This 4-credit PhD-level course covers state-of-the-art
research on mining and learning with graphs. Topics include, but are not
limited to, vertex classification, graph clustering, link prediction and
analysis, graph distances, graph embedding and network representation learning,
deep learning on graphs, anomaly detection on graphs, graph summarization,
network inference, adversarial learning on networks, and notions of fairness in
social networks.
Students are expected to have taken courses on or have
knowledge of the following:
This course does not have a designated textbook. The readings
are assigned in the syllabus (see below).
|
Date
|
Lecturer
|
Readings
|
|
Fri Sep 5
|
Tina Eliassi-Rad
|
Overview
·
The Why, How, and
When of Representations for
Complex Systems
|
|
Tue Sep 9
|
Tina Eliassi-Rad
|
Homophily
·
Distribution of Node
Characteristics in Complex Networks
·
Combinatorial
Characterizations and Impossibilities for Higher-order Homophily
·
Higher-order
Homophily on Simplicial Complexes
Axiomatic Approaches
·
Measuring Tie Strength in
Implicit Social Networks
|
|
Fri Sep 12
|
Tina Eliassi-Rad
|
Network Comparison and Graph Distances
·
A Guide to Selecting a
Network Similarity Method
·
Network
Comparison and the Within-ensemble Graph Distance
·
Non-backtracking
Cycles: Length Spectrum Theory and Graph Mining Applications
·
[reference]
netrd: A library for Network Reconstruction and Graph
Distances
|
|
Tue Sep 16
|
Tina Eliassi-Rad
|
Role Discovery
·
It's Who You Know: Graph
Mining Using Recursive Structural Features
·
RolX:
Structural Role Extraction & Mining in Large Graphs
·
Guided learning for Role
Discovery (GLRD): Framework, Algorithms, and Applications
|
|
Fri Sep 19
|
Tina Eliassi-Rad
|
Graph Representation Learning: Node Embedding
·
Laplacian
Eigenmaps for Dimensionality Reduction and Data Representation
·
node2vec:
Scalable Feature Learning for Networks
·
Structural
Deep Network Embedding
·
STABLE: Identifying and
Mitigating Instability in Embeddings of the Degenerate Core
·
[reference]
Machine Learning on Graphs: A
Model and Comprehensive Taxonomy
·
[reference]
Network Representation Learning:
From Preprocessing, Feature Extraction to Node Embedding
·
[optional]
Next Waves in Veridical Network
Embedding
|
|
Tue Sep 23
|
Team 1
|
Low-rank Representations of Complex Networks
·
The Impossibility of
Low-rank Representations for Triangle-Rich Complex Networks
·
Node Embeddings and Exact Low-rank
Representations of Complex Networks
·
[optional]
Classic Graph Structural Features
Outperform Factorization-Based Graph Embedding Methods on Community Labeling
·
[optional]
Link Prediction
Using Low-dimensional Node Embeddings: The Measurement Problem
|
|
Fri Sep 26
|
Team 2
|
Graph Neural Networks
·
Semi-Supervised
Classification with Graph Convolutional Networks
·
Graph Attention Networks
·
Inductive Representation Learning on
Large Graphs
·
[reference]
Graph Neural Networks: A Review of
Methods and Applications
·
[reference]
A Comprehensive Survey on Graph
Neural Networks
·
[optional]
Everything is Connected: Graph
Neural Networks
|
|
Tue Sep 30
|
Team 3
|
This and That
·
Hyperbolic Graph Convolutional Neural
Networks
·
Pitfalls of Graph Neural Network
Evaluation
·
Design Space for Graph Neural
Networks (GitHub page)
·
[optional]
The Numerical Stability of Hyperbolic Representation Learning
|
|
Fri Oct 3
|
Team 4
|
Collective Classification
·
Collective Classification in Network
Data
·
Graph Belief Propagation Networks
·
[optional]
Cautious
Collective Classification
|
|
Tue Oct 7
|
Team 5
|
Label Propagation on Graphs
·
Combining Label Propagation and
Simple Models Out-performs Graph Neural Networks
·
Masked Label
Prediction: Unified Message Passing Model for Semi-Supervised Classification
·
[optional]
Message passing all the way up
Class
project proposals are due at 11:59 PM Eastern.
