allennlp.nn.chu_liu_edmonds

allennlp.nn.chu_liu_edmonds.chu_liu_edmonds(length: int, score_matrix: numpy.ndarray, current_nodes: List[bool], final_edges: Dict[int, int], old_input: numpy.ndarray, old_output: numpy.ndarray, representatives: List[Set[int]])

Applies the chu-liu-edmonds algorithm recursively to a graph with edge weights defined by score_matrix.

Note that this function operates in place, so variables will be modified.

Parameters

lengthint, required.

The number of nodes.

score_matrixnumpy.ndarray, required.

The score matrix representing the scores for pairs of nodes.

current_nodesList[bool], required.

The nodes which are representatives in the graph. A representative at it’s most basic represents a node, but as the algorithm progresses, individual nodes will represent collapsed cycles in the graph.

final_edges: ``Dict[int, int]``, required.

An empty dictionary which will be populated with the nodes which are connected in the maximum spanning tree.

old_input: ``numpy.ndarray``, required.

old_output: ``numpy.ndarray``, required.

representativesList[Set[int]], required.

A list containing the nodes that a particular node is representing at this iteration in the graph.

Returns

Nothing - all variables are modified in place.

allennlp.nn.chu_liu_edmonds.decode_mst(energy: numpy.ndarray, length: int, has_labels: bool = True) → Tuple[numpy.ndarray, numpy.ndarray]

Note: Counter to typical intuition, this function decodes the _maximum_ spanning tree.

Decode the optimal MST tree with the Chu-Liu-Edmonds algorithm for maximum spanning arborescences on graphs.

Parameters

energynumpy.ndarray, required.

A tensor with shape (num_labels, timesteps, timesteps) containing the energy of each edge. If has_labels is False, the tensor should have shape (timesteps, timesteps) instead.

lengthint, required.

The length of this sequence, as the energy may have come from a padded batch.

has_labelsbool, optional, (default = True)

Whether the graph has labels or not.