NFM Tutorial: Neural Factorization Machine

NFM Tutorial: Neural Factorization Machine#

Sandbox Model — Experimental

This model is part of the CoreRec Sandbox — an experimental collection of algorithms for research and exploration. Sandbox models are not production-tested and may have incomplete implementations. For production-ready models, see the Production Models.

Introduction#

NFM seamlessly combines the linearity of FM with the non-linearity of neural networks using a Bi-Interaction pooling layer.

Paper: He et al. 2017 - Neural Factorization Machines for Sparse Predictive Analytics

How NFM Works#

Architecture#

Bi-Interaction Layer:

  1. Embedding: Sparse features to dense vectors

  2. Bi-Interaction: Element-wise product of embedding pairs (pooling)

  3. Hidden Layers: MLP to learn high-order non-linear interactions

  4. Prediction: Linear part + Neural part

Key Innovation: Bi-Interaction layer captures 2nd-order interactions before deep layers

Architecture:

Embeddings -> Bi-Interaction Pooling -> MLP -> Prediction

Mathematical Foundation#

Bi-Interaction Pooling:

f_BI(V_x) = Σ_i Σ_{j>i} x_i v_i ⊙ x_j v_j
          = 0.5 * [(Σ x_i v_i)^2 - Σ (x_i v_i)^2]

Linear time complexity O(k)!

Model Prediction:

ŷ = w_0 + Σ w_i x_i + h^T σ_L(...σ_1(f_BI(V_x))...)

Reference Implementation#

Implementation Note

The code examples below are reference implementations for learning purposes. This is a sandbox model and has not been production-tested. Verify behavior thoroughly before using in production.

Step 1: Import and Load Data#

from corerec.sandbox.collaborative_full.nn_base.NFM_base import NFM_base as NFM
from cr_learn import ml_1m
from sklearn.model_selection import train_test_split
import numpy as np

# Load dataset with CORRECT API
data = ml_1m.load()  # Returns dict with 'ratings', 'users', 'movies'
ratings_df = data['ratings']  # DataFrame with user_id, movie_id, rating, timestamp

print(f"Loaded {len(ratings_df)} ratings")

# Split data
train_df, test_df = train_test_split(ratings_df, test_size=0.2, random_state=42)

# Extract arrays for model
train_users = train_df['user_id'].values
train_items = train_df['movie_id'].values
train_ratings = train_df['rating'].values

test_users = test_df['user_id'].values
test_items = test_df['movie_id'].values
test_ratings = test_df['rating'].values

Step 2: Initialize Model#

model = NFM(
    name="NFM_Model",
    embedding_dim=64,
    hidden_units=[128, 64],
    dropout=0.2,
    epochs=20,
    batch_size=256,
    learning_rate=0.001,
    verbose=True
)

print(f"Initialized {model.name}")

Step 3: Train#

model.fit(
    user_ids=train_users,
    item_ids=train_items,
    ratings=train_ratings
)

print("Training complete!")

Step 4: Predict#

# Single prediction
score = model.predict(user_id=1, item_id=100)
print(f"Predicted score: {score:.3f}")

# Batch predictions
test_predictions = model.batch_predict(list(zip(test_users[:100], test_items[:100])))

Step 5: Recommend#

# Get top-10 recommendations for user
user_id = 1
recommendations = model.recommend(
    user_id=user_id,
    top_k=10
)

print(f"Top-10 recommendations for User {user_id}:")
for rank, item_id in enumerate(recommendations, 1):
    print(f"  {rank}. Item {item_id}")

Step 6: Evaluate#

from sklearn.metrics import mean_squared_error
import numpy as np

# Predict all test ratings
test_pred = [model.predict(u, i) for u, i in zip(test_users, test_items)]
rmse = np.sqrt(mean_squared_error(test_ratings, test_pred))
print(f"Test RMSE: {rmse:.4f}")

Step 7: Save & Load#

# Save model
model.save('artifacts/nfm_model')

# Load model
loaded = NFM.load('artifacts/nfm_model')
test_score = loaded.predict(1, 100)
print(f"Loaded model prediction: {test_score:.3f}")

Key Takeaways#

When to Use NFM#

✅ Perfect For:

  • Sparse predictive analytics

  • CTR prediction

  • Capturing high-order feature interactions

  • When FM is not expressive enough

  • General replacement for FM/DeepFM

❌ Not For:

  • Dense numerical data only

  • Sequential data

  • Image/Audio inputs

Best Practices#

  1. Dropout: Essential after Bi-Interaction layer

  2. Batch Norm: Helpful in MLP layers

  3. Activation: ReLU or SeLU

  4. Optimizer: Adam or Adagrad

  5. Embedding Dim: 32-64

Scaling & Production Considerations#

If you plan to move this sandbox model toward production use, consider:

  • Data Volume: Test with realistic dataset sizes; sandbox implementations may not be optimized for large-scale data.

  • Distributed Training: For datasets exceeding single-machine memory, consider wrapping the model in distributed training frameworks (e.g., PyTorch DDP, Horovod).

  • Hyperparameter Tuning: Use systematic search (Optuna, Ray Tune) rather than manual tuning. The defaults in sandbox models are not tuned for any specific domain.

  • Serving Latency: Profile inference time. Some architectures (e.g., attention-based) may need quantization or ONNX export for low-latency serving.

  • Monitoring: Implement A/B testing and online metrics (CTR, engagement, diversity) before replacing an existing system.

  • Validation: Write comprehensive unit tests and integration tests before deploying. Sandbox models do not have CI coverage.

Further Reading#

  • Paper: He et al. 2017 - Neural Factorization Machines for Sparse Predictive Analytics

  • GitHub Repository

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