Papers

• 2025

  • F. Pagginelli, F. Krahmer, P. Catala. Stable Retrieval for Unlimited Sampling via Adaptive Local Representations, 2025 IEEE Statistical Signal Processing. [doi]

• 2024

  • F. Pagginelli, P. Catala, F. Krahmer. Noisy Recovery in Unlimited Sampling via Adaptive Modulo Representations, 2024 CoSeRa Workshop. [doi]

  • P. Catala, M. Hockmann, S. Kunis, M. Wageringel. Approximation and Interpolation of Singular Measures by Trigonometric Polynomials, Constructive Approximation, 60:405-442. [doi] [pdf]

• 2022

  • P.Catala, M. Hockmann, S. Kunis. Sparse Super-Resolution and its Trigonometric Approximation in the p-Wasserstein Distance. Proc. Appl. Math. Mech., 22:e202200125 [doi] [pdf]

• 2019

  • P. Catala, V. Duval, G. Peyré. Wasserstein Group-Lasso sans Grille. GRETSI, 2019 [pdf] [slides]

  • P. Catala, V. Duval, G. Peyré. A Low-Rank Approach to Off-the-Grid Sparse Super-Resolution. SIAM J. Imaging. Sc. [pdf] [code]

PhD Thesis

Positive Semidefinite Relaxations for Imaging Science, 2020 [manuscript]

Selected Talks

• An Approximate Joint Diagonalization Algorithm for Off-the-Grid Sparse and Non-Sparse Recovery. GAMM, 2022 [slides]

• Approximating Singular Measures on the Torus with Moment Polynomials. Curves and Surfaces, 2022 [slides]

• Towards a FFT for Measures. OTML Workshop, NeurIPS, 2021

• Off-the-Grid Wasserstein Group Lasso. FGS, 2019. [pdf] [slides]

• A Low-Rank Approach to Off-the-Grid Sparse Super-Resolution. ITWIST, 2018. [pdf] [slides]