---
_id: '6012'
abstract:
- lang: eng
text: We present an approach to identify concise equations from data using a shallow
neural network approach. In contrast to ordinary black-box regression, this approach
allows understanding functional relations and generalizing them from observed
data to unseen parts of the parameter space. We show how to extend the class of
learnable equations for a recently proposed equation learning network to include
divisions, