Introduction

In this project, you will create a visualization of restaurant ratings using machine learning and the Yelp academic dataset. In this visualization, Berkeley is segmented into regions, where each region is shaded by the predicted rating of the closest restaurant (yellow is 5 stars, blue is 1 star). Specifically, the visualization you will be constructing is a Voronoi diagram.

In the map above, each dot represents a restaurant. The color of the dot is determined by the restaurant's location. For example, downtown restaurants are colored green. The user that generated this map has a strong preference for Southside restaurants, and so the southern regions are colored yellow.

This project uses concepts from Sections 2.1, 2.2, 2.3, and 2.4.3 of Composing Programs. It also introduces techniques and concepts from machine learning, a growing field at the intersection of computer science and statistics that analyzes data to find patterns and make predictions.

The maps.zip parchive contains all the starter code and data sets. The project uses several files, but all of your changes will be made to utils.py, abstractions.py, and recommend.py.

• abstractions.py: Data abstractions used in the project
• recommend.py: Machine learning algorithms and data processing
• utils.py: Utility functions for data processing
• ucb.py: Utility functions for miscellaneous and debugging
• data: A directory of Yelp users, restaurants, and reviews
• ok: The autograder
• proj1.ok: The ok configuration file
• tests: A directory of tests used by ok
• users: A directory of user files
• visualize: A directory of tools for drawing the final visualization

You can obtain all the files needed for this project by downloading this zip archive.

Logistics

This is a 12 day project. You may work with one other partner. You should not share your code with students who are not your partner or copy from anyone else's solutions.

In the end, you will submit one project for both partners. The project is worth 40 points.

You will turn in the following files:

• utils.py
• abstractions.py
• recommend.py

You do not need to modify or turn in any other files to complete the project. To submit the project, run the following command:

python3 ok --submit

You will be able to view your submissions on the Ok dashboard.

For the functions that we ask you to complete, there may be some initial code that we provide. If you would rather not use that code, feel free to delete it and start from scratch. You may also add new function definitions as you see fit.

However, please do not modify any other functions. Doing so may result in your code failing our autograder tests. Also, please do not change any function signatures (names, argument order, or number of arguments).

In the end, you will submit one project for both partners. The project is worth 40 points. 36 points are assigned based on correctness for your final submission, and 4 points are for the mid-project checkpoint.

Make sure you have added your partner on OK before submitting the project.

The assignment is due on Monday, 3/8, at 11:59pm. We will have a mid-project checkpoint due Monday, 3/1 at 11:59pm.

• Part 1: Phases 0 and 1 are due on Monday, 3/1, at 11:59pm. To submit, run python3 ok --submit. You cannot use slip days on the mid project checkpoint. If you submit this mid-project checkpoint 1 day early (by Sunday, 2/28 at 11:59pm), you will receive 1 point of EC.
• The entire project (including Part 1) is due on Monday, 3/8, at 11:59pm. To submit, run python3 ok --submit. We will only grade your last submission before the deadline. If you submit the entire project 2 days early (by Saturday 3/6, at 11:59 pm), you will receive 2 points of EC.

Testing

Throughout this project, you should be testing the correctness of your code. It is good practice to test often, so that it is easy to isolate any problems.

We have provided an autograder called ok to help you with testing your code and tracking your progress.

The primary purpose of ok is to test your implementations, but there is a catch. At first, the test cases are locked. To unlock tests, run the following command from your terminal:

python3 ok -u

This command will start an interactive prompt that looks like:

=====================================================================
Assignment: Maps
OK, version ...
=====================================================================

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Unlocking tests

At each "? ", type what you would expect the output to be.
Type exit() to quit

---------------------------------------------------------------------
Question 0 > Suite 1 > Case 1
(cases remaining: 1)

>>> Code here
?

At the ?, you can type what you expect the output to be. If you are correct, then this test case will be available the next time you run the autograder.

The idea is to understand conceptually what your program should do first, before you start writing any code.

Once you have unlocked some tests and written some code, you can check the correctness of your program using the tests that you have unlocked:

python3 ok

Most of the time, you will want to focus on a particular question. Use the -q option as directed in the problems below.

The tests folder is used to store autograder tests, so make sure not to modify it. You may lose all your unlocking progress if you do. If you need to get a fresh copy, you can download the zip archive and copy it over, but you will need to start unlocking from scratch.

If you are ever stuck on a problem, you should add print statements to your code to help debug. Use print("DEBUG:", variable) to see the value of variable and still have your tests pass.

Phase 0: Utilities

All changes in this phase will be made to utils.py.

