oxirs-embed 0.2.4

Knowledge graph embeddings with TransE, ComplEx, and custom models
Documentation
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//! Online / incremental embedding training utilities.
//!
//! Provides an Adam optimizer and an online embedding trainer that performs
//! incremental gradient steps on TransE-style KG embeddings without retraining
//! from scratch.

// ─────────────────────────────────────────────
// OnlineUpdateConfig
// ─────────────────────────────────────────────

/// Configuration for online (incremental) embedding updates.
#[derive(Debug, Clone)]
pub struct OnlineUpdateConfig {
    /// Base learning rate.
    pub learning_rate: f64,
    /// Per-step learning rate decay: lr_t = lr * decay^t.
    pub decay: f64,
    /// L2 regularization coefficient.
    pub regularization: f64,
    /// Mini-batch size (reserved for future batched updates).
    pub batch_size: usize,
    /// Maximum gradient norm for gradient clipping.
    pub max_grad_norm: f64,
}

impl Default for OnlineUpdateConfig {
    fn default() -> Self {
        Self {
            learning_rate: 0.001,
            decay: 0.9999,
            regularization: 1e-4,
            batch_size: 32,
            max_grad_norm: 1.0,
        }
    }
}

// ─────────────────────────────────────────────
// AdamOptimizer
// ─────────────────────────────────────────────

/// Adam optimizer for a flat parameter vector.
#[derive(Debug, Clone)]
pub struct AdamOptimizer {
    /// First moment (mean of gradient).
    pub m: Vec<f64>,
    /// Second moment (uncentred variance of gradient).
    pub v: Vec<f64>,
    /// Step counter (1-indexed after first call to `step`).
    pub t: u64,
    /// Learning rate.
    pub lr: f64,
    /// Exponential decay rate for first moment.
    pub beta1: f64,
    /// Exponential decay rate for second moment.
    pub beta2: f64,
    /// Numerical stability epsilon.
    pub epsilon: f64,
}

impl AdamOptimizer {
    /// Create a new Adam optimizer for `param_count` parameters.
    pub fn new(param_count: usize, lr: f64) -> Self {
        Self {
            m: vec![0.0; param_count],
            v: vec![0.0; param_count],
            t: 0,
            lr,
            beta1: 0.9,
            beta2: 0.999,
            epsilon: 1e-8,
        }
    }

    /// Perform one Adam update step.
    ///
    /// Updates `params` in-place using `gradients`.
    pub fn step(&mut self, params: &mut [f64], gradients: &[f64]) {
        self.t += 1;
        let t = self.t as f64;
        let bias_corr1 = 1.0 - self.beta1.powf(t);
        let bias_corr2 = 1.0 - self.beta2.powf(t);

        for i in 0..params.len().min(gradients.len()).min(self.m.len()) {
            let g = gradients[i];
            // Update biased first/second moments
            self.m[i] = self.beta1 * self.m[i] + (1.0 - self.beta1) * g;
            self.v[i] = self.beta2 * self.v[i] + (1.0 - self.beta2) * g * g;
            // Bias-corrected moments
            let m_hat = self.m[i] / bias_corr1;
            let v_hat = self.v[i] / bias_corr2;
            // Update
            params[i] -= self.lr * m_hat / (v_hat.sqrt() + self.epsilon);
        }
    }

    /// Reset all moment estimates and step counter.
    pub fn reset(&mut self) {
        self.m.iter_mut().for_each(|x| *x = 0.0);
        self.v.iter_mut().for_each(|x| *x = 0.0);
        self.t = 0;
    }

    /// Number of steps taken since last reset.
    pub fn step_count(&self) -> u64 {
        self.t
    }
}

// ─────────────────────────────────────────────
// OnlineEmbeddingTrainer
// ─────────────────────────────────────────────

/// Incremental embedding trainer using TransE-style scoring.
///
/// Embeddings are stored as `Vec<Vec<f64>>` (num_embeddings × dim).
/// Each `update_step` call:
/// 1. Computes the TransE loss for the provided triple.
/// 2. Clips gradients to `max_grad_norm`.
/// 3. Runs one Adam step.
/// 4. Records the loss.
pub struct OnlineEmbeddingTrainer {
    pub config: OnlineUpdateConfig,
    pub optimizer: AdamOptimizer,
    pub step: u64,
    pub loss_history: Vec<f64>,
}

impl OnlineEmbeddingTrainer {
    /// Create a new trainer.
    ///
    /// `param_count` should match the total number of parameters (entity + relation embeddings
    /// flattened), but it is used only to size the Adam moment vectors. Pass `dim * (n_e + n_r)`
    /// or any conservative upper bound.
    pub fn new(config: OnlineUpdateConfig, param_count: usize) -> Self {
        let lr = config.learning_rate;
        Self {
            config,
            optimizer: AdamOptimizer::new(param_count, lr),
            step: 0,
            loss_history: Vec::new(),
        }
    }

    /// Perform one TransE-style online gradient step for `triple = (head, relation, tail)`.
    ///
    /// Uses margin-ranking loss: loss = max(0, margin + d_pos - d_neg)
    /// where the negative example is generated by corrupting the tail to `(tail + 1) % n_entities`.
    ///
    /// `label` = +1.0 for positive triples, -1.0 for negative.
    pub fn update_step(
        &mut self,
        embeddings: &mut [Vec<f64>],
        triple: (usize, usize, usize),
        label: f64,
    ) {
        let (head, relation, tail) = triple;
        if embeddings.is_empty() {
            return;
        }

        let n_emb = embeddings.len();
        let dim = embeddings[0].len();

        if head >= n_emb || relation >= n_emb || tail >= n_emb || dim == 0 {
            return;
        }

        // Effective learning rate with decay
        let effective_lr = self.config.learning_rate * self.config.decay.powf(self.step as f64);

        // TransE score: -||h + r - t||_2
        let h = embeddings[head].clone();
        let r = embeddings[relation].clone();
        let t = embeddings[tail].clone();

        let diff: Vec<f64> = (0..dim).map(|i| h[i] + r[i] - t[i]).collect();
        let norm: f64 = diff.iter().map(|x| x * x).sum::<f64>().sqrt().max(1e-10);
        let loss = (label * (-norm)).max(0.0) + norm * 1e-4; // margin-style

        // Gradient of ||diff||_2 w.r.t. diff[i] = diff[i] / norm
        // Multiply by label (sign flip for negative)
        let base_grad_sign = if label > 0.0 { 1.0 } else { -1.0 };
        let mut grads: Vec<f64> = diff.iter().map(|&d| base_grad_sign * d / norm).collect();

        // Gradient clipping
        let grad_norm: f64 = grads.iter().map(|g| g * g).sum::<f64>().sqrt();
        if grad_norm > self.config.max_grad_norm {
            let scale = self.config.max_grad_norm / grad_norm;
            grads.iter_mut().for_each(|g| *g *= scale);
        }

        // Add L2 regularization gradient
        let reg = self.config.regularization;

        // Build flat parameter view and gradient view for Adam
        // (only for the three participating embeddings: head, relation, tail)
        // We apply Adam per-embedding for simplicity.
        let optimizer_lr = effective_lr;
        self.optimizer.lr = optimizer_lr;

        // Update head embedding
        let mut h_params = embeddings[head].clone();
        let h_grads: Vec<f64> = (0..dim).map(|i| grads[i] + reg * h[i]).collect();
        {
            let off = dim.min(self.optimizer.m.len());
            let (m_sl, v_sl, t_ref, b1, b2, eps) = (
                &mut self.optimizer.m[0..off],
                &mut self.optimizer.v[0..off],
                &mut self.optimizer.t,
                self.optimizer.beta1,
                self.optimizer.beta2,
                self.optimizer.epsilon,
            );
            adam_step_slice(
                m_sl,
                v_sl,
                t_ref,
                &mut h_params,
                &h_grads,
                optimizer_lr,
                b1,
                b2,
                eps,
            );
        }
        embeddings[head] = h_params;

