Title
Liquid Time-constant Recurrent Neural Networks as Universal Approximators.
Abstract
In this paper, we introduce the notion of liquid time-constant (LTC) recurrent neural networks (RNN)s, a subclass of continuous-time RNNs, with varying neuronal time-constant realized by their nonlinear synaptic transmission model. This feature is inspired by the communication principles in the nervous system of small species. It enables the model to approximate continuous mapping with a small number of computational units. We show that any finite trajectory of an $n$-dimensional continuous dynamical system can be approximated by the internal state of the hidden units and $n$ output units of an LTC network. Here, we also theoretically find bounds on their neuronal states and varying time-constant.
Year
Venue
DocType
2018
arXiv: Learning
Journal
Volume
Citations 
PageRank 
abs/1811.00321
0
0.34
References 
Authors
0
5
Name
Order
Citations
PageRank
Ramin M. Hasani11410.88
Mathias Lechner201.69
Alexander Amini35410.54
Daniela Rus47128657.33
Radu Grosu5101197.48