Problem 0 (4 pt)

Before starting the core project, familiarize yourself with some Python features by completing utils.py. Each function described below can be implemented in one line. As you work through this phase, you can unlock the test cases for these exercises and check your solutions by running ok:

python3 ok -q 00 -u
python3 ok -q 00

Note on Lambdas

Lambdas are anonymous function definitions. They allow us to define a function and use it without explicitly giving it a name. They are useful because they allow us to define functions for one-time use without clogging up our namespace. (Coming up with new names is hard, you know?) A lambda takes in a number of arguments. It evaluates a single expression using those arguments, and returns the value that the expression evaluates to. Lambdas have the following syntax:

lambda <arguments>: <expression using arguments>

Below are a couple of examples of lambda expressions:

>>> square = lambda x: x * x
>>> square(4)
16
>>> plus = lambda x,y: x + y
>>> plus(2, 3)
5
>>> (lambda x: x[0])([1, 2, 3])
1

Note that as with other functions, a lambda function's lexical parent is the frame in which it was defined.

Note on Dictionaries

You've actually seen several abstract data types! List, tuples, ranges, and even strings are examples of abstract data types. Dictionary is another example of abstract data types.

Dictionaries are unordered sets of key-value pairs. To create a dictionary, use the following syntax:

>>> singers = { 'Iggy Azalea': 'Fancy', 'Beyonce': 'Flawless', 'Adam Levine': 'Maps'}

The curly braces denote the key-value pairs in your dictionary. Each key-value pair is separated by a comma. For each pair, the key appears to the left of the colon and the value appears to the right of the colon. (This is a dictionary's constructor!) You can retrieve values from your dictionary by "indexing" using the key:

>>> singers['Beyonce']
'Flawless'
>>> singers['Iggy Azalea']
'Fancy'

You can update an entry for an existing key in the dictionary using the following syntax. What this means is that each key is unique. Be careful, adding a new key follows identical syntax!

>>> singers['Beyonce'] = 'Survivor'
>>> singers['Beyonce']
'Survivor'
>>> singers['Nicki Minaj'] = 'Anaconda' # new entry!
>>> singers['Nicki Minaj']
'Anaconda'

You can also check for membership of keys!

>>> 'Adam Levine' in singers
True

Recall how we can iterate through a list using for-loops. For example, you can do something like this:

>>> a = [1,2,3]
>>> for each in a:
...     print(each)
1
2
3

What happens if you iterate through a dictionary? Can you even iterate through a dictionary?? Notice what happens:

>>> shopping_cart = {"apple":3, "bananas":4, "orange":6}
>>> for each in shopping_cart:
...     print(each)
apple
bananas
orange

Notice that when you iterate through a dictionary, the set of keys is what you iterate through. How would you print out values instead? You can simply do:

>>> shopping_cart = {"apple":3, "bananas":4, "orange":6}
>>> for each in shopping_cart:
...     print(shopping_cart[each])
3
4
5

Problem 0.1: Using list comprehensions

Recall that a list comprehension constructs a new list from an existing sequence by first filtering the given sequence, and then computing an element of the result for each remaining element that is not filtered out. A list comprehension has the following syntax:

[<map expression> for <name> in <sequence expression> if <filter expression>]

For example, if we wanted to square every even integer in range(10), we could write:

>>> [x * x for x in range(10) if x % 2 == 0]
[0, 4, 16, 36, 64]

In utils.py, implement map_and_filter. This function takes in a sequence s, a one-argument function mapper, and a one-argument function filterer. It returns a new list containing the result of calling mapper on each element of s for which filterer returns a true value. Make sure your solution is only one line and uses a list comprehension.

Problem 0.2: Using min

The built-in min function takes a sequence (such as a list or a dictionary) and returns the sequence's smallest element. The min function can also take a keyword argument called key, which must be a one-argument function. The key function is called with each element of the list, and the return values are used for comparison. For example:

>>> min([-1, 0, 1]) # no key argument; smallest input
-1
>>> min([-1, 0, 1], key=lambda x: x*x) # input with the smallest square
0

In utils.py, implement key_of_min_value, which takes in a dictionary d and returns the key that corresponds to the minimum value in d. This behavior differs from just calling min on a dictionary, which would return the smallest key. Make sure your solution is only one line and uses the min function.

Problem 0.3: Using zip

The zip function defined in utils.py takes multiple sequences as arguments and returns a list of lists, where the i-th list contains the i-th element of each original list. For example:

>>> zip([1, 2, 3], [4, 5, 6])
[[1, 4], [2, 5], [3, 6]]
>>> for triple in zip(['a', 'b', 'c'], [1, 2, 3], ['do', 're', 'mi']):
...     print(triple)
['a', 1, 'do']
['b', 2, 're']
['c', 3, 'mi']

In utils.py, use the zip function to implement enumerate, which takes a sequence s and a starting index start. It returns a list of pairs, in which the i-th element is i+start paired with the i-th element of s. Make sure your solution is only one line and uses the zip function and a range.

