# Natural Language Toolkit: Collocations and Association Measures # # Copyright (C) 2001-2010 NLTK Project # Author: Joel Nothman # URL: # For license information, see LICENSE.TXT # """ Tools to identify X{collocation}s --- words that often appear consecutively --- within corpora. They may also be used to find other X{association}s between word occurrences. See Manning and Schutze ch. 5 at http://nlp.stanford.edu/fsnlp/promo/colloc.pdf and the Text::NSP Perl package at http://ngram.sourceforge.net Finding collocations requires first calculating the frequencies of words and their appearance in the context of other words. Often the collection of words will then requiring filtering to only retain useful content terms. Each ngram of words may then be scored according to some X{association measure}, in order to determine the relative likelihood of each ngram being a collocation. The L{BigramCollocationFinder} and L{TrigramCollocationFinder} classes provide these functionalities, dependent on being provided a function which scores a ngram given appropriate frequency counts. A number of standard association measures are provided in L{bigram_measures} and L{trigram_measures}. """ # Possible TODOs: # - consider the distinction between f(x,_) and f(x) and whether our # approximation is good enough for fragmented data, and mention it # - add a n-gram collocation finder with measures which only utilise n-gram # and unigram counts (raw_freq, pmi, student_t) import itertools as _itertools from operator import itemgetter as _itemgetter from nltk.compat import any from nltk.probability import FreqDist from nltk.util import ingrams from nltk.metrics import ContingencyMeasures, BigramAssocMeasures, TrigramAssocMeasures from nltk.metrics.spearman import * class AbstractCollocationFinder(object): """ An abstract base class for X{collocation finder}s whose purpose is to collect collocation candidate frequencies, filter and rank them. """ def __init__(self, word_fd, ngram_fd): """As a minimum, collocation finders require the frequencies of each word in a corpus, and the joint frequency of word tuples. This data should be provided through L{nltk.probability.FreqDist} objects or an identical interface. """ self.word_fd = word_fd self.ngram_fd = ngram_fd @classmethod def from_documents(cls, documents): """Constructs a collocation finder given a collection of documents, each of which is a list (or iterable) of tokens. """ return cls.from_words(_itertools.chain(*documents)) @staticmethod def _ngram_freqdist(words, n): return FreqDist(tuple(words[i:i+n]) for i in range(len(words)-1)) def _apply_filter(self, fn=lambda ngram, freq: False): """Generic filter removes ngrams from the frequency distribution if the function returns True when passed an ngram tuple. """ for ngram, freq in self.ngram_fd.items(): if fn(ngram, freq): try: del self.ngram_fd[ngram] except KeyError: pass def apply_freq_filter(self, min_freq): """Removes candidate ngrams which have frequency less than min_freq.""" self._apply_filter(lambda ng, freq: freq < min_freq) def apply_ngram_filter(self, fn): """Removes candidate ngrams (w1, w2, ...) where fn(w1, w2, ...) evaluates to True. """ self._apply_filter(lambda ng, f: fn(*ng)) def apply_word_filter(self, fn): """Removes candidate ngrams (w1, w2, ...) where any of (fn(w1), fn(w2), ...) evaluates to True. """ self._apply_filter(lambda ng, f: any(fn(w) for w in ng)) def _score_ngrams(self, score_fn): """Generates of (ngram, score) pairs as determined by the scoring function provided. """ for tup in self.ngram_fd: score = self.score_ngram(score_fn, *tup) if score is not None: yield tup, score def score_ngrams(self, score_fn): """Returns a sequence of (ngram, score) pairs ordered from highest to lowest score, as determined by the scoring function provided. """ return sorted(self._score_ngrams(score_fn), key=_itemgetter(1), reverse=True) def nbest(self, score_fn, n): """Returns the top n ngrams when scored by the given function.""" return [p for p,s in self.score_ngrams(score_fn)[:n]] def above_score(self, score_fn, min_score): """Returns a sequence of ngrams, ordered by decreasing score, whose scores each exceed the given minimum score. """ for ngram, score in self.score_ngrams(score_fn): if score > min_score: yield ngram else: break class BigramCollocationFinder(AbstractCollocationFinder): """A tool for the finding and ranking of bigram collocations or other association measures. It is often useful to use from_words() rather than constructing an instance directly. """ @classmethod def from_words(cls, words, window_size=2): """Construct a BigramCollocationFinder for all bigrams in the given sequence. By default, bigrams must be contiguous. """ wfd = FreqDist() bfd = FreqDist() if window_size < 2: raise ValueError, "Specify window_size at least 2" for window in ingrams(words, window_size, pad_right=True): w1 = window[0] wfd.inc(w1) for w2 in window[1:]: if w2 is not None: bfd.inc((w1, w2)) return cls(wfd, bfd) def score_ngram(self, score_fn, w1, w2): """Returns the score for a given bigram using the given scoring function. """ n_all = self.word_fd.N() n_ii = self.ngram_fd[(w1, w2)] if not n_ii: return n_ix = self.word_fd[w1] n_xi = self.word_fd[w2] return score_fn(n_ii, (n_ix, n_xi), n_all) class TrigramCollocationFinder(AbstractCollocationFinder): """A tool for the finding and ranking of bigram collocations or other association measures. It is often useful to use from_words() rather than constructing an instance directly. """ def __init__(self, word_fd, bigram_fd, wildcard_fd, trigram_fd): """Construct a TrigramCollocationFinder, given FreqDists for appearances of words, bigrams, two words with any word between them, and trigrams. """ AbstractCollocationFinder.__init__(self, word_fd, trigram_fd) self.wildcard_fd = wildcard_fd self.bigram_fd = bigram_fd @classmethod def from_words(cls, words): """Construct a TrigramCollocationFinder for all trigrams in the given sequence. """ wfd = FreqDist() wildfd = FreqDist() bfd = FreqDist() tfd = FreqDist() for w1, w2, w3 in ingrams(words, 3, pad_right=True): wfd.inc(w1) if w2 is None: continue bfd.inc((w1, w2)) if w3 is None: continue wildfd.inc((w1, w3)) tfd.inc((w1, w2, w3)) return cls(wfd, bfd, wildfd, tfd) def bigram_finder(self): """Constructs a bigram collocation finder with the bigram and unigram data from this finder. Note that this does not include any filtering applied to this finder. """ return BigramCollocationFinder(self.word_fd, self.bigram_fd) def score_ngram(self, score_fn, w1, w2, w3): """Returns the score for a given trigram using the given scoring function. """ n_all = self.word_fd.N() n_iii = self.ngram_fd[(w1, w2, w3)] if not n_iii: return n_iix = self.bigram_fd[(w1, w2)] n_ixi = self.wildcard_fd[(w1, w3)] n_xii = self.bigram_fd[(w2, w3)] n_ixx = self.word_fd[w1] n_xix = self.word_fd[w2] n_xxi = self.word_fd[w3] return score_fn(n_iii, (n_iix, n_ixi, n_xii), (n_ixx, n_xix, n_xxi), n_all) def demo(scorer=None, compare_scorer=None): """Finds trigram collocations in the files of the WebText corpus.""" from nltk.metrics import BigramAssocMeasures, spearman_correlation, ranks_from_scores if scorer is None: scorer = BigramAssocMeasures.likelihood_ratio if compare_scorer is None: compare_scorer = BigramAssocMeasures.raw_freq from nltk import corpus ignored_words = corpus.stopwords.words('english') word_filter = lambda w: len(w) < 3 or w.lower() in ignored_words for file in corpus.webtext.files(): words = [word.lower() for word in corpus.webtext.words(file)] cf = BigramCollocationFinder.from_words(words) cf.apply_freq_filter(3) cf.apply_word_filter(word_filter) print file print '\t', [' '.join(tup) for tup in cf.nbest(scorer, 15)] print '\t Correlation to %s: %0.4f' % (compare_scorer.__name__, spearman_correlation( ranks_from_scores(cf.score_ngrams(scorer)), ranks_from_scores(cf.score_ngrams(compare_scorer)))) # Slows down loading too much # bigram_measures = BigramAssocMeasures() # trigram_measures = TrigramAssocMeasures() if __name__ == '__main__': import sys from nltk.metrics import BigramAssocMeasures try: scorer = eval('BigramAssocMeasures.' + sys.argv[1]) except IndexError: scorer = None try: compare_scorer = eval('BigramAssocMeasures.' + sys.argv[2]) except IndexError: compare_scorer = None demo(scorer, compare_scorer) __all__ = ['BigramCollocationFinder', 'TrigramCollocationFinder']