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Given the following text description, write Python code to implement the functionality described below step by step
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Description:
 version 1.0.2
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Introduction to Machine Learning with Apache Spark
Predicting Movie Ratings
One of the most common uses of big data is to predict what users want.  This allows Google to show you relevant ads, Amazon to recommend relevant products, and Netflix to recommend movies that you might like.  This lab will demonstrate how we can use Apache Spark to recommend movies to a user.  We will start with some basic techniques, and then use the Spark MLlib library's Alternating Least Squares method to make more sophisticated predictions.
For this lab, we will use a subset dataset of 500,000 ratings we have included for you into your VM (and on Databricks) from the movielens 10M stable benchmark rating dataset. However, the same code you write will work for the full dataset, or their latest dataset of 21 million ratings.
In this lab
Step3:  Part 0
Step4:  In this lab we will be examining subsets of the tuples we create (e.g., the top rated movies by users). Whenever we examine only a subset of a large dataset, there is the potential that the result will depend on the order we perform operations, such as joins, or how the data is partitioned across the workers. What we want to guarantee is that we always see the same results for a subset, independent of how we manipulate or store the data.
We can do that by sorting before we examine a subset. You might think that the most obvious choice when dealing with an RDD of tuples would be to use the sortByKey() method. However this choice is problematic, as we can still end up with different results if the key is not unique.
Note
Step6:  Even though the two lists contain identical tuples, the difference in ordering sometimes yields a different ordering for the sorted RDD (try running the cell repeatedly and see if the results change or the assertion fails). If we only examined the first two elements of the RDD (e.g., using take(2)), then we would observe different answers - that is a really bad outcome as we want identical input data to always yield identical output. A better technique is to sort the RDD by both the key and value, which we can do by combining the key and value into a single string and then sorting on that string. Since the key is an integer and the value is a unicode string, we can use a function to combine them into a single unicode string (e.g., unicode('%.3f' % key) + ' ' + value) before sorting the RDD using sortBy().
Step7:  If we just want to look at the first few elements of the RDD in sorted order, we can use the takeOrdered method with the sortFunction we defined.
Step9:  Part 1
Step10:  (1b) Movies with Highest Average Ratings
Now that we have a way to calculate the average ratings, we will use the getCountsAndAverages() helper function with Spark to determine movies with highest average ratings.
The steps you should perform are
Step11:  (1c) Movies with Highest Average Ratings and more than 500 reviews
Now that we have an RDD of the movies with highest averge ratings, we can use Spark to determine the 20 movies with highest average ratings and more than 500 reviews.
Apply a single RDD transformation to movieNameWithAvgRatingsRDD to limit the results to movies with ratings from more than 500 people. We then use the sortFunction() helper function to sort by the average rating to get the movies in order of their rating (highest rating first). You will end up with an RDD of the form
Step12:  Using a threshold on the number of reviews is one way to improve the recommendations, but there are many other good ways to improve quality. For example, you could weight ratings by the number of ratings.
Part 2
Step14:  After splitting the dataset, your training set has about 293,000 entries and the validation and test sets each have about 97,000 entries (the exact number of entries in each dataset varies slightly due to the random nature of the randomSplit() transformation.
(2b) Root Mean Square Error (RMSE)
In the next part, you will generate a few different models, and will need a way to decide which model is best. We will use the Root Mean Square Error (RMSE) or Root Mean Square Deviation (RMSD) to compute the error of each model.  RMSE is a frequently used measure of the differences between values (sample and population values) predicted by a model or an estimator and the values actually observed. The RMSD represents the sample standard deviation of the differences between predicted values and observed values. These individual differences are called residuals when the calculations are performed over the data sample that was used for estimation, and are called prediction errors when computed out-of-sample. The RMSE serves to aggregate the magnitudes of the errors in predictions for various times into a single measure of predictive power. RMSE is a good measure of accuracy, but only to compare forecasting errors of different models for a particular variable and not between variables, as it is scale-dependent.
The RMSE is the square root of the average value of the square of (actual rating - predicted rating) for all users and movies for which we have the actual rating. Versions of Spark MLlib beginning with Spark 1.4 include a RegressionMetrics modiule that can be used to compute the RMSE. However, since we are using Spark 1.3.1, we will write our own function.
Write a function to compute the sum of squared error given predictedRDD and actualRDD RDDs. Both RDDs consist of tuples of the form (UserID, MovieID, Rating)
Given two ratings RDDs, x and y of size n, we define RSME as follows
Step15:  (2c) Using ALS.train()
In this part, we will use the MLlib implementation of Alternating Least Squares, ALS.train(). ALS takes a training dataset (RDD) and several parameters that control the model creation process. To determine the best values for the parameters, we will use ALS to train several models, and then we will select the best model and use the parameters from that model in the rest of this lab exercise.
The process we will use for determining the best model is as follows
Step16:  (2d) Testing Your Model
So far, we used the trainingRDD and validationRDD datasets to select the best model.  Since we used these two datasets to determine what model is best, we cannot use them to test how good the model is - otherwise we would be very vulnerable to overfitting.  To decide how good our model is, we need to use the testRDD dataset.  We will use the bestRank you determined in part (2c) to create a model for predicting the ratings for the test dataset and then we will compute the RMSE.
The steps you should perform are
Step17:  (2e) Comparing Your Model
Looking at the RMSE for the results predicted by the model versus the values in the test set is one way to evalute the quality of our model. Another way to evaluate the model is to evaluate the error from a test set where every rating is the average rating for the training set.
The steps you should perform are
Step18:  You now have code to predict how users will rate movies!
Part 3
Step19:  The user ID 0 is unassigned, so we will use it for your ratings. We set the variable myUserID to 0 for you. Next, create a new RDD myRatingsRDD with your ratings for at least 10 movie ratings. Each entry should be formatted as (myUserID, movieID, rating) (i.e., each entry should be formatted in the same way as trainingRDD).  As in the original dataset, ratings should be between 1 and 5 (inclusive). If you have not seen at least 10 of these movies, you can increase the parameter passed to take() in the above cell until there are 10 movies that you have seen (or you can also guess what your rating would be for movies you have not seen).
Step20:  (3b) Add Your Movies to Training Dataset
Now that you have ratings for yourself, you need to add your ratings to the training dataset so that the model you train will incorporate your preferences.  Spark's union() transformation combines two RDDs; use union() to create a new training dataset that includes your ratings and the data in the original training dataset.
