ConvE¶
-
class
ampligraph.latent_features.
ConvE
(k=100, eta=2, epochs=100, batches_count=100, seed=0, embedding_model_params={'conv_filters': 32, 'conv_kernel_size': 3, 'dropout_conv': 0.3, 'dropout_dense': 0.2, 'dropout_embed': 0.2, 'use_batchnorm': True, 'use_bias': True}, optimizer='adam', optimizer_params={'lr': 0.0005}, loss='bce', loss_params={'label_smoothing': 0.1, 'label_weighting': False}, regularizer=None, regularizer_params={}, initializer='xavier', initializer_params={'uniform': False}, low_memory=False, verbose=False)¶ Convolutional 2D KG Embeddings
The ConvE model [DMSR18].
ConvE uses convolutional layers. \(g\) is a non-linear activation function, \(\ast\) is the linear convolution operator, \(vec\) indicates 2D reshaping.
\[f_{ConvE} = \langle \sigma \, (vec \, ( g \, ([ \overline{\mathbf{e}_s} ; \overline{\mathbf{r}_p} ] \ast \Omega )) \, \mathbf{W} )) \, \mathbf{e}_o\rangle\]Note
ConvE does not handle ‘s+o’ corruptions currently, nor
large_graph
mode.Examples
>>> import numpy as np >>> from ampligraph.latent_features import ConvE >>> model = ConvE(batches_count=1, seed=22, epochs=5, k=100) >>> >>> X = np.array([['a', 'y', 'b'], >>> ['b', 'y', 'a'], >>> ['a', 'y', 'c'], >>> ['c', 'y', 'a'], >>> ['a', 'y', 'd'], >>> ['c', 'y', 'd'], >>> ['b', 'y', 'c'], >>> ['f', 'y', 'e']]) >>> model.fit(X) >>> model.predict(np.array([['f', 'y', 'e'], ['b', 'y', 'd']])) [0.42921206 0.38998795]
Attributes
__init__
([k, eta, epochs, batches_count, …])Initialize a ConvE model
fit
(X[, early_stopping, early_stopping_params])Train a ConvE (with optional early stopping).
get_embeddings
(entities[, embedding_type])Get the embeddings of entities or relations.
Returns hyperparameters of the model.
predict
(X[, from_idx])Predict the scores of triples using a trained embedding model.
calibrate
(X_pos[, X_neg, …])Calibrate predictions
Predicts probabilities using the Platt scaling model (after calibration).
-
__init__
(k=100, eta=2, epochs=100, batches_count=100, seed=0, embedding_model_params={'conv_filters': 32, 'conv_kernel_size': 3, 'dropout_conv': 0.3, 'dropout_dense': 0.2, 'dropout_embed': 0.2, 'use_batchnorm': True, 'use_bias': True}, optimizer='adam', optimizer_params={'lr': 0.0005}, loss='bce', loss_params={'label_smoothing': 0.1, 'label_weighting': False}, regularizer=None, regularizer_params={}, initializer='xavier', initializer_params={'uniform': False}, low_memory=False, verbose=False)¶ Initialize a ConvE model
Also creates a new Tensorflow session for training.
- Parameters
k (int) – Embedding space dimensionality.
eta (int) – The number of negatives that must be generated at runtime during training for each positive. Note: This parameter is not used in ConvE.
epochs (int) – The iterations of the training loop.
batches_count (int) – The number of batches in which the training set must be split during the training loop.
seed (int) – The seed used by the internal random numbers generator.
embedding_model_params (dict) –
ConvE-specific hyperparams:
conv_filters (int): Number of convolution feature maps. Default: 32
conv_kernel_size (int): Convolution kernel size. Default: 3
dropout_embed (float|None): Dropout on the embedding layer. Default: 0.2
dropout_conv (float|None): Dropout on the convolution maps. Default: 0.3
dropout_dense (float|None): Dropout on the dense layer. Default: 0.2
use_bias (bool): Use bias layer. Default: True
use_batchnorm (bool): Use batch normalization after input, convolution, dense layers. Default: True
optimizer (string) – The optimizer used to minimize the loss function. Choose between ‘sgd’, ‘adagrad’, ‘adam’, ‘momentum’.
optimizer_params (dict) –
Arguments specific to the optimizer, passed as a dictionary.
Supported keys:
’lr’ (float): learning rate (used by all the optimizers). Default: 0.1.
’momentum’ (float): learning momentum (only used when
optimizer=momentum
). Default: 0.9.
Example:
optimizer_params={'lr': 0.01}
loss (string) –
The type of loss function to use during training.
bce
the model will use binary cross entropy loss function.
loss_params (dict) –
Dictionary of loss-specific hyperparameters. See loss functions documentation for additional details.
