Lukas Gonon

Lukas Gonon

Former Member

Title

Dr.

Last Name

Gonon

First name

Lukas

Now showing 1 - 3 of 3

Approximation bounds for random neural networks and reservoir systems

(Institute of Mathematical Statistics, 2023-02)
Gonon, Lukas
;
Grigoryeva, Lyudmila
;
Ortega Lahuerta, Juan-Pablo

Journal: The Annals of Applied Probability

Volume: 33

Issue: 1

URL: https://doi.org/10.1214/22-AAP1806

URI: https://www.alexandria.unisg.ch/handle/20.500.14171/107767
Expressive Power of Randomized Signature

( 2021)
Cuchiero, Christa
;
Gonon, Lukas
;
Grigoryeva, Lyudmila
;
Ortega Lahuerta, Juan-Pablo
;
Teichmann, Josef

We consider the question whether the time evolution of controlled differential equations on general state spaces can be arbitrarily well approximated by (regularized) regressions on features generated themselves through randomly chosen dynamical systems of moderately high dimension. On the one hand this is motivated by paradigms of reservoir computing, on the other hand by ideas from rough path theory and compressed sensing. Appropriately interpreted this yields provable approximation and generalization results for generic dynamical systems by regressions on states of random, otherwise untrained dynamical systems, which usually are approximated by recurrent or LSTM networks. The results have important implications for transfer learning and energy efficiency of training.

Volume: NeurIPS 2021 Workshop DLDE

URL: https://openreview.net/forum?id=KWWFPULvmVw

URI: https://www.alexandria.unisg.ch/handle/20.500.14171/110897
Reservoir kernels and Volterra series

( 2022-12-30)
Gonon, Lukas
;
Grigoryeva, Lyudmila
;
Ortega Lahuerta, Juan-Pablo

Type: working paper

URI: https://www.alexandria.unisg.ch/handle/20.500.14171/107950

Lukas Gonon

Filters

Author

Keyword

Has files

Type

Settings

Sort By

Results per page

Options

Lukas Gonon

Filters

Author

Keyword

Has files

Type

Settings

Sort By

Results per page