4 papers
Stability of input-output maps and their minimal realizations in state-linear, state-affine, LPV, and linear switched systems
Mihály Petreczky, Juan-Pablo Ortega, Florian Rossmannek +1
Stability is often assumed in learning and identification, yet it is rarely characterized directly from input--output data. We show that an input--output family admits a stable fin…
Echoes of the Past: A Unified Perspective on Fading memory and Echo States
Juan-Pablo Ortega, Florian Rossmannek
Recurrent neural networks (RNNs) have become increasingly popular in information processing tasks involving time series and temporal data. A fundamental property of RNNs is their a…
Stochastic dynamics learning with state-space systems
Juan-Pablo Ortega, Florian Rossmannek
This work advances the theoretical foundations of reservoir computing (RC) by providing a unified treatment of fading memory and the echo state property (ESP) in both deterministic…
Fading memory and the convolution theorem
Juan-Pablo Ortega, Florian Rossmannek
Several topological and analytical notions of continuity and fading memory for causal and time-invariant filters are introduced, and the relations between them are analyzed. A sign…