Classifying Duplicate Questions from Quora with Keras

Introduction

On this put up we are going to use Keras to categorise duplicated questions from Quora.
The dataset first appeared within the Kaggle competitors Quora Query Pairs and consists of roughly 400,000 pairs of questions together with a column indicating if the query pair is taken into account a replica.

Our implementation is impressed by the Siamese Recurrent Structure, with modifications to the similarity
measure and the embedding layers (the unique paper makes use of pre-trained phrase vectors). Utilizing this sort
of structure dates again to 2005 with Le Cun et al and is helpful for
verification duties. The thought is to be taught a operate that maps enter patterns right into a
goal area such {that a} similarity measure within the goal area approximates
the “semantic” distance within the enter area.

After the competitors, Quora additionally described their method to this drawback on this weblog put up.

Dowloading information

Knowledge will be downloaded from the Kaggle dataset webpage
or from Quora’s launch of the dataset:

library(keras)
quora_data <- get_file(
  "quora_duplicate_questions.tsv",
  "https://qim.ec.quoracdn.web/quora_duplicate_questions.tsv"
)

We’re utilizing the Keras get_file() operate in order that the file obtain is cached.

Studying and preprocessing

We’ll first load information into R and do some preprocessing to make it simpler to
embody within the mannequin. After downloading the info, you may learn it
utilizing the readr read_tsv() operate.

We’ll create a Keras tokenizer to rework every phrase into an integer
token. We may also specify a hyperparameter of our mannequin: the vocabulary dimension.
For now let’s use the 50,000 most typical phrases (we’ll tune this parameter later).
The tokenizer will probably be match utilizing all distinctive questions from the dataset.

tokenizer <- text_tokenizer(num_words = 50000)
tokenizer %>% fit_text_tokenizer(distinctive(c(df$question1, df$question2)))

Let’s save the tokenizer to disk with the intention to use it for inference later.

save_text_tokenizer(tokenizer, "tokenizer-question-pairs")

We’ll now use the textual content tokenizer to rework every query into an inventory
of integers.

question1 <- texts_to_sequences(tokenizer, df$question1)
question2 <- texts_to_sequences(tokenizer, df$question2)

Let’s check out the variety of phrases in every query. This can helps us to
resolve the padding size, one other hyperparameter of our mannequin. Padding the sequences normalizes them to the identical dimension in order that we are able to feed them to the Keras mannequin.

80% 90% 95% 99% 
 14  18  23  31 

We are able to see that 99% of questions have at most size 31 so we’ll select a padding
size between 15 and 30. Let’s begin with 20 (we’ll additionally tune this parameter later).
The default padding worth is 0, however we’re already utilizing this worth for phrases that
don’t seem throughout the 50,000 most frequent, so we’ll use 50,001 as a substitute.

question1_padded <- pad_sequences(question1, maxlen = 20, worth = 50000 + 1)
question2_padded <- pad_sequences(question2, maxlen = 20, worth = 50000 + 1)

We’ve now completed the preprocessing steps. We’ll now run a easy benchmark
mannequin earlier than shifting on to the Keras mannequin.

Easy benchmark

Earlier than creating an advanced mannequin let’s take a easy method.
Let’s create two predictors: proportion of phrases from question1 that
seem within the question2 and vice-versa. Then we are going to use a logistic
regression to foretell if the questions are duplicate.

perc_words_question1 <- map2_dbl(question1, question2, ~imply(.x %in% .y))
perc_words_question2 <- map2_dbl(question2, question1, ~imply(.x %in% .y))

df_model <- information.body(
  perc_words_question1 = perc_words_question1,
  perc_words_question2 = perc_words_question2,
  is_duplicate = df$is_duplicate
) %>%
  na.omit()

Now that we now have our predictors, let’s create the logistic mannequin.
We’ll take a small pattern for validation.

val_sample <- pattern.int(nrow(df_model), 0.1*nrow(df_model))
logistic_regression <- glm(
  is_duplicate ~ perc_words_question1 + perc_words_question2, 
  household = "binomial",
  information = df_model[-val_sample,]
)
abstract(logistic_regression)

Name:
glm(method = is_duplicate ~ perc_words_question1 + perc_words_question2, 
    household = "binomial", information = df_model[-val_sample, ])

