Carlo Marcati

Assistant Professor, University of Pavia

Joined

September 2024

Names

Carlo Marcati (Preferred)

Emails

****@unipv.it (Confirmed)

Personal Links

Career & Education History

Assistant Professor

University of Pavia (unipv.it)

2022 – Present

Postdoc

ETHZ - ETH Zurich (ethz.ch)

2018 – 2021

PhD student

Sorbonne Université - Faculté des Sciences (Paris VI) (sorbonne-universite.fr)

2013 – 2018

Advisors, Relations & Conflicts

No relations added

Expertise

Scientific Machine Learning

2019 – Present

Elliptic PDEs

2013 – Present

Finite Elements

2013 – Present

Publications

Expression Rates of Neural Operators for Linear Elliptic PDEs in Polytopes
Carlo Marcati, Christoph Schwab
- CoRR 2024
- Readers: Everyone
Analytic Regularity of Solutions to the Navier-Stokes Equations with Mixed Boundary Conditions in Polygons
Yanchen He, Carlo Marcati, Christoph Schwab
- SIAM J. Math. Anal. 2024
- Readers: Everyone
Exponential Convergence of \(hp\)-FEM for the Integral Fractional Laplacian in Polygons
Markus Faustmann, Carlo Marcati, Jens Markus Melenk, Christoph Schwab
- SIAM J. Numer. Anal. 2023
- Readers: Everyone
Exponential Convergence of Deep Operator Networks for Elliptic Partial Differential Equations
Carlo Marcati, Christoph Schwab
- SIAM J. Numer. Anal. 2023
- Readers: Everyone
Exponential ReLU Neural Network Approximation Rates for Point and Edge Singularities
Carlo Marcati, Joost A. A. Opschoor, Philipp Christian Petersen, Christoph Schwab
- Found. Comput. Math. 2023
- Readers: Everyone
Weighted analytic regularity for the integral fractional Laplacian in polyhedra
Markus Faustmann, Carlo Marcati, Jens Markus Melenk, Christoph Schwab
- CoRR 2023
- Readers: Everyone
Exponential Convergence of hp FEM for the Integral Fractional Laplacian in Polygons
Markus Faustmann, Carlo Marcati, Jens Markus Melenk, Christoph Schwab
- CoRR 2022
- Readers: Everyone
Exponential convergence of hp-FEM for the integral fractional Laplacian in 1D
Markus Faustmann, Carlo Marcati, Jens Markus Melenk, Christoph Schwab
- CoRR 2022
- Readers: Everyone
Tensor rank bounds for point singularities in ℝ3
Carlo Marcati, Maksim Rakhuba, Christoph Schwab
- Published: 01 Jan 2022, Last Modified: 12 May 2023
- Adv. Comput. Math. 2022
- Readers: Everyone
Weighted analytic regularity for the integral fractional Laplacian in polygons
Markus Faustmann, Carlo Marcati, Jens Markus Melenk, Christoph Schwab
- CoRR 2021
- Readers: Everyone

View all 20 publications

Co-Authors