_posts/2026-04-06-topology-tabular-anomalies

_bibliography/2026-04-06-topology-tabular-anomalies.bib

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+@inproceedings{han2022adbench,
+  title={{ADBench}: Anomaly Detection Benchmark},
+  author={Han, Songqiao and Hu, Xiyang and Huang, Hailiang and Jiang, Minqi and Zhao, Yue},
+  booktitle={Advances in Neural Information Processing Systems (NeurIPS)},
+  volume={35},
+  pages={32142--32159},
+  year={2022}
+}
+
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+  title={When is ``nearest neighbor'' meaningful?},
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+  pages={217--235},
+  year={1999},
+  publisher={Springer}
+}
+
+@inproceedings{liu2008isolation,
+  title={Isolation Forest},
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+  booktitle={IEEE International Conference on Data Mining (ICDM)},
+  pages={413--422},
+  year={2008},
+  organization={IEEE}
+}
+
+@article{liu2012isolation,
+  title={Isolation-based anomaly detection},
+  author={Liu, Fei Tony and Ting, Kai Ming and Zhou, Zhi-Hua},
+  journal={ACM Transactions on Knowledge Discovery from Data (TKDD)},
+  volume={6},
+  number={1},
+  pages={1--39},
+  year={2012}
+}
+
+@inproceedings{breunig2000lof,
+  title={{LOF}: Identifying density-based local outliers},
+  author={Breunig, Markus M and Kriegel, Hans-Peter and Ng, Raymond T and Sander, J{\"o}rg},
+  booktitle={ACM SIGMOD International Conference on Management of Data},
+  pages={93--104},
+  year={2000}
+}
+
+@article{li2022ecod,
+  title={{ECOD}: Unsupervised outlier detection using empirical cumulative distribution functions},
+  author={Li, Zheng and Zhao, Yue and Hu, Xiyang and Botta, Nicola and Ionescu, Cezar and Chen, George},
+  journal={IEEE Transactions on Knowledge and Data Engineering},
+  year={2022},
+  publisher={IEEE}
+}
+
+@article{edelsbrunner2002topological,
+  title={Topological persistence and simplification},
+  author={Edelsbrunner, Herbert and Letscher, David and Zomorodian, Afra},
+  journal={Discrete \& Computational Geometry},
+  volume={28},
+  number={4},
+  pages={511--533},
+  year={2002},
+  publisher={Springer}
+}
+
+@article{carlsson2009topology,
+  title={Topology and data},
+  author={Carlsson, Gunnar},
+  journal={Bulletin of the American Mathematical Society},
+  volume={46},
+  number={2},
+  pages={255--308},
+  year={2009}
+}
+
+@article{chazal2021introduction,
+  title={An introduction to topological data analysis: fundamental and practical aspects for data scientists},
+  author={Chazal, Fr{\'e}d{\'e}ric and Michel, Bertrand},
+  journal={Frontiers in Artificial Intelligence},
+  volume={4},
+  pages={667963},
+  year={2021},
+  publisher={Frontiers}
+}
+
+@article{hensel2021survey,
+  title={A survey of topological machine learning methods},
+  author={Hensel, Felix and Moor, Michael and Rieck, Bastian},
+  journal={Frontiers in Artificial Intelligence},
+  volume={4},
+  pages={681108},
+  year={2021}
+}
+
+@article{grinsztajn2022tree,
+  title={Why do tree-based models still outperform deep learning on typical tabular data?},
+  author={Grinsztajn, L{\'e}o and Oyallon, Edouard and Varoquaux, Ga{\"e}l},
+  journal={Advances in Neural Information Processing Systems (NeurIPS)},
+  volume={35},
+  pages={507--520},
+  year={2022}
+}
+
+@article{zomorodian2005computing,
+  title={Computing persistent homology},
+  author={Zomorodian, Afra and Carlsson, Gunnar},
+  journal={Discrete \& Computational Geometry},
+  volume={33},
+  number={2},
+  pages={249--274},
+  year={2005}
+}
+
+@article{bauer2021ripser,
+  title={Ripser: efficient computation of {V}ietoris--{R}ips persistence barcodes},
+  author={Bauer, Ulrich},
+  journal={Journal of Applied and Computational Topology},
+  volume={5},
+  number={3},
+  pages={391--423},
+  year={2021}
+}
+
+@article{bruillard2016anomaly,
+  title={Anomaly Detection Using Persistent Homology},
+  author={Bruillard, Paul and Nowak, Kathleen and Purvine, Emilie},
+  booktitle={IEEE International Conference on Cybernetics (CYBCONF)},
+  year={2016},
+  organization={IEEE}
+}
+
+@article{chazal2024tada,
+  title={Topological Anomaly Detection in Multivariate Time Series},
+  author={Chazal, Fr{\'e}d{\'e}ric and Levrard, Cl{\'e}ment and Royer, Martin},
+  journal={arXiv preprint arXiv:2406.06168},
+  year={2024}
+}
+
+@inproceedings{wang2024phogad,
+  title={{PhoGAD}: Graph-based Anomaly Behavior Detection with Persistent Homology Optimization},
+  author={Wang, Xiao and others},
+  booktitle={ACM International Conference on Web Search and Data Mining (WSDM)},
+  year={2024}
+}
+
+@article{tralie2018ripser,
+  title={Ripser.py: A lean persistent homology library for Python},
+  author={Tralie, Christopher and Saul, Nathaniel and Bar-On, Rami},
+  journal={Journal of Open Source Software},
+  volume={3},
+  number={29},
+  pages={925},
+  year={2018}
+}
+
+@inproceedings{anai2020dtm,
+  title={DTM-based filtrations},
+  author={Anai, Hirokazu and Chazal, Fr{\'e}d{\'e}ric and Glisse, Marc and Ike, Yuichi and Inakoshi, Hiroya and Tinarrage, Rapha{\"e}l and Umeda, Yuhei},
+  booktitle={Topological Data Analysis, The Abel Symposium},
+  pages={33--66},
+  year={2020},
+  publisher={Springer}
+}

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