Note: zip and enumerate are also built-in Python functions, but their behavior is slightly different than the versions provided in utils.py.

Phase 1: Data Abstraction

All changes in this phase will be made to abstraction.py.

Complete the data abstractions in abstractions.py. Two of the data abstractions have already been completed for you: the review data abstraction and the user data abstraction. Make sure that you understand how they work.

Problem 1 (2 pt)

Complete the implementations of the constructor and selectors for the restaurant data abstraction. You can use any implementation you choose, but the constructor and selectors must be defined together to satisfy the following description. A starter implementation using a dictionary is provided.

• make_restaurant: return a restaurant constructed from five arguments:

  • name (a string)
  • location (a list containing latitude and longitude)
  • categories (a list of strings)
  • price (a number)
  • reviews (a list of review data abstractions created by make_review)
• restaurant_name: return the name of a restaurant
• restaurant_location: return the location of a restaurant
• restaurant_categories: return the categories of a restaurant
• restaurant_price: return the price of a restaurant
• restaurant_ratings: return a list of ratings (numbers)

Use OK to unlock and test your code:

python3 ok -q 01 -u
python3 ok -q 01

Problem 2 (2 pt)

Implement the restaurant_num_ratings and restaurant_mean_rating functions, without assuming any particular implementation of a restaurant.

Be sure not to violate abstraction barriers! Test your implementation before moving on:

python3 ok -q 02 -u
python3 ok -q 02

When you finish, you should be able to generate a visualization of all restaurants rated by a user. Use -u to select a user from the users directory. You can even create your own.

python3 recommend.py
python3 recommend.py -u one_cluster

Note: You may have to refresh your browser to update the visualization.

Phase 2: Unsupervised Learning

All changes in this phase will be made to recommend.py.

Restaurants tend to appear in clusters (e.g. Southside restaurants, Gourmet Ghetto). In this phase, we will devise a way to group together restaurants that are close to each other.

The k-means algorithm is a method for discovering the centers of clusters. It is called an unsupervised learning method because the algorithm is not told what the correct clusters are; it must infer the clusters from the data alone.

The k-means algorithm finds k centroids within a dataset that each correspond to a cluster of inputs. To do so, k-means begins by choosing k centroids at random, then alternates between the following two steps:

1. Group the restaurants into clusters, where each cluster contains all restaurants that are closest to the same centroid.
2. Compute a new centroid (average position) for each new cluster.

This visualization is a good way to understand how the algorithm works, and this explanation might also help in understanding k-means.

Glossary

As you complete the remaining questions, you will encounter the following terminology. Be sure to refer back here if you're ever confused about what a question is asking.

• location: A pair containing latitude and longitude
• centroid: A location (see above) that represents the center of a cluster
• restaurant: A restaurant data abstraction, as defined in abstractions.py
• cluster: A list of restaurants
• user: A user data abstraction, as defined in abstractions.py
• review: A review data abstraction, as defined in abstractions.py
• feature function: A single-argument function that takes a restaurant and returns a number, such as its mean rating or price

Problem 3 (2 pt)

Implement find_closest, which takes a location and a sequence of centroids (locations). It returns the element of centroids closest to location.

You should use the distance function from utils.py to measure distance between locations. The distance function calculates the Euclidean distance between two locations.

If two centroids are equally close, return the one that occurs first in the sequence of centroids.

Hint: Use the min function.

Use OK to unlock and test your code:

python3 ok -q 03 -u
python3 ok -q 03

Problem 4 (4 pt)

Implement group_by_centroid, which takes a sequence of restaurants and a sequence of centroids (locations) and returns a list of clusters. Each cluster of the result is a list of restaurants that are closer to a specific centroid in centroids than any other centroid. The order of the list of clusters returned does not matter.

If a restaurant is equally close to two centroids, it is associated with the centroid that appears first in the sequence of centroids.

Hint: Use the provided group_by_first function to group together all values for the same key in a list of [key, value] pairs. You can look at the doctests to see how to use it.

Be sure not violate abstraction barriers! Test your implementation before moving on:

python3 ok -q 04 -u
python3 ok -q 04

Problem 5 (4 pt)

Implement find_centroid, which finds the centroid of a cluster (a list of restaurants) based on the locations of the restaurants. The centroid latitude is computed by averaging the latitudes of the restaurant locations. The centroid longitude is computed by averaging the longitudes.

Hint: Use the mean function from utils.py to compute the average value of a sequence of numbers.