Step21:  (3c) Train a Model with Your Ratings
Now, train a model with your ratings added and the parameters you used in in part (2c)
Step22:  (3d) Check RMSE for the New Model with Your Ratings
Compute the RMSE for this new model on the test set.
For the prediction step, we reuse testForPredictingRDD, consisting of (UserID, MovieID) pairs that you extracted from testRDD. The RDD has the form
Step23:  (3e) Predict Your Ratings
So far, we have only used the predictAll method to compute the error of the model.  Here, use the predictAll to predict what ratings you would give to the movies that you did not already provide ratings for.
The steps you should perform are
Step24:  (3f) Predict Your Ratings
We have our predicted ratings. Now we can print out the 25 movies with the highest predicted ratings.
The steps you should perform are
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Python Code:
import sys
import os
from test_helper import Test
baseDir = os.path.join('data')
inputPath = os.path.join('cs100', 'lab4', 'small')
ratingsFilename = os.path.join(baseDir, inputPath, 'ratings.dat.gz')
moviesFilename = os.path.join(baseDir, inputPath, 'movies.dat')
Explanation: version 1.0.2
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Introduction to Machine Learning with Apache Spark
Predicting Movie Ratings
One of the most common uses of big data is to predict what users want.  This allows Google to show you relevant ads, Amazon to recommend relevant products, and Netflix to recommend movies that you might like.  This lab will demonstrate how we can use Apache Spark to recommend movies to a user.  We will start with some basic techniques, and then use the Spark MLlib library's Alternating Least Squares method to make more sophisticated predictions.
For this lab, we will use a subset dataset of 500,000 ratings we have included for you into your VM (and on Databricks) from the movielens 10M stable benchmark rating dataset. However, the same code you write will work for the full dataset, or their latest dataset of 21 million ratings.
In this lab:
Part 0: Preliminaries
Part 1: Basic Recommendations
Part 2: Collaborative Filtering
Part 3: Predictions for Yourself
As mentioned during the first Learning Spark lab, think carefully before calling collect() on any datasets.  When you are using a small dataset, calling collect() and then using Python to get a sense for the data locally (in the driver program) will work fine, but this will not work when you are using a large dataset that doesn't fit in memory on one machine.  Solutions that call collect() and do local analysis that could have been done with Spark will likely fail in the autograder and not receive full credit.
Code
This assignment can be completed using basic Python and pySpark Transformations and Actions.  Libraries other than math are not necessary. With the exception of the ML functions that we introduce in this assignment, you should be able to complete all parts of this homework using only the Spark functions you have used in prior lab exercises (although you are welcome to use more features of Spark if you like!).
End of explanation
numPartitions = 2
rawRatings = sc.textFile(ratingsFilename).repartition(numPartitions)
rawMovies = sc.textFile(moviesFilename)
def get_ratings_tuple(entry):
     Parse a line in the ratings dataset
    Args:
        entry (str): a line in the ratings dataset in the form of UserID::MovieID::Rating::Timestamp
    Returns:
        tuple: (UserID, MovieID, Rating)
    
    items = entry.split('::')
    return int(items[0]), int(items[1]), float(items[2])
def get_movie_tuple(entry):
     Parse a line in the movies dataset
    Args:
        entry (str): a line in the movies dataset in the form of MovieID::Title::Genres
    Returns:
        tuple: (MovieID, Title)
    
    items = entry.split('::')
    return int(items[0]), items[1]
ratingsRDD = rawRatings.map(get_ratings_tuple).cache()
moviesRDD = rawMovies.map(get_movie_tuple).cache()
ratingsCount = ratingsRDD.count()
moviesCount = moviesRDD.count()
print 'There are %s ratings and %s movies in the datasets' % (ratingsCount, moviesCount)
print 'Ratings: %s' % ratingsRDD.take(3)
print 'Movies: %s' % moviesRDD.take(3)
assert ratingsCount == 487650
assert moviesCount == 3883
assert moviesRDD.filter(lambda (id, title): title == 'Toy Story (1995)').count() == 1
assert (ratingsRDD.takeOrdered(1, key=lambda (user, movie, rating): movie)
        == [(1, 1, 5.0)])
Explanation: Part 0: Preliminaries
We read in each of the files and create an RDD consisting of parsed lines.
Each line in the ratings dataset (ratings.dat.gz) is formatted as:
UserID::MovieID::Rating::Timestamp
Each line in the movies (movies.dat) dataset is formatted as:
MovieID::Title::Genres
The Genres field has the format
Genres1|Genres2|Genres3|...
The format of these files is uniform and simple, so we can use Python split() to parse their lines.
Parsing the two files yields two RDDS
For each line in the ratings dataset, we create a tuple of (UserID, MovieID, Rating). We drop the timestamp because we do not need it for this exercise.
For each line in the movies dataset, we create a tuple of (MovieID, Title). We drop the Genres because we do not need them for this exercise.
End of explanation
tmp1 = [(1, u'alpha'), (2, u'alpha'), (2, u'beta'), (3, u'alpha'), (1, u'epsilon'), (1, u'delta')]
tmp2 = [(1, u'delta'), (2, u'alpha'), (2, u'beta'), (3, u'alpha'), (1, u'epsilon'), (1, u'alpha')]
oneRDD = sc.parallelize(tmp1)
twoRDD = sc.parallelize(tmp2)
oneSorted = oneRDD.sortByKey(True).collect()
twoSorted = twoRDD.sortByKey(True).collect()
print oneSorted
print twoSorted
assert set(oneSorted) == set(twoSorted)     # Note that both lists have the same elements
assert twoSorted[0][0] < twoSorted.pop()[0] # Check that it is sorted by the keys
assert oneSorted[0:2] != twoSorted[0:2]     # Note that the subset consisting of the first two elements does not match
Explanation: In this lab we will be examining subsets of the tuples we create (e.g., the top rated movies by users). Whenever we examine only a subset of a large dataset, there is the potential that the result will depend on the order we perform operations, such as joins, or how the data is partitioned across the workers. What we want to guarantee is that we always see the same results for a subset, independent of how we manipulate or store the data.
We can do that by sorting before we examine a subset. You might think that the most obvious choice when dealing with an RDD of tuples would be to use the sortByKey() method. However this choice is problematic, as we can still end up with different results if the key is not unique.
Note: It is important to use the unicode type instead of the string type as the titles are in unicode characters.
Consider the following example, and note that while the sets are equal, the printed lists are usually in different order by value, although they may randomly match up from time to time.
