumulating all past squared gradients,
/// AdaDelta restricts the window of accumulated past gradients to some fixed size.
pub struct AdaDelta {
base: BaseOptimizer,
rho: f32,
eps: f32,
weight_decay: f32,
}
impl AdaDelta {
/// Create a new AdaDelta optimizer
///
/// # Arguments
/// * `params` - Parameters to optimize
/// * `rho` - Coefficient used for computing running averages of squared gradients and squared updates (default: 0.9)
/// * `eps` - Term added to the denominator to improve numerical stability (default: 1e-6)
/// * `weight_decay` - Weight decay (L2 penalty) coefficient (default: 0.0)
pub fn new(
params: Vec<Arc<RwLock<Tensor>>>,
rho: Option<f32>,
eps: Option<f32>,
weight_decay: Option<f32>,
) -> Self {
let rho = rho.unwrap_or(0.9);
let eps = eps.unwrap_or(1e-6);
let weight_decay = weight_decay.unwrap_or(0.0);
let mut defaults = HashMap::new();
defaults.insert("rho".to_string(), rho);
defaults.insert("eps".to_string(), eps);
defaults.insert("weight_decay".to_string(), weight_decay);
// Note: AdaDelta doesn't use a fixed learning rate, so we set it to 1.0
let param_group = ParamGroup::new(params, 1.0);
let base = BaseOptimizer {
param_groups: vec![param_group],
state: HashMap::new(),
optimizer_type: "AdaDelta".to_string(),
defaults,
};
Self {
base,
rho,
eps,
weight_decay,
}
}
/// Builder pattern constructor
pub fn builder() -> AdaDeltaBuilder {
AdaDeltaBuilder::new()
}
}
impl Optimizer for AdaDelta {
fn step(&mut self) -> OptimizerResult<()> {
for group in &mut self.base.param_groups {
for param_arc in &group.params {
let mut param = param_arc.write();
// Check if parameter has gradients
if !param.has_grad() {
continue;
}
let grad = param
.grad()
.expect("gradient should exist after has_grad check");
let param_id = format!("{:p}", param_arc.as_ref());
// Apply weight decay to gradient if specified
let mut grad = grad;
if self.weight_decay != 0.0 {
let weight_decay_term = param.mul_scalar(self.weight_decay)?;
grad = grad.add(&weight_decay_term)?;
}
// Get or initialize optimizer state
let needs_init = !self.base.state.contains_key(¶m_id);
let state = self
.base
.state
.entry(param_id.clone())
.or_insert_with(HashMap::new);
if needs_init {
// Initialize exponential moving average of squared gradients
state.insert(
"square_avg".to_string(),
torsh_tensor::creation::zeros_like(¶m)?,
);
// Initialize exponential moving average of squared parameter updates
state.insert(
"acc_delta".to_string(),
torsh_tensor::creation::zeros_like(¶m)?,
);
}
let mut square_avg = state
.get("square_avg")
.expect("square_avg state should exist")
.clone();
let mut acc_delta = state
.get("acc_delta")
.expect("acc_delta state should exist")
.clone();
// Update exponential moving average of squared gradients
// square_avg = rho * square_avg + (1 - rho) * grad^2
let grad_squared = grad.mul_op(&grad)?;
square_avg.mul_scalar_(self.rho)?;
let grad_term = grad_squared.mul_scalar(1.0 - self.rho)?;
// `add` is non-mutating; reassign so the running average accumulates.
square_avg = square_avg.add(&grad_term)?;
// Compute RMS of gradients
// std = sqrt(square_avg + eps)
let std = square_avg.add_scalar(self.eps)?.sqrt()?;
// Compute RMS of accumulated deltas
// delta_std = sqrt(acc_delta + eps)
let delta_std = acc_delta.add_scalar(self.eps)?.sqrt()?;
// Compute parameter update
// delta = -(delta_std / std) * grad
let delta = grad.mul_op(&delta_std)?.div(&std)?.mul_scalar(-1.0)?;
// Update exponential moving average of squared parameter updates
// acc_delta = rho * acc_delta + (1 - rho) * delta^2
let delta_squared = delta.mul_op(&delta)?;
acc_delta.mul_scalar_(self.rho)?;
let delta_term = delta_squared.mul_scalar(1.0 - self.rho)?;
// `add` is non-mutating; reassign so the running average accumulates.
