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# Natural Language Toolkit: Machine Translation
#
# Copyright (C) 2001-2023 NLTK Project
# Author: Uday Krishna <udaykrishna5@gmail.com>
# Contributor: Tom Aarsen
# URL: <https://www.nltk.org/>
# For license information, see LICENSE.TXT
from itertools import chain, product
from typing import Callable, Iterable, List, Tuple
from nltk.corpus import WordNetCorpusReader, wordnet
from nltk.stem.api import StemmerI
from nltk.stem.porter import PorterStemmer
def _generate_enums(
hypothesis: Iterable[str],
reference: Iterable[str],
preprocess: Callable[[str], str] = str.lower,
) -> Tuple[List[Tuple[int, str]], List[Tuple[int, str]]]:
"""
Takes in pre-tokenized inputs for hypothesis and reference and returns
enumerated word lists for each of them
:param hypothesis: pre-tokenized hypothesis
:param reference: pre-tokenized reference
:preprocess: preprocessing method (default str.lower)
:return: enumerated words list
"""
if isinstance(hypothesis, str):
raise TypeError(
f'"hypothesis" expects pre-tokenized hypothesis (Iterable[str]): {hypothesis}'
)
if isinstance(reference, str):
raise TypeError(
f'"reference" expects pre-tokenized reference (Iterable[str]): {reference}'
)
enum_hypothesis_list = list(enumerate(map(preprocess, hypothesis)))
enum_reference_list = list(enumerate(map(preprocess, reference)))
return enum_hypothesis_list, enum_reference_list
def exact_match(
hypothesis: Iterable[str], reference: Iterable[str]
) -> Tuple[List[Tuple[int, int]], List[Tuple[int, str]], List[Tuple[int, str]]]:
"""
matches exact words in hypothesis and reference
and returns a word mapping based on the enumerated
word id between hypothesis and reference
:param hypothesis: pre-tokenized hypothesis
:param reference: pre-tokenized reference
:return: enumerated matched tuples, enumerated unmatched hypothesis tuples,
enumerated unmatched reference tuples
"""
enum_hypothesis_list, enum_reference_list = _generate_enums(hypothesis, reference)
return _match_enums(enum_hypothesis_list, enum_reference_list)
def _match_enums(
enum_hypothesis_list: List[Tuple[int, str]],
enum_reference_list: List[Tuple[int, str]],
) -> Tuple[List[Tuple[int, int]], List[Tuple[int, str]], List[Tuple[int, str]]]:
"""
matches exact words in hypothesis and reference and returns
a word mapping between enum_hypothesis_list and enum_reference_list
based on the enumerated word id.
:param enum_hypothesis_list: enumerated hypothesis list
:param enum_reference_list: enumerated reference list
:return: enumerated matched tuples, enumerated unmatched hypothesis tuples,
enumerated unmatched reference tuples
"""
word_match = []
for i in range(len(enum_hypothesis_list))[::-1]:
for j in range(len(enum_reference_list))[::-1]:
if enum_hypothesis_list[i][1] == enum_reference_list[j][1]:
word_match.append(
(enum_hypothesis_list[i][0], enum_reference_list[j][0])
)
enum_hypothesis_list.pop(i)
enum_reference_list.pop(j)
break
return word_match, enum_hypothesis_list, enum_reference_list
def _enum_stem_match(
enum_hypothesis_list: List[Tuple[int, str]],
enum_reference_list: List[Tuple[int, str]],
stemmer: StemmerI = PorterStemmer(),
) -> Tuple[List[Tuple[int, int]], List[Tuple[int, str]], List[Tuple[int, str]]]:
"""
Stems each word and matches them in hypothesis and reference
and returns a word mapping between enum_hypothesis_list and
enum_reference_list based on the enumerated word id. The function also
returns a enumerated list of unmatched words for hypothesis and reference.
