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mhajij committed Jun 3, 2024
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Expand Up @@ -158,7 +158,7 @@ We list the neural networks trained and evaluated by `TopoBenchmarkX`, organized
| --- | --- |
| CAN | [Cell Attention Network](https://arxiv.org/pdf/2209.08179) |
| CCCN | [A learning algorithm for computational connected cellular network](https://ieeexplore.ieee.org/document/1202221) |
| CCXN | [Cell Complex Neural Networks](https://openreview.net/pdf?id=6Tq18ySFpGU) |
| CXN | [Cell Complex Neural Networks](https://openreview.net/pdf?id=6Tq18ySFpGU) |
| CWN | [Weisfeiler and Lehman Go Cellular: CW Networks](https://arxiv.org/pdf/2106.12575) |

### Hypergraphs
Expand All @@ -183,7 +183,7 @@ We list the liftings used in `TopoBenchmarkX` to transform datasets. Here, a _li
### Graph2Cell
| Name | Description | Reference |
| --- | --- | --- |
| CellCycleLifting |To lift a graph to a cell complex (CC) we proceed as follows. First, we identify a finite set of cycles (closed loops) within the graph. Second, each identified cycle in the graph is associated to a 2-cell, such that the boundary of the 2-cell is the cycle. The nodes and edges of the cell complex are inherited from the graph. | [CW Complexes](https://en.wikipedia.org/wiki/CW_complex) |
| CellCycleLifting |To lift a graph to a cell complex (CC) we proceed as follows. First, we identify a finite set of cycles (closed loops) within the graph. Second, each identified cycle in the graph is associated to a 2-cell, such that the boundary of the 2-cell is the cycle. The nodes and edges of the cell complex are inherited from the graph. | [Appendix B](https://arxiv.org/abs/2206.00606) |

### Graph2Hypergraph
| Name | Description | Reference |
Expand Down Expand Up @@ -265,5 +265,56 @@ To learn more about `TopoBenchmarkX`, we invite you to read the paper:
archivePrefix={arXiv},
primaryClass={cs.LG}
}
@misc{topox,
title={Topo{X}: a suite of {P}ython packages for machine learning on topological domains},
author={Mustafa Hajij
and Mathilde Papillon
and Florian Frantzen
and Jens Agerberg
and Ibrahem AlJabea
and Ruben Ballester
and Claudio Battiloro
and Guillermo Bern{\'a}rdez
and Tolga Birdal
and Aiden Brent
and Peter Chin
and Sergio Escalera
and Simone Fiorellino
and Odin Hoff Gardaa
and Gurusankar Gopalakrishnan
and Devendra Govil
and Josef Hoppe
and Maneel Reddy Karri
and Jude Khouja
and Manuel Lecha
and Neal Livesay
and Jan Mei{\ss}ner
and Soham Mukherjee
and Alexander Nikitin
and Theodore Papamarkou
and Jaro Pr{\'i}lepok
and Karthikeyan
Natesan Ramamurthy
and Paul Rosen
and Aldo Guzm{\'a}n-S{\'a}enz
and Alessandro Salatiello
and Shreyas N. Samaga
and Simone Scardapane
and Michael T. Schaub
and Luca Scofano
and Indro Spinelli
and Lev Telyatnikov
and Quang Truong
and Robin Walters
and Maosheng Yang
and Olga Zaghen
and Ghada Zamzmi
and Ali Zia
and Nina Miolane},
journal={arXiv},
year={2024}
}
```
If you find `TopoBenchmarkX` useful, we appreciate if you cite it!

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