HolE
- class HolE(*, embedding_dim=200, entity_initializer=<function xavier_uniform_>, entity_constrainer=<function clamp_norm>, entity_constrainer_kwargs=None, relation_initializer=<function xavier_uniform_>, **kwargs)[source]
Bases:
pykeen.models.base.EntityRelationEmbeddingModel
An implementation of HolE [nickel2016].
Holographic embeddings (HolE) make use of the circular correlation operator to compute interactions between latent features of entities and relations:
\[f(h,r,t) = \sigma(\textbf{r}^{T}(\textbf{h} \star \textbf{t}))\]where the circular correlation \(\star: \mathbb{R}^d \times \mathbb{R}^d \rightarrow \mathbb{R}^d\) is defined as:
\[[\textbf{a} \star \textbf{b}]_i = \sum_{k=0}^{d-1} \textbf{a}_{k} * \textbf{b}_{(i+k)\ mod \ d}\]By using the correlation operator each component \([\textbf{h} \star \textbf{t}]_i\) represents a sum over a fixed partition over pairwise interactions. This enables the model to put semantic similar interactions into the same partition and share weights through \(\textbf{r}\). Similarly irrelevant interactions of features could also be placed into the same partition which could be assigned a small weight in \(\textbf{r}\).
See also
Initialize the model.
Attributes Summary
The default settings for the entity constrainer
The default strategy for optimizing the model's hyper-parameters
Methods Summary
interaction_function
(h, r, t)Evaluate the interaction function for given embeddings.
score_h
(rt_batch, **kwargs)Forward pass using left side (head) prediction.
score_hrt
(hrt_batch, **kwargs)Forward pass.
score_t
(hr_batch, **kwargs)Forward pass using right side (tail) prediction.
Attributes Documentation
- entity_constrainer_default_kwargs = {'dim': -1, 'maxnorm': 1.0, 'p': 2}
The default settings for the entity constrainer
- hpo_default: ClassVar[Mapping[str, Any]] = {'embedding_dim': {'high': 256, 'low': 16, 'q': 16, 'type': <class 'int'>}}
The default strategy for optimizing the model’s hyper-parameters
Methods Documentation
- static interaction_function(h, r, t)[source]
Evaluate the interaction function for given embeddings.
The embeddings have to be in a broadcastable shape.
- Parameters
h (
FloatTensor
) – shape: (batch_size, num_entities, d) Head embeddings.r (
FloatTensor
) – shape: (batch_size, num_entities, d) Relation embeddings.t (
FloatTensor
) – shape: (batch_size, num_entities, d) Tail embeddings.
- Return type
FloatTensor
- Returns
shape: (batch_size, num_entities) The scores.
- score_h(rt_batch, **kwargs)[source]
Forward pass using left side (head) prediction.
This method calculates the score for all possible heads for each (relation, tail) pair.
- Parameters
rt_batch (
LongTensor
) – shape: (batch_size, 2), dtype: long The indices of (relation, tail) pairs.slice_size – >0 The divisor for the scoring function when using slicing.
mode – The pass mode, which is None in the transductive setting and one of “training”, “validation”, or “testing” in the inductive setting.
- Return type
FloatTensor
- Returns
shape: (batch_size, num_entities), dtype: float For each r-t pair, the scores for all possible heads.
- score_hrt(hrt_batch, **kwargs)[source]
Forward pass.
This method takes head, relation and tail of each triple and calculates the corresponding score.
- Parameters
hrt_batch (
LongTensor
) – shape: (batch_size, 3), dtype: long The indices of (head, relation, tail) triples.mode – The pass mode, which is None in the transductive setting and one of “training”, “validation”, or “testing” in the inductive setting.
- Return type
FloatTensor
- Returns
shape: (batch_size, 1), dtype: float The score for each triple.
- score_t(hr_batch, **kwargs)[source]
Forward pass using right side (tail) prediction.
This method calculates the score for all possible tails for each (head, relation) pair.
- Parameters
hr_batch (
LongTensor
) – shape: (batch_size, 2), dtype: long The indices of (head, relation) pairs.slice_size – >0 The divisor for the scoring function when using slicing.
mode – The pass mode, which is None in the transductive setting and one of “training”, “validation”, or “testing” in the inductive setting.
- Return type
FloatTensor
- Returns
shape: (batch_size, num_entities), dtype: float For each h-r pair, the scores for all possible tails.