You can try running this multiple times.  If the last assertion fails, don't worry about it: that was just the luck of the draw.  And note that in some environments the results may be more deterministic.
End of explanation
def sortFunction(tuple):
     Construct the sort string (does not perform actual sorting)
    Args:
        tuple: (rating, MovieName)
    Returns:
        sortString: the value to sort with, 'rating MovieName'
    
    key = unicode('%.3f' % tuple[0])
    value = tuple[1]
    return (key + ' ' + value)
print oneRDD.sortBy(sortFunction, True).collect()
print twoRDD.sortBy(sortFunction, True).collect()
Explanation: Even though the two lists contain identical tuples, the difference in ordering sometimes yields a different ordering for the sorted RDD (try running the cell repeatedly and see if the results change or the assertion fails). If we only examined the first two elements of the RDD (e.g., using take(2)), then we would observe different answers - that is a really bad outcome as we want identical input data to always yield identical output. A better technique is to sort the RDD by both the key and value, which we can do by combining the key and value into a single string and then sorting on that string. Since the key is an integer and the value is a unicode string, we can use a function to combine them into a single unicode string (e.g., unicode('%.3f' % key) + ' ' + value) before sorting the RDD using sortBy().
End of explanation
oneSorted1 = oneRDD.takeOrdered(oneRDD.count(),key=sortFunction)
twoSorted1 = twoRDD.takeOrdered(twoRDD.count(),key=sortFunction)
print 'one is %s' % oneSorted1
print 'two is %s' % twoSorted1
assert oneSorted1 == twoSorted1
Explanation: If we just want to look at the first few elements of the RDD in sorted order, we can use the takeOrdered method with the sortFunction we defined.
End of explanation
# TODO: Replace <FILL IN> with appropriate code
# First, implement a helper function `getCountsAndAverages` using only Python
def getCountsAndAverages(IDandRatingsTuple):
     Calculate average rating
    Args:
        IDandRatingsTuple: a single tuple of (MovieID, (Rating1, Rating2, Rating3, ...))
    Returns:
        tuple: a tuple of (MovieID, (number of ratings, averageRating))
    
    pid = IDandRatingsTuple[0]
    cnt = len(IDandRatingsTuple[1])
    avg = float(sum(IDandRatingsTuple[1]))/cnt
    return (pid, (cnt, avg))
# TEST Number of Ratings and Average Ratings for a Movie (1a)
Test.assertEquals(getCountsAndAverages((1, (1, 2, 3, 4))), (1, (4, 2.5)),
                            'incorrect getCountsAndAverages() with integer list')
Test.assertEquals(getCountsAndAverages((100, (10.0, 20.0, 30.0))), (100, (3, 20.0)),
                            'incorrect getCountsAndAverages() with float list')
Test.assertEquals(getCountsAndAverages((110, xrange(20))), (110, (20, 9.5)),
                            'incorrect getCountsAndAverages() with xrange')
Explanation: Part 1: Basic Recommendations
One way to recommend movies is to always recommend the movies with the highest average rating. In this part, we will use Spark to find the name, number of ratings, and the average rating of the 20 movies with the highest average rating and more than 500 reviews. We want to filter our movies with high ratings but fewer than or equal to 500 reviews because movies with few reviews may not have broad appeal to everyone.
(1a) Number of Ratings and Average Ratings for a Movie
Using only Python, implement a helper function getCountsAndAverages() that takes a single tuple of (MovieID, (Rating1, Rating2, Rating3, ...)) and returns a tuple of (MovieID, (number of ratings, averageRating)). For example, given the tuple (100, (10.0, 20.0, 30.0)), your function should return (100, (3, 20.0))
End of explanation
# TODO: Replace <FILL IN> with appropriate code
# From ratingsRDD with tuples of (UserID, MovieID, Rating) create an RDD with tuples of
# the (MovieID, iterable of Ratings for that MovieID)
movieIDsWithRatingsRDD = (ratingsRDD
                          .map(lambda (u_id,m_id,rating) : (m_id,rating))
                          .groupByKey())
print 'movieIDsWithRatingsRDD: %s\n' % movieIDsWithRatingsRDD.take(3)
# Using `movieIDsWithRatingsRDD`, compute the number of ratings and average rating for each movie to
# yield tuples of the form (MovieID, (number of ratings, average rating))
movieIDsWithAvgRatingsRDD = movieIDsWithRatingsRDD.map(getCountsAndAverages)
print 'movieIDsWithAvgRatingsRDD: %s\n' % movieIDsWithAvgRatingsRDD.take(3)
# To `movieIDsWithAvgRatingsRDD`, apply RDD transformations that use `moviesRDD` to get the movie
# names for `movieIDsWithAvgRatingsRDD`, yielding tuples of the form
# (average rating, movie name, number of ratings)
movieNameWithAvgRatingsRDD = (moviesRDD
                              .join(movieIDsWithAvgRatingsRDD)
                              .map(lambda (id, (name, (num, avg))): (avg, name, num)))
print 'movieNameWithAvgRatingsRDD: %s\n' % movieNameWithAvgRatingsRDD.take(3)
# TEST Movies with Highest Average Ratings (1b)
Test.assertEquals(movieIDsWithRatingsRDD.count(), 3615,
                'incorrect movieIDsWithRatingsRDD.count() (expected 3615)')
movieIDsWithRatingsTakeOrdered = movieIDsWithRatingsRDD.takeOrdered(3)
Test.assertTrue(movieIDsWithRatingsTakeOrdered[0][0] == 1 and
                len(list(movieIDsWithRatingsTakeOrdered[0][1])) == 993,
                'incorrect count of ratings for movieIDsWithRatingsTakeOrdered[0] (expected 993)')
Test.assertTrue(movieIDsWithRatingsTakeOrdered[1][0] == 2 and
                len(list(movieIDsWithRatingsTakeOrdered[1][1])) == 332,
                'incorrect count of ratings for movieIDsWithRatingsTakeOrdered[1] (expected 332)')
Test.assertTrue(movieIDsWithRatingsTakeOrdered[2][0] == 3 and
                len(list(movieIDsWithRatingsTakeOrdered[2][1])) == 299,
                'incorrect count of ratings for movieIDsWithRatingsTakeOrdered[2] (expected 299)')
Test.assertEquals(movieIDsWithAvgRatingsRDD.count(), 3615,
                'incorrect movieIDsWithAvgRatingsRDD.count() (expected 3615)')
Test.assertEquals(movieIDsWithAvgRatingsRDD.takeOrdered(3),
                [(1, (993, 4.145015105740181)), (2, (332, 3.174698795180723)),
                 (3, (299, 3.0468227424749164))],
                'incorrect movieIDsWithAvgRatingsRDD.takeOrdered(3)')
Test.assertEquals(movieNameWithAvgRatingsRDD.count(), 3615,
                'incorrect movieNameWithAvgRatingsRDD.count() (expected 3615)')
Test.assertEquals(movieNameWithAvgRatingsRDD.takeOrdered(3),
                [(1.0, u'Autopsy (Macchie Solari) (1975)', 1), (1.0, u'Better Living (1998)', 1),
                 (1.0, u'Big Squeeze, The (1996)', 3)],
                 'incorrect movieNameWithAvgRatingsRDD.takeOrdered(3)')
Explanation: (1b) Movies with Highest Average Ratings
Now that we have a way to calculate the average ratings, we will use the getCountsAndAverages() helper function with Spark to determine movies with highest average ratings.
