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RECOMMENDER SYSTEMS
IN PRACTICE
RECOMMENDERS ARE EVERYWHERE
WHAT IS A RECOMMENDER?
Predictive model
Information filtering system
SYSTEM DESIGN
item
user
impression preference rating
(implicit/explicit)
data
collaborative
content / attributes
modelpredictionsrecommendations
attributes
• Goal
• Context
• Personalization
• Data
• Algorithm
SYSTEM REQUIREMENTS
NON-PERSONALIZED
CONTENT-BASED FILTERING
Depends on item attributes
COLLABORATIVE FILTERING
User-based
COLLABORATIVE FILTERING
Item-based
Collaborative filtering with Matrix Factorization
COLLABORATIVE FILTERING WITH
MATRIX FACTORIZATION
• User-based and item-based
• Customized for implicit feedback
• Scalable computation
BASIC SYSTEM
PREPROCESSING
MODEL
item rankings
POSTPROCESSING
1 0 0
1 1 1
1 0 1
user-item interactions
user-item ratings
1.2 0.8 0.2
1.3 1.2 1.1
1.2 1.1 0.9
predicted ratings
�𝒙𝒙𝑢𝑢,𝑖𝑖 = 𝑓𝑓 𝑢𝑢, 𝑖𝑖
𝒙𝒙𝑢𝑢,𝑖𝑖 = �
1 𝑟𝑟𝑢𝑢,𝑖𝑖 > 0
0 𝑟𝑟𝑢𝑢,𝑖𝑖 = 0
𝒄𝒄𝑢𝑢,𝑖𝑖 = 1 + 𝛼𝛼𝑟𝑟𝑢𝑢,𝑖𝑖
MATRIX FACTORIZATION
15 = 3 × 5
How does it work?
MATRIX FACTORIZATION
Summarize one large matrix into two smaller (lower-rank) matrices
How does it work?
3 4 5
6 8 10
=
1
2
3 4 5
MATRIX FACTORIZATION
items
users
ratings
𝑿𝑿
× item profiles
𝑯𝑯
userprofiles
𝑾𝑾
≈
�𝑿𝑿
= predicted
ratings
MATRIX FACTORIZATION
predicted
ratings=
𝒘𝒘𝑢𝑢
𝒉𝒉𝑖𝑖
= 𝒘𝒘𝑢𝑢
Τ
� 𝒉𝒉𝑖𝑖
Predicted rating of
user u for item i
items
�𝒙𝒙𝑢𝑢,𝑖𝑖
users
ratings
×
𝑿𝑿
≈
MATRIX FACTORIZATION
𝑚𝑚𝑚𝑚𝑚𝑚 �
𝑢𝑢,𝑖𝑖
𝒄𝒄𝑢𝑢𝑢𝑢 𝒙𝒙𝑢𝑢𝑢𝑢 − 𝒘𝒘𝑢𝑢
Τ
𝒉𝒉𝑖𝑖
2
+ 𝜆𝜆 �
𝑢𝑢
𝒘𝒘𝑢𝑢
2 + �
𝑖𝑖
𝒉𝒉𝑖𝑖
2
weighted prediction error regularization penalty
true rating
predicted ratingsample weight
items
users
ratings
×
userprofiles
item profiles
𝑾𝑾𝑿𝑿
𝑯𝑯
≈
Alternating Least Squares
0. Initiate 𝑾𝑾 and 𝑯𝑯 at random
1. Solve alternating:
• Fix 𝑯𝑯, optimize 𝑾𝑾
• Fix 𝑾𝑾 , optimize 𝑯𝑯
2. Repeat until convergence
MATRIX FACTORIZATION
item profiles ×
item-item
similarities
=
• Recommend item-to-item
• Cosine similarity of item profiles
𝑺𝑺𝑖𝑖,𝑗𝑗 =
𝒉𝒉𝑖𝑖 � 𝒉𝒉𝑗𝑗
𝒉𝒉𝑖𝑖 2 𝒉𝒉𝑗𝑗 2
𝒔𝒔𝑖𝑖
THE ESSENCE
Using data-driven user and item profiles….
user profiles item profiles
…to predict the preference of a specific user for a specific item
ratings
predicted
ratings
ADVANGATES AND DISADVANTAGES
+ Simultaneous latent user and item factors
+ Can handle sparse data
+ Scalable computation
− Temporal and popularity biases
− Cold start problem
− No context-awareness
popularity
sorted items
TAIL
HEAD
CROSS-VALIDATION
train
train
train
test
Temporal splitQuasi-random split
train
test
items
users
Note: test user and item need to be present in train set
0.750.25
OFFLINE EVALUATION
Ranking metrics
Top items more important? (MRR, MAP, nDCG)
Simple: Average Percentile Rank
TESTTRAIN
APR =
ONLINE EVALUATION
Many assumptions and biases in offline recommender evaluation
Best option: go live, measure business value
CONTEXT-AWARE RECOMMENDERS
Neural network view of matrix factorization
contextmetadatastandard matrix factorization
factorization layer
… … sparse features
output layer
…× ×
…
… …
dense features / embeddings
×biases +
PRACTICAL ADVISE
• Never instantiate full user-item matrix!
• Based on volumes, go for scalable framework (e.g. Spark MLlib)
• Based on requirements, go for flexible framework (e.g. TensorFlow)
SUMMARY
• Recommender use cases
• Types of recommender algorithms
• Matrix factorization
• Recommender evaluation
• Various challenges
>> Time for hands-on!

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