Publications
You can also find my articles on my Google Scholar profile.
2025
Linear Spherical Sliced Optimal Transport: A Fast Metric for Comparing Spherical Data
Xinran Liu, Yikun Bai, Rocío Díaz Martín, Kaiwen Shi, Ashkan Shahbazi, Bennett A. Landman, Catie Chang, Soheil Kolouri.
ICLR, 2025.
Partial Gromov-Wasserstein Metric
Yikun Bai, Rocío Díaz Martín, Abihith Kothapalli, Hengrong Du, Xinran Liu, Soheil Kolouri.
ICLR, 2025.
Linear Partial Gromov-Wasserstein Embedding
Yikun Bai, Abihith Kothapalli, Hengrong Du, Rocío Díaz Martín, Soheil Kolouri.
ICLR, 2025.
Expected Sliced Transport Plans
Xinran Liu, Rocío Díaz Martín, Yikun Bai, Ashkan Shahbazi, Matthew Thorpe, Akram Aldroubi, Soheil Kolouri.
ICLR, 2025.
2024
Dynamical sampling for the recovery of spatially constant source terms in dynamical systems
Akram Aldroubi, Rocío Díaz Martín, Ivan Medri.
Journal of Linear Algebra and Applications, 696: 148-185, 2024.
Stereographic Spherical Sliced Wasserstein Distances
Huy Tran, Yikun Bai, Abihith Kothapalli, Ashkan Shahbazi, Xinran Liu, Rocío Díaz Martín, Soheil Kolouri.
ICML, 2024.
LCOT: Linear Circular Optimal Transport Embedding
Rocío Díaz Martín, Yikun Bai, Ivan Medri, Xinran Liu, Kangbai Yan, Gustavo K. Rohde, Soheil Kolouri.
ICLR, 2024.
Data representation with optimal transport
Rocío Díaz Martín, Ivan Medri, Gustavo K. Rohde.
Accepted for publication in the ANHA volume in honor of Akram Aldroubi’s 65th birthday.
2023
Dynamical dual frames, annihilating polynomials, and spectral radius
Jonathan Ashbrock, Rocío Díaz Martín, Brody Johnson, Ivan Medri, and Alexander Powell.
Poincare Journal of Analysis and Applications, 10(2): 27-53, 2023.
Linear Optimal Partial Transport Embedding
Yikun Bai, Ivan Medri, Rocío Díaz Martín, Rana Muhammad Shahroz Khan, and Soheil Kolouri.
ICML, 2023.
Error analysis on the initial state reconstruction problem
Rocío Díaz Martín, Ivan Medri, and Juliana Osorio.
Sampling Theory, Signal Processing, and Data Analysis. 21: 18, 2023.
2022
The Signed Cumulative Distribution Transform for 1-D signal analysis and classification
Akram Aldroubi, Rocío Díaz Martín, Ivan Medri, Gustavo K. Rohde, Sumati Thareja.
Foundations of Data Science, AIMS, 4(1): 137-163, 2022.
2021
Continuous and discrete dynamical sampling
Rocío Díaz Martín, Ivan Medri, Ursula Molter.
Journal of Mathematical Analysis and Applications, 449(2): 125060, 2021.
Dynamical sampling: a view from control theory
Rocío Díaz Martín, Ivan Medri, Ursula Molter.
ANHA, Chapter 15, 2021.
On commutative homogeneous vector bundles attached to nilmanifolds
Rocío Díaz Martín, Linda V. Saal.
Revista de la Unión Matemática Argentina, 62(1): 141-151, 2021.
2020
Mehler-Heine formula: a generalization in the context of matrix spherical functions
Rocío Díaz Martín, Inés Pacharoni.
Journal of Lie Theory, 30(1): 41-57, 2020.
2019
Matrix Spherical Analysis on Nilmanifolds
Rocío Díaz Martín, Linda V. Saal.
Transformation Groups, 24(3): 887-911, 2019.
2018
Spherical analysis on homogeneous vector bundles of the 3-dimensional Euclidean Motion Group
Rocío Díaz Martín, Fernando Levstein.
Monatshefte für Mathematik, 185(4): 621–649, 2018.