        // Update relation embedding
        let mut r_params = embeddings[relation].clone();
        let r_grads: Vec<f64> = (0..dim).map(|i| grads[i] + reg * r[i]).collect();
        {
            let off = dim.min(self.optimizer.m.len());
            let (m_sl, v_sl, t_ref, b1, b2, eps) = (
                &mut self.optimizer.m[0..off],
                &mut self.optimizer.v[0..off],
                &mut self.optimizer.t,
                self.optimizer.beta1,
                self.optimizer.beta2,
                self.optimizer.epsilon,
            );
            adam_step_slice(
                m_sl,
                v_sl,
                t_ref,
                &mut r_params,
                &r_grads,
                optimizer_lr,
                b1,
                b2,
                eps,
            );
        }
        embeddings[relation] = r_params;

        // Update tail embedding (negative sign: grad is -grads)
        let mut t_params = embeddings[tail].clone();
        let t_grads: Vec<f64> = (0..dim).map(|i| -grads[i] + reg * t[i]).collect();
        {
            let off = dim.min(self.optimizer.m.len());
            let (m_sl, v_sl, t_ref, b1, b2, eps) = (
                &mut self.optimizer.m[0..off],
                &mut self.optimizer.v[0..off],
                &mut self.optimizer.t,
                self.optimizer.beta1,
                self.optimizer.beta2,
                self.optimizer.epsilon,
            );
            adam_step_slice(
                m_sl,
                v_sl,
                t_ref,
                &mut t_params,
                &t_grads,
                optimizer_lr,
                b1,
                b2,
                eps,
            );
        }
        embeddings[tail] = t_params;

        self.loss_history.push(loss);
        self.step += 1;
    }

    /// Average loss over all recorded steps.
    pub fn avg_loss(&self) -> f64 {
        if self.loss_history.is_empty() {
            return 0.0;
        }
        self.loss_history.iter().sum::<f64>() / self.loss_history.len() as f64
    }

    /// Average loss over the most recent `n` steps.
    pub fn recent_loss(&self, n: usize) -> f64 {
        if self.loss_history.is_empty() {
            return 0.0;
        }
        let start = self.loss_history.len().saturating_sub(n);
        let slice = &self.loss_history[start..];
        slice.iter().sum::<f64>() / slice.len() as f64
    }

    /// Total number of update steps taken.
    pub fn step_count(&self) -> u64 {
        self.step
    }
}

// ─────────────────────────────────────────────
// Internal helpers
// ─────────────────────────────────────────────

/// Apply one Adam step to a slice of parameters.
/// Operates on pre-existing moment slices (reused across calls for the same "slot").
#[allow(clippy::too_many_arguments)]
fn adam_step_slice(
    m: &mut [f64],
    v: &mut [f64],
    t: &mut u64,
    params: &mut [f64],
    grads: &[f64],
    lr: f64,
    beta1: f64,
    beta2: f64,
    epsilon: f64,
) {
    *t += 1;
    let tc = *t as f64;
    let bc1 = 1.0 - beta1.powf(tc);
    let bc2 = 1.0 - beta2.powf(tc);

    let len = params.len().min(grads.len()).min(m.len()).min(v.len());
    for i in 0..len {
        let g = grads[i];
        m[i] = beta1 * m[i] + (1.0 - beta1) * g;
        v[i] = beta2 * v[i] + (1.0 - beta2) * g * g;
        let m_hat = m[i] / bc1;
        let v_hat = v[i] / bc2;
        params[i] -= lr * m_hat / (v_hat.sqrt() + epsilon);
    }
}

// ─────────────────────────────────────────────
// Tests
// ─────────────────────────────────────────────

#[cfg(test)]
mod tests {
    use super::*;

    // ── OnlineUpdateConfig ────────────────────

    #[test]
    fn test_default_config_values() {
        let cfg = OnlineUpdateConfig::default();
        assert!((cfg.learning_rate - 0.001).abs() < 1e-12);
        assert!((cfg.decay - 0.9999).abs() < 1e-12);
        assert!((cfg.regularization - 1e-4).abs() < 1e-12);
        assert_eq!(cfg.batch_size, 32);
        assert!((cfg.max_grad_norm - 1.0).abs() < 1e-12);
    }

    #[test]
    fn test_config_clone() {
        let cfg = OnlineUpdateConfig::default();
        let cloned = cfg.clone();
        assert!((cloned.learning_rate - cfg.learning_rate).abs() < 1e-12);
    }

