[GNN] Hyperbolic Neural Networks - Part 1 : Hyperbolic Geometry and Generalization of Euclidean Operations in Hyperbolic Space

Outlines Reference 1. Limitations of Euclidean Space to Represent the Hierarchical Data 2. Hyperbolic Geometry...

2023, Oct 13   —  11 minute read

[Differential Geometry] Möbius Transformation on Poincaré Disk

Outline Möbius Transformation for Riemannian Sphere Mapping Cross-Ratio Normal Form Möbius Addition and Scalar Multiplication...

2023, Oct 12   —  1 minute read

[MIT RES 18-009] Notes on Learn Differential Equations

Notes 01. First Order Equation - Responses to Inputs 02. Step Functions - Delta Functions...

2023, Oct 05   —  1 minute read

[Differential Geometry] Basic Concepts on Differential Geometry

Notes 01. Introduction 02. Manifold, Tensor, Riemannian Metric 03. Connection and Geodesics 04. Levi-Civita Connection,...

2023, Oct 03   —  1 minute read

[Paper Review] Visualizing Data using t-Stochastic Nearest Neighbor (t-SNE) (t-SNE, 2008)

Outlines Reference 1. t-SNE : Dimensionality Reduction for Visualization 2. Stochastic Neighborhood Embedding (SNE) 2.1....

2023, Aug 24   —  10 minute read

[Paper Review] Summaries on a Collection of Papers on Graph Neural Networks (GraphSAGE, GAT, NRI, Neural ODE, CGNN, SGC, GRAND, GGNN, GRAFF)

Papers Summary : GraphSAGE Paper : Inductive Representation Learning on Large Graphs, Hamilton et al,...

2023, Aug 16   —  1 minute read

[Linear Algebra] Summary of Basic & Fundamental Concepts on Linear Algebra

Summary Notes

2023, Aug 02   —  1 minute read

[Paper Review] Structural Deep Network Embedding (SDNE, 2016)

Outlines Reference Graph Embedding 1. Challenges for Learning Network Embeddings 2. Framework of SDNE 2.1....

2023, Jul 28   —  5 minute read

[Paper Review & Partial Implementation] Random Walks Based Graph Embeddings : DeepWalk, Node2Vec

Outlines Reference Graph Embedding 1. DeepWalk 1.1. Algorithms for DeepWalk 1.2. PyTorch Implementation for DeepWalk...

2023, Jul 23   —  12 minute read

[GNN] Graph Convolutional Networks (GCNs) - Part 2 : Towards Spatial Graph Convolution (ChebNet, GCN)

Outlines Reference 1. Spectral Convolution 2. ChebNet : Re-Formulation of Spectral Filtering with K-Hops Localized...

2023, Jul 18   —  9 minute read