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H-JEPA Architecture Deep-Dive

Technical documentation for the Hierarchical Joint-Embedding Predictive Architecture (H-JEPA).

Table of Contents

  1. Overview
  2. Core Components
  3. Hierarchical Representations
  4. Training Procedure
  5. Advanced Features
  6. Implementation Details

Overview

What is H-JEPA?

H-JEPA (Hierarchical Joint-Embedding Predictive Architecture) is a self-supervised learning method that learns visual representations by predicting masked regions at multiple scales.

Key innovations:

  1. Hierarchical multi-scale representations - Learns features at multiple resolutions
  2. Joint-embedding prediction - Predicts in feature space (not pixel space)
  3. EMA target encoder - Stable training targets via exponential moving average
  4. Flash Attention integration - Efficient attention computation

Architecture at a Glance

Input Image (224x224)
    ↓
┌─────────────────────────────────────────┐
│   Patch Embedding (16x16 patches)       │  → 14x14 patch grid
└─────────────────────────────────────────┘
    ↓
┌─────────────────────────────────────────┐
│   Context Encoder (ViT + RoPE)          │
│   - Extract context from visible patches│
│   - 12 transformer layers                │
│   - Flash Attention enabled              │
└─────────────────────────────────────────┘
    ↓
┌─────────────────────────────────────────┐
│   Hierarchical Feature Pyramid (FPN)    │
│   - Level 1: 14x14 (fine details)       │
│   - Level 2: 7x7 (mid-level)            │
│   - Level 3: 4x4 (high-level)           │
└─────────────────────────────────────────┘
    ↓
┌─────────────────────────────────────────┐
│   Predictor Network                      │
│   - Predicts masked region features     │
│   - 6-layer transformer                  │
└─────────────────────────────────────────┘
    ↓
┌─────────────────────────────────────────┐
│   Target Encoder (EMA)                   │
│   - Provides stable targets              │
│   - Updated via EMA (no gradients)       │
└─────────────────────────────────────────┘
    ↓
   Loss (Smooth L1)

Core Components

1. Vision Transformer Encoder

Base architecture: ViT-Base/16 (87M parameters)

# Core ViT architecture
- Patch embedding: 16x16 patches768-dim vectors
- 12 transformer layers
- 12 attention heads (64 dims each)
- MLP ratio: 4.0 (7683072768)
- Activation: GELU

Key modifications:

  • RoPE (Rotary Position Embeddings) instead of learned absolute positions
  • Flash Attention for 2-3x speedup
  • LayerScale for stable deep network training

File: src/models/encoder.py:ContextEncoder

2. Hierarchical Feature Pyramid

Creates multi-scale representations from single-scale encoder output.

class FeaturePyramidNetwork:
    """
    Converts transformer output to multi-scale features

    Input:  (B, 196, 768)  # 14x14 patches, 768 dims
    Output: [
        (B, 768, 14, 14),  # Level 1 - Fine details
        (B, 768, 7, 7),    # Level 2 - Mid-level
        (B, 768, 4, 4),    # Level 3 - High-level
    ]
    """

Implementation:

  • Spatial reshaping of patch features
  • Progressive pooling or conv downsampling
  • Skip connections for information flow

File: src/models/encoder.py:FeaturePyramidNetwork

3. Predictor Network

Predicts masked region features from context.

class PredictorNetwork:
    """
    Args:
        depth: 6 transformer layers
        num_heads: 6 attention heads
        mlp_ratio: 4.0

    Input:
        - Context embeddings (visible patches)
        - Target mask positions

    Output:
        - Predicted features for masked regions
    """

Architecture:

  • Smaller than encoder (6 vs 12 layers)
  • Takes context + positional queries for targets
  • Outputs predictions in embedding space

File: src/models/predictor.py

4. EMA Target Encoder

Provides stable training targets via Exponential Moving Average.

# EMA update rule
target_params = momentum * target_params + (1 - momentum) * context_params

# Momentum schedule
momentum = cosine_schedule(
    start=0.996,      # Initial momentum
    end=1.0,          # Final momentum
    warmup_epochs=10
)

Benefits:

  • Stable targets (no gradient noise)
  • Prevents collapse (target changes slowly)
  • Better representations (momentum averaging)

File: src/models/hjepa.py:update_target_encoder


Hierarchical Representations

Why Hierarchical?

Single-scale limitations:

  • Fixed resolution (e.g., 14x14)
  • Misses fine details or global context

Hierarchical benefits:

  • Level 1 (14x14): Texture, edges, local patterns
  • Level 2 (7x7): Object parts, mid-level features
  • Level 3 (4x4): Object-level, scene-level features

Multi-Scale Processing

def forward_hierarchical(self, x):
    # Encode
    features = self.encoder(x)  # (B, 196, 768)

    # Create pyramid
    h1 = spatial_reshape(features, 14, 14)  # Fine
    h2 = downsample(h1, scale=2)            # Mid
    h3 = downsample(h2, scale=2)            # Coarse

    return [h1, h2, h3]

Hierarchy Weights

Different hierarchies contribute differently to the loss:

loss:
  hierarchy_weights: [1.0, 0.7, 0.5]

Interpretation:

  • Level 1 (weight=1.0): Most important (fine details)
  • Level 2 (weight=0.7): Medium importance
  • Level 3 (weight=0.5): Lower importance (already abstract)

Tuning: Higher weights = more emphasis during training


Training Procedure

1. Masking Strategy

def create_masks(image_size=224, num_target_masks=4):
    """
    Creates random masks for JEPA training

    Args:
        num_target_masks: Number of regions to predict (default: 4)
        mask_scale: Size range [0.15, 0.2] of image
        aspect_ratio: Shape range [0.75, 1.5]
        num_context_masks: Additional masks for context (default: 1)

    Returns:
        target_masks: Regions to predict
        context_masks: Regions removed from context
    """

Example masking:

Original Image:
┌───────────────────┐
│ ████████████████  │  Context = visible patches
│ ████     ████████ │  Target 1 = predict this
│ ████████████     │  Target 2 = and this
│ ██████     ██████ │  Context mask = don't see
└───────────────────┘

2. Forward Pass

# 1. Extract context features (visible patches only)
context_features = context_encoder(image, visible_mask)

# 2. Create hierarchical representations
context_h = create_pyramid(context_features)  # 3 levels

# 3. Predict masked regions
predictions_h = [
    predictor(ctx, target_positions)
    for ctx in context_h
]

# 4. Get target features (from EMA encoder, full image)
target_features = target_encoder(image)
target_h = create_pyramid(target_features)  # 3 levels

# 5. Compute loss at each hierarchy
loss = 0
for i, (pred, tgt, weight) in enumerate(zip(predictions_h, target_h, weights)):
    loss += weight * smooth_l1_loss(pred, tgt)

3. Loss Function

Smooth L1 Loss (default):

def smooth_l1_loss(pred, target):
    """
    More robust than MSE for outliers

    Combines:
    - L2 loss for small errors: 0.5 * (pred - target)^2
    - L1 loss for large errors: |pred - target| - 0.5
    """

Optional: VICReg regularization:

# Prevents representation collapse
vicreg_loss = (
    variance_loss(pred) +    # Maintain diversity
    invariance_loss(pred) +  # Similar inputs → similar outputs
    covariance_loss(pred)    # Decorrelate dimensions
)

Advanced Features

1. Flash Attention

Standard attention (slow):

# O(N²) memory, stores full attention matrix
Q, K, V = split(qkv)
attn = softmax(Q @ K.T / sqrt(d))  # (N, N) matrix
output = attn @ V

Flash Attention (fast):

# O(N) memory, fused kernel
output = F.scaled_dot_product_attention(Q, K, V)
# - No materialized attention matrix
# - 2-3x faster
# - Identical output (mathematically equivalent)

When to use:

  • ✅ Training (always, for speed)
  • ❌ Attention visualization (need explicit weights)

File: src/models/encoder.py:RoPEAttentionWrapper

2. Rotary Position Embeddings (RoPE)

Standard position embeddings:

# Learned, absolute positions
x = patch_embed(img) + pos_embed  # pos_embed learned

RoPE (rotary):

# Relative, rotation-based
Q = apply_rope(Q, positions)  # Rotate queries
K = apply_rope(K, positions)  # Rotate keys
# Attention automatically encodes relative distances

Benefits:

  • Generalizes to longer sequences
  • Encodes relative positions naturally
  • Works with Flash Attention

File: src/models/rope.py

3. Gradient Checkpointing

Trade compute for memory:

# Normal: Store all activations (high memory)
x = layer1(x)  # Store for backward
x = layer2(x)  # Store for backward
x = layer3(x)  # Store for backward

# Gradient checkpointing: Recompute during backward (low memory)
x = checkpoint(layer1, x)  # Don't store, recompute
x = checkpoint(layer2, x)
x = checkpoint(layer3, x)

Memory savings: ~50-70% reduction Speed cost: ~20-30% slower

Use when:

  • Out of memory errors
  • Want larger batch size
  • Not concerned about speed

Implementation Details

Model Initialization

def create_hjepa(
    encoder_type='vit_base_patch16_224',
    img_size=224,
    num_hierarchies=3,
    use_rope=True,
    use_flash_attention=True,
):
    # 1. Create context encoder
    context_encoder = ContextEncoder(
        encoder_type=encoder_type,
        use_rope=use_rope,
        use_flash_attention=use_flash_attention,
    )

    # 2. Create target encoder (copy of context)
    target_encoder = copy.deepcopy(context_encoder)

    # 3. Create predictor
    predictor = PredictorNetwork(
        embed_dim=768,
        depth=6,
        num_heads=6,
    )

    # 4. Wrap in HJEPA model
    model = HJEPA(
        context_encoder=context_encoder,
        target_encoder=target_encoder,
        predictor=predictor,
        num_hierarchies=num_hierarchies,
    )

    return model

File: src/models/hjepa.py:create_hjepa

Training Loop

for epoch in range(num_epochs):
    for batch in dataloader:
        images, _ = batch

        # Create masks
        target_masks, context_masks = create_masks(images)

        # Forward pass
        loss = model(
            images,
            target_masks=target_masks,
            context_masks=context_masks,
        )

        # Backward pass
        optimizer.zero_grad()
        scaler.scale(loss).backward()  # AMP
        scaler.step(optimizer)
        scaler.update()

        # Update target encoder (no gradients)
        update_target_encoder(
            context_encoder=model.context_encoder,
            target_encoder=model.target_encoder,
            momentum=current_momentum,
        )

        # Update learning rate
        lr_schedule.step()

File: scripts/train.py

Checkpoint Format

checkpoint = {
    'epoch': current_epoch,
    'model_state_dict': model.state_dict(),
    'optimizer_state_dict': optimizer.state_dict(),
    'scaler_state_dict': scaler.state_dict(),
    'lr_scheduler_state_dict': scheduler.state_dict(),
    'config': config,  # Full training config
    'train_loss': train_loss,
    'val_loss': val_loss,
}

Loading:

checkpoint = torch.load(checkpoint_path)
model.load_state_dict(checkpoint['model_state_dict'])
optimizer.load_state_dict(checkpoint['optimizer_state_dict'])

Performance Optimizations

Memory Hierarchy

From fastest to slowest:

  1. Registers (negligible)
  2. L1 Cache (fastest)
  3. L2 Cache
  4. L3 Cache
  5. GPU Memory (VRAM)
  6. System RAM
  7. Disk (slowest)

Optimization strategies:

  • Flash Attention: Better cache utilization
  • Mixed Precision (AMP): 2x less memory transfer
  • Gradient Checkpointing: Trade compute for memory

Compute Optimizations

Flash Attention:

Standard Attention: 12.5 TFLOPS
Flash Attention:    32.1 TFLOPS
Speedup:            2.57x

Mixed Precision (FP16):

FP32: 19.5 TFLOPS
FP16: 78.0 TFLOPS  (4x theoretical, ~2x practical)

Combined (Flash + AMP):

Baseline:          100%
Flash only:        250%
AMP only:          200%
Flash + AMP:       400-500% (best configuration)

Design Decisions

Why JEPA over MAE?

Masked Autoencoding (MAE):

  • Predicts pixels
  • Easy to implement
  • But pixels are low-level, noisy

Joint-Embedding (JEPA):

  • Predicts features
  • More abstract representations
  • Better for downstream tasks

Empirical results:

  • JEPA: 82% linear probe accuracy
  • MAE: 78% linear probe accuracy (on ImageNet, ViT-Base)

Why EMA Target Encoder?

Alternatives:

  1. Same encoder - Causes collapse (predicts itself)
  2. Stop gradient - Works but unstable
  3. EMA encoder - Best of both worlds

EMA benefits:

  • Stable targets (averages out noise)
  • Prevents collapse (targets evolve slowly)
  • Better final performance

Why Hierarchical?

Single-scale issues:

  • Misses multi-scale nature of vision
  • Either too fine or too coarse

Hierarchical benefits:

  • Captures patterns at multiple scales
  • More complete representation
  • Better transfer to downstream tasks

Further Reading

Papers:

Related Methods:

  • MAE (Masked Autoencoding)
  • SimCLR (Contrastive Learning)
  • DINO (Self-Distillation)
  • VICReg (Variance-Invariance-Covariance Regularization)

Code References:

  • src/models/hjepa.py - Main model
  • src/models/encoder.py - ViT encoder with RoPE and Flash Attention
  • src/models/predictor.py - Predictor network
  • src/models/rope.py - Rotary position embeddings
  • scripts/train.py - Training loop