Existence, Uniqueness, and Regularity of Optimal Transport Maps. - Alessio Figalli (SIAM J. Math. Anal., 2007)

Some New Well-Posedness Results for Continuity and Transport Equations, and Applications to the Chromatography System. - Luigi Ambrosio; Gianluca Crippa; Alessio Figalli; Laura V. Spinolo (SIAM J. Math. Anal., 2009)

When is multidimensional screening a convex program? - Alessio Figalli; Young-Heon Kim; Robert J. McCann (J. Econ. Theory, 2011)

Sobolev Regularity for Monge-Ampère Type Equations. - Guido De Philippis; Alessio Figalli (SIAM J. Math. Anal., 2013)

Lecture notes on variational models for incompressible Euler equations. - Luigi Ambrosio; Alessio Figalli (Optimal Transport, 2014)

On the Convexity of Injectivity Domains on Nonfocal Manifolds. - Alessio Figalli; Thomas O. Gallouët; Ludovic Rifford (SIAM J. Math. Anal., 2015)

A scale-dependent notion of effective dimension. - Oksana Berezniuk; Alessio Figalli; Raffaele Ghigliazza; Kharen Musaelian (CoRR, 2020)

Effective dimension of machine learning models. - Amira Abbas; David Sutter; Alessio Figalli; Stefan Woerner (CoRR, 2021)

The power of quantum neural networks. - Amira Abbas; David Sutter; Christa Zoufal; Aurélien Lucchi; Alessio Figalli; Stefan Woerner (Nat. Comput. Sci., 2021)

Infinite-width limit of deep linear neural networks. - Lénaïc Chizat; Maria Colombo; Xavier Fernández-Real; Alessio Figalli (CoRR, 2022)

A two-scale Complexity Measure for Deep Learning Models. - Massimiliano Datres; Gian Paolo Leonardi; Alessio Figalli; David Sutter (NeurIPS, 2024)

Global Sensitivity Analysis via Optimal Transport. - Emanuele Borgonovo; Alessio Figalli; Elmar Plischke; Giuseppe Savaré (Manag. Sci., 2025)