acc_delta = acc_delta.add(&delta_term)?;
// Apply update to parameter
*param = param.add(&delta)?;
// Update state
state.insert("square_avg".to_string(), square_avg);
state.insert("acc_delta".to_string(), acc_delta);
}
}
Ok(())
}
fn zero_grad(&mut self) {
self.base.zero_grad();
}
fn get_lr(&self) -> Vec<f32> {
self.base.get_lr()
}
fn set_lr(&mut self, lr: f32) {
self.base.set_lr(lr);
}
fn add_param_group(&mut self, params: Vec<Arc<RwLock<Tensor>>>, options: HashMap<String, f32>) {
self.base.add_param_group(params, options);
}
fn parameters(&self) -> Vec<Arc<RwLock<Tensor>>> {
self.base.parameters()
}
fn state_dict(&self) -> OptimizerResult<OptimizerState> {
self.base.state_dict()
}
fn load_state_dict(&mut self, state: OptimizerState) -> OptimizerResult<()> {
self.base.load_state_dict(state)
}
}
/// Builder for AdaDelta optimizer
pub struct AdaDeltaBuilder {
rho: f32,
eps: f32,
weight_decay: f32,
}
impl AdaDeltaBuilder {
pub fn new() -> Self {
Self {
rho: 0.9,
eps: 1e-6,
weight_decay: 0.0,
}
}
/// Set the coefficient for computing running averages of squared gradients and updates
pub fn rho(mut self, rho: f32) -> Self {
self.rho = rho;
self
}
/// Set the term added to the denominator to improve numerical stability
pub fn eps(mut self, eps: f32) -> Self {
self.eps = eps;
self
}
/// Set the weight decay (L2 penalty) coefficient
pub fn weight_decay(mut self, weight_decay: f32) -> Self {
self.weight_decay = weight_decay;
self
}
/// Build the AdaDelta optimizer
pub fn build(self, params: Vec<Arc<RwLock<Tensor>>>) -> AdaDelta {
AdaDelta::new(
params,
Some(self.rho),
Some(self.eps),
Some(self.weight_decay),
)
}
}
impl Default for AdaDeltaBuilder {
fn default() -> Self {
Self::new()
}
}
#[cfg(test)]
mod tests {
use super::*;
use crate::OptimizerResult;
use torsh_core::device::DeviceType;
use torsh_tensor::creation;
#[test]
fn test_adadelta_creation() -> OptimizerResult<()> {
let param1 = Arc::new(RwLock::new(creation::randn::<f32>(&[2, 3])?));
let param2 = Arc::new(RwLock::new(creation::randn::<f32>(&[3, 4])?));
let optimizer = AdaDelta::new(vec![param1, param2], None, None, None);
assert_eq!(optimizer.rho, 0.9);
assert_eq!(optimizer.eps, 1e-6);
assert_eq!(optimizer.weight_decay, 0.0);
Ok(())
}
#[test]
fn test_adadelta_builder() -> OptimizerResult<()> {
let param = Arc::new(RwLock::new(creation::randn::<f32>(&[2, 3])?));
let optimizer = AdaDelta::builder()
.rho(0.95)
.eps(1e-8)
.weight_decay(0.01)
.build(vec![param]);
assert_eq!(optimizer.rho, 0.95);
assert_eq!(optimizer.eps, 1e-8);
assert_eq!(optimizer.weight_decay, 0.01);
Ok(())
}
#[test]
fn test_adadelta_step() -> OptimizerResult<()> {
let mut param = creation::ones(&[2, 2])?.requires_grad_(true);
let original_values = param.to_vec()?;
// Simulate a simple gradient
let grad = creation::ones(&[2, 2])?;
param.set_grad(Some(grad));
let param_arc = Arc::new(RwLock::new(param));
let mut optimizer = AdaDelta::new(vec![param_arc.clone()], Some(0.9), Some(1e-6), None);
// Should not panic
optimizer.step()?;
// Parameter should have been updated
let updated_param = param_arc.read();
let param_values = updated_param.to_vec()?;
// Check that parameters have changed (any change indicates the optimizer is working)
let has_changed = param_values
.iter()
.zip(&original_values)
.any(|(&new, &old)| (new - old).abs() > 1e-10);
assert!(
has_changed,
"Parameters should change after optimization step"
);
Ok(())
}
#[test]
fn test_adadelta_zero_grad() -> OptimizerResult<()> {
let mut param = creation::ones(&[2, 2])?.requires_grad_(true);
param.set_grad(Some(creation::ones(&[2, 2])?));
let param_arc = Arc::new(RwLock::new(param));
let mut optimizer = AdaDelta::new(vec![param_arc.clone()], None, None, None);
optimizer.zero_grad();
// Gradient should be None after zero_grad
assert!(!param_arc.read().has_grad());
Ok(())
}
#[test]
fn test_adadelta_state_dict() -> OptimizerResult<()> {
let param = Arc::new(RwLock::new(creation::randn::<f32>(&[2, 3])?));
let optimizer = AdaDelta::new(vec![param], Some(0.95), Some(1e-8), Some(0.01));
let state_dict = optimizer.state_dict()?;
assert_eq!(state_dict.param_groups.len(), 1);
assert_eq!(state_dict.param_groups[0].lr, 1.0); // AdaDelta uses lr=1.0 internally
Ok(())
}
}