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"""Implementation of an attention-based model for item recommendation."""
from typing import Union
import numpy as np
import tensorflow as tf
from ..tf_ops import NoiseConstrastiveEstimation, softmax_with_availabilities
from .base_basket_model import BaseBasketModel
from .data.basket_dataset import TripDataset
class AttentionBasedContextEmbedding(BaseBasketModel):
"""Class for the attention-based model.
Wang, Shoujin, Liang Hu, Longbing Cao, Xiaoshui Huang, Defu Lian,
and Wei Liu. "Attention-based transactional context embedding for
next-item recommendation." In Proceedings of the AAAI conference on
artificial intelligence, vol. 32, no. 1. 2018.
"""
def __init__(
self,
latent_size: int = 4,
n_negative_samples: int = 2,
nce_distribution="natural",
optimizer: str = "adam",
callbacks: Union[tf.keras.callbacks.CallbackList, None] = None,
lr: float = 1e-3,
epochs: int = 10,
batch_size: int = 32,
grad_clip_value: Union[float, None] = None,
weight_decay: Union[float, None] = None,
momentum: float = 0.0,
**kwargs,
) -> None:
"""Initialize the model with hyperparameters.
Parameters
----------
epochs : int
Number of training epochs.
lr : float
Learning rate for the optimizer.
latent_size : int
Size of the item embeddings.
n_negative_samples : int
Number of negative samples to use in training.
batch_size : int
Size of the batches for training. Default is 50.
optimizer : str
Optimizer to use for training. Default is "Adam".
nce_distribution: str
Items distribution to be used to compute the NCE Loss
Currently available: 'natural' to estimate the distribution
from the train dataset and 'uniform' where all items have the
same disitrbution, 1/n_items. Default is 'natural'.
"""
self.instantiated = False
self.latent_size = latent_size
self.n_negative_samples = n_negative_samples
self.nce_distribution = nce_distribution
super().__init__(
optimizer=optimizer,
callbacks=callbacks,
lr=lr,
epochs=epochs,
batch_size=batch_size,
grad_clip_value=grad_clip_value,
weight_decay=weight_decay,
momentum=momentum,
**kwargs,
)
def instantiate(
self,
n_items: int,
) -> None:
"""Initialize the model parameters.
Parameters
----------
n_items : int
Number of unique items in the dataset.
"""
self.n_items = n_items
self.Wi = tf.Variable(
tf.random.normal((self.n_items, self.latent_size), stddev=0.1, seed=42),
name="Wi",
)
self.Wo = tf.Variable(
tf.random.normal((self.n_items, self.latent_size), stddev=0.1, seed=42),
name="Wo",
)
self.wa = tf.Variable(tf.random.normal((self.latent_size,), stddev=0.1, seed=42), name="wa")
self.empty_context_embedding = tf.Variable(
tf.random.normal((self.latent_size,), stddev=0.1, seed=42),
name="empty_context_embedding",
)
self.loss = NoiseConstrastiveEstimation()
self.is_trained = False
self.instantiated = True
@property
def trainable_weights(self):
"""Return the trainable weights of the model.
Returns
-------
list
List of trainable weights (Wi, wa, Wo).
"""
return [self.Wi, self.wa, self.Wo, self.empty_context_embedding]
@property
def train_iter_method(self) -> str:
"""Method used to generate sub-baskets from a purchased one.
Available methods are:
- 'shopper': randomly orders the purchases and creates the ordered sub-baskets:
(1|0); (2|1); (3|1,2); (4|1,2,3); etc...
- 'aleacarta': creates all the sub-baskets with N-1 items:
(4|1,2,3); (3|1,2,4); (2|1,3,4); (1|2,3,4)
Returns
-------
str
Data generation method.
"""
return "aleacarta"
def embed_context(self, context_items: tf.Tensor) -> tf.Tensor:
"""Return the context embedding matrix.
Parameters
----------
context_items : tf.Tensor
[batch_size, variable_length] tf.RaggedTensor
Tensor containing the list of the context items.
Returns
-------
tf.Tensor
[batch_size, latent_size] tf.Tensor
Tensor containing the matrix of contexts embeddings.
