57 citations · 413 across the 51 of their papers we have counts for
63 papers
Quantitative Convergence of Wasserstein Gradient Flows of Kernel Mean Discrepancies
Lénaïc Chizat, Maria Colombo, Roberto Colombo +1
We study the quantitative convergence of Wasserstein gradient flows of Kernel Mean Discrepancy (KMD) (also known as Maximum Mean Discrepancy (MMD)) functionals. Our setting covers…
Ole\uınik-type estimates for nonlocal conservation laws and applications to the nonlocal-to-local limit
Giuseppe Maria Coclite, Maria Colombo, Gianluca Crippa +5
We consider a class of nonlocal conservation laws with exponential kernel and prove that quantities involving the nonlocal term $W:=\mathbb{1}_{(-\infty,0]}(\cdot)\exp(\cdot) \ast…
Onsager critical solutions of the forced Navier-Stokes equations
Elia Bruè, Maria Colombo, Gianluca Crippa +2
We answer positively to [BDL22, Question 2.4] by building new examples of solutions to the forced 3d-Navier-Stokes equations with vanishing viscosity, which exhibit anomalous dissi…
Infinite-width limit of deep linear neural networks
Lénaïc Chizat, Maria Colombo, Xavier Fernández-Real +1
This paper studies the infinite-width limit of deep linear neural networks initialized with random parameters. We obtain that, when the number of neurons diverges, the training dyn…
Non-uniqueness of Leray solutions to the hypodissipative Navier-Stokes equations in two dimensions
Dallas Albritton, Maria Colombo
We exhibit non-unique Leray solutions of the forced Navier-Stokes equations with hypodissipation in two dimensions. Unlike the solutions constructed in \cite{albritton2021non}, the…
Gluing non-unique Navier-Stokes solutions
Dallas Albritton, Elia Bruè, Maria Colombo
We construct non-unique Leray solutions of the forced Navier-Stokes equations in bounded domains via gluing methods. This demonstrates a certain locality and robustness of the non-…