Google Scholar DBLP ORCID
Preprints
- Y. Cao, A. Monod. Computing the Tropical Abel–Jacobi Transform and Tropical Distances for Metric Graphs. arXiv:2504.11619.
- P. Lezeau, T. Walker, Y. Cao, S. Bhatia, A. Monod. Tropical Expressivity of Neural Networks. arXiv:2405.20174.
- R. Talbut, D. Tramontano, Y. Cao, M. Drton, A. Monod. Probability Metrics for Tropical Spaces of Different Dimensions. arXiv:2307.02846.
- Y. Cao, A. Monod. Approximating Persistent Homology for Large Datasets. arXiv:2204.09155.
Selected Publications
- Y. Cao, A. Monod. A Geometric Condition for Uniqueness of Fréchet Means of Persistence Diagrams. Computational Geometry: Theory and Applications. 2025.
- Y. Cao, P. Leung, A. Monod. k-Means Clustering for Persistent Homology. Advances in Data Analysis and Classification. 2024.
- Y. Cao, A. Vlontzos, L. Schmidtke, B. Kainz, A. Monod. Topological Information Retrieval with Dilation-Invariant Bottleneck Comparative Measures. Information and Inference: A Journal of IMA. 2023.
- Y. Cao, D. Li, H. Sun, A. Assadi, S. Zhang. Efficient Weingarten Map and Curvature Estimation on Manifolds. Machine Learning. 2021.
- F. Sun, Y. Cao, S. Zhang, H. Sun. The Bayesian Inference of Pareto Models Based on Information Geometry. Entropy. 2021.
Talks & Posters
- Y. Cao. Generalized Multiple Subsampling for Persistent Homology, Applied Topology Seminar, Oxford, 2024. [Invited Talk]
- Y. Cao, A. Monod. Computational tropical Abel-Jacobi map for metric graphs, Applied Algebra and Geometry, 19th meeting, Edinburgh, Edinburgh, 2024. [Invited Talk]
- S. Bhatia, Y. Cao, P. Lezeau, A. Monod. A Tropical Geometric Perspective on Deep Learning, Geometric Deep Learning workshop, Cambridge, 2024. [Poster]
- Y. Cao, A. Monod. A Condition for the Uniqueness of Fréchet Means of Persistence Diagrams, Minisymposium on Applied Algebraic Topology: Theory and Implementation, SIAM Conference on Applied Algebraic Geometry, Eindhoven, 2023. [Invited Talk]
- Y. Cao, A. Monod. A Condition for the Uniqueness of Fréchet Means of Persistence Diagrams, Algebraic Topology: Methods, Computation and Science (ATMCS10), Oxford, 2022. [Poster]