87 lines
2.4 KiB
Python
87 lines
2.4 KiB
Python
import dgl
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import numpy as np
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from ged import graph_edit_distance
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src1 = [0, 1, 2, 3, 4, 5]
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dst1 = [1, 2, 3, 4, 5, 6]
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src2 = [0, 1, 3, 4, 5]
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dst2 = [1, 2, 4, 5, 6]
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G1 = dgl.DGLGraph((src1, dst1))
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G2 = dgl.DGLGraph((src2, dst2))
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# Exact edit distance with astar search
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distance, node_mapping, edge_mapping = graph_edit_distance(
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G1, G1, algorithm="astar"
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)
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print(distance) # 0.0
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distance, node_mapping, edge_mapping = graph_edit_distance(
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G1, G2, algorithm="astar"
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)
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print(distance) # 1.0
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# With user-input cost matrices
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node_substitution_cost = np.empty((G1.num_nodes(), G2.num_nodes()))
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G1_node_deletion_cost = np.empty(G1.num_nodes())
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G2_node_insertion_cost = np.empty(G2.num_nodes())
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edge_substitution_cost = np.empty((G1.num_edges(), G2.num_edges()))
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G1_edge_deletion_cost = np.empty(G1.num_edges())
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G2_edge_insertion_cost = np.empty(G2.num_edges())
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# Node substitution cost of 0 when node-ids are same, else 1
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node_substitution_cost.fill(1.0)
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for i in range(G1.num_nodes()):
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for j in range(G2.num_nodes()):
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node_substitution_cost[i, j] = 0.0
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# Node insertion/deletion cost of 1
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G1_node_deletion_cost.fill(1.0)
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G2_node_insertion_cost.fill(1.0)
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# Edge substitution cost of 0
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edge_substitution_cost.fill(0.0)
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# Edge insertion/deletion cost of 0.5
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G1_edge_deletion_cost.fill(0.5)
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G2_edge_insertion_cost.fill(0.5)
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distance, node_mapping, edge_mapping = graph_edit_distance(
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G1,
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G2,
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node_substitution_cost,
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edge_substitution_cost,
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G1_node_deletion_cost,
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G2_node_insertion_cost,
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G1_edge_deletion_cost,
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G2_edge_insertion_cost,
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algorithm="astar",
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)
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print(distance) # 0.5
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# Approximate edit distance with beam search, it is more than or equal to the exact edit distance
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distance, node_mapping, edge_mapping = graph_edit_distance(
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G1, G2, algorithm="beam", max_beam_size=2
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)
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print(distance) # 3.0
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# Approximate edit distance with bipartite heuristic, it is more than or equal to the exact edit distance
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distance, node_mapping, edge_mapping = graph_edit_distance(
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G1, G2, algorithm="bipartite"
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)
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print(
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distance
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) # 9.0, can be different as multiple solutions possible for the intermediate LAP used in this approximation
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# Approximate edit distance with hausdorff heuristic, it is less than or equal to the exact edit distance
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distance, node_mapping, edge_mapping = graph_edit_distance(
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G1, G2, algorithm="hausdorff"
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)
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print(distance) # 0.0
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