Deviance Residuals: 
    Min       1Q   Median       3Q      Max  
-1.5938  -0.9097  -0.6106   1.1452   2.0292  

Coefficients:
                      Estimate Std. Error z worth Pr(>|z|)    
(Intercept)          -2.259007   0.009668 -233.66   <2e-16 ***
perc_words_question1  1.517990   0.023038   65.89   <2e-16 ***
perc_words_question2  1.681410   0.022795   73.76   <2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

(Dispersion parameter for binomial household taken to be 1)

    Null deviance: 479158  on 363843  levels of freedom
Residual deviance: 431627  on 363841  levels of freedom
  (17 observations deleted on account of missingness)
AIC: 431633

Variety of Fisher Scoring iterations: 3

Let’s calculate the accuracy on our validation set.

pred <- predict(logistic_regression, df_model[val_sample,], kind = "response")
pred <- pred > imply(df_model$is_duplicate[-val_sample])
accuracy <- desk(pred, df_model$is_duplicate[val_sample]) %>% 
  prop.desk() %>% 
  diag() %>% 
  sum()
accuracy

[1] 0.6573577

We bought an accuracy of 65.7%. Not all that significantly better than random guessing.
Now let’s create our mannequin in Keras.

Mannequin definition

We’ll use a Siamese community to foretell whether or not the pairs are duplicated or not.
The thought is to create a mannequin that may embed the questions (sequence of phrases)
right into a vector. Then we are able to evaluate the vectors for every query utilizing a similarity
measure and inform if the questions are duplicated or not.

First let’s outline the inputs for the mannequin.

input1 <- layer_input(form = c(20), identify = "input_question1")
input2 <- layer_input(form = c(20), identify = "input_question2")

Then let’s the outline the a part of the mannequin that may embed the questions in a
vector.

word_embedder <- layer_embedding( 
  input_dim = 50000 + 2, # vocab dimension + UNK token + padding worth
  output_dim = 128,      # hyperparameter - embedding dimension
  input_length = 20,     # padding dimension,
  embeddings_regularizer = regularizer_l2(0.0001) # hyperparameter - regularization 
)

seq_embedder <- layer_lstm(
  items = 128, # hyperparameter -- sequence embedding dimension
  kernel_regularizer = regularizer_l2(0.0001) # hyperparameter - regularization 
)

Now we are going to outline the connection between the enter vectors and the embeddings
layers. Observe that we use the identical layers and weights on each inputs. That’s why
that is known as a Siamese community. It is smart, as a result of we don’t wish to have completely different
outputs if question1 is switched with question2.

vector1 <- input1 %>% word_embedder() %>% seq_embedder()
vector2 <- input2 %>% word_embedder() %>% seq_embedder()

We then outline the similarity measure we wish to optimize. We would like duplicated questions
to have larger values of similarity. On this instance we’ll use the cosine similarity,
however any similarity measure may very well be used. Keep in mind that the cosine similarity is the
normalized dot product of the vectors, however for coaching it’s not essential to
normalize the outcomes.

cosine_similarity <- layer_dot(checklist(vector1, vector2), axes = 1)

Subsequent, we outline a last sigmoid layer to output the likelihood of each questions
being duplicated.

output <- cosine_similarity %>% 
  layer_dense(items = 1, activation = "sigmoid")

Now that allow’s outline the Keras mannequin by way of it’s inputs and outputs and
compile it. Within the compilation section we outline our loss operate and optimizer.
Like within the Kaggle problem, we are going to reduce the logloss (equal
to minimizing the binary crossentropy). We’ll use the Adam optimizer.

mannequin <- keras_model(checklist(input1, input2), output)
mannequin %>% compile(
  optimizer = "adam", 
  metrics = checklist(acc = metric_binary_accuracy), 
  loss = "binary_crossentropy"
)

We are able to then check out out mannequin with the abstract operate.