The steps you should perform are:
Recall that the ratingsRDD contains tuples of the form (UserID, MovieID, Rating). From ratingsRDD create an RDD with tuples of the form (MovieID, Python iterable of Ratings for that MovieID). This transformation will yield an RDD of the form: [(1, &lt;pyspark.resultiterable.ResultIterable object at 0x7f16d50e7c90&gt;), (2, &lt;pyspark.resultiterable.ResultIterable object at 0x7f16d50e79d0&gt;), (3, &lt;pyspark.resultiterable.ResultIterable object at 0x7f16d50e7610&gt;)]. Note that you will only need to perform two Spark transformations to do this step.
Using movieIDsWithRatingsRDD and your getCountsAndAverages() helper function, compute the number of ratings and average rating for each movie to yield tuples of the form (MovieID, (number of ratings, average rating)). This transformation will yield an RDD of the form: [(1, (993, 4.145015105740181)), (2, (332, 3.174698795180723)), (3, (299, 3.0468227424749164))]. You can do this step with one Spark transformation
We want to see movie names, instead of movie IDs. To moviesRDD, apply RDD transformations that use movieIDsWithAvgRatingsRDD to get the movie names for movieIDsWithAvgRatingsRDD, yielding tuples of the form (average rating, movie name, number of ratings). This set of transformations will yield an RDD of the form: [(1.0, u'Autopsy (Macchie Solari) (1975)', 1), (1.0, u'Better Living (1998)', 1), (1.0, u'Big Squeeze, The (1996)', 3)]. You will need to do two Spark transformations to complete this step: first use the moviesRDD with movieIDsWithAvgRatingsRDD to create a new RDD with Movie names matched to Movie IDs, then convert that RDD into the form of (average rating, movie name, number of ratings). These transformations will yield an RDD that looks like: [(3.6818181818181817, u'Happiest Millionaire, The (1967)', 22), (3.0468227424749164, u'Grumpier Old Men (1995)', 299), (2.882978723404255, u'Hocus Pocus (1993)', 94)]
End of explanation
# TODO: Replace <FILL IN> with appropriate code
# Apply an RDD transformation to `movieNameWithAvgRatingsRDD` to limit the results to movies with
# ratings from more than 500 people. We then use the `sortFunction()` helper function to sort by the
# average rating to get the movies in order of their rating (highest rating first)
movieLimitedAndSortedByRatingRDD = (movieNameWithAvgRatingsRDD
                                    .filter(lambda (avg, name, num) : num > 500)
                                    .sortBy(sortFunction, False))
print 'Movies with highest ratings: %s' % movieLimitedAndSortedByRatingRDD.take(20)
# TEST Movies with Highest Average Ratings and more than 500 Reviews (1c)
Test.assertEquals(movieLimitedAndSortedByRatingRDD.count(), 194,
                'incorrect movieLimitedAndSortedByRatingRDD.count()')
Test.assertEquals(movieLimitedAndSortedByRatingRDD.take(20),
              [(4.5349264705882355, u'Shawshank Redemption, The (1994)', 1088),
               (4.515798462852263, u"Schindler's List (1993)", 1171),
               (4.512893982808023, u'Godfather, The (1972)', 1047),
               (4.510460251046025, u'Raiders of the Lost Ark (1981)', 1195),
               (4.505415162454874, u'Usual Suspects, The (1995)', 831),
               (4.457256461232604, u'Rear Window (1954)', 503),
               (4.45468509984639, u'Dr. Strangelove or: How I Learned to Stop Worrying and Love the Bomb (1963)', 651),
               (4.43953006219765, u'Star Wars: Episode IV - A New Hope (1977)', 1447),
               (4.4, u'Sixth Sense, The (1999)', 1110), (4.394285714285714, u'North by Northwest (1959)', 700),
               (4.379506641366224, u'Citizen Kane (1941)', 527), (4.375, u'Casablanca (1942)', 776),
               (4.363975155279503, u'Godfather: Part II, The (1974)', 805),
               (4.358816276202219, u"One Flew Over the Cuckoo's Nest (1975)", 811),
               (4.358173076923077, u'Silence of the Lambs, The (1991)', 1248),
               (4.335826477187734, u'Saving Private Ryan (1998)', 1337),
               (4.326241134751773, u'Chinatown (1974)', 564),
               (4.325383304940375, u'Life Is Beautiful (La Vita \ufffd bella) (1997)', 587),
               (4.324110671936759, u'Monty Python and the Holy Grail (1974)', 759),
               (4.3096, u'Matrix, The (1999)', 1250)], 'incorrect sortedByRatingRDD.take(20)')
Explanation: (1c) Movies with Highest Average Ratings and more than 500 reviews
Now that we have an RDD of the movies with highest averge ratings, we can use Spark to determine the 20 movies with highest average ratings and more than 500 reviews.
