Sparsity in long-time control of neural ODEs

• Published in: Systems & control letters Vol. 172; p. 105452
• Main Authors: Esteve-Yagüe, Carlos, Geshkovski, Borjan
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.02.2023
• Subjects: Learning; Neural ODEs; Optimal Control; Sparsity; Neural ODEs; Learning; Sparsity; Optimal Control

We consider the neural ODE and optimal control perspective of supervised learning, with ℓ1-control penalties, where rather than only minimizing a final cost (the empirical risk) for the state, we integrate this cost over the entire time horizon. We prove that any optimal control (for this cost) vani...