3 citations · 7 across the 14 of their papers we have counts for
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math.OC2020
Mean-Field and Kinetic Descriptions of Neural Differential Equations
M. Herty, T. Trimborn, G. Visconti
Nowadays, neural networks are widely used in many applications as artificial intelligence models for learning tasks. Since typically neural networks process a very large amount of…
math.OC2019
Recent developments in controlled crowd dynamics
M. K. Banda, M. Herty, T. Trimborn
We survey recent results on controlled particle systems. The control aspect introduces new challenges in the discussion of properties and suitable mean field limits. Some of the as…
math.OC2019
Microscopic Derivation of Mean Field Game Models
Martin Frank, Michael Herty, Torsten Trimborn
Mean field game theory studies the behavior of a large number of interacting individuals in a game theoretic setting and has received a lot of attention in the past decade (Lasry a…