Apply a single RDD transformation to movieNameWithAvgRatingsRDD to limit the results to movies with ratings from more than 500 people. We then use the sortFunction() helper function to sort by the average rating to get the movies in order of their rating (highest rating first). You will end up with an RDD of the form: [(4.5349264705882355, u'Shawshank Redemption, The (1994)', 1088), (4.515798462852263, u"Schindler's List (1993)", 1171), (4.512893982808023, u'Godfather, The (1972)', 1047)]
End of explanation
trainingRDD, validationRDD, testRDD = ratingsRDD.randomSplit([6, 2, 2], seed=0L)
print 'Training: %s, validation: %s, test: %s\n' % (trainingRDD.count(),
                                                    validationRDD.count(),
                                                    testRDD.count())
print trainingRDD.take(3)
print validationRDD.take(3)
print testRDD.take(3)
assert trainingRDD.count() == 292716
assert validationRDD.count() == 96902
assert testRDD.count() == 98032
assert trainingRDD.filter(lambda t: t == (1, 914, 3.0)).count() == 1
assert trainingRDD.filter(lambda t: t == (1, 2355, 5.0)).count() == 1
assert trainingRDD.filter(lambda t: t == (1, 595, 5.0)).count() == 1
assert validationRDD.filter(lambda t: t == (1, 1287, 5.0)).count() == 1
assert validationRDD.filter(lambda t: t == (1, 594, 4.0)).count() == 1
assert validationRDD.filter(lambda t: t == (1, 1270, 5.0)).count() == 1
assert testRDD.filter(lambda t: t == (1, 1193, 5.0)).count() == 1
assert testRDD.filter(lambda t: t == (1, 2398, 4.0)).count() == 1
assert testRDD.filter(lambda t: t == (1, 1035, 5.0)).count() == 1
Explanation: Using a threshold on the number of reviews is one way to improve the recommendations, but there are many other good ways to improve quality. For example, you could weight ratings by the number of ratings.
Part 2: Collaborative Filtering
In this course, you have learned about many of the basic transformations and actions that Spark allows us to apply to distributed datasets.  Spark also exposes some higher level functionality; in particular, Machine Learning using a component of Spark called MLlib.  In this part, you will learn how to use MLlib to make personalized movie recommendations using the movie data we have been analyzing.
We are going to use a technique called collaborative filtering. Collaborative filtering is a method of making automatic predictions (filtering) about the interests of a user by collecting preferences or taste information from many users (collaborating). The underlying assumption of the collaborative filtering approach is that if a person A has the same opinion as a person B on an issue, A is more likely to have B's opinion on a different issue x than to have the opinion on x of a person chosen randomly. You can read more about collaborative filtering here.
The image below (from Wikipedia) shows an example of predicting of the user's rating using collaborative filtering. At first, people rate different items (like videos, images, games). After that, the system is making predictions about a user's rating for an item, which the user has not rated yet. These predictions are built upon the existing ratings of other users, who have similar ratings with the active user. For instance, in the image below the system has made a prediction, that the active user will not like the video.
For movie recommendations, we start with a matrix whose entries are movie ratings by users (shown in red in the diagram below).  Each column represents a user (shown in green) and each row represents a particular movie (shown in blue).
Since not all users have rated all movies, we do not know all of the entries in this matrix, which is precisely why we need collaborative filtering.  For each user, we have ratings for only a subset of the movies.  With collaborative filtering, the idea is to approximate the ratings matrix by factorizing it as the product of two matrices: one that describes properties of each user (shown in green), and one that describes properties of each movie (shown in blue).
We want to select these two matrices such that the error for the users/movie pairs where we know the correct ratings is minimized.  The Alternating Least Squares algorithm does this by first randomly filling the users matrix with values and then optimizing the value of the movies such that the error is minimized.  Then, it holds the movies matrix constrant and optimizes the value of the user's matrix.  This alternation between which matrix to optimize is the reason for the "alternating" in the name.
This optimization is what's being shown on the right in the image above.  Given a fixed set of user factors (i.e., values in the users matrix), we use the known ratings to find the best values for the movie factors using the optimization written at the bottom of the figure.  Then we "alternate" and pick the best user factors given fixed movie factors.
For a simple example of what the users and movies matrices might look like, check out the videos from Lecture 8 or the slides from Lecture 8
(2a) Creating a Training Set
Before we jump into using machine learning, we need to break up the ratingsRDD dataset into three pieces:
A training set (RDD), which we will use to train models
A validation set (RDD), which we will use to choose the best model
A test set (RDD), which we will use for our experiments
To randomly split the dataset into the multiple groups, we can use the pySpark randomSplit() transformation. randomSplit() takes a set of splits and and seed and returns multiple RDDs.
End of explanation
# TODO: Replace <FILL IN> with appropriate code
import math
def computeError(predictedRDD, actualRDD):
     Compute the root mean squared error between predicted and actual
    Args:
        predictedRDD: predicted ratings for each movie and each user where each entry is in the form
                      (UserID, MovieID, Rating)
        actualRDD: actual ratings where each entry is in the form (UserID, MovieID, Rating)
    Returns:
        RSME (float): computed RSME value
    
    # Transform predictedRDD into the tuples of the form ((UserID, MovieID), Rating)
    predictedReformattedRDD = predictedRDD.map(lambda (u_Id, m_Id, rating): ((u_Id, m_Id), rating))
    # Transform actualRDD into the tuples of the form ((UserID, MovieID), Rating)
    actualReformattedRDD = actualRDD.map(lambda (u_Id, m_Id, rating): ((u_Id, m_Id), rating))
    # Compute the squared error for each matching entry (i.e., the same (User ID, Movie ID) in each
    # RDD) in the reformatted RDDs using RDD transformtions - do not use collect()
    squaredErrorsRDD = (predictedReformattedRDD
                        .join(actualReformattedRDD)
                        .map(lambda (k, (v1,v2)): (k, (v1-v2)**2)))
    # Compute the total squared error - do not use collect()
    totalError = squaredErrorsRDD.reduce(lambda (k1,v1), (k2,v2): (k1,v1+v2))
    # Count the number of entries for which you computed the total squared error
    numRatings = squaredErrorsRDD.count()
    # Using the total squared error and the number of entries, compute the RSME
    return math.sqrt(float(totalError[1])/numRatings)
# sc.parallelize turns a Python list into a Spark RDD.
testPredicted = sc.parallelize([
    (1, 1, 5),
    (1, 2, 3),
    (1, 3, 4),
    (2, 1, 3),
    (2, 2, 2),
    (2, 3, 4)])
testActual = sc.parallelize([
     (1, 2, 3),
     (1, 3, 5),
     (2, 1, 5),
     (2, 2, 1)])
testPredicted2 = sc.parallelize([
     (2, 2, 5),
     (1, 2, 5)])
testError = computeError(testPredicted, testActual)
print 'Error for test dataset (should be 1.22474487139): %s' % testError
testError2 = computeError(testPredicted2, testActual)
print 'Error for test dataset2 (should be 3.16227766017): %s' % testError2
testError3 = computeError(testActual, testActual)
print 'Error for testActual dataset (should be 0.0): %s' % testError3
# TEST Root Mean Square Error (2b)
Test.assertTrue(abs(testError - 1.22474487139) < 0.00000001,
                'incorrect testError (expected 1.22474487139)')
Test.assertTrue(abs(testError2 - 3.16227766017) < 0.00000001,
                'incorrect testError2 result (expected 3.16227766017)')
Test.assertTrue(abs(testError3 - 0.0) < 0.00000001,
                'incorrect testActual result (expected 0.0)')
Explanation: After splitting the dataset, your training set has about 293,000 entries and the validation and test sets each have about 97,000 entries (the exact number of entries in each dataset varies slightly due to the random nature of the randomSplit() transformation.
