annotate Code/eda.py @ 17:ee13c193c76e

Continue working on EDA

# -*- coding: utf-8 -*-
"""
Created on Wed Jul 22 17:42:09 2015

@author: paulochiliguano
"""


from math import sqrt, log10
import numpy as np
from sklearn import mixture

#User-item dictionary
users = {"Angelica": {"SOAJJPC12AB017D63F": 3.5, "SOAKIXJ12AC3DF7152": 2.0,
                      "SOAKPFH12A8C13BA4A": 4.5, "SOAGTJW12A6701F1F5": 5.0,
                      "SOAKWCK12A8C139F81": 1.5, "SOAKNZI12A58A79CAC": 2.5,
                      "SOAJZEP12A8C14379B": 2.0},
         "Bill":{"SOAJJPC12AB017D63F": 2.0, "SOAKIXJ12AC3DF7152": 3.5,
                 "SOAHQFM12A8C134B65": 4.0, "SOAGTJW12A6701F1F5": 2.0,
                 "SOAKWCK12A8C139F81": 3.5, "SOAJZEP12A8C14379B": 3.0},
         "Chan": {"SOAJJPC12AB017D63F": 5.0, "SOAKIXJ12AC3DF7152": 1.0,
                  "SOAHQFM12A8C134B65": 1.0, "SOAKPFH12A8C13BA4A": 3.0,
                  "SOAGTJW12A6701F1F5": 5, "SOAKWCK12A8C139F81": 1.0},
         "Dan": {"SOAJJPC12AB017D63F": 3.0, "SOAKIXJ12AC3DF7152": 4.0,
                 "SOAHQFM12A8C134B65": 4.5, "SOAGTJW12A6701F1F5": 3.0,
                 "SOAKWCK12A8C139F81": 4.5, "SOAKNZI12A58A79CAC": 4.0,
                 "SOAJZEP12A8C14379B": 2.0},
         "Hailey": {"SOAKIXJ12AC3DF7152": 4.0, "SOAHQFM12A8C134B65": 1.0,
                    "SOAKPFH12A8C13BA4A": 4.0, "SOAKNZI12A58A79CAC": 4.0,
                    "SOAJZEP12A8C14379B": 1.0},
         "Jordyn":  {"SOAKIXJ12AC3DF7152": 4.5, "SOAHQFM12A8C134B65": 4.0,
                     "SOAKPFH12A8C13BA4A": 5.0, "SOAGTJW12A6701F1F5": 5.0,
                     "SOAKWCK12A8C139F81": 4.5, "SOAKNZI12A58A79CAC": 4.0,
                     "SOAJZEP12A8C14379B": 4.0},
         "Sam": {"SOAJJPC12AB017D63F": 5.0, "SOAKIXJ12AC3DF7152": 2.0,
                 "SOAKPFH12A8C13BA4A": 3.0, "SOAGTJW12A6701F1F5": 5.0,
                 "SOAKWCK12A8C139F81": 4.0, "SOAKNZI12A58A79CAC": 5.0},
         "Veronica": {"SOAJJPC12AB017D63F": 3.0, "SOAKPFH12A8C13BA4A": 5.0,
                      "SOAGTJW12A6701F1F5": 4.0, "SOAKWCK12A8C139F81": 2.5,
                      "SOAKNZI12A58A79CAC": 3.0}
        }

