2 papers
math.DS2026
Universal Approximation Constraints of Narrow ResNets: The Tunnel Effect
Christian Kuehn, Sara-Viola Kuntz, Tobias Wöhrer
We analyze the universal approximation constraints of narrow Residual Neural Networks (ResNets) both theoretically and numerically. For deep neural networks without input space aug…
math.DS2025
The Influence of the Memory Capacity of Neural DDEs on the Universal Approximation Property
Christian Kuehn, Sara-Viola Kuntz
Neural Ordinary Differential Equations (Neural ODEs), which are the continuous-time analog of Residual Neural Networks (ResNets), have gained significant attention in recent years.…