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math.OC2024
Constructive approximate transport maps with normalizing flows
Antonio Álvarez-López, Borjan Geshkovski, Domènec Ruiz-Balet
We study an approximate controllability problem for the continuity equation and its application to constructing transport maps with normalizing flows. Specifically, we construct ti…
math.OC2024
Interplay between depth and width for interpolation in neural ODEs
Antonio Álvarez-López, Arselane Hadj Slimane, Enrique Zuazua
Neural ordinary differential equations (neural ODEs) have emerged as a natural tool for supervised learning from a control perspective, yet a complete understanding of their optima…