namespace :detect_exercise_anomalies do # These factors determine if an exercise is an anomaly, given the average working time (avg): # (avg * MIN_TIME_FACTOR) <= working_time <= (avg * MAX_TIME_FACTOR) MIN_TIME_FACTOR = 0.1 MAX_TIME_FACTOR = 2 # Determines how many users are picked from the best/average/worst performers of each anomaly for feedback NUMBER_OF_USERS_PER_CLASS = 10 # Determines margin below which user working times will be considered data errors (e.g. copy/paste solutions) MIN_USER_WORKING_TIME = 0.0 # Cache exercise working times, because queries are expensive and values do not change between collections WORKING_TIME_CACHE = {} AVERAGE_WORKING_TIME_CACHE = {} task :with_at_least, [:number_of_exercises, :number_of_solutions] => :environment do |task, args| number_of_exercises = args[:number_of_exercises] number_of_solutions = args[:number_of_solutions] puts "Searching for exercise collections with at least #{number_of_exercises} exercises and #{number_of_solutions} users." # Get all exercise collections that have at least the specified amount of exercises and at least the specified # number of submissions AND are flagged for anomaly detection collections = get_collections(number_of_exercises, number_of_solutions) puts "Found #{collections.length}." collections.each do |collection| puts "\t- #{collection}" anomalies = find_anomalies(collection) if anomalies.length > 0 and not collection.user.nil? notify_collection_author(collection, anomalies) notify_users(collection, anomalies) reset_anomaly_detection_flag(collection) end end puts 'Done.' end def get_collections(number_of_exercises, number_of_solutions) ExerciseCollection .where(:use_anomaly_detection => true) .joins("join exercise_collections_exercises ece on exercise_collections.id = ece.exercise_collection_id join (select e.id from exercises e join submissions s on s.exercise_id = e.id group by e.id having count(s.user_id) > #{ExerciseCollection.sanitize(number_of_solutions)} ) as exercises_with_submissions on exercises_with_submissions.id = ece.exercise_id") .group('exercise_collections.id') .having('count(exercises_with_submissions.id) > ?', number_of_exercises) end def find_anomalies(collection) working_times = {} collection.exercises.each do |exercise| puts "\t\t> #{exercise.title}" working_times[exercise.id] = get_average_working_time(exercise) end average = working_times.values.reduce(:+) / working_times.size working_times.select do |exercise_id, working_time| working_time > average * MAX_TIME_FACTOR or working_time < average * MIN_TIME_FACTOR end end def time_to_f(timestamp) unless timestamp.nil? timestamp = timestamp.split(':') return timestamp[0].to_i * 60 * 60 + timestamp[1].to_i * 60 + timestamp[2].to_f end nil end def get_average_working_time(exercise) unless AVERAGE_WORKING_TIME_CACHE.key?(exercise.id) seconds = time_to_f exercise.average_working_time AVERAGE_WORKING_TIME_CACHE[exercise.id] = seconds end AVERAGE_WORKING_TIME_CACHE[exercise.id] end def get_user_working_times(exercise) unless WORKING_TIME_CACHE.key?(exercise.id) exercise.retrieve_working_time_statistics WORKING_TIME_CACHE[exercise.id] = exercise.working_time_statistics end WORKING_TIME_CACHE[exercise.id] end def notify_collection_author(collection, anomalies) puts "\t\tSending E-Mail to author (#{collection.user.displayname} <#{collection.user.email}>)..." UserMailer.exercise_anomaly_detected(collection, anomalies).deliver_now end def notify_users(collection, anomalies) puts "\t\tSending E-Mails to best and worst performing users of each anomaly..." anomalies.each do |exercise_id, average_working_time| puts "\t\tAnomaly in exercise #{exercise_id} (avg: #{average_working_time} seconds):" exercise = Exercise.find(exercise_id) users_to_notify = [] users = {} [:performers_by_time, :performers_by_score].each do |method| # merge users found by multiple methods returning a hash {best: [], worst: []} users = users.merge(send(method, exercise, NUMBER_OF_USERS_PER_CLASS)) {|key, this, other| this + other} end users.keys.each do |key| segment = users[key].uniq puts "\t\t\t#{key.to_s} performers: #{segment}" users_to_notify += segment end users_to_notify.uniq! # todo: send emails end end def performers_by_score(exercise, n) submissions = exercise.last_submission_per_user.where('score is not null').order(:score) best_performers = submissions.first(n).to_a.map {|item| item.user_id} worst_performers = submissions.last(n).to_a.map {|item| item.user_id} return {:best => best_performers, :worst => worst_performers} end def performers_by_time(exercise, n) working_times = get_user_working_times(exercise).values.map do |item| {user_id: item['user_id'], time: time_to_f(item['working_time'])} end working_times.reject! {|item| item[:time].nil? or item[:time] <= MIN_USER_WORKING_TIME} working_times.sort_by! {|item| item[:time]} working_times.map! {|item| item[:user_id].to_i} return {:best => working_times.first(n), :worst => working_times.last(n)} end def reset_anomaly_detection_flag(collection) puts "\t\tResetting flag..." collection.use_anomaly_detection = false collection.save! end end