chore: import upstream snapshot with attribution
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"""
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Utility functions for link prediction
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Most code is adapted from authors' implementation of RGCN link prediction:
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https://github.com/MichSchli/RelationPrediction
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"""
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import dgl
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import numpy as np
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import tensorflow as tf
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#######################################################################
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#
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# Utility function for building training and testing graphs
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#
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#######################################################################
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def get_adj_and_degrees(num_nodes, triplets):
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"""Get adjacency list and degrees of the graph"""
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adj_list = [[] for _ in range(num_nodes)]
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for i, triplet in enumerate(triplets):
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adj_list[triplet[0]].append([i, triplet[2]])
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adj_list[triplet[2]].append([i, triplet[0]])
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degrees = np.array([len(a) for a in adj_list])
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adj_list = [np.array(a) for a in adj_list]
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return adj_list, degrees
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def sample_edge_neighborhood(adj_list, degrees, n_triplets, sample_size):
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"""Sample edges by neighborhool expansion.
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This guarantees that the sampled edges form a connected graph, which
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may help deeper GNNs that require information from more than one hop.
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"""
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edges = np.zeros((sample_size), dtype=np.int32)
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# initialize
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sample_counts = np.array([d for d in degrees])
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picked = np.array([False for _ in range(n_triplets)])
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seen = np.array([False for _ in degrees])
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for i in range(0, sample_size):
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weights = sample_counts * seen
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if np.sum(weights) == 0:
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weights = np.ones_like(weights)
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weights[np.where(sample_counts == 0)] = 0
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probabilities = (weights) / np.sum(weights)
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chosen_vertex = np.random.choice(
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np.arange(degrees.shape[0]), p=probabilities
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)
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chosen_adj_list = adj_list[chosen_vertex]
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seen[chosen_vertex] = True
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chosen_edge = np.random.choice(np.arange(chosen_adj_list.shape[0]))
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chosen_edge = chosen_adj_list[chosen_edge]
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edge_number = chosen_edge[0]
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while picked[edge_number]:
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chosen_edge = np.random.choice(np.arange(chosen_adj_list.shape[0]))
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chosen_edge = chosen_adj_list[chosen_edge]
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edge_number = chosen_edge[0]
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edges[i] = edge_number
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other_vertex = chosen_edge[1]
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picked[edge_number] = True
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sample_counts[chosen_vertex] -= 1
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sample_counts[other_vertex] -= 1
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seen[other_vertex] = True
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return edges
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def sample_edge_uniform(adj_list, degrees, n_triplets, sample_size):
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"""Sample edges uniformly from all the edges."""
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all_edges = np.arange(n_triplets)
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return np.random.choice(all_edges, sample_size, replace=False)
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def generate_sampled_graph_and_labels(
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triplets,
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sample_size,
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split_size,
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num_rels,
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adj_list,
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degrees,
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negative_rate,
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sampler="uniform",
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):
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"""Get training graph and signals
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First perform edge neighborhood sampling on graph, then perform negative
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sampling to generate negative samples
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"""
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# perform edge neighbor sampling
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if sampler == "uniform":
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edges = sample_edge_uniform(
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adj_list, degrees, len(triplets), sample_size
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)
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elif sampler == "neighbor":
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edges = sample_edge_neighborhood(
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adj_list, degrees, len(triplets), sample_size
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)
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else:
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raise ValueError("Sampler type must be either 'uniform' or 'neighbor'.")
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# relabel nodes to have consecutive node ids
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edges = triplets[edges]
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src, rel, dst = edges.transpose()
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uniq_v, edges = np.unique((src, dst), return_inverse=True)
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src, dst = np.reshape(edges, (2, -1))
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relabeled_edges = np.stack((src, rel, dst)).transpose()
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# negative sampling
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samples, labels = negative_sampling(
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relabeled_edges, len(uniq_v), negative_rate
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)
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# further split graph, only half of the edges will be used as graph
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# structure, while the rest half is used as unseen positive samples
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split_size = int(sample_size * split_size)
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graph_split_ids = np.random.choice(
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np.arange(sample_size), size=split_size, replace=False
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)
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src = src[graph_split_ids]
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dst = dst[graph_split_ids]
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rel = rel[graph_split_ids]
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# build DGL graph
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print("# sampled nodes: {}".format(len(uniq_v)))
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print("# sampled edges: {}".format(len(src) * 2))
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g, rel, norm = build_graph_from_triplets(
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len(uniq_v), num_rels, (src, rel, dst)
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)
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return g, uniq_v, rel, norm, samples, labels
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def comp_deg_norm(g):
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g = g.local_var()
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in_deg = g.in_degrees(range(g.number_of_nodes())).float().numpy()
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norm = 1.0 / in_deg
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norm[np.isinf(norm)] = 0
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return norm
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def build_graph_from_triplets(num_nodes, num_rels, triplets):
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"""Create a DGL graph. The graph is bidirectional because RGCN authors
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use reversed relations.
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This function also generates edge type and normalization factor
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(reciprocal of node incoming degree)
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"""
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g = dgl.DGLGraph()
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g.add_nodes(num_nodes)
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src, rel, dst = triplets
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src, dst = np.concatenate((src, dst)), np.concatenate((dst, src))
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rel = np.concatenate((rel, rel + num_rels))
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edges = sorted(zip(dst, src, rel))
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dst, src, rel = np.array(edges).transpose()
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g.add_edges(src, dst)
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norm = comp_deg_norm(g)
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print("# nodes: {}, # edges: {}".format(num_nodes, len(src)))
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return g, rel, norm
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def build_test_graph(num_nodes, num_rels, edges):
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src, rel, dst = edges.transpose()
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print("Test graph:")
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return build_graph_from_triplets(num_nodes, num_rels, (src, rel, dst))
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def negative_sampling(pos_samples, num_entity, negative_rate):
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size_of_batch = len(pos_samples)
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num_to_generate = size_of_batch * negative_rate
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neg_samples = np.tile(pos_samples, (negative_rate, 1))
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labels = np.zeros(size_of_batch * (negative_rate + 1), dtype=np.float32)
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labels[:size_of_batch] = 1
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values = np.random.randint(num_entity, size=num_to_generate)
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choices = np.random.uniform(size=num_to_generate)
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subj = choices > 0.5
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obj = choices <= 0.5
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neg_samples[subj, 0] = values[subj]
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neg_samples[obj, 2] = values[obj]
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return np.concatenate((pos_samples, neg_samples)), labels
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