(2b) Root Mean Square Error (RMSE)
In the next part, you will generate a few different models, and will need a way to decide which model is best. We will use the Root Mean Square Error (RMSE) or Root Mean Square Deviation (RMSD) to compute the error of each model.  RMSE is a frequently used measure of the differences between values (sample and population values) predicted by a model or an estimator and the values actually observed. The RMSD represents the sample standard deviation of the differences between predicted values and observed values. These individual differences are called residuals when the calculations are performed over the data sample that was used for estimation, and are called prediction errors when computed out-of-sample. The RMSE serves to aggregate the magnitudes of the errors in predictions for various times into a single measure of predictive power. RMSE is a good measure of accuracy, but only to compare forecasting errors of different models for a particular variable and not between variables, as it is scale-dependent.
The RMSE is the square root of the average value of the square of (actual rating - predicted rating) for all users and movies for which we have the actual rating. Versions of Spark MLlib beginning with Spark 1.4 include a RegressionMetrics modiule that can be used to compute the RMSE. However, since we are using Spark 1.3.1, we will write our own function.
Write a function to compute the sum of squared error given predictedRDD and actualRDD RDDs. Both RDDs consist of tuples of the form (UserID, MovieID, Rating)
Given two ratings RDDs, x and y of size n, we define RSME as follows: $ RMSE = \sqrt{\frac{\sum_{i = 1}^{n} (x_i - y_i)^2}{n}}$
To calculate RSME, the steps you should perform are:
Transform predictedRDD into the tuples of the form ((UserID, MovieID), Rating). For example, tuples like [((1, 1), 5), ((1, 2), 3), ((1, 3), 4), ((2, 1), 3), ((2, 2), 2), ((2, 3), 4)]. You can perform this step with a single Spark transformation.
Transform actualRDD into the tuples of the form ((UserID, MovieID), Rating). For example, tuples like [((1, 2), 3), ((1, 3), 5), ((2, 1), 5), ((2, 2), 1)]. You can perform this step with a single Spark transformation.
Using only RDD transformations (you only need to perform two transformations), compute the squared error for each matching entry (i.e., the same (UserID, MovieID) in each RDD) in the reformatted RDDs - do not use collect() to perform this step. Note that not every (UserID, MovieID) pair will appear in both RDDs - if a pair does not appear in both RDDs, then it does not contribute to the RMSE. You will end up with an RDD with entries of the form $ (x_i - y_i)^2$ You might want to check out Python's math module to see how to compute these values
Using an RDD action (but not collect()), compute the total squared error: $ SE = \sum_{i = 1}^{n} (x_i - y_i)^2 $
Compute n by using an RDD action (but not collect()), to count the number of pairs for which you computed the total squared error
Using the total squared error and the number of pairs, compute the RSME. Make sure you compute this value as a float.
Note: Your solution must only use transformations and actions on RDDs. Do not call collect() on either RDD.
End of explanation
# TODO: Replace <FILL IN> with appropriate code
from pyspark.mllib.recommendation import ALS
validationForPredictRDD = validationRDD.map(lambda (userID, movieID, rating) : (userID, movieID))
seed = 5L
iterations = 5
regularizationParameter = 0.1
ranks = [4, 8, 12]
errors = [0, 0, 0]
err = 0
tolerance = 0.03
minError = float('inf')
bestRank = -1
bestIteration = -1
for rank in ranks:
    model = ALS.train(trainingRDD, rank, seed=seed, iterations=iterations,
                      lambda_=regularizationParameter)
    predictedRatingsRDD = model.predictAll(validationForPredictRDD)
    error = computeError(predictedRatingsRDD, validationRDD)
    errors[err] = error
    err += 1
    print 'For rank %s the RMSE is %s' % (rank, error)
    if error < minError:
        minError = error
        bestRank = rank
print 'The best model was trained with rank %s' % bestRank
# TEST Using ALS.train (2c)
Test.assertEquals(trainingRDD.getNumPartitions(), 2,
                  'incorrect number of partitions for trainingRDD (expected 2)')
Test.assertEquals(validationForPredictRDD.count(), 96902,
                  'incorrect size for validationForPredictRDD (expected 96902)')
Test.assertEquals(validationForPredictRDD.filter(lambda t: t == (1, 1907)).count(), 1,
                  'incorrect content for validationForPredictRDD')
Test.assertTrue(abs(errors[0] - 0.883710109497) < tolerance, 'incorrect errors[0]')
Test.assertTrue(abs(errors[1] - 0.878486305621) < tolerance, 'incorrect errors[1]')
Test.assertTrue(abs(errors[2] - 0.876832795659) < tolerance, 'incorrect errors[2]')
Explanation: (2c) Using ALS.train()
In this part, we will use the MLlib implementation of Alternating Least Squares, ALS.train(). ALS takes a training dataset (RDD) and several parameters that control the model creation process. To determine the best values for the parameters, we will use ALS to train several models, and then we will select the best model and use the parameters from that model in the rest of this lab exercise.
The process we will use for determining the best model is as follows:
Pick a set of model parameters. The most important parameter to ALS.train() is the rank, which is the number of rows in the Users matrix (green in the diagram above) or the number of columns in the Movies matrix (blue in the diagram above). (In general, a lower rank will mean higher error on the training dataset, but a high rank may lead to overfitting.)  We will train models with ranks of 4, 8, and 12 using the trainingRDD dataset.
Create a model using ALS.train(trainingRDD, rank, seed=seed, iterations=iterations, lambda_=regularizationParameter) with three parameters: an RDD consisting of tuples of the form (UserID, MovieID, rating) used to train the model, an integer rank (4, 8, or 12), a number of iterations to execute (we will use 5 for the iterations parameter), and a regularization coefficient (we will use 0.1 for the regularizationParameter).