:param enum_hypothesis_list: enumerated hypothesis list
:param enum_reference_list: enumerated reference list
:param stemmer: nltk.stem.api.StemmerI object (default PorterStemmer())
:return: enumerated matched tuples, enumerated unmatched hypothesis tuples,
enumerated unmatched reference tuples
"""
stemmed_enum_hypothesis_list = [
(word_pair[0], stemmer.stem(word_pair[1])) for word_pair in enum_hypothesis_list
]
stemmed_enum_reference_list = [
(word_pair[0], stemmer.stem(word_pair[1])) for word_pair in enum_reference_list
]
return _match_enums(stemmed_enum_hypothesis_list, stemmed_enum_reference_list)
def stem_match(
hypothesis: Iterable[str],
reference: Iterable[str],
stemmer: StemmerI = PorterStemmer(),
) -> Tuple[List[Tuple[int, int]], List[Tuple[int, str]], List[Tuple[int, str]]]:
"""
Stems each word and matches them in hypothesis and reference
and returns a word mapping between hypothesis and reference
:param hypothesis: pre-tokenized hypothesis
:param reference: pre-tokenized reference
:param stemmer: nltk.stem.api.StemmerI object (default PorterStemmer())
:return: enumerated matched tuples, enumerated unmatched hypothesis tuples,
enumerated unmatched reference tuples
"""
enum_hypothesis_list, enum_reference_list = _generate_enums(hypothesis, reference)
return _enum_stem_match(enum_hypothesis_list, enum_reference_list, stemmer=stemmer)
def _enum_wordnetsyn_match(
enum_hypothesis_list: List[Tuple[int, str]],
enum_reference_list: List[Tuple[int, str]],
wordnet: WordNetCorpusReader = wordnet,
) -> Tuple[List[Tuple[int, int]], List[Tuple[int, str]], List[Tuple[int, str]]]:
"""
Matches each word in reference to a word in hypothesis
if any synonym of a hypothesis word is the exact match
to the reference word.
:param enum_hypothesis_list: enumerated hypothesis list
:param enum_reference_list: enumerated reference list
:param wordnet: a wordnet corpus reader object (default nltk.corpus.wordnet)
"""
word_match = []
for i in range(len(enum_hypothesis_list))[::-1]:
hypothesis_syns = set(
chain.from_iterable(
(
lemma.name()
for lemma in synset.lemmas()
if lemma.name().find("_") < 0
)
for synset in wordnet.synsets(enum_hypothesis_list[i][1])
)
).union({enum_hypothesis_list[i][1]})
for j in range(len(enum_reference_list))[::-1]:
if enum_reference_list[j][1] in hypothesis_syns:
word_match.append(
(enum_hypothesis_list[i][0], enum_reference_list[j][0])
)
enum_hypothesis_list.pop(i)
enum_reference_list.pop(j)
break
return word_match, enum_hypothesis_list, enum_reference_list
def wordnetsyn_match(
hypothesis: Iterable[str],
reference: Iterable[str],
wordnet: WordNetCorpusReader = wordnet,
) -> Tuple[List[Tuple[int, int]], List[Tuple[int, str]], List[Tuple[int, str]]]:
"""
Matches each word in reference to a word in hypothesis if any synonym
of a hypothesis word is the exact match to the reference word.
:param hypothesis: pre-tokenized hypothesis
:param reference: pre-tokenized reference
:param wordnet: a wordnet corpus reader object (default nltk.corpus.wordnet)
:return: list of mapped tuples
"""
enum_hypothesis_list, enum_reference_list = _generate_enums(hypothesis, reference)
return _enum_wordnetsyn_match(
enum_hypothesis_list, enum_reference_list, wordnet=wordnet
)
def _enum_align_words(
enum_hypothesis_list: List[Tuple[int, str]],
enum_reference_list: List[Tuple[int, str]],
stemmer: StemmerI = PorterStemmer(),
wordnet: WordNetCorpusReader = wordnet,
) -> Tuple[List[Tuple[int, int]], List[Tuple[int, str]], List[Tuple[int, str]]]:
"""
Aligns/matches words in the hypothesis to reference by sequentially
applying exact match, stemmed match and wordnet based synonym match.
in case there are multiple matches the match which has the least number
of crossing is chosen. Takes enumerated list as input instead of
string input
:param enum_hypothesis_list: enumerated hypothesis list
:param enum_reference_list: enumerated reference list
:param stemmer: nltk.stem.api.StemmerI object (default PorterStemmer())
:param wordnet: a wordnet corpus reader object (default nltk.corpus.wordnet)
:return: sorted list of matched tuples, unmatched hypothesis list,
unmatched reference list
"""
exact_matches, enum_hypothesis_list, enum_reference_list = _match_enums(
enum_hypothesis_list, enum_reference_list
)
stem_matches, enum_hypothesis_list, enum_reference_list = _enum_stem_match(
enum_hypothesis_list, enum_reference_list, stemmer=stemmer
)
wns_matches, enum_hypothesis_list, enum_reference_list = _enum_wordnetsyn_match(
enum_hypothesis_list, enum_reference_list, wordnet=wordnet
)
return (
sorted(
exact_matches + stem_matches + wns_matches, key=lambda wordpair: wordpair[0]
),
enum_hypothesis_list,
enum_reference_list,
)
def align_words(
hypothesis: Iterable[str],
reference: Iterable[str],
stemmer: StemmerI = PorterStemmer(),
wordnet: WordNetCorpusReader = wordnet,
) -> Tuple[List[Tuple[int, int]], List[Tuple[int, str]], List[Tuple[int, str]]]:
"""
Aligns/matches words in the hypothesis to reference by sequentially
applying exact match, stemmed match and wordnet based synonym match.
In case there are multiple matches the match which has the least number
of crossing is chosen.
:param hypothesis: pre-tokenized hypothesis
:param reference: pre-tokenized reference
:param stemmer: nltk.stem.api.StemmerI object (default PorterStemmer())
:param wordnet: a wordnet corpus reader object (default nltk.corpus.wordnet)
:return: sorted list of matched tuples, unmatched hypothesis list, unmatched reference list
"""
enum_hypothesis_list, enum_reference_list = _generate_enums(hypothesis, reference)
return _enum_align_words(
enum_hypothesis_list, enum_reference_list, stemmer=stemmer, wordnet=wordnet
)
def _count_chunks(matches: List[Tuple[int, int]]) -> int:
"""
Counts the fewest possible number of chunks such that matched unigrams
of each chunk are adjacent to each other. This is used to calculate the
fragmentation part of the metric.
:param matches: list containing a mapping of matched words (output of align_words)
:return: Number of chunks a sentence is divided into post alignment
"""
i = 0
chunks = 1
while i < len(matches) - 1:
if (matches[i + 1][0] == matches[i][0] + 1) and (
matches[i + 1][1] == matches[i][1] + 1
):
i += 1
continue
i += 1
chunks += 1
return chunks
def single_meteor_score(
reference: Iterable[str],
hypothesis: Iterable[str],
preprocess: Callable[[str], str] = str.lower,
stemmer: StemmerI = PorterStemmer(),
wordnet: WordNetCorpusReader = wordnet,
alpha: float = 0.9,
beta: float = 3.0,
gamma: float = 0.5,
) -> float:
"""
Calculates METEOR score for single hypothesis and reference as per
"Meteor: An Automatic Metric for MT Evaluation with HighLevels of
Correlation with Human Judgments" by Alon Lavie and Abhaya Agarwal,
in Proceedings of ACL.
https://www.cs.cmu.edu/~alavie/METEOR/pdf/Lavie-Agarwal-2007-METEOR.pdf
>>> hypothesis1 = ['It', 'is', 'a', 'guide', 'to', 'action', 'which', 'ensures', 'that', 'the', 'military', 'always', 'obeys', 'the', 'commands', 'of', 'the', 'party']
>>> reference1 = ['It', 'is', 'a', 'guide', 'to', 'action', 'that', 'ensures', 'that', 'the', 'military', 'will', 'forever', 'heed', 'Party', 'commands']
>>> round(single_meteor_score(reference1, hypothesis1),4)
0.6944
If there is no words match during the alignment the method returns the
score as 0. We can safely return a zero instead of raising a
division by zero error as no match usually implies a bad translation.
>>> round(single_meteor_score(['this', 'is', 'a', 'cat'], ['non', 'matching', 'hypothesis']),4)
0.0
:param reference: pre-tokenized reference
:param hypothesis: pre-tokenized hypothesis
:param preprocess: preprocessing function (default str.lower)
:param stemmer: nltk.stem.api.StemmerI object (default PorterStemmer())
:param wordnet: a wordnet corpus reader object (default nltk.corpus.wordnet)
:param alpha: parameter for controlling relative weights of precision and recall.
:param beta: parameter for controlling shape of penalty as a
function of as a function of fragmentation.
:param gamma: relative weight assigned to fragmentation penalty.
:return: The sentence-level METEOR score.
"""
enum_hypothesis, enum_reference = _generate_enums(
hypothesis, reference, preprocess=preprocess
)
translation_length = len(enum_hypothesis)
reference_length = len(enum_reference)
matches, _, _ = _enum_align_words(
enum_hypothesis, enum_reference, stemmer=stemmer, wordnet=wordnet
)
matches_count = len(matches)
try:
precision = float(matches_count) / translation_length
recall = float(matches_count) / reference_length
fmean = (precision * recall) / (alpha * precision + (1 - alpha) * recall)
chunk_count = float(_count_chunks(matches))
frag_frac = chunk_count / matches_count
except ZeroDivisionError:
return 0.0
penalty = gamma * frag_frac**beta
return (1 - penalty) * fmean
def meteor_score(
references: Iterable[Iterable[str]],
hypothesis: Iterable[str],
preprocess: Callable[[str], str] = str.lower,
stemmer: StemmerI = PorterStemmer(),
wordnet: WordNetCorpusReader = wordnet,
alpha: float = 0.9,
beta: float = 3.0,
gamma: float = 0.5,
) -> float:
"""
Calculates METEOR score for hypothesis with multiple references as
described in "Meteor: An Automatic Metric for MT Evaluation with
HighLevels of Correlation with Human Judgments" by Alon Lavie and
Abhaya Agarwal, in Proceedings of ACL.
https://www.cs.cmu.edu/~alavie/METEOR/pdf/Lavie-Agarwal-2007-METEOR.pdf
In case of multiple references the best score is chosen. This method
iterates over single_meteor_score and picks the best pair among all
the references for a given hypothesis
>>> hypothesis1 = ['It', 'is', 'a', 'guide', 'to', 'action', 'which', 'ensures', 'that', 'the', 'military', 'always', 'obeys', 'the', 'commands', 'of', 'the', 'party']
>>> hypothesis2 = ['It', 'is', 'to', 'insure', 'the', 'troops', 'forever', 'hearing', 'the', 'activity', 'guidebook', 'that', 'party', 'direct']
>>> reference1 = ['It', 'is', 'a', 'guide', 'to', 'action', 'that', 'ensures', 'that', 'the', 'military', 'will', 'forever', 'heed', 'Party', 'commands']
>>> reference2 = ['It', 'is', 'the', 'guiding', 'principle', 'which', 'guarantees', 'the', 'military', 'forces', 'always', 'being', 'under', 'the', 'command', 'of', 'the', 'Party']
>>> reference3 = ['It', 'is', 'the', 'practical', 'guide', 'for', 'the', 'army', 'always', 'to', 'heed', 'the', 'directions', 'of', 'the', 'party']
>>> round(meteor_score([reference1, reference2, reference3], hypothesis1),4)
0.6944
If there is no words match during the alignment the method returns the
score as 0. We can safely return a zero instead of raising a
division by zero error as no match usually implies a bad translation.
>>> round(meteor_score([['this', 'is', 'a', 'cat']], ['non', 'matching', 'hypothesis']),4)
0.0
:param references: pre-tokenized reference sentences
:param hypothesis: a pre-tokenized hypothesis sentence
:param preprocess: preprocessing function (default str.lower)
:param stemmer: nltk.stem.api.StemmerI object (default PorterStemmer())
:param wordnet: a wordnet corpus reader object (default nltk.corpus.wordnet)
:param alpha: parameter for controlling relative weights of precision and recall.
:param beta: parameter for controlling shape of penalty as a function
of as a function of fragmentation.
:param gamma: relative weight assigned to fragmentation penalty.
:return: The sentence-level METEOR score.
"""
return max(
single_meteor_score(
reference,
hypothesis,
preprocess=preprocess,
stemmer=stemmer,
wordnet=wordnet,
alpha=alpha,
beta=beta,
gamma=gamma,
)
for reference in references
)