"""
context_embedding = tf.gather(
tf.concat([tf.zeros((1, self.latent_size)), self.Wi], axis=0), context_items + 1
)
e_values = tf.reduce_sum(context_embedding * self.wa, axis=-1)
alphas = softmax_with_availabilities(
items_logit_by_choice=e_values,
available_items_by_choice=tf.where(context_items == -1, 0.0, 1.0),
)
final_embeddings = tf.reduce_sum(
tf.expand_dims(alphas, axis=-1) * context_embedding, axis=1
)
return tf.where(
tf.reduce_sum(final_embeddings, axis=-1, keepdims=True) == 0.0,
tf.tile(
tf.expand_dims(self.empty_context_embedding, axis=0), (len(final_embeddings), 1)
),
final_embeddings,
)
def compute_batch_utility(
self,
item_batch: Union[np.ndarray, tf.Tensor],
basket_batch: np.ndarray,
store_batch: np.ndarray,
week_batch: np.ndarray,
price_batch: np.ndarray,
available_item_batch: np.ndarray,
user_batch: np.ndarray,
) -> tf.Tensor:
"""Compute the utility of all the items in item_batch given the items in basket_batch.
Parameters
----------
item_batch: np.ndarray or tf.Tensor
Batch of the purchased items ID (integers) for which to compute the utility
Shape must be (batch_size,)
(positive and negative samples concatenated together)
basket_batch: np.ndarray
Batch of baskets (ID of items already in the baskets) (arrays) for each purchased item
Shape must be (batch_size, max_basket_size)
store_batch: np.ndarray
Batch of store IDs (integers) for each purchased item
Shape must be (batch_size,)
week_batch: np.ndarray
Batch of week numbers (integers) for each purchased item
Shape must be (batch_size,)
price_batch: np.ndarray
Batch of prices (floats) for each purchased item
Shape must be (batch_size,)
available_item_batch: np.ndarray
Batch of availability matrices (indicating the availability (1) or not (0)
of the products) (arrays) for each purchased item
Shape must be (batch_size, n_items)
Returns
-------
item_utilities: tf.Tensor
Utility of all the items in item_batch
Shape must be (batch_size,)
"""
_ = store_batch
_ = price_batch
_ = week_batch
_ = available_item_batch
_ = user_batch
if len(tf.shape(item_batch)) == 1:
item_batch = tf.expand_dims(item_batch, axis=1)
squeeze = True
else:
squeeze = False
context_embedding = self.embed_context(basket_batch)
utilities = tf.einsum(
"kj,klj->kl", context_embedding, tf.gather(self.Wo, tf.cast(item_batch, tf.int32))
)
if squeeze:
return tf.gather(utilities, 0, axis=1)
return utilities
def get_negative_samples(
self,
available_items: np.ndarray,
purchased_items: np.ndarray,
next_item: int,
n_samples: int,
) -> list[int]:
"""Sample randomly a set of items.
(set of items not already purchased and *not necessarily* from the basket)
Parameters
----------
available_items: np.ndarray
Matrix indicating the availability (1) or not (0) of the products
Shape must be (n_items,)
purchased_items: np.ndarray
List of items already purchased (already in the basket)
next_item: int
Next item (to be added in the basket)
n_samples: int
Number of samples to draw
Returns
-------
list[int]
Random sample of items, each of them distinct from
the next item and from the items already in the basket
"""
# Convert inputs to tensors
available_items = tf.cast(tf.convert_to_tensor(available_items), dtype=tf.int32)
purchased_items = tf.cast(tf.convert_to_tensor(purchased_items), dtype=tf.int32)
next_item = tf.cast(tf.convert_to_tensor(next_item), dtype=tf.int32)
# Get the list of available items based on the availability matrix
item_ids = tf.range(self.n_items)
available_mask = tf.equal(available_items, 1)
assortment = tf.boolean_mask(item_ids, available_mask)
not_to_be_chosen = tf.concat([purchased_items, tf.expand_dims(next_item, axis=0)], axis=0)
# Sample negative items from the assortment excluding not_to_be_chosen
negative_samples = tf.boolean_mask(
tensor=assortment,
# Reduce the 2nd dimension of the boolean mask to get a 1D mask
mask=~tf.reduce_any(
tf.equal(tf.expand_dims(assortment, axis=1), not_to_be_chosen), axis=1
),
)
error_message = (
"The number of negative samples to draw must be less than "
"the number of available items not already purchased and "
"distinct from the next item."
)
# Raise an error if n_samples > tf.size(negative_samples)
tf.debugging.assert_greater_equal(
tf.size(negative_samples), n_samples, message=error_message
)
# Randomize the sampling
negative_samples = tf.random.shuffle(negative_samples)
# Keep only n_samples
return negative_samples[:n_samples]
def _get_items_frequencies(self, dataset: TripDataset) -> tf.Tensor:
"""Count the occurrences of each item in the dataset.