For the prediction step, create an input RDD, validationForPredictRDD, consisting of (UserID, MovieID) pairs that you extract from validationRDD. You will end up with an RDD of the form: [(1, 1287), (1, 594), (1, 1270)]
Using the model and validationForPredictRDD, we can predict rating values by calling model.predictAll() with the validationForPredictRDD dataset, where model is the model we generated with ALS.train().  predictAll accepts an RDD with each entry in the format (userID, movieID) and outputs an RDD with each entry in the format (userID, movieID, rating).
Evaluate the quality of the model by using the computeError() function you wrote in part (2b) to compute the error between the predicted ratings and the actual ratings in validationRDD.
Which rank produces the best model, based on the RMSE with the validationRDD dataset?
Note: It is likely that this operation will take a noticeable amount of time (around a minute in our VM); you can observe its progress on the Spark Web UI. Probably most of the time will be spent running your computeError() function, since, unlike the Spark ALS implementation (and the Spark 1.4 RegressionMetrics module), this does not use a fast linear algebra library and needs to run some Python code for all 100k entries.
End of explanation
# TODO: Replace <FILL IN> with appropriate code
myModel = ALS.train(trainingRDD, rank=bestRank, seed=seed, iterations=iterations, lambda_=regularizationParameter)
testForPredictingRDD = testRDD.map(lambda (userID, movieID, rating) : (userID, movieID))
predictedTestRDD = myModel.predictAll(testForPredictingRDD)
testRMSE = computeError(testRDD, predictedTestRDD)
print 'The model had a RMSE on the test set of %s' % testRMSE
# TEST Testing Your Model (2d)
Test.assertTrue(abs(testRMSE - 0.87809838344) < tolerance, 'incorrect testRMSE')
Explanation: (2d) Testing Your Model
So far, we used the trainingRDD and validationRDD datasets to select the best model.  Since we used these two datasets to determine what model is best, we cannot use them to test how good the model is - otherwise we would be very vulnerable to overfitting.  To decide how good our model is, we need to use the testRDD dataset.  We will use the bestRank you determined in part (2c) to create a model for predicting the ratings for the test dataset and then we will compute the RMSE.
The steps you should perform are:
Train a model, using the trainingRDD, bestRank from part (2c), and the parameters you used in in part (2c): seed=seed, iterations=iterations, and lambda_=regularizationParameter - make sure you include all of the parameters.
For the prediction step, create an input RDD, testForPredictingRDD, consisting of (UserID, MovieID) pairs that you extract from testRDD. You will end up with an RDD of the form: [(1, 1287), (1, 594), (1, 1270)]
Use myModel.predictAll() to predict rating values for the test dataset.
For validation, use the testRDDand your computeError function to compute the RMSE between testRDD and the predictedTestRDD from the model.
Evaluate the quality of the model by using the computeError() function you wrote in part (2b) to compute the error between the predicted ratings and the actual ratings in testRDD.
End of explanation
# TODO: Replace <FILL IN> with appropriate code
trainingAvgRating = trainingRDD.map(lambda (userID, movieID, rating): rating).reduce(lambda r1, r2: (r1+r2))/trainingRDD.count()
print 'The average rating for movies in the training set is %s' % trainingAvgRating
testForAvgRDD = testRDD.map(lambda (userID, movieID, rating): (userID, movieID, trainingAvgRating))
testAvgRMSE = computeError(testRDD, testForAvgRDD)
print 'The RMSE on the average set is %s' % testAvgRMSE
# TEST Comparing Your Model (2e)
Test.assertTrue(abs(trainingAvgRating - 3.57409571052) < 0.000001,
                'incorrect trainingAvgRating (expected 3.57409571052)')
Test.assertTrue(abs(testAvgRMSE - 1.12036693569) < 0.000001,
                'incorrect testAvgRMSE (expected 1.12036693569)')
Explanation: (2e) Comparing Your Model
Looking at the RMSE for the results predicted by the model versus the values in the test set is one way to evalute the quality of our model. Another way to evaluate the model is to evaluate the error from a test set where every rating is the average rating for the training set.
The steps you should perform are:
Use the trainingRDD to compute the average rating across all movies in that training dataset.
Use the average rating that you just determined and the testRDD to create an RDD with entries of the form (userID, movieID, average rating).
Use your computeError function to compute the RMSE between the testRDD validation RDD that you just created and the testForAvgRDD.
End of explanation
print 'Most rated movies:'
print '(average rating, movie name, number of reviews)'
for ratingsTuple in movieLimitedAndSortedByRatingRDD.take(50):
    print ratingsTuple
Explanation: You now have code to predict how users will rate movies!
Part 3: Predictions for Yourself
The ultimate goal of this lab exercise is to predict what movies to recommend to yourself.  In order to do that, you will first need to add ratings for yourself to the ratingsRDD dataset.
(3a) Your Movie Ratings
To help you provide ratings for yourself, we have included the following code to list the names and movie IDs of the 50 highest-rated movies from movieLimitedAndSortedByRatingRDD which we created in part 1 the lab.
End of explanation
# TODO: Replace <FILL IN> with appropriate code
myUserID = 0
# Note that the movie IDs are the *last* number on each line. A common error was to use the number of ratings as the movie ID.
myRatedMovies = [
    (0, 516, 5),
    (0, 553, 5),
    (0, 811, 4),
    (0, 817, 2),
    (0, 539, 3),
    (0,848, 5),
    (0, 1300, 3),
    (0, 7895, 5),
    (0, 551, 2),
    (0, 750, 1)
     # The format of each line is (myUserID, movie ID, your rating)
     # For example, to give the movie "Star Wars: Episode IV - A New Hope (1977)" a five rating, you would add the following line:
     #   (myUserID, 260, 5),
    ]
myRatingsRDD = sc.parallelize(myRatedMovies)
print 'My movie ratings: %s' % myRatingsRDD.take(10)
Explanation: The user ID 0 is unassigned, so we will use it for your ratings. We set the variable myUserID to 0 for you. Next, create a new RDD myRatingsRDD with your ratings for at least 10 movie ratings. Each entry should be formatted as (myUserID, movieID, rating) (i.e., each entry should be formatted in the same way as trainingRDD).  As in the original dataset, ratings should be between 1 and 5 (inclusive). If you have not seen at least 10 of these movies, you can increase the parameter passed to take() in the above cell until there are 10 movies that you have seen (or you can also guess what your rating would be for movies you have not seen).