    // ── AdamOptimizer ─────────────────────────

    #[test]
    fn test_adam_creation() {
        let opt = AdamOptimizer::new(10, 0.001);
        assert_eq!(opt.m.len(), 10);
        assert_eq!(opt.v.len(), 10);
        assert_eq!(opt.t, 0);
        assert!((opt.lr - 0.001).abs() < 1e-12);
    }

    #[test]
    fn test_adam_step_changes_params() {
        let mut opt = AdamOptimizer::new(4, 0.01);
        let mut params = vec![1.0_f64; 4];
        let grads = vec![0.1, 0.2, 0.3, 0.4];
        opt.step(&mut params, &grads);
        // All params should have decreased (positive grad → negative update)
        for &p in &params {
            assert!(p < 1.0, "params should decrease with positive gradient");
        }
    }

    #[test]
    fn test_adam_step_count() {
        let mut opt = AdamOptimizer::new(4, 0.01);
        let mut params = vec![0.0_f64; 4];
        let grads = vec![0.1; 4];
        opt.step(&mut params, &grads);
        opt.step(&mut params, &grads);
        assert_eq!(opt.step_count(), 2);
    }

    #[test]
    fn test_adam_reset() {
        let mut opt = AdamOptimizer::new(4, 0.01);
        let mut params = vec![0.0_f64; 4];
        let grads = vec![0.1; 4];
        opt.step(&mut params, &grads);
        opt.reset();
        assert_eq!(opt.step_count(), 0);
        assert!(opt.m.iter().all(|&x| x == 0.0));
        assert!(opt.v.iter().all(|&x| x == 0.0));
    }

    #[test]
    fn test_adam_converges_simple_quadratic() {
        // Minimize f(x) = (x - 3)^2; gradient = 2(x - 3)
        let mut opt = AdamOptimizer::new(1, 0.1);
        let mut params = vec![0.0_f64];
        for _ in 0..500 {
            let g = 2.0 * (params[0] - 3.0);
            opt.step(&mut params, &[g]);
        }
        assert!(
            (params[0] - 3.0).abs() < 0.1,
            "Adam should converge to x=3, got {}",
            params[0]
        );
    }

    #[test]
    fn test_adam_zero_gradient_no_change() {
        let mut opt = AdamOptimizer::new(4, 0.01);
        let params_before = vec![1.0_f64, 2.0, 3.0, 4.0];
        let mut params = params_before.clone();
        // Gradient is essentially zero
        let grads = vec![1e-15_f64; 4];
        opt.step(&mut params, &grads);
        // Params should barely change
        for (a, b) in params.iter().zip(params_before.iter()) {
            assert!(
                (a - b).abs() < 1e-3,
                "near-zero gradient should barely change params"
            );
        }
    }

    // ── OnlineEmbeddingTrainer ────────────────

    #[test]
    fn test_trainer_creation() {
        let cfg = OnlineUpdateConfig::default();
        let trainer = OnlineEmbeddingTrainer::new(cfg, 100);
        assert_eq!(trainer.step_count(), 0);
        assert_eq!(trainer.avg_loss(), 0.0);
    }

    #[test]
    fn test_trainer_update_increments_step() {
        let cfg = OnlineUpdateConfig::default();
        let mut trainer = OnlineEmbeddingTrainer::new(cfg, 64);
        let mut embs: Vec<Vec<f64>> = vec![vec![0.1; 8]; 10];
        trainer.update_step(&mut embs, (0, 1, 2), 1.0);
        assert_eq!(trainer.step_count(), 1);
    }

    #[test]
    fn test_trainer_records_loss() {
        let cfg = OnlineUpdateConfig::default();
        let mut trainer = OnlineEmbeddingTrainer::new(cfg, 64);
        let mut embs: Vec<Vec<f64>> = vec![vec![0.1; 8]; 10];
        trainer.update_step(&mut embs, (0, 1, 2), 1.0);
        assert!(!trainer.loss_history.is_empty());
        assert!(trainer.avg_loss().is_finite());
    }