Supported keys:
’lr’ (float): learning rate (used by all the optimizers). Default: 0.1.
’momentum’ (float): learning momentum (only used when
optimizer=momentum
). Default: 0.9.’label_smoothing’ (float): applies label smoothing to one-hot outputs. Default: 0.1.
’label_weighting’ (bool): applies label weighting to one-hot outputs. Default: True
Example:
optimizer_params={'lr': 0.01, 'label_smoothing': 0.1}
regularizer (string) –
The regularization strategy to use with the loss function.
None
: the model will not use any regularizer (default)LP
: the model will use L1, L2 or L3 based on the value ofregularizer_params['p']
(see below).
regularizer_params (dict) –
Dictionary of regularizer-specific hyperparameters. See the regularizers documentation for additional details.
Example:
regularizer_params={'lambda': 1e-5, 'p': 2}
ifregularizer='LP'
.initializer (string) –
The type of initializer to use.
normal
: The embeddings will be initialized from a normal distributionuniform
: The embeddings will be initialized from a uniform distributionxavier
: The embeddings will be initialized using xavier strategy (default)
initializer_params (dict) –
Dictionary of initializer-specific hyperparameters. See the initializer documentation for additional details.
Example:
initializer_params={'mean': 0, 'std': 0.001}
ifinitializer='normal'
.verbose (bool) – Verbose mode.
low_memory (bool) – Train ConvE with a (slower) low_memory option. If MemoryError is still encountered, try raising the batches_count value. Default: False.
-
fit
(X, early_stopping=False, early_stopping_params={})¶ Train a ConvE (with optional early stopping).
The model is trained on a training set X using the training protocol described in [DMSR18].
- Parameters
X (ndarray (shape [n, 3]) or object of ConvEDatasetAdapter) – Numpy array of training triples OR handle of Dataset adapter which would help retrieve data.
early_stopping (bool) – Flag to enable early stopping (default:
False
)early_stopping_params (dictionary) –
Dictionary of hyperparameters for the early stopping heuristics.
The following string keys are supported:
- ’x_valid’: ndarray (shape [n, 3]) or object of AmpligraphDatasetAdapter :
Numpy array of validation triples OR handle of Dataset adapter which would help retrieve data.
’criteria’: string : criteria for early stopping ‘hits10’, ‘hits3’, ‘hits1’ or ‘mrr’(default).
- ’x_filter’: ndarray, shape [n, 3]Positive triples to use as filter if a ‘filtered’ early
stopping criteria is desired (i.e. filtered-MRR if ‘criteria’:’mrr’). Note this will affect training time (no filter by default). If the filter has already been set in the adapter, pass True
’burn_in’: int : Number of epochs to pass before kicking in early stopping (default: 100).
check_interval’: int : Early stopping interval after burn-in (default:10).
’stop_interval’: int : Stop if criteria is performing worse over n consecutive checks (default: 3)
’corruption_entities’: List of entities to be used for corruptions. If ‘all’, it uses all entities (default: ‘all’)
- ’corrupt_side’: Specifies which side to corrupt. ‘s’, ‘o’, ‘s,o’ (default). Note: ConvE does not
currently support ‘s+o’ evaluation mode.
Example:
early_stopping_params={x_valid=X['valid'], 'criteria': 'mrr'}
-
get_embeddings
(entities, embedding_type='entity')¶ Get the embeddings of entities or relations.
Note
Use
ampligraph.utils.create_tensorboard_visualizations()
to visualize the embeddings with TensorBoard.- Parameters
entities (array-like, dtype=int, shape=[n]) – The entities (or relations) of interest. Element of the vector must be the original string literals, and not internal IDs.
embedding_type (string) – If ‘entity’,
entities
argument will be considered as a list of knowledge graph entities (i.e. nodes). If set to ‘relation’, they will be treated as relation types instead (i.e. predicates).
- Returns
embeddings – An array of k-dimensional embeddings.
- Return type
ndarray, shape [n, k]
-
get_hyperparameter_dict
()¶ Returns hyperparameters of the model.
- Returns
hyperparam_dict – Dictionary of hyperparameters that were used for training.
- Return type
dict
-
predict
(X, from_idx=False)¶ - Predict the scores of triples using a trained embedding model.
The function returns raw scores generated by the model.
Note
To obtain probability estimates, calibrate the model with
calibrate()
, then callpredict_proba()
.
- Parameters
X (ndarray, shape [n, 3]) – The triples to score.
from_idx (bool) – If True, will skip conversion to internal IDs. (default: False).
