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from typing import List, Set, Tuple, Union, Callable
import numpy as np
from scipy.optimize import linear_sum_assignment
def _align_bags(
predicted: List[Set[str]],
gold: List[Set[str]],
method: Callable[[object, object], float],
) -> List[float]:
"""
Takes gold and predicted answer sets and first finds the optimal 1-1 alignment
between them and gets maximum metric values over all the answers.
"""
scores = np.zeros([len(gold), len(predicted)])
for gold_index, gold_item in enumerate(gold):
for pred_index, pred_item in enumerate(predicted):
scores[gold_index, pred_index] = method(pred_item, gold_item)
row_ind, col_ind = linear_sum_assignment(-scores)
max_scores = np.zeros([max(len(gold), len(predicted))])
for row, column in zip(row_ind, col_ind):
max_scores[row] = max(max_scores[row], scores[row, column])
return max_scores
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