Python机器学习代写，使用朴素贝叶斯分类实现一个基本的垃圾邮件过滤器。

TO SUBMIT HOMEWORK

To submit homework for a given homework assignment:

1. You *must* download the homework template file from Canvas, located in Files/Homework Templates and Pdfs, and modify this file to complete your Each template file is a python file that will give you a headstart in creating your homework python script. For a given homework number N, the template file name is homeworkN-cmpsc442.py. The template for homework #5 is homework5-cmpsc442.py. IF YOU DO NOT USE THE CORRECT TEMPLATE FILE, YOUR HOMEWORK CANNOT BE GRADED AND YOU WILL RECEIVE A ZERO. There is also a zip file in the same folder that you will need, called: homework5_data.zip
2. You *must* rename the file by replacing the file root using your PSU id that consists of your initials followed by This is the same as the part of your PSU email that precedes the “@” sign. For example, your instructor’s email is [email protected], and her PSU id is rjp49. Your homework files for every assignment will have the same name, e.g., rjp49.py. IF YOU DO NOT RENAME YOUR HOMEWORK FILE CORRECTLY, IT WILL NOT BE GRADED AND YOU WILL RECEIVE A ZERO. Do not be alarmed if you upload a revision, and it is renamed to include a numeric index, e.g., rjp49-1.py or rjp49-2.py. We can handle this automatic renaming.
3. You *must* upload your homework to the assignments area in Canvas by 11:59 pm on the due You will have two opportunities (NO MORE) to submit up to two days late. IF YOU DO NOT UPLOAD YOUR HOMEWORK TO THE ASSIGNMENT FOLDER BY THE DUE DATE (OR THE TWO-DAY GRACE PERIOD IN SOME CASES), IT CANNOT BE GRADED AND YOU WILL RECEIVE A ZERO.

Instructions

In this assignment, you will implement a basic spam filter using naive Bayes classification.

A skeleton file homework5‑cmpsc442.py containing empty definitions for each question has been provided. A zip file called homework5_data.zip has also been provided that contains the input train and test data (both are on Canvas in the folder called Files/Homework Templates and Pdfs). Since portions of this assignment will be graded automatically, none of the names or function signatures in the skeleton template file should be modified. However, you are free to introduce additional variables or functions if needed.

You may import definitions from any standard Python library, and are encouraged to do so in case you find yourself reinventing the wheel. If you are unsure where to start, consider taking a look at the data structures and functions defined in the collections, email, math, and os modules.

You will find that in addition to a problem specification, most programming questions also include one or two examples from the Python interpreter. In addition to performing your own testing, you are strongly encouraged to verify that your code gives the expected output for these examples before submitting.

It is highly recommended that you follow the Python style guidelines set forth in PEP 8, which was written in part by the creator of Python. However, your code will not be graded for style.

1.  Spam Filter [95 points]

In this section, you will implement a minimal system for spam filtering. You should unzip the homework5_data.zip file in the same location as your skeleton file; this will create a homework5_data/train folder and a homework5_data/dev folder. You will begin by processing the raw training data. Next, you will proceed by estimating the conditional probability distributions of the words in the vocabulary determined by each document class. Lastly, you will use a naive Bayes model to make predictions on the publicly available test set, located in homework5_data/dev.

1. [5 points] Making use of the email module, write a function load_tokens(email_path) that reads the email at the specified path, extracts the tokens from its message, and returns them as a list. Specifically, you should use the email.message_from_file(file_obj) function to create a message object from the contents of the file, and the email.iterators.body_line_iterator(message) function to iterate over the lines in the message. Here, tokens are considered to be contiguous substrings of non-whitespace characters.
2. [30 points] Write a function log_probs(email_paths, smoothing) that returns a dictionary from the words contained in the given emails to their Laplace-smoothed log-probabilities. Specifically, if the set V denotes the vocabulary of words in the emails, then the probabilities should be computed by taking the logarithms of  where w is a word in the vocabulary V, α is the smoothing constant (typically in the range 0 < α ≤ 1), and <UNK> denotes a special word that will be substituted for unknown tokens at test time.
3. [10 points] Write an initialization method init (self, spam_dir, ham_dir, smoothing) in the SpamFilter class that creates two log-probability dictionaries corresponding to the emails in the provided spam and ham directories, then stores them internally for future Also compute the class probabilities P(spam) and P(Øspam) based on the number of files in the input directories.
4. [25 points] Write a method is_spam(self, email_path) in the SpamFilter class that returns a Boolean value indicating whether the email at the given file path is predicted to be Tokens which were not encountered during the training process should be converted into the special word “<UNK>” in order to avoid zero probabilities.
5. [25 points] Suppose we define the spam indication value of a word w to be the quantity. Write a pair of methods most_indicative_spam(self, n) and most_indicative_ham(self, n) in the SpamFilter class which return the n most indicative words for each category, sorted in descending order based on their indication values. You should restrict the set of words considered for each method to those which appear in at least one spam email and one ham email. Hint: The probabilities computed within the      init (self, spam_dir, ham_dir, smoothing) method are sufficient to calculate these quantities.

2. Feedback [5 points]

1. [1 point] Approximately how long did you spend on this assignment?
2. [2 points] Which aspects of this assignment did you find most challenging? Were there any significant stumbling blocks?
3. [2 points] Which aspects of this assignment did you like? Is there anything you would have changed?