|
|
Fri Oct 10
|
Team 6
|
GNNs for Recommendation Systems
·
LightGCN:
Simplifying and Powering Graph Convolution Network for Recommendation
·
Neural Graph Collaborative
Filtering
·
Graph Convolutional Neural
Networks for Web-Scale Recommender Systems
·
[reference]
Graph Neural Networks in
Recommender Systems: A Survey
·
[reference]
A Survey of Graph Neural Networks
for Recommender Systems: Challenges, Methods, and Directions
|
|
Tue Oct 14
|
Team 7
|
Hypergraphs and Higher-order Models with
applications to Graph ML for Optimization
·
Assigning Entities to Teams as a
Hypergraph Discovery Problem
·
Distributed
constrained combinatorial optimization leveraging hypergraph neural networks
·
[reference]
A Survey on Hypergraph Mining:
Patterns, Tools, and Generators
·
[optional]
Random
Walks on Hypergraphs with Edge-Dependent Vertex Weights
·
[optional]
Hypergraph Neural Networks
·
[optional]
Simplicial Attention Networks
|
|
Fri Oct 17
|
Team 1
|
Oversmooting and Oversquashing
·
A Survey on Oversmoothing
in Graph Neural Networks
·
How does over-squashing affect the
power of GNNs?
·
Neural Sheaf Diffusion: A Topological
Perspective on Heterophily and Oversmoothing in
GNNs
|
|
Tue Oct 21
|
Team 2
|
W-L Graph Kernels and Power of GNNs
·
Weisfeiler-Lehman Graph Kernels
·
How Powerful are Graph Neural
Networks?
·
[optional]
A
Reduction of a Graph to a Canonical Form and an Algebra arising during this
Reduction
·
[reference]
Theory of Graph Neural
Networks: Representation and Learning
|
|
Fri Oct 24
|
Team 3
|
Stability and Counting in
GNNs
·
Tree Mover’s Distance:
Bridging Graph Metrics and Stability of Graph Neural Networks
·
Can Graph Neural Networks Count
Substructures?
|
|
Tue Oct 28
|
Team 4
|
Invariance and Equivariance
·
E(n) Equivariant Graph Neural Networks
·
Invariant and Equivariant Graph Networks
|
|
Fri Oct 31
|
Team 5
|
*-aware GNNs
·
Position-aware Graph Neural Networks
·
Identity-aware Graph Neural Networks
|
|
Tue Nov 4
|
Team 6
|
This and That
·
PRODIGY:
Enabling In-context Learning Over Graphs
·
Uncertainty
Quantification over Graph with Conformalized Graph
Neural Networks
·
REGE:
A Method for Incorporating Uncertainty in Graph Embeddings
|
|
Fri Nov 7
|
Guest Lecturer:
Germans Savcisens
|
ML for Computational Social Science
Using
Sequences of Life-events to Predict Human Lives
(Website: https://www.life2vec.dk)
|
|
Tue Nov 11
|
No class – Veterans Day
|
|
|
Fri Nov 14
|
Team 7
|
Explainability in GNNs
·
Explainability in Graph Neural
Networks: A Taxonomic Survey
·
GNNExplainer:
Generating Explanations for Graph Neural Networks
|
|
Tue Nov 18
|
Team 1
(Moderator: Samantha Dies)
|
Explainability and Trustworthiness of GNNs
·
GraphFramEx:
Towards Systematic Evaluation of Explainability Methods for Graph Neural
Networks
·
Trustworthy Graph Neural
Networks: Aspects, Methods and Trends
|
|
Fri Nov 21
|
Team 2
|
Fairness and Equality
·
FAIRGEN: Towards Fair Graph
Generation
·
Information
Access Equality on Generative Models of Complex Networks
|
|
Tue Nov 25
|
Team 3
|
Graph Transformers I
·
Graph Transformer Networks
·
A Generalization of Transformer
Networks to Graphs
·
Transformers
are Graph Neural Networks
·
[reference]
Graph Transformers: A Survey
|
|
Fri Nov 28
|
No
class – Thanksgiving break
|
|
Tue Dec 2
|
Team 4
|
Graph Transformers II
|
|
Fri Dec 5
|
Team 5
|
ML on Heterogeneous Graphs
·
Modeling Relational Data with
Graph Convolutional Networks
·
Heterogeneous Graph Transformer
|
|
Tue Dec 9
|
Team 6
(Moderator: Alesia Chernikova)
|
Circuit Tracing in Large Language Models
·
Circuit
Tracing: Revealing Computational Graphs in Language Models
·
Tracing
Attention Computation Through Feature Interactions
|
|
Fri Dec 12
|
Team 7
|
Recent Position Papers
·
Future Directions in the
Theory of Graph Machine Learning
·
Position: Graph Learning Will Lose
Relevance Due To Poor Benchmarks
·
Why We Must Rethink Empirical
Research in Machine Learning
|
|
Slides
for class projects are due at 11:59 PM Eastern.
Reports
on class projects are due at 11:59 PM Eastern.
|