L2 Normalization
The L2 normalization step that normalizes the length of vectors v_u and v_m makes the algorithm work better. TensorFlow has the l2_normalize
function that normalizes the vector, also called normalizing the L2 norm of the vector.
The content-based filtering system uses a user network and a movie network, implemented very similarly to how we have previously implemented neural networks with dense layers.
# User Network - Sequential Modeluser_NN = tf.keras.models.Sequential([ tf.keras.layers.Dense(256, activation='relu'), tf.keras.layers.Dense(128, activation='relu'), tf.keras.layers.Dense(32) # Final layer outputs 32 numbers])
The user network:
# Movie/Item Network - Sequential Modelitem_NN = tf.keras.models.Sequential([ tf.keras.layers.Dense(256, activation='relu'), tf.keras.layers.Dense(128, activation='relu'), tf.keras.layers.Dense(32) # Final layer outputs 32 numbers])
The movie network:
# Extract user input features and compute user vectorinput_user = tf.keras.layers.Input(shape=(num_user_features))vu = user_NN(input_user)vu = tf.linalg.l2_normalize(vu, axis=1) # Normalize to length 1
This code:
# Extract item input features and compute movie vectorinput_item = tf.keras.layers.Input(shape=(num_item_features))vm = item_NN(input_item)vm = tf.linalg.l2_normalize(vm, axis=1) # Normalize to length 1
This code:
# Compute dot product between user and movie vectorsoutput = tf.keras.layers.Dot(axes=1)([vu, vm])
After computing v_u and v_m, we take the dot product using:
tf.keras.layers.Dot
# Define overall model with inputs and outputsmodel = tf.keras.Model([input_user, input_item], output)
This tells Keras:
# Configure trainingcost_fn = tf.keras.losses.MeanSquaredError()opt = keras.optimizers.Adam(learning_rate=0.01)model.compile(optimizer=opt, loss=cost_fn)
The cost function used to train this model is the mean squared error cost function, which is very similar to the collaborative filtering approach.
L2 Normalization
The L2 normalization step that normalizes the length of vectors v_u and v_m makes the algorithm work better. TensorFlow has the l2_normalize
function that normalizes the vector, also called normalizing the L2 norm of the vector.
The implementation demonstrates how to:
These code snippets represent the key components for implementing content-based filtering as a neural network. The complete implementation includes:
The TensorFlow implementation provides a flexible framework for building content-based recommender systems that can incorporate rich user and item features while maintaining computational efficiency and scalability.