End of explanation
# TODO: Replace <FILL IN> with appropriate code
trainingWithMyRatingsRDD = trainingRDD.union(myRatingsRDD)
print ('The training dataset now has %s more entries than the original training dataset' %
       (trainingWithMyRatingsRDD.count() - trainingRDD.count()))
assert (trainingWithMyRatingsRDD.count() - trainingRDD.count()) == myRatingsRDD.count()
Explanation: (3b) Add Your Movies to Training Dataset
Now that you have ratings for yourself, you need to add your ratings to the training dataset so that the model you train will incorporate your preferences.  Spark's union() transformation combines two RDDs; use union() to create a new training dataset that includes your ratings and the data in the original training dataset.
End of explanation
# TODO: Replace <FILL IN> with appropriate code
myRatingsModel = ALS.train(trainingWithMyRatingsRDD, bestRank, seed=seed, iterations=iterations, lambda_=regularizationParameter)
Explanation: (3c) Train a Model with Your Ratings
Now, train a model with your ratings added and the parameters you used in in part (2c): bestRank, seed=seed, iterations=iterations, and lambda_=regularizationParameter - make sure you include all of the parameters.
End of explanation
# TODO: Replace <FILL IN> with appropriate code
predictedTestMyRatingsRDD = myRatingsModel.predictAll(testForPredictingRDD)
testRMSEMyRatings = computeError(testRDD, predictedTestMyRatingsRDD)
print 'The model had a RMSE on the test set of %s' % testRMSEMyRatings
Explanation: (3d) Check RMSE for the New Model with Your Ratings
Compute the RMSE for this new model on the test set.
For the prediction step, we reuse testForPredictingRDD, consisting of (UserID, MovieID) pairs that you extracted from testRDD. The RDD has the form: [(1, 1287), (1, 594), (1, 1270)]
Use myRatingsModel.predictAll() to predict rating values for the testForPredictingRDD test dataset, set this as predictedTestMyRatingsRDD
For validation, use the testRDDand your computeError function to compute the RMSE between testRDD and the predictedTestMyRatingsRDD from the model.
End of explanation
# TODO: Replace <FILL IN> with appropriate code
# Use the Python list myRatedMovies to transform the moviesRDD into an RDD with entries that are pairs of the form (myUserID, Movie ID) and that does not contain any movies that you have rated.
myUnratedMoviesRDD = (moviesRDD
                      .map(lambda (id, title): (0, id))
                      .filter(lambda (myUserID, movieID): movieID not in [movieID for (myID, movieID, rating) in myRatedMovies]))
# Use the input RDD, myUnratedMoviesRDD, with myRatingsModel.predictAll() to predict your ratings for the movies
predictedRatingsRDD = myRatingsModel.predictAll(myUnratedMoviesRDD)
Explanation: (3e) Predict Your Ratings
So far, we have only used the predictAll method to compute the error of the model.  Here, use the predictAll to predict what ratings you would give to the movies that you did not already provide ratings for.
The steps you should perform are:
Use the Python list myRatedMovies to transform the moviesRDD into an RDD with entries that are pairs of the form (myUserID, Movie ID) and that does not contain any movies that you have rated. This transformation will yield an RDD of the form: [(0, 1), (0, 2), (0, 3), (0, 4)]. Note that you can do this step with one RDD transformation.
For the prediction step, use the input RDD, myUnratedMoviesRDD, with myRatingsModel.predictAll() to predict your ratings for the movies.
End of explanation
# TODO: Replace <FILL IN> with appropriate code
# Transform movieIDsWithAvgRatingsRDD from part (1b), which has the form (MovieID, (number of ratings, average rating)), into and RDD of the form (MovieID, number of ratings)
movieCountsRDD = movieIDsWithAvgRatingsRDD.map(lambda (movieID, (num, avg)): (movieID, num))
# Transform predictedRatingsRDD into an RDD with entries that are pairs of the form (Movie ID, Predicted Rating)
predictedRDD = predictedRatingsRDD.map(lambda (myID, movieID, rating): (movieID, rating))
# Use RDD transformations with predictedRDD and movieCountsRDD to yield an RDD with tuples of the form (Movie ID, (Predicted Rating, number of ratings))
predictedWithCountsRDD  = (predictedRDD
                           .join(movieCountsRDD))
# Use RDD transformations with PredictedWithCountsRDD and moviesRDD to yield an RDD with tuples of the form (Predicted Rating, Movie Name, number of ratings), for movies with more than 75 ratings
ratingsWithNamesRDD = (predictedWithCountsRDD
                        .join(moviesRDD)
                       .map(lambda (movieID,((PredictedRating, num), name)) : (PredictedRating, name, num))
                       .filter(lambda (rating, name, num): num>75))
predictedHighestRatedMovies = ratingsWithNamesRDD.takeOrdered(20, key=lambda x: -x[0])
print ('My highest rated movies as predicted (for movies with more than 75 reviews):\n%s' %
        '\n'.join(map(str, predictedHighestRatedMovies)))
Explanation: (3f) Predict Your Ratings
We have our predicted ratings. Now we can print out the 25 movies with the highest predicted ratings.
The steps you should perform are:
From Parts (1b) and (1c), we know that we should look at movies with a reasonable number of reviews (e.g., more than 75 reviews). You can experiment with a lower threshold, but fewer ratings for a movie may yield higher prediction errors. Transform movieIDsWithAvgRatingsRDD from Part (1b), which has the form (MovieID, (number of ratings, average rating)), into an RDD of the form (MovieID, number of ratings): [(2, 332), (4, 71), (6, 442)]
We want to see movie names, instead of movie IDs. Transform predictedRatingsRDD into an RDD with entries that are pairs of the form (Movie ID, Predicted Rating): [(3456, -0.5501005376936687), (1080, 1.5885892024487962), (320, -3.7952255522487865)]
Use RDD transformations with predictedRDD and movieCountsRDD to yield an RDD with tuples of the form (Movie ID, (Predicted Rating, number of ratings)): [(2050, (0.6694097486155939, 44)), (10, (5.29762541533513, 418)), (2060, (0.5055259373841172, 97))]
Use RDD transformations with predictedWithCountsRDD and moviesRDD to yield an RDD with tuples of the form (Predicted Rating, Movie Name, number of ratings), for movies with more than 75 ratings. For example: [(7.983121900375243, u'Under Siege (1992)'), (7.9769201864261285, u'Fifth Element, The (1997)')]
End of explanation
<END_TASK>