Parameters
----------
dataset : TripDataset
Dataset containing the baskets.
Returns
-------
tf.Tensor
Tensor containing the count of each item.
"""
item_counts = np.zeros(self.n_items, dtype=np.int32)
for trip in dataset.trips:
for item in trip.purchases:
item_counts[item] += 1
items_distribution = item_counts / item_counts.sum()
return tf.constant(items_distribution, dtype=tf.float32)
def compute_batch_loss(
self,
item_batch: np.ndarray,
basket_batch: np.ndarray,
future_batch: np.ndarray,
store_batch: np.ndarray,
week_batch: np.ndarray,
price_batch: np.ndarray,
available_item_batch: np.ndarray,
user_batch: np.ndarray,
) -> tuple[tf.Variable]:
"""Compute log-likelihood and loss for one batch of items.
Parameters
----------
item_batch: np.ndarray
Batch of purchased items ID (integers)
Shape must be (batch_size,)
basket_batch: np.ndarray
Batch of baskets (ID of items already in the baskets) (arrays) for each purchased item
Shape must be (batch_size, max_basket_size)
future_batch: np.ndarray
Batch of items to be purchased in the future (ID of items not yet in the
basket) (arrays) for each purchased item
Shape must be (batch_size, max_basket_size)
Here for signature reasons, unused for this model
store_batch: np.ndarray
Batch of store IDs (integers) for each purchased item
Shape must be (batch_size,)
week_batch: np.ndarray
Batch of week numbers (integers) for each purchased item
Shape must be (batch_size,)
price_batch: np.ndarray
Batch of prices (floats) for each purchased item
Shape must be (batch_size,)
available_item_batch: np.ndarray
List of availability matrices (indicating the availability (1) or not (0)
of the products) (arrays) for each purchased item
Shape must be (batch_size, n_items)
Returns
-------
tf.Variable
Value of the loss for the batch (binary cross-entropy),
Shape must be (1,)
loglikelihood: tf.Variable
Computed log-likelihood of the batch of items
Approximated by difference of utilities between positive and negative samples
Shape must be (1,)
"""
_ = future_batch
_ = user_batch
negative_samples = tf.stack(
[
self.get_negative_samples(
available_items=available_item_batch[idx],
purchased_items=basket_batch[idx],
next_item=item_batch[idx],
n_samples=self.n_negative_samples,
)
for idx in range(len(item_batch))
],
axis=0,
)
pos_score = self.compute_batch_utility(
item_batch,
basket_batch,
store_batch,
week_batch,
price_batch,
available_item_batch,
user_batch,
)
neg_scores = self.compute_batch_utility(
item_batch=negative_samples,
basket_batch=basket_batch,
store_batch=store_batch,
week_batch=week_batch,
price_batch=price_batch,
available_item_batch=available_item_batch,
user_batch=user_batch,
)
return self.loss(
logit_true=pos_score,
logit_negative=neg_scores,
freq_true=tf.gather(self.negative_samples_distribution, tf.cast(item_batch, tf.int32)),
freq_negative=tf.gather(
self.negative_samples_distribution,
tf.cast(negative_samples, tf.int32),
),
), 1e-10
def fit(
self,
trip_dataset: TripDataset,
val_dataset: Union[TripDataset, None] = None,
verbose: int = 0,
) -> None:
"""Trains the model for a specified number of epochs.
Parameters
----------
dataset : TripDataset
Dataset of baskets to train the model on.
"""
if not self.instantiated:
self.instantiate(n_items=trip_dataset.n_items)
if not isinstance(trip_dataset, TripDataset):
raise TypeError("Dataset must be a TripDataset.")
if (
max([len(trip.purchases) for trip in trip_dataset.trips]) + self.n_negative_samples
> self.n_items
):
raise ValueError(
"The number of items in the dataset is less than the number of negative samples."
)
if self.nce_distribution == "natural":
self.negative_samples_distribution = self._get_items_frequencies(trip_dataset)
else:
self.negative_samples_distribution = (1 / trip_dataset.n_items) * np.ones(
(trip_dataset.n_items,)
).astype("float32")
history = super().fit(trip_dataset=trip_dataset, val_dataset=val_dataset, verbose=verbose)
self.is_trained = True
return history