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%%capture
%load_ext autoreload
%autoreload 2
%matplotlib inline
# %cd ..
import sys
sys.path.append("..")
import random
import statnlpbook.util as util
import matplotlib
matplotlib.rcParams['figure.figsize'] = (10.0, 5.0)
import random
from collections import defaultdict
random.seed(2)
%%HTML
<style>
td,th {
font-size: x-large;
text-align: left;
}
</style>
Automatically classify input text into a set of atomic (discrete) classes
Let us focus on a specific task: sentiment analysis
from os import listdir
from os.path import isfile, join
def load_from_dir(directory,label):
"""
Load documents from a directory, and give them all the same label `label`.
Params:
directory: the directory to load the documents from.
label: the label to assign to each document.
Returns:
a list of (x,y) pairs where x is a tokenised document (list of words), and y is the label `label`.
"""
result = []
for file in listdir(directory):
with open(directory + file, 'r') as f:
text = f.read()
tokens = [t.strip() for t in text.split()]
result.append((tokens,label))
return result
data_pos = load_from_dir('../data/rt-2k/txt_sentoken/pos/', 'pos')
data_neg = load_from_dir('../data/rt-2k/txt_sentoken/neg/', 'neg')
data_all = data_pos + data_neg
Let us look at some example data ...
" ".join(data_pos[4][0][110:199])
"charmingly effective romantic drama , this film offers insight into various types of relationships , presents us with interesting characters and excellent performances from the cast , and scratches beneath the surface of love and its many complex subtleties . how do people fall in love ? why do people fall out of love ? how do people fall back into love , once they've been hurt and left to join the lonely hearts club ? all of these questions and more , are touched upon in this film"
" ".join(data_neg[5][0][:200])
"to watch `battlefield earth' is to wallow in misery . it is one of the most ludicrously conceived efforts in recent history . it has a clumsily told story , insipid dialogue , shallow characterizations , ugly scene transitions , no evidence of dramatic arc , headache-inducing sound effects , and a resolution that is completely implausible . worse , there's the promise of a sequel . why ? ! save your money . some films go quickly to video . this one , however , should go straight to the sci-fi channel's `mystery science theatre . ' in the year 3000 , man has become an endangered species . most of humanity ( called ? man-animals' ) was destroyed generations ago in a battle against a race of plundering aliens ( called psychlos ) . survivors have either taken up shelter in caves or were enslaved to mine earth's resources for the rest of their lives . the aliens are a menacing looking humanoid species that stand nine-feet tall , who resemble inbred klingons . dimwitted as they are tall , their culture is predicated on power , extortion , and getting ? leverage . ' travolta , the"
The task: given the review text, return its sentiment. Can we write a program to solve this?
def rule_based_classifier(text):
text = text.lower()
if "charming" in text or "i love" in text:
return "positive"
elif "misery" in text or ("bad" in text and not "not bad" in text):
return "negative"
else
return "neutral"
A common approach is to use a sentiment lexicon: collection of all positive words and negative words.
Word | Sentiment Score |
---|---|
Amazing | 0.8 |
Good | 0.5 |
Average | 0.0 |
Bad | -0.5 |
Terrible | -0.8 |
Besides checking for the presence of words, we can also consider
What limitations does the rule-based approach to text classification have?
Discuss and enter your answer(s) here: https://ucph.page.link/nlp_q3
Use data to learn how to estimate probabilities algorithmically - machine learning approach.
Frame the task as an optimisation problem and maximise the probability of the training set give the classifier parameters $\params$.
maximise $\prob_\params(\text{correct label} \bar \text{text})$
Maximise the likelihood of the correct labels (given the input), or equivalently,
Minimise the negative log-likelihood of the correct labels
$$ \mathcal{L}(\params) = -\sum_{(\x,y) \in \train} \log\left(\prob(y|\x)\right) $$Model the score as
$$ s_\theta(y_i, \x) = \frac{\exp(\weights_i f(\x, y_i))}{\sum_{j=1}^C \exp(\weights_j f(\x, y_j))} $$This is also often called softmax.
For log-linear models we need feature functions $f_i(\x, y)$ mapping input to a real value.
For simplicity $f_i(\x, y)$ depends only on $\x$, e.g.,
$$ f_{\text{Pulp}}(\x) = \counts{\x}{\text{Pulp}} $$i.e., the number of times Pulp appears in the input $\x$.
p,f = "Pulp", "Fiction"
data = [((p,f),True),((p,f),True),((p,f),True), ((f,),False), ((f,),False),((p,f),False)]
data
[(('Pulp', 'Fiction'), True), (('Pulp', 'Fiction'), True), (('Pulp', 'Fiction'), True), (('Fiction',), False), (('Fiction',), False), (('Pulp', 'Fiction'), False)]
def count_p(x):
return len([w for w in x if w==p])
def count_f(x):
return len([w for w in x if w==f])
[(count_p(x), count_f(x)) for x, _ in data]
[(1, 1), (1, 1), (1, 1), (0, 1), (0, 1), (1, 1)]
from math import log, exp
def nll(data, w_p_true, w_f_true, w_true, l=0.0):
loss = 0.0
for x,y in data:
score_true = w_true + count_p(x) * w_p_true + count_f(x) * w_f_true
log_z = log(exp(score_true) + exp(0))
if y:
loss += score_true - log_z
else:
loss += -log_z
return l * (w_p_true * w_p_true + w_f_true * w_f_true + w_true * w_true) - loss
import matplotlib.pyplot as plt
import numpy as np
No closed form solution
Use iterative methods such as (Stochastic) Gradient Descent (SGD)
"Easy" because the loss is a convex function of the weights $\weights$
x = np.linspace(-10, 10, 100)
C = 1
nll_loss = np.vectorize(lambda w: nll(data,w,log(0.5),log(0.5),1/C))
plt.plot(x, nll_loss(x))
[<matplotlib.lines.Line2D at 0x7fc8bca74580>]
In practice one of the following:
Estimating a log-linear models can lead to overfitting
Regularise the model by penalising large weights:
The hyperparameter $\alpha$ controls strength of regularisation:
$$ \mathcal{L}^1_\alpha(\params) = \mathcal{L}(\params) + \alpha ||\params||_1 $$$$ \mathcal{L}^2_\alpha(\params) = \mathcal{L}(\params) + \alpha ||\params||_2 $$Both L1 and L2 have their strength and weaknesses.
A log-linear model trained by minimising the NLL corresponds to training a logistic regression model
(or equivalently, a one-layer neural network)
The logistic regression model is implemented in scikit-learn. Let's use it to implement a simple classifier:
Divide dataset to train, test and development (validation) sets
random.seed(0)
shuffled = list(data_all)
random.shuffle(shuffled)
train, dev, test = shuffled[:1600], shuffled[1600:1800], shuffled[1800:]
split = {"train": train, "dev": dev, "test": test}
{name: {label: sum(1 for (x,y) in data if y == label) for label in ("pos", "neg")} for name, data in split.items()}
{'train': {'pos': 815, 'neg': 785}, 'dev': {'pos': 95, 'neg': 105}, 'test': {'pos': 90, 'neg': 110}}
Convert $\x \in \Xs$ to a (sparse) feature vector $\mathbf{f}(\x)$:
from collections import Counter
def feats(x):
return Counter(x)
x = ['pulp','fiction','fiction']
print(f"x = {x}")
print(f"f(x) = {feats(x)}")
x = ['pulp', 'fiction', 'fiction'] f(x) = Counter({'fiction': 2, 'pulp': 1})
Apply to training and validation instances:
from sklearn.feature_extraction import DictVectorizer
vectorizer = DictVectorizer()
train_X = vectorizer.fit_transform([feats(x) for x,_ in train])
dev_X = vectorizer.transform([feats(x) for x,_ in dev])
print(f"x = {dev[0][0]}")
x = ['i', 'remember', 'making', 'a', 'pact', ',', 'right', 'after', '`patch', "adams'", ',', 'to', 'not', 'be', 'easily', 'be', 'suckered', 'by', 'movies', 'dripping', 'with', 'sentimentality', '.', 'but', 'darn', 'it', ',', '`music', 'of', 'the', "heart'", 'is', 'just', 'layered', 'with', 'feel-good', 'material', 'and', 'bright', 'characterizations', '.', "it's", 'hard', 'to', 'dislike', 'a', 'movie', 'that', 'uses', 'such', 'skill', 'with', "it's", 'manipulation', '.', 'in', 'addition', ',', "it's", 'also', 'a', 'terrific', 'family', 'film', '.', 