items = {"SOAJJPC12AB017D63F": [2.5, 4, 3.5, 3, 5, 4, 1, 5, 4, 1],
         "SOAKIXJ12AC3DF7152": [2, 5, 5, 3, 2, 1, 1, 5, 4, 1],
         "SOAKPFH12A8C13BA4A": [1, 5, 4, 2, 4, 1, 1, 5, 4, 1],
         "SOAGTJW12A6701F1F5": [4, 5, 4, 4, 1, 5, 1, 5, 4, 1],
         "SOAKWCK12A8C139F81": [1, 4, 5, 3.5, 5, 1, 1, 5, 4, 1],
         "SOAKNZI12A58A79CAC": [1, 5, 3.5, 3, 4, 5, 1, 5, 4, 1],
         "SOAJZEP12A8C14379B": [5, 5, 4, 2, 1, 1, 1, 5, 4, 1],
         "SOAHQFM12A8C134B65": [2.5, 4, 4, 1, 1, 1, 1, 5, 4, 1]}
'''
profile = {"Profile0": [2.5, 4, 3.5, 3, 5, 4, 1],
           "Profile1": [2.5, 4, 3.5, 3, 5, 4, 1],
           "Profile2": [2.5, 4, 3.5, 3, 5, 4, 1],
           "Profile3": [2.5, 4, 3.5, 3, 5, 4, 1],
           "Profile4": [2.5, 4, 3.5, 3, 5, 4, 1],
           "Profile5": [2.5, 4, 3.5, 3, 5, 4, 1],
           "Profile6": [2.5, 4, 3.5, 3, 5, 4, 1],
           "Profile7": [2.5, 4, 3.5, 3, 5, 4, 1]}
'''

'''
Functions to compute similarity between items or between profiles
'''
# Pearson Correlation Coefficient
# Source: http://www.guidetodatamining.com
def pearson(rating1, rating2):
    sum_xy = 0
    sum_x = 0
    sum_y = 0
    sum_x2 = 0
    sum_y2 = 0
    n = 0
    for key in rating1:
        if key in rating2:
            n += 1
            x = rating1[key]
            y = rating2[key]
            sum_xy += x * y
            sum_x += x
            sum_y += y
            sum_x2 += pow(x, 2)
            sum_y2 += pow(y, 2)
    if n == 0:
        return 0
    # now compute denominator
    denominator = sqrt(sum_x2 - pow(sum_x, 2) / n) * \
                  sqrt(sum_y2 - pow(sum_y, 2) / n)
    if denominator == 0:
        return 0
    else:
        return (sum_xy - (sum_x * sum_y) / n) / denominator

# Cosine Similarity for test purposes
def cosine_similarity(rating1, rating2):
    sum_xy = 0
    sum_x2 = 0
    sum_y2 = 0
    n = 0
    for key in rating1:
        if key in rating2:
            n += 1
            x = rating1[key]
            y = rating2[key]
            sum_xy += x * y
    if n == 0:
        return 0
    
    # now compute denominator
    for key in rating1:
        x = rating1[key]
        sum_x2 += pow(x, 2)
    
    for key in rating2:
        y = rating2[key]
        sum_y2 += pow(y, 2)
    
    denominator = sqrt(sum_x2) * sqrt(sum_y2)
    if denominator == 0:
        return 0
    else:
        return sum_xy / denominator

'''
Fitness function of EDA
'''
def Fitness(profile, user_index):
    sim = 0
    sum_log = 0
    
    features = profile.items()[user_index][1]
    songs = users.items()[user_index][1]
    
    for song, rating in songs.items():
        sim = pearson(features, items[song])
        print(sim)
    
    for username, songs in users.items():
        for song, rating in songs.items():
            sim = pearson(profile, items[song])
            #sum_log += log10(rating * sim)
    return sim


'''
Generation of M individuals uniformly
'''
population_size = len(users)
fraction_of_population = 0.5
np.random.seed(len(users))
M = np.random.uniform(1, 5, population_size * len(items.values()[0]))
M.shape = (-1, len(items.values()[0]))
profile = {}
i = 0
for row in M.tolist():
    profile["Profile" + str(i)] = M.tolist()[i]
    i = i + 1

'''
Calculate fitness values
'''
Fitness(profile, 0)

np.random.seed(1)
g = mixture.GMM(n_components=7)
# Generate random observations with two modes centered on 0
# and 10 to use for training.
obs = np.concatenate((np.random.randn(100, 1), 10 + np.random.randn(300, 1)))
g.fit(obs) 
np.round(g.weights_, 2)
np.round(g.means_, 2)
np.round(g.covars_, 2) 
g.predict([[0], [2], [9], [10]]) 
np.round(g.score([[0], [2], [9], [10]]), 2)
# Refit the model on new data (initial parameters remain the
# same), this time with an even split between the two modes.
g.fit(20 * [[0]] +  20 * [[10]]) 
np.round(g.weights_, 2)