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metrics.py
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from __future__ import absolute_import
from __future__ import division
from __future__ import print_function
import numpy as np
from collections import Counter
from scipy.optimize import linear_sum_assignment as linear_assignment
def f1(p_num, p_den, r_num, r_den, beta=1):
p = 0 if p_den == 0 else p_num / float(p_den)
r = 0 if r_den == 0 else r_num / float(r_den)
return 0 if p + r == 0 else (1 + beta * beta) * p * r / (beta * beta * p + r)
class CorefEvaluator(object):
def __init__(self):
self.evaluators = [Evaluator(m) for m in (muc, b_cubed, ceafe, em, mentions)]
self.count = 0
def update(self, predicted, gold, mention_to_predicted, mention_to_gold):
self.count += 1
for e in self.evaluators:
e.update(predicted, gold, mention_to_predicted, mention_to_gold)
def get_f1(self):
return sum(e.get_f1() for e in self.evaluators[:3]) / len(self.evaluators[:3])
def get_recall(self):
return sum(e.get_recall() for e in self.evaluators[:3]) / len(self.evaluators[:3])
def get_precision(self):
return sum(e.get_precision() for e in self.evaluators[:3]) / len(self.evaluators[:3])
def get_prf(self):
return self.get_precision(), self.get_recall(), self.get_f1()
def prf_str(self):
p,r,f = self.get_prf()
return f"{p:.3f}, {r:.3f}, {f:.3f}"
def get_full(self):
eval_names = ("muc", "b_cubed", "ceafe", "em", "mentions")
details = []
for e, name in zip(self.evaluators, eval_names):
p = e.get_precision()
r = e.get_recall()
f1 = e.get_f1()
details.append(f"{name}: {p:.4f} {r:.4f} {f1:.4f}")
return details
def get_count(self):
return self.count
class Evaluator(object):
def __init__(self, metric, beta=1):
self.p_num = 0
self.p_den = 0
self.r_num = 0
self.r_den = 0
self.metric = metric
self.beta = beta
def update(self, predicted, gold, mention_to_predicted, mention_to_gold):
if self.metric == ceafe or self.metric == em:
pn, pd, rn, rd = self.metric(predicted, gold)
elif self.metric == mentions:
pn, pd, rn, rd = self.metric(mention_to_predicted, mention_to_gold)
else:
pn, pd = self.metric(predicted, mention_to_gold)
rn, rd = self.metric(gold, mention_to_predicted)
self.p_num += pn
self.p_den += pd
self.r_num += rn
self.r_den += rd
def raw_update(self, i, pd, rd):
self.p_num += i
self.p_den += pd
self.r_num += i
self.r_den += rd
def get_f1(self):
return f1(self.p_num, self.p_den, self.r_num, self.r_den, beta=self.beta)
def get_recall(self):
return 0 if self.r_num == 0 else self.r_num / float(self.r_den)
def get_precision(self):
return 0 if self.p_num == 0 else self.p_num / float(self.p_den)
def get_prf(self):
return self.get_precision(), self.get_recall(), self.get_f1()
def get_counts(self):
return self.p_num, self.p_den, self.r_num, self.r_den
def evaluate_documents(documents, metric, beta=1):
evaluator = Evaluator(metric, beta=beta)
for document in documents:
evaluator.update(document)
return evaluator.get_precision(), evaluator.get_recall(), evaluator.get_f1()
def mentions(mention_to_predicted, mention_to_gold):
predicted_mention_set = mention_to_predicted.keys()
gold_mention_set = mention_to_gold.keys()
p_num = len(predicted_mention_set & gold_mention_set)
p_denom = len(predicted_mention_set)
r_num = len(gold_mention_set & predicted_mention_set)
r_denom = len(gold_mention_set)
return p_num, p_denom, r_num, r_denom
def b_cubed(clusters, mention_to_gold):
num, dem = 0, 0
for c in clusters:
gold_counts = Counter()
correct = 0
for m in c:
if m in mention_to_gold:
gold_counts[tuple(mention_to_gold[m])] += 1
for c2, count in gold_counts.items():
correct += count * count
num += correct / float(len(c))
dem += len(c)
return num, dem
def muc(clusters, mention_to_gold):
tp, p = 0, 0
for c in clusters:
p += len(c) - 1
tp += len(c)
linked = set()
for m in c:
if m in mention_to_gold:
linked.add(mention_to_gold[m])
else:
tp -= 1
tp -= len(linked)
return tp, p
def phi4(c1, c2):
return 2 * len([m for m in c1 if m in c2]) / float(len(c1) + len(c2))
def ceafe(clusters, gold_clusters):
scores = np.zeros((len(gold_clusters), len(clusters)))
for i in range(len(gold_clusters)):
for j in range(len(clusters)):
scores[i, j] = phi4(gold_clusters[i], clusters[j])
matching = np.stack(linear_assignment(-scores), axis=1)
similarity = sum(scores[matching[:, 0], matching[:, 1]])
return similarity, len(clusters), similarity, len(gold_clusters)
def lea(clusters, mention_to_gold):
num, dem = 0, 0
for c in clusters:
if len(c) == 1:
continue
common_links = 0
all_links = len(c) * (len(c) - 1) / 2.0
for i, m in enumerate(c):
if m in mention_to_gold:
for m2 in c[i + 1:]:
if m2 in mention_to_gold and mention_to_gold[m] == mention_to_gold[m2]:
common_links += 1
num += len(c) * common_links / float(all_links)
dem += len(c)
return num, dem
def em(clusters, gold_clusters):
pn, pd = 0, 0
for cluster in clusters:
if cluster in gold_clusters:
pn += 1
pd += 1
rn, rd = 0, 0
for cluster in gold_clusters:
if cluster in clusters:
rn += 1
rd += 1
return pn, pd, rn, rd