Journal Articles

• Reproducing Kernel Hilbert Spaces for Virtual Persistence Diagrams, Charles Fanning, Mehmet Emin Aktas, Journal of Applied and Computational Topology, 10, Article 22, 2026. DOI: 10.1007/s41468-026-00253-z. 

• Topological Graph Learning on Healthcare Networks for Critical Care Prediction , Charles Fanning, Asli Guler, Corey Verkouteren, Djalil Sawadogo, Mehmet Emin Aktas, Network Modeling Analysis in Health Informatics and Bioinformatics, Vol.~15, Article~152, 2026.

• Topology-Aware GNNs Under Structural Perturbations: Empirical Robustness Across Domains , Jelena Losic, Charles Fanning, PLOS Complex Systems, accepted, 2026.

CONFERENCE PAPERS

• LAI-Pool: Persistent Homology-Informed Graph Neural Networks for Predicting Mortality in ICU Patients, Charles Fanning, Corey Verkouteren, Djalil Sawadogo, Mehmet Emin Aktas, Proceedings of the 14th International Conference on Complex Networks and Their Applications, Lecture Notes in Computer Science, Springer, pp. 126--138, 2025.

• Cross-attentive Cohesive Subgraph Embedding to Mitigate Long-range Dependencies in GNNs , T. Hossain, M. I. K. Islam, L. Chebbah, Charles Fanning, E. Akbas, International Conference on Neural Information Processing (ICONIP), accepted for abstract presentation, 2026. arXiv:2603.27529.

PREPRINTS

• On the Spectral Synthesis of Lipschitz Persistence Diagram Vectorizations, Charles Fanning, Mehmet Emin Aktas. arXiv:2607.16957.

• Square Metric Spaces, Charles Fanning, Mehmet Aktas. arXiv:2606.08821.

• Higher-order Persistence Diagrams, Charles Fanning, Mehmet Aktas. arXiv:2605.09866, 2026.

• Random Walks on Virtual Persistence Diagrams, Charles Fanning, Mehmet Aktas. arXiv:2603.02117, 2026.

• Reproducing Kernel Hilbert Spaces on Banach Completions of Virtual Persistence Diagram Groups, Charles Fanning, Mehmet Emin Aktas. arXiv:2602.15153, 2026.

• Topological Conditioning for Mammography Models via a Stable Wavelet-Persistence Vectorization, Charles Fanning, Mehmet Emin Aktas. arXiv:2512.10151, 2025.