Be sure not violate abstraction barriers! Test your implementation before moving on:

python3 ok -q 05 -u
python3 ok -q 05

Problem 6 (2 pt)

Complete the implementation of k_means. In each iteration of the while statement,

1. Group restaurants into clusters, where each cluster contains all restaurants closest to the same centroid. (Hint: Use group_by_centroid)
2. Bind centroids to a new list of the centroids of all the clusters. (Hint: Use find_centroid)

Use OK to unlock and test your code:

python3 ok -q 06 -u
python3 ok -q 06

Your visualization can indicate which restaurants are close to each other (e.g. Southside restaurants, Northside restaurants). Dots that have the same color on your map belong to the same cluster of restaurants. You can get more fine-grained groupings by increasing the number of clusters with the -k option.

python3 recommend.py -k 2
python3 recommend.py -u likes_everything -k 3

Congratulations! You've now implemented an unsupervised learning algorithm.

Phase 3: Supervised Learning

All changes in this phase will be made to recommend.py.

In this phase, you will predict what rating a user would give for a restaurant. You will implement a supervised learning algorithm that attempts to generalize from examples for which the correct rating is known, which are all of the restaurants that the user has already rated. By analyzing a user's past ratings, we can then try to predict what rating the user might give to a new restaurant. When you complete this phase, your visualization will include all restaurants, not just the restaurants that were rated by a user.

To predict ratings, you will implement simple least-squares linear regression, a widely used statistical method that approximates a relationship between some input feature (such as price) and an output value (the rating) with a line. The algorithm takes a sequence of input-output pairs and computes the slope and intercept of the line that minimizes the mean of the squared difference between the line and the outputs.

Problem 7 (6 pt)

Implement the find_predictor function, which takes in a user, a sequence of restaurants, and a feature function called feature_fn. find_predictor returns two values: a predictor function and an r_squared value.

Use least-squares linear regression to compute the predictor and r_squared. This method, described below, computes the coefficients a and b for the predictor line y = a + bx. The r_squared value measures how accurately this line describes the original data.

One method of computing these values is by calculating the sums of squares, S_xx, S_yy, and S_xy:

• S_xx = Σ_i (x_i - mean(x))²
• S_yy = Σ_i (y_i - mean(y))²
• S_xy = Σ_i (x_i - mean(x)) (y_i - mean(y))

After calculating the sums of squares, the regression coefficients (a and b) and r_squared are defined as follows:

• b = S_xy / S_xx
• a = mean(y) - b * mean(x)
• R² = S_xy² / (S_xx S_yy)

Hint: The mean function can be helpful here.

Use OK to unlock and test your code:

python3 ok -q 07 -u
python3 ok -q 07

Problem 8 (4 pt)

Implement best_predictor, which takes a user, a list of restaurants, and a sequence of feature_fns. It uses each feature function to compute a predictor function, then returns the predictor that has the highest r_squared value. All predictors are learned from the subset of restaurants reviewed by the user (called reviewed in the starter implementation).

Hint: The max function can also take a key argument, just like min.

Use OK to unlock and test your code:

python3 ok -q 08 -u
python3 ok -q 08

Problem 9 (4 pt)

Implement rate_all, which takes a user and list of restaurants. It returns a dictionary where the keys are the names of each restaurant in restaurants. Its values are ratings (numbers).

If a restaurant was already rated by the user, rate_all will assign the restaurant the user's rating. Otherwise, rate_all will assign the restaurant the rating computed by the best predictor for the user. The best predictor is chosen using a sequence of feature_fns.

Hint: You may find the user_rating function in abstractions.py useful.

Be sure not violate abstraction barriers! Test your implementation before moving on:

python3 ok -q 09 -u
python3 ok -q 09

Problem 10 (2 pt)

To focus the visualization on a particular restaurant category, implement search. The search function takes a category query and a sequence of restaurants. It returns all restaurants that have query as a category.

Hint: you might find a list comprehension useful here.

Be sure not violate abstraction barriers! Test your implementation:

python3 ok -q 10 -u
python3 ok -q 10

Congratulations, you've completed the project! The -q option allows you to filter based on a category. For example, the following command visualizes all sandwich restaurants and their predicted ratings for the user who likes_expensive restaurants:

python3 recommend.py -u likes_expensive -k 2 -p -q Sandwiches

Predicting your own ratings

Once you're done, you can use your project to predict your own ratings too! Here's how:

1. In the users directory, you'll see a couple of .dat files. Copy one of them and rename the new file to yourname.dat (for example, michael.dat).

2. In the new file (e.g. michael.dat), you'll see something like the following:

   make_user(
       'Michael Box',     # name
       [                   # reviews
           make_review('Jasmine Thai', 4.0),
           ...
       ]

   Replace the second line with your name (as a string).

3. Replace the existing reviews with reviews of your own! You can get a list of Berkeley restaurants with the following command:

   python3 recommend.py -r

   Rate a couple of your favorite (or least favorite) restaurants.

4. Use recommend.py to predict ratings for you:

   python3 recommend.py -u michael -k 2 -p -q Sandwiches

   (Replace michael with your name.) Play around with the number of clusters (the -k option) and try different queries (with the -q option)!

How accurate is your predictor?