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math.OC2026
Exact ensemble controllability for neural differential equations via neural interpolation
Martin Gugat
We study a system that is governed by neural dynamics. Neural dynamics are a model for deep neural networks with a large number of layers. For a differential equation where the rig…
math.OC2024
A geometric integration approach to smooth optimisation: Foundations of the discrete gradient method
Matthias J. Ehrhardt, Erlend S. Riis, Torbjørn Ringholm +1
Discrete gradient methods are geometric integration techniques that can preserve the dissipative structure of gradient flows. Due to the monotonic decay of the function values, the…