_______________________________________________________________________________________
Layer (kind)                Output Form       Param #    Related to                 
=======================================================================================
input_question1 (InputLayer (None, 20)         0                                       
_______________________________________________________________________________________
input_question2 (InputLayer (None, 20)         0                                       
_______________________________________________________________________________________
embedding_1 (Embedding)     (None, 20, 128)    6400256    input_question1[0][0]        
                                                          input_question2[0][0]        
_______________________________________________________________________________________
lstm_1 (LSTM)               (None, 128)        131584     embedding_1[0][0]            
                                                          embedding_1[1][0]            
_______________________________________________________________________________________
dot_1 (Dot)                 (None, 1)          0          lstm_1[0][0]                 
                                                          lstm_1[1][0]                 
_______________________________________________________________________________________
dense_1 (Dense)             (None, 1)          2          dot_1[0][0]                  
=======================================================================================
Whole params: 6,531,842
Trainable params: 6,531,842
Non-trainable params: 0
_______________________________________________________________________________________

Mannequin becoming

Now we are going to match and tune our mannequin. Nonetheless earlier than continuing let’s take a pattern for validation.

set.seed(1817328)
val_sample <- pattern.int(nrow(question1_padded), dimension = 0.1*nrow(question1_padded))

train_question1_padded <- question1_padded[-val_sample,]
train_question2_padded <- question2_padded[-val_sample,]
train_is_duplicate <- df$is_duplicate[-val_sample]

val_question1_padded <- question1_padded[val_sample,]
val_question2_padded <- question2_padded[val_sample,]
val_is_duplicate <- df$is_duplicate[val_sample]

Now we use the match() operate to coach the mannequin:

mannequin %>% match(
  checklist(train_question1_padded, train_question2_padded),
  train_is_duplicate, 
  batch_size = 64, 
  epochs = 10, 
  validation_data = checklist(
    checklist(val_question1_padded, val_question2_padded), 
    val_is_duplicate
  )
)

Prepare on 363861 samples, validate on 40429 samples
Epoch 1/10
363861/363861 [==============================] - 89s 245us/step - loss: 0.5860 - acc: 0.7248 - val_loss: 0.5590 - val_acc: 0.7449
Epoch 2/10
363861/363861 [==============================] - 88s 243us/step - loss: 0.5528 - acc: 0.7461 - val_loss: 0.5472 - val_acc: 0.7510
Epoch 3/10
363861/363861 [==============================] - 88s 242us/step - loss: 0.5428 - acc: 0.7536 - val_loss: 0.5439 - val_acc: 0.7515
Epoch 4/10
363861/363861 [==============================] - 88s 242us/step - loss: 0.5353 - acc: 0.7595 - val_loss: 0.5358 - val_acc: 0.7590
Epoch 5/10
363861/363861 [==============================] - 88s 242us/step - loss: 0.5299 - acc: 0.7633 - val_loss: 0.5358 - val_acc: 0.7592
Epoch 6/10
363861/363861 [==============================] - 88s 242us/step - loss: 0.5256 - acc: 0.7662 - val_loss: 0.5309 - val_acc: 0.7631
Epoch 7/10
363861/363861 [==============================] - 88s 242us/step - loss: 0.5211 - acc: 0.7701 - val_loss: 0.5349 - val_acc: 0.7586
Epoch 8/10
363861/363861 [==============================] - 88s 242us/step - loss: 0.5173 - acc: 0.7733 - val_loss: 0.5278 - val_acc: 0.7667
Epoch 9/10
363861/363861 [==============================] - 88s 242us/step - loss: 0.5138 - acc: 0.7762 - val_loss: 0.5292 - val_acc: 0.7667
Epoch 10/10
363861/363861 [==============================] - 88s 242us/step - loss: 0.5092 - acc: 0.7794 - val_loss: 0.5313 - val_acc: 0.7654

After coaching completes, we are able to save our mannequin for inference with the save_model_hdf5()
operate.

save_model_hdf5(mannequin, "model-question-pairs.hdf5")

Mannequin tuning

Now that we now have an affordable mannequin, let’s tune the hyperparameters utilizing the
tfruns bundle. We’ll start by including FLAGS declarations to our script for all hyperparameters we wish to tune (FLAGS permit us to range hyperparmaeters with out altering our supply code):

FLAGS <- flags(
  flag_integer("vocab_size", 50000),
  flag_integer("max_len_padding", 20),
  flag_integer("embedding_size", 256),
  flag_numeric("regularization", 0.0001),
  flag_integer("seq_embedding_size", 512)
)

With this FLAGS definition we are able to now write our code by way of the flags. For instance:

input1 <- layer_input(form = c(FLAGS$max_len_padding))
input2 <- layer_input(form = c(FLAGS$max_len_padding))

embedding <- layer_embedding(
  input_dim = FLAGS$vocab_size + 2, 
  output_dim = FLAGS$embedding_size, 
  input_length = FLAGS$max_len_padding, 
  embeddings_regularizer = regularizer_l2(l = FLAGS$regularization)
)

The complete supply code of the script with FLAGS will be discovered right here.

