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用 Python 构建推荐引擎

Rob O'Callaghan

Director of Data

Jaccard 相似度简介

Jaccard 相似度： 展示 Jaccard 相似度的维恩图。 $$J(A,B)=\frac{A\cap B }{A \cup B}$$

用 Python 构建推荐引擎

计算图书间的 Jaccard 相似度

genres_array_df：

Book Adventure Fantasy Tragedy Social commentary ...
The Hobbit 1 1 0 0 ...
The Great Gatsby 0 0 1 1 ...
A Game of Thrones 0 1 0 0 ...
Macbeth 0 0 1 0 ...
... ... ... ... ... ...
用 Python 构建推荐引擎

计算图书间的 Jaccard 相似度

from sklearn.metrics import jaccard_score


hobbit_row = book_genre_df.loc['The Hobbit']

GOT_row = book_genre_df.loc['A Game of Thrones']


print(jaccard_score(hobbit_row, GOT_row))

0.5
用 Python 构建推荐引擎

计算所有项目之间的距离

from scipy.spatial.distance import pdist, squareform


jaccard_distances = pdist(book_genre_df.values, metric='jaccard')
print(jaccard_distances)

[1.  0.5 1.  1.  0.5 1. ]

square_jaccard_distances = squareform(jaccard_distances)
print(square_jaccard_distances)

[[0.  1.  0.5 1. ]
 [1.  0.  1.  0.5]
 [0.5 1.  0.  1. ]
 [1.  0.5 1.  0. ]]
用 Python 构建推荐引擎

计算所有项目之间的距离

print(square_jaccard_distances)

[[0.  1.  0.5 1. ]
 [1.  0.  1.  0.5]
 [0.5 1.  0.  1. ]
 [1.  0.5 1.  0. ]]

jaccard_similarity_array = 1 -  square_jaccard_distances
print(jaccard_similarity_array)

[[1.  0.  0.5 0. ]
 [0.  1.  0.  0.5]
 [0.5 0.  1.  0. ]
 [0.  0.5 0.  1. ]]
用 Python 构建推荐引擎

创建可用的距离表

distance_df = pd.DataFrame(jaccard_similarity_array,
                           index=genres_array_df['Book'], 
                           columns=genres_array_df['Book'])

distance_df.head()

            The Hobbit The Great Gatsby  A Game of Thrones          Macbeth     ...
The Hobbit        1.00             0.15               0.75             0.01     ...
The Great Gatsby  0.15             1.00               0.01             0.43     ...
...
用 Python 构建推荐引擎

比较图书

print(distance_df['The Hobbit']['A Game of Thrones'])

0.75

print(distance_df['The Hobbit']['The Great Gatsby'])

0.15
用 Python 构建推荐引擎

查找最相似的图书

print(distance_df['The Hobbit'].sort_values(ascending=False))

title
The Hobbit                                                             1.00
The Two Towers                                                         0.91
A Game of Thrones                                                      0.50
...
用 Python 构建推荐引擎

Passons à la pratique !

用 Python 构建推荐引擎

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