1. Roughness of boundaries is a key issue to characterize tumors and cell aggregates. We can borrow ideas from
Simultaneous estimation of seabed and its roughness with longitudinal waves, B.M. Afkham, A. Carpio, submitted 2025
2. How do we select key genes or features in a process? Hierarchical topological clustering can help:
Hierarchical topological clustering, A. Carpio, G. Duro, Soft Computing, 2026, summary
Previous results
New efficient data-driven reduced order models for oscillatory dynamics, F Terragni, JM Vega, lournal of Computational Physics 533, 113997, 2025
Quantifying uncertainty in inverse scattering problems set in layered environments, C. Abugattas, A. Carpio, E. Cebrián, G. Oleaga, Applied Mathematics and Computation 500, 129453, 2025
Object based Bayesian full-waveform inversion for shear elastography, A. Carpio, E. Cebrián, A. Gutiérrez, Inverse Problems 39, 075007, 2023
Bayesian approach to inverse scattering with topological priors, A. Carpio, S. Iakunin, G. Stadler, Inverse Problems 36, 105001, 2020