We moreover added an early stopping callback within the coaching step with the intention to cease coaching
if validation loss doesn’t lower for five epochs in a row. This can hopefully cut back coaching time for unhealthy fashions. We additionally added a studying charge reducer to cut back the educational charge by an element of 10 when the loss doesn’t lower for 3 epochs (this method sometimes will increase mannequin accuracy).

mannequin %>% match(
  ...,
  callbacks = checklist(
    callback_early_stopping(persistence = 5),
    callback_reduce_lr_on_plateau(persistence = 3)
  )
)

We are able to now execute a tuning run to probe for the optimum mixture of hyperparameters. We name the tuning_run() operate, passing an inventory with
the potential values for every flag. The tuning_run() operate will probably be answerable for executing the script for all combos of hyperparameters. We additionally specify
the pattern parameter to coach the mannequin for under a random pattern from all combos (decreasing coaching time considerably).

library(tfruns)

runs <- tuning_run(
  "question-pairs.R", 
  flags = checklist(
    vocab_size = c(30000, 40000, 50000, 60000),
    max_len_padding = c(15, 20, 25),
    embedding_size = c(64, 128, 256),
    regularization = c(0.00001, 0.0001, 0.001),
    seq_embedding_size = c(128, 256, 512)
  ), 
  runs_dir = "tuning", 
  pattern = 0.2
)

The tuning run will return a information.body with outcomes for all runs.
We discovered that one of the best run attained 84.9% accuracy utilizing the mix of hyperparameters proven under, so we modify our coaching script to make use of these values because the defaults:

FLAGS <- flags(
  flag_integer("vocab_size", 50000),
  flag_integer("max_len_padding", 20),
  flag_integer("embedding_size", 256),
  flag_numeric("regularization", 1e-4),
  flag_integer("seq_embedding_size", 512)
)

Making predictions

Now that we now have educated and tuned our mannequin we are able to begin making predictions.
At prediction time we are going to load each the textual content tokenizer and the mannequin we saved
to disk earlier.

library(keras)
mannequin <- load_model_hdf5("model-question-pairs.hdf5", compile = FALSE)
tokenizer <- load_text_tokenizer("tokenizer-question-pairs")

Since we received’t proceed coaching the mannequin, we specified the compile = FALSE argument.

Now let`s outline a operate to create predictions. On this operate we we preprocess the enter information in the identical manner we preprocessed the coaching information:

predict_question_pairs <- operate(mannequin, tokenizer, q1, q2) {
  q1 <- texts_to_sequences(tokenizer, checklist(q1))
  q2 <- texts_to_sequences(tokenizer, checklist(q2))
  
  q1 <- pad_sequences(q1, 20)
  q2 <- pad_sequences(q2, 20)
  
  as.numeric(predict(mannequin, checklist(q1, q2)))
}

We are able to now name it with new pairs of questions, for instance:

predict_question_pairs(
  mannequin,
  tokenizer,
  "What's R programming?",
  "What's R in programming?"
)

[1] 0.9784008

Prediction is sort of quick (~40 milliseconds).

Deploying the mannequin

To show deployment of the educated mannequin, we created a easy Shiny software, the place
you may paste 2 questions from Quora and discover the likelihood of them being duplicated. Strive altering the questions under or getting into two solely completely different questions.

The shiny software will be discovered at https://jjallaire.shinyapps.io/shiny-quora/ and it’s supply code at https://github.com/dfalbel/shiny-quora-question-pairs.

Observe that when deploying a Keras mannequin you solely have to load the beforehand saved mannequin file and tokenizer (no coaching information or mannequin coaching steps are required).

Wrapping up

• We educated a Siamese LSTM that offers us affordable accuracy (84%). Quora’s state-of-the-art is 87%.
• We are able to enhance our mannequin through the use of pre-trained phrase embeddings on bigger datasets. For instance, strive utilizing what’s described in this instance. Quora makes use of their very own full corpus to coach the phrase embeddings.
• After coaching we deployed our mannequin as a Shiny software which given two Quora questions calculates the likelihood of their being duplicates.