4 papers
On the stability of event-based control with neuronal dynamics
Luke Eilers, Jonas Stapmanns, Catarina Dias +1
Event-based control, unlike analogue control, poses significant analytical challenges due to its hybrid dynamics. This work investigates the stability and inter-event time properti…
Phase Transitions of the Additive Uniform Noise Channel with Peak Amplitude and Cost Constraint
Jonas Stapmanns, Catarina Dias, Luke Eilers +2
Under which condition is quantization optimal? We address this question in the context of the additive uniform noise channel under peak amplitude and cost constraints. We compute a…
A generalized neural tangent kernel for surrogate gradient learning
Luke Eilers, Raoul-Martin Memmesheimer, Sven Goedeke
State-of-the-art neural network training methods depend on the gradient of the network function. Therefore, they cannot be applied to networks whose activation functions do not hav…
Capacity-Achieving Input Distribution of the Additive Uniform Noise Channel With Peak Amplitude and Cost Constraint
Jonas Stapmanns, Catarina Dias, Luke Eilers +1
Under which condition is quantization optimal? We address this question in the context of the additive uniform noise channel under peak amplitude and power constraints. We compute…