Publications and Projects
Open Projects
The Stability of Max-Flow for Circular Reeb Graphs (with L. fajsturp, S. Oudot, M. Carriere) [In preparation]
A Stable Metric for Functional Summaries of Persistence Diagrams [In preparation]
Deciphering the Topological Structure of Glasses for Lithium Batteries using Reeb Graphs (with Y. Bokor Bleile, T. Heiss, A.M. Svane, L. Fajstrup, C.N. Biscio) [In preparation]
Sliced Max-Flow for Circular Mapper Graphs (with L. Fajstrup) [arXiv:2312.04357]
A Persistence-Driven Edit Distance for Graphs with Abstract Weights, [arXiv:2304.12088]
A Graph-Matching Formulation of the Interleaving Distance between Merge Trees, [arXiv:2111.15531]
Functional Data Representation with Merge Trees (with P. Secchi), [arXiv:2108.13147 ]
A Finitely Stable Edit distance for Merge Trees, [arXiv:2111.02738]
A Finitely Stable Edit distance for Functions Defined on Merge Trees, [arXiv:2108.13108 ]
Publications on Journals
Persistence Diagrams for exploring the shape variability of abdominal aortic aneurysms (with D. A. Domanin, S. Trimarchi, M. Domanin and P. Secchi), (2024), Scientific Reports, 14, 28132 [link, arXiv:2402.07966]
Wasserstein Distributional Data Analysis on the Circle (with M. Beraha), Statistics and Computing [link, arXiv:2304.02402]
Imaging-based representation and stratification of intra-tumor Heterogeneity via tree-edit distance (with L. Cavinato, A. Ragni and F. Ieva), (2022) Scientific Reports, 12 (1), (22540) [link, arXiv:2208.04829]
Projected Statistical Methods for Distributional Data on the Real Line with the Wasserstein Metric (with M. Beraha ), (2022) Journal of Machine Learning Research, 23 (37) [link, arXiv:2101.09039 ]
Spatially dependent mixture models via the Logistic Multivariate CAR prior (with M. Beraha, R. Peli and A. Guglielmi), (2021) Spatial Statistics, 46, Article 100548 [link, arXiv:2007.14961]
Conference Proceedings
Topological Data Analysis applied to radiomics (topiomics) data in Recurrent Prostate Cancer (with L. cavinato, L. Ferrara, P. A. Erba, M. Sollini, F. Ieva) [SIS 2024]
Functional Data Representation with Merge Trees (with P. Secchi), [ IFCS2021]
Fast PCA in 1-D Wasserstein spaces via B-splines representation and metric projection (with M. Beraha) [AAAI2021 ]
A transdimensional MCMC sampler for spatially dependent mixture models (with A. Guglielmi, M. Beraha, M. Giannella, R. Peli) [CLADAG 2021]
A Bayesian approach for modelling dependence among mixture densities (with M. Beraha, R. Peli and A. Guglielmi) [SIS 2020]
PhD Theses
Data Analysis with Merge Trees (2023, Università di Bologna, PhD Program:"Data Science and Computation")
Geometric Data Analysis, Between Equivalence Classes and non-Euclidean Spaces (2021, Politecnico di Milano, PhD Program:"Mathematical Models and Methods in Engineering")