@article{ART003139176},
author={Ho-Sik Seok},
title={A Review of Topological Deep Learning Focused on Simplicial Complex and Cell Complex},
journal={Journal of The Korea Society of Computer and Information},
issn={1598-849X},
year={2024},
volume={29},
number={11},
pages={97-105},
doi={10.9708/jksci.2024.29.11.097}
TY - JOUR
AU - Ho-Sik Seok
TI - A Review of Topological Deep Learning Focused on Simplicial Complex and Cell Complex
JO - Journal of The Korea Society of Computer and Information
PY - 2024
VL - 29
IS - 11
PB - The Korean Society Of Computer And Information
SP - 97
EP - 105
SN - 1598-849X
AB - Lots of tasks including physical systems modeling, chemical reaction prediction, and relation extraction require dealing with higher-order relations. Graph neural networks (GNNs) are favorite models for relational data but they have inherent limits due to their focus on pairwise relationships. Topological data analysis (TDA) provides insight into the "shape" of data (or underlying data topology). TDA aims to infer information about data manifold such as connectivity and offers higher-dimensional analog of graphs. Topological deep learning (TDL) combines various deep learning techniques with TDA. TDL enables us to formulate simplicial complex and cell complex through techniques such as low-dimensional embedding and attention. In this paper, we summarize recent achievements especially on simplicial complex and cell complex. We also provide succinct descriptions of related concepts.
KW - TDL(Topological Deep Learning);TDA(Topological Data Analysis);Simplicial complex;Cell complex;Computational topology
DO - 10.9708/jksci.2024.29.11.097
ER -
Ho-Sik Seok. (2024). A Review of Topological Deep Learning Focused on Simplicial Complex and Cell Complex. Journal of The Korea Society of Computer and Information, 29(11), 97-105.
Ho-Sik Seok. 2024, "A Review of Topological Deep Learning Focused on Simplicial Complex and Cell Complex", Journal of The Korea Society of Computer and Information, vol.29, no.11 pp.97-105. Available from: doi:10.9708/jksci.2024.29.11.097
Ho-Sik Seok "A Review of Topological Deep Learning Focused on Simplicial Complex and Cell Complex" Journal of The Korea Society of Computer and Information 29.11 pp.97-105 (2024) : 97.
Ho-Sik Seok. A Review of Topological Deep Learning Focused on Simplicial Complex and Cell Complex. 2024; 29(11), 97-105. Available from: doi:10.9708/jksci.2024.29.11.097
Ho-Sik Seok. "A Review of Topological Deep Learning Focused on Simplicial Complex and Cell Complex" Journal of The Korea Society of Computer and Information 29, no.11 (2024) : 97-105.doi: 10.9708/jksci.2024.29.11.097
Ho-Sik Seok. A Review of Topological Deep Learning Focused on Simplicial Complex and Cell Complex. Journal of The Korea Society of Computer and Information, 29(11), 97-105. doi: 10.9708/jksci.2024.29.11.097
Ho-Sik Seok. A Review of Topological Deep Learning Focused on Simplicial Complex and Cell Complex. Journal of The Korea Society of Computer and Information. 2024; 29(11) 97-105. doi: 10.9708/jksci.2024.29.11.097
Ho-Sik Seok. A Review of Topological Deep Learning Focused on Simplicial Complex and Cell Complex. 2024; 29(11), 97-105. Available from: doi:10.9708/jksci.2024.29.11.097
Ho-Sik Seok. "A Review of Topological Deep Learning Focused on Simplicial Complex and Cell Complex" Journal of The Korea Society of Computer and Information 29, no.11 (2024) : 97-105.doi: 10.9708/jksci.2024.29.11.097