- Returns
scores_predict – The predicted scores for input triples X.
- Return type
ndarray, shape [n]
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calibrate
(X_pos, X_neg=None, positive_base_rate=None, batches_count=100, epochs=50)¶ Calibrate predictions
The method implements the heuristics described in [TC20], using Platt scaling [P+99].
The calibrated predictions can be obtained with
predict_proba()
after calibration is done.Ideally, calibration should be performed on a validation set that was not used to train the embeddings.
There are two modes of operation, depending on the availability of negative triples:
Both positive and negative triples are provided via
X_pos
andX_neg
respectively. The optimization is done using a second-order method (limited-memory BFGS), therefore no hyperparameter needs to be specified.Only positive triples are provided, and the negative triples are generated by corruptions just like it is done in training or evaluation. The optimization is done using a first-order method (ADAM), therefore
batches_count
andepochs
must be specified.
Calibration is highly dependent on the base rate of positive triples. Therefore, for mode (2) of operation, the user is required to provide the
positive_base_rate
argument. For mode (1), that can be inferred automatically by the relative sizes of the positive and negative sets, but the user can override that by providing a value topositive_base_rate
.Defining the positive base rate is the biggest challenge when calibrating without negatives. That depends on the user choice of which triples will be evaluated during test time. Let’s take WN11 as an example: it has around 50% positives triples on both the validation set and test set, so naturally the positive base rate is 50%. However, should the user resample it to have 75% positives and 25% negatives, its previous calibration will be degraded. The user must recalibrate the model now with a 75% positive base rate. Therefore, this parameter depends on how the user handles the dataset and cannot be determined automatically or a priori.
Note
Incompatible with large graph mode (i.e. if
self.dealing_with_large_graphs=True
).- Parameters
X_pos (ndarray (shape [n, 3])) – Numpy array of positive triples.
X_neg (ndarray (shape [n, 3])) –
Numpy array of negative triples.
If None, the negative triples are generated via corruptions and the user must provide a positive base rate instead.
positive_base_rate (float) –
Base rate of positive statements.
For example, if we assume there is a fifty-fifty chance of any query to be true, the base rate would be 50%.
If
X_neg
is provided and this is None, the relative sizes ofX_pos
andX_neg
will be used to determine the base rate. For example, if we have 50 positive triples and 200 negative triples, the positive base rate will be assumed to be 50/(50+200) = 1/5 = 0.2.This must be a value between 0 and 1.
batches_count (int) – Number of batches to complete one epoch of the Platt scaling training. Only applies when
X_neg
is None.epochs (int) – Number of epochs used to train the Platt scaling model. Only applies when
X_neg
is None.
Examples
>>> import numpy as np >>> from sklearn.metrics import brier_score_loss, log_loss >>> from scipy.special import expit >>> >>> from ampligraph.datasets import load_wn11 >>> from ampligraph.latent_features.models import TransE >>> >>> X = load_wn11() >>> X_valid_pos = X['valid'][X['valid_labels']] >>> X_valid_neg = X['valid'][~X['valid_labels']] >>> >>> model = TransE(batches_count=64, seed=0, epochs=500, k=100, eta=20, >>> optimizer='adam', optimizer_params={'lr':0.0001}, >>> loss='pairwise', verbose=True) >>> >>> model.fit(X['train']) >>> >>> # Raw scores >>> scores = model.predict(X['test']) >>> >>> # Calibrate with positives and negatives >>> model.calibrate(X_valid_pos, X_valid_neg, positive_base_rate=None) >>> probas_pos_neg = model.predict_proba(X['test']) >>> >>> # Calibrate with just positives and base rate of 50% >>> model.calibrate(X_valid_pos, positive_base_rate=0.5) >>> probas_pos = model.predict_proba(X['test']) >>> >>> # Calibration evaluation with the Brier score loss (the smaller, the better) >>> print("Brier scores") >>> print("Raw scores:", brier_score_loss(X['test_labels'], expit(scores))) >>> print("Positive and negative calibration:", brier_score_loss(X['test_labels'], probas_pos_neg)) >>> print("Positive only calibration:", brier_score_loss(X['test_labels'], probas_pos)) Brier scores Raw scores: 0.4925058891371126 Positive and negative calibration: 0.20434617882733366 Positive only calibration: 0.22597599585144656
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predict_proba
(X)¶ Predicts probabilities using the Platt scaling model (after calibration).
Model must be calibrated beforehand with the
calibrate
method.- Parameters
X (ndarray (shape [n, 3])) – Numpy array of triples to be evaluated.
- Returns
probas – Probability of each triple to be true according to the Platt scaling calibration.
- Return type
ndarray (shape [n])
-