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LightGCN
1
: Simplifying and Powering Graph Convolution Network for Recommendation
Why GCN works well for CF?
NGCF Recap
Self-Connection
Normalization
NGCF Component (1)
Self-Connection?
Aggregation
Non Linear Activation
Feature Transformation
NGCF Component (2)
Non Linear Activation
Feature Transformation
NGCF largely follows
Semi-Supervised Classification with Graph
Convolutional Networks
Semi-Supervised Classification with Graph
Convolutional Networks
Rich semantic features

(e.g. titles, abstract words)

What About CF situation?
Ablation Study
- NGCF-n : w/o Non-Linear Activation

- NGCF-f : w/o Feature Transformation

- NGCF-fn: w/o Non-Linear + w/o Feature Transformation
“we claim that when designing model for recommendation, it is
important to perform rigorous ablation studies to be clear about
the impact of each operation. Otherwise, including less useful
operations will complicate the model unnecessarily, increase the
training di
ffi
culty, and even degrade model e
ff
ectiveness.”
“the deterioration of NGCF stems from the training di
ffi
culty,
rather than over
fi
tting”
Ablation Study - Conclusion
Use Essential Ingredient Component of GCN
with Rationale
No non-linear! No feature trans!

🤔 No self-connection?
Concat => Weighted Sum
This Captures Self-Connection.
Summary - Matrix Form
Rationale(1) - Self-Connection is implied.
Define :
Then :

By Binomial Theorem
Same as
previous slide :
Rationale(1) - Self-Connection is implied.
Define :
Then :

By Binomial Theorem
Same as
previous slide :
Actually, This comes from
“Simplifying Graph Convolutional Networks”
Rationale(2) - LightCGN combat oversmoothing.
Define :
Then :
Same as
previous slide :
Rationale(2) - LightCGN combat oversmoothing.
Define :
Then :
Same as
previous slide :
“Predict then propagate: Graph neural networks
meet personalized pagerank”
Rationale(3) - Its interpretability says it is CF.
When is big?
Cv→u
Training Recipe
- Loss : BPR
- Optimizer : Adam
- Do not use Dropout
- Layer Combination coefficient: 1/(K + 1)
Experiments
- Comparison with NGCF
- Comparison with SOTA
- Ablation Studies
- Impact of Layer Combination
- Impact of Symmetric Sort Normalization
- Analysis of Embedding Smoothness
- Hyper-Parameter Study
Comparison with NGCF
Comparison with SOTA
Ablation Studies - Impact of Layer Combination
1. Focus on LightGCN-single

2. Focus on LightGCN

3. Compare
Ablation Studies - Symmetric Sort Normalization
à = D−1
2 AD−1
2
=> Removing Square
L1
Ablation Studies - Analysis of Embedding Smoothness
Hyper-Parameter Study
Furthermore(1) - UltraGCN
Furthermore(2)

Embarrassingly Shallow Autoencoders for Sparse Data

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[PaperReview] LightGCN: Simplifying and Powering Graph Convolution Network for Recommendation