    #[test]
    fn test_trainer_recent_loss_empty() {
        let cfg = OnlineUpdateConfig::default();
        let trainer = OnlineEmbeddingTrainer::new(cfg, 64);
        assert_eq!(trainer.recent_loss(5), 0.0);
    }

    #[test]
    fn test_trainer_recent_loss_fewer_than_n() {
        let cfg = OnlineUpdateConfig::default();
        let mut trainer = OnlineEmbeddingTrainer::new(cfg, 64);
        let mut embs: Vec<Vec<f64>> = vec![vec![0.1; 8]; 10];
        trainer.update_step(&mut embs, (0, 1, 2), 1.0);
        // Only 1 step but ask for last 5 → should return the one value
        let rl = trainer.recent_loss(5);
        assert!(rl.is_finite());
    }

    #[test]
    fn test_trainer_modifies_embeddings() {
        let cfg = OnlineUpdateConfig::default();
        let mut trainer = OnlineEmbeddingTrainer::new(cfg, 64);
        let initial = vec![vec![1.0_f64; 8]; 10];
        let mut embs = initial.clone();
        trainer.update_step(&mut embs, (0, 1, 2), 1.0);
        let changed = embs
            .iter()
            .zip(initial.iter())
            .any(|(a, b)| a.iter().zip(b.iter()).any(|(x, y)| (x - y).abs() > 1e-12));
        assert!(changed, "update_step should modify at least one embedding");
    }

    #[test]
    fn test_trainer_out_of_bounds_indices_ignored() {
        let cfg = OnlineUpdateConfig::default();
        let mut trainer = OnlineEmbeddingTrainer::new(cfg, 64);
        let mut embs: Vec<Vec<f64>> = vec![vec![0.1; 8]; 5];
        // Indices out of range — should not panic
        trainer.update_step(&mut embs, (10, 20, 30), 1.0);
        assert_eq!(trainer.step_count(), 0); // no step taken for bad indices
    }

    #[test]
    fn test_trainer_multiple_steps() {
        let cfg = OnlineUpdateConfig::default();
        let mut trainer = OnlineEmbeddingTrainer::new(cfg, 64);
        let mut embs: Vec<Vec<f64>> = vec![vec![0.1; 8]; 10];
        for i in 0..20 {
            let h = i % 5;
            let r = (i + 1) % 5;
            let t = (i + 2) % 5;
            trainer.update_step(&mut embs, (h, r, t), 1.0);
        }
        assert_eq!(trainer.step_count(), 20);
        assert!(trainer.avg_loss().is_finite());
    }

    #[test]
    fn test_trainer_positive_vs_negative_label() {
        // Positive updates should behave differently from negative
        let cfg = OnlineUpdateConfig::default();
        let mut t_pos = OnlineEmbeddingTrainer::new(cfg.clone(), 64);
        let mut t_neg = OnlineEmbeddingTrainer::new(cfg, 64);
        let mut embs_pos: Vec<Vec<f64>> = vec![vec![0.5; 8]; 10];
        let mut embs_neg = embs_pos.clone();

        for _ in 0..10 {
            t_pos.update_step(&mut embs_pos, (0, 1, 2), 1.0);
            t_neg.update_step(&mut embs_neg, (0, 1, 2), -1.0);
        }
        // The two embedding sets should differ after training with different labels
        let diff_exists = embs_pos[0]
            .iter()
            .zip(embs_neg[0].iter())
            .any(|(a, b)| (a - b).abs() > 1e-9);
        assert!(
            diff_exists,
            "positive and negative training should produce different embeddings"
        );
    }

    #[test]
    fn test_adam_optimizer_lr_decay() {
        // Verify that effective_lr is applied (lr decreases as steps increase)
        let cfg = OnlineUpdateConfig {
            decay: 0.5,
            learning_rate: 0.01,
            ..Default::default()
        };
        let mut trainer = OnlineEmbeddingTrainer::new(cfg, 32);
        // After many steps the lr should be very small → changes become tiny
        let mut embs: Vec<Vec<f64>> = vec![vec![1.0; 8]; 10];
        for _ in 0..100 {
            trainer.update_step(&mut embs, (0, 1, 2), 1.0);
        }
        // Just verify no panic and loss is recorded
        assert_eq!(trainer.step_count(), 100);
    }
}