Source code for pykeen.models.unimodal.ntn

# -*- coding: utf-8 -*-

"""Implementation of NTN."""

from typing import Any, ClassVar, Mapping, Optional

from class_resolver import Hint, HintOrType
from torch import nn

from ..nbase import ERModel
from ...nn import EmbeddingSpecification
from ...nn.modules import NTNInteraction
from ...typing import Initializer

__all__ = [

[docs]class NTN(ERModel): r"""An implementation of NTN from [socher2013]_. NTN uses a bilinear tensor layer instead of a standard linear neural network layer: .. math:: f(h,r,t) = \textbf{u}_{r}^{T} \cdot \tanh(\textbf{h} \mathfrak{W}_{r} \textbf{t} + \textbf{V}_r [\textbf{h};\textbf{t}] + \textbf{b}_r) where $\mathfrak{W}_r \in \mathbb{R}^{d \times d \times k}$ is the relation specific tensor, and the weight matrix $\textbf{V}_r \in \mathbb{R}^{k \times 2d}$, and the bias vector $\textbf{b}_r$ and the weight vector $\textbf{u}_r \in \mathbb{R}^k$ are the standard parameters of a neural network, which are also relation specific. The result of the tensor product $\textbf{h} \mathfrak{W}_{r} \textbf{t}$ is a vector $\textbf{x} \in \mathbb{R}^k$ where each entry $x_i$ is computed based on the slice $i$ of the tensor $\mathfrak{W}_{r}$: $\textbf{x}_i = \textbf{h}\mathfrak{W}_{r}^{i} \textbf{t}$. As indicated by the interaction model, NTN defines for each relation a separate neural network which makes the model very expressive, but at the same time computationally expensive. .. note:: We split the original $V_r$ matrix into two parts, to separate $V_r [h; r] = V_r^h h + V_r^t t$. The latter is more efficient, if $h$ and $t$ are not of the same shape, e.g., since we are in a :meth:`score_h` / :meth:`score_t` setting. .. seealso:: - Original Implementation (Matlab): `<>`_ - TensorFlow: `<>`_ - Keras: `< (Keras)>`_ --- citation: author: Socher year: 2013 link: github: khurram18/NeuralTensorNetworks """ #: The default strategy for optimizing the model's hyper-parameters hpo_default: ClassVar[Mapping[str, Any]] = dict( embedding_dim=DEFAULT_EMBEDDING_HPO_EMBEDDING_DIM_RANGE, num_slices=dict(type=int, low=2, high=4), ) def __init__( self, *, embedding_dim: int = 100, num_slices: int = 4, non_linearity: HintOrType[nn.Module] = None, non_linearity_kwargs: Optional[Mapping[str, Any]] = None, entity_initializer: Hint[Initializer] = None, **kwargs, ) -> None: r"""Initialize NTN. :param embedding_dim: The entity embedding dimension $d$. Is usually $d \in [50, 350]$. :param num_slices: The number of slices in the parameters :param non_linearity: A non-linear activation function. Defaults to the hyperbolic tangent :class:`torch.nn.Tanh`. :param non_linearity_kwargs: If the ``non_linearity`` is passed as a class, these keyword arguments are used during its instantiation. :param entity_initializer: Entity initializer function. Defaults to :func:`torch.nn.init.uniform_` :param kwargs: Remaining keyword arguments to forward to :class:`pykeen.models.EntityEmbeddingModel` """ super().__init__( interaction=NTNInteraction( activation=non_linearity, activation_kwargs=non_linearity_kwargs, ), entity_representations=EmbeddingSpecification( embedding_dim=embedding_dim, initializer=entity_initializer, ), relation_representations=[ # w: (k, d, d) EmbeddingSpecification(shape=(num_slices, embedding_dim, embedding_dim)), # vh: (k, d) EmbeddingSpecification(shape=(num_slices, embedding_dim)), # vt: (k, d) EmbeddingSpecification(shape=(num_slices, embedding_dim)), # b: (k,) EmbeddingSpecification(shape=(num_slices,)), # u: (k,) EmbeddingSpecification(shape=(num_slices,)), ], **kwargs, )