'this', 'is', 'the', 'true', 'story', 'of', 'violin', 'teacher', 'roberta', 'guaspari', ',', 'who', 'fought', 'the', 'school', 'board', 'to', 'keep', 'the', 'musical', 'program', 'active', 'in', 'a', 'handful', 'of', 'inner', 'city', 'harlem', 'schools', '.', 'it', 'could', 'also', 'be', 'described', 'as', '`mrs', '.', "streep's", "opus'", '.', 'yes', ',', 'meryl', 'streep', 'brings', 'her', 'dramatic', 'clout', 'to', 'the', 'demanding', 'role', 'of', 'guaspari', ',', 'and', 'that', 'brings', 'both', 'good', 'news', 'and', 'bad', '.', 'out', 'of', 'the', 'gate', ',', 'possibly', 'because', 'of', 'her', 'distracting', 'star', 'power', 'and', 'the', 'rushed', 'writing', ',', 'it', 'is', 'relatively', 'difficult', 'to', 'identify', 'with', "roberta's", 'character', 'and', 'grasp', 'her', 'academic', 'point-of-view', '.', 'she', 'is', 'very', 'strict', 'with', 'her', 'students', ',', 'but', 'what', 'insight', 'does', 'that', 'create', 'into', 'the', 'story', '?', 'slowly', 'but', 'surely', ',', 'we', 'begin', 'to', 'recognize', 'the', 'intentions', 'of', 'the', 'character', ',', 'and', 'show', 'admiration', 'for', 'the', 'thoughtfulness', 'and', 'human', 'feeling', 'that', 'streep', 'has', 'once', 'again', 'applied', '.', 'one', 'thoroughly', 'interesting', 'fact', 'about', '`music', 'of', 'the', "heart'", 'lies', 'with', 'the', 'unlikely', 'presence', 'in', 'the', "director's", 'chair', ':', 'horror', 'veteran', 'wes', 'craven', '.', 'after', 'leaving', 'an', 'impression', 'with', 'the', "`scream'", 'films', 'and', 'the', 'original', '`nightmare', 'on', 'elm', "street'", ',', 'craven', 'has', 'attempted', 'a', 'precarious', 'cross-over', 'to', 'drama', '.', 'at', 'first', ',', 'his', 'inexperience', 'with', 'the', 'genre', 'is', 'fairly', 'obvious', ',', 'but', 'as', 'the', 'film', 'progresses', 'craven', 'finds', 'a', 'surprisingly', 'comfortable', 'niche', 'with', 'directing', 'this', 'material', '.', 'it', "doesn't", 'carry', 'the', 'heart-warming', 'courage', 'of', '`mr', '.', "holland's", "opus'", ',', 'but', '`music', 'of', 'the', "heart'", 'is', 'casually', 'assured', 'and', 'filled', 'with', 'little', 'morsels', 'of', 'dramatic', 'truth', '.', 'the', 'tag', 'team', 'of', 'streep', 'and', 'craven', 'works', 'better', 'than', 'you', 'would', 'anticipate', '.', 'yes', ',', 'oscar', 'could', 'come', 'calling', 'once', 'again', 'for', 'meryl', 'streep', ',', 'but', "it's", 'the', 'solid', 'ensemble', 'cast', 'that', 'makes', '`music', 'of', 'the', "heart'", 'work', '.', 'angela', 'bassett', 'displays', 'her', 'usual', 'forceful', 'stamina', 'as', 'janet', 'williams', ',', 'the', 'principal', 'at', 'an', 'inner', 'city', 'school', 'who', 'initially', "doesn't", 'hire', 'roberta', 'because', 'of', 'her', 'lack', 'of', 'experience', '.', 'blue-eyed', 'adian', 'quinn', 'is', 'endearing', ',', 'as', 'always', ',', 'playing', 'a', 'new', 'love', 'interest', '.', 'gloria', 'estefan', 'also', 'delivers', 'in', 'the', 'tiny', 'role', 'of', 'a', 'supportive', 'second-grade', 'teacher', ',', 'and', 'the', 'three', 'lead', 'actresses', 'together', 'produce', 'a', 'flaming', 'fireball', 'of', 'estrogenic', 'force', '.', "it's", 'like', 'a', "schoolteacher's", 'version', 'of', '`thelma', 'and', "louise'", ',', 'in', 'a', 'restrained', 'but', 'effective', 'manner', '.', 'the', 'movie', 'tackles', 'more', 'issues', 'than', 'just', "guaspari's", 'teaching', 'of', 'violin', '.', "there's", 'some', 'powerful', 'moments', 'between', 'roberta', 'and', 'her', 'two', 'sons', ',', 'who', 'must', 'cope', 'when', 'their', 'father', 'leaves', 'them', 'for', 'another', 'woman', '.', 'in', "it's", 'dramatic', 'build-up', ',', 'the', 'movie', 'manages', 'to', 'produce', 'some', 'authentic', 'moments', 'of', 'feeling', 'and', 'warmth', '.', "it's", 'a', 'good', 'movie', 'for', 'anyone', 'to', 'see', ',', 'although', 'missing', 'out', 'on', 'the', 'experience', 'would', 'not', 'be', 'a', 'life-altering', 'decision', '.', "it's", 'commendable', 'of', 'wes', 'craven', 'to', 'be', 'attempting', 'such', 'a', 'difficult', 'cross-over', ',', 'and', 'also', 'for', 'achieving', 'his', 'intricate', 'goal', '.', 'watching', 'this', 'heartfelt', 'chick', 'flick', 'about', 'morals', 'and', 'musical', 'instruments', ',', 'who', 'may', 'ask', 'yourself', ':', 'this', 'is', 'the', 'guy', 'who', 'directed', "`scream'", '?', 'of', 'course', ',', 'when', 'the', 'third', 'installment', 'of', 'that', 'series', 'comes', 'around', 'in', 'february', '2000', '(', 'with', 'craven', 'directing', ')', ',', 'you', 'may', 'find', 'yourself', 'wondering', ':', 'this', 'is', 'the', 'guy', 'who', 'directed', '`music', 'of', 'the', "heart'", '?', 'mission', 'accomplished', ',', 'wes', '.', 'thankfully', ',', 'there', 'is', 'no', 'layer', 'of', 'artificial', 'sentiment', 'covering', 'the', 'film', '.', 'in', "it's", 'entirety', ',', "it's", 'a', 'wholesome', 'and', 'agreeable', 'movie', 'for', 'the', 'whole', 'family', ',', 'despite', 'the', 'periodic', 'flaws', 'that', 'surface', 'every', 'once', 'in', 'awhile', '.', 'the', 'child', 'actors', 'are', 'cute', 'and', 'perform', 'up', 'to', 'par', ',', 'even', 'if', 'some', 'of', 'their', 'problems', 'are', 'clich', '?', 'd', 'and', 'predictable', 'in', 'the', 'extreme', '.', 'the', 'mother', 'who', "doesn't", 'want', 'her', 'son', 'to', 'be', 'learning', '`white', "man's", "music'", ',', 'the', 'unexpected', 'casuality', '.', '.', '.', 'basically', 'everything', 'is', 'there', '.', 'it', "doesn't", 'strike', 'the', 'perfect', 'chord', ',', 'but', '`music', 'of', 'the', "heart'", 'is', 'highly', 'convincing', '.', 'the', 'uplifting', 'true', 'story', 'of', 'roberta', 'guaspari', 'could', 'have', 'been', 'told', 'better', ',', 'but', '`music', 'of', 'the', "heart'", 'is', 'still', 'edifying', 'enough', 'to', 'properly', 'divulge', 'her', 'morals', '.']
print(f"f(x) = {list(map(int, dev_X[0].toarray()[0]))}")
f(x) = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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scikit-learn prefers numbers as classes:
from sklearn.preprocessing import LabelEncoder
label_encoder = LabelEncoder()
train_Y = label_encoder.fit_transform([y for _,y in train])
dev_Y = label_encoder.transform([y for _,y in dev])
print(f"first 10 labels in dev: {dev_Y[:10]}")
first 10 labels in dev: [1 1 0 0 0 1 0 0 1 1]
Train the logistic regression with L1 regularisation with $\frac{1}{\alpha}=C=1000$
from sklearn.linear_model import LogisticRegression
import numpy as np
lr = LogisticRegression(C=1000, penalty="l1", random_state=1, solver='liblinear')
lr.fit(train_X, train_Y)
LogisticRegression(C=1000, penalty='l1', random_state=1, solver='liblinear')In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
LogisticRegression(C=1000, penalty='l1', random_state=1, solver='liblinear')
Weights learned:
weights = vectorizer.inverse_transform(lr.coef_)[0]
sorted_weights = sorted(weights.items(), key=lambda t: t[1])
util.plot_bar_graph([w for _,w in sorted_weights[:20]],
[f for f,_ in sorted_weights[:20]],rotation=45)
More obvious discriminative features for the negative class
Positive weights?
util.plot_bar_graph([w for _,w in sorted_weights[-20:]],
[f for f,_ in sorted_weights[-20:]],rotation=45)
How can we quantify how well our models do?
Use accuracy, the ratio of the
$\hat{\y}$ is predicted sequence of labels, $\y$ the true labels:
def accuracy(gold, guess):
correct = 0
for y_gold,y_guess in zip(gold,guess):
if y_guess == y_gold:
correct += 1
return correct / len(gold)
train_Y_lex = [y for _,y in train]
dev_Y_lex = [y for _,y in dev]
lr = LogisticRegression(C=1000, penalty="l2",random_state=1, tol=0.00001, solver='liblinear')
lr.fit(train_X, train_Y)
lr_guess = label_encoder.inverse_transform(lr.predict(dev_X))
print(f"dev accuracy = {accuracy(dev_Y_lex, lr_guess)}")
dev accuracy = 0.895
Reminder: For log-linear models we need feature functions $f_i(\x)$ mapping input to a real value, e.g.
$$ f_{\text{Pulp}}(\x) = \counts{\x}{\text{Pulp}} $$i.e., the number of times Pulp appears in the input $\x$.
How to get a better feature function?
Non-content words
import string
import nltk
from nltk.corpus import stopwords
nltk.download('stopwords')
stop_words = set(stopwords.words('english')) | set(string.punctuation)
stop_words
[nltk_data] Downloading package stopwords to /home/daniel/nltk_data... [nltk_data] Package stopwords is already up-to-date!
{'!', '"', '#', '$', '%', '&', "'", '(', ')', '*', '+', ',', '-', '.', '/', ':', ';', '<', '=', '>', '?', '@', '[', '\\', ']', '^', '_', '`', 'a', 'about', 'above', 'after', 'again', 'against', 'ain', 'all', 'am', 'an', 'and', 'any', 'are', 'aren', "aren't", 'as', 'at', 'be', 'because', 'been', 'before', 'being', 'below', 'between', 'both', 'but', 'by', 'can', 'couldn', "couldn't", 'd', 'did', 'didn', "didn't", 'do', 'does', 'doesn', "doesn't", 'doing', 'don', "don't", 'down', 'during', 'each', 'few', 'for', 'from', 'further', 'had', 'hadn', "hadn't", 'has', 'hasn', "hasn't", 'have', 'haven', "haven't", 'having', 'he', 'her', 'here', 'hers', 'herself', 'him', 'himself', 'his', 'how', 'i', 'if', 'in', 'into', 'is', 'isn', "isn't", 'it', "it's", 'its', 'itself', 'just', 'll', 'm', 'ma', 'me', 'mightn', "mightn't", 'more', 'most', 'mustn', "mustn't", 'my', 'myself', 'needn', "needn't", 'no', 'nor', 'not', 'now', 'o', 'of', 'off', 'on', 'once', 'only', 'or', 'other', 'our', 'ours', 'ourselves', 'out', 'over', 'own', 're', 's', 'same', 'shan', "shan't", 'she', "she's", 'should', "should've", 'shouldn', "shouldn't", 'so', 'some', 'such', 't', 'than', 'that', "that'll", 'the', 'their', 'theirs', 'them', 'themselves', 'then', 'there', 'these', 'they', 'this', 'those', 'through', 'to', 'too', 'under', 'until', 'up', 've', 'very', 'was', 'wasn', "wasn't", 'we', 'were', 'weren', "weren't", 'what', 'when', 'where', 'which', 'while', 'who', 'whom', 'why', 'will', 'with', 'won', "won't", 'wouldn', "wouldn't", 'y', 'you', "you'd", "you'll", "you're", "you've", 'your', 'yours', 'yourself', 'yourselves', '{', '|', '}', '~'}
Shouldn't the model learn to ignored those since they are distributed similarly across classes?
Let's see what weights our model learned for non-content words
stopword_weights = [(w, weight) for w, weight in sorted_weights if w in stop_words]
# Highest negative stopword weights
util.plot_bar_graph([w for _,w in stopword_weights[:20]],
[f for f,_ in stopword_weights[:20]],rotation=45)
# Highest positive stopword weights
util.plot_bar_graph([w for _,w in stopword_weights[-20:]],
[f for f,_ in stopword_weights[-20:]],rotation=45)
Techniques](http://www.cs.cornell.edu/home/llee/papers/sentiment.pdf), Bo Pang, Lillian Lee and Shivakumar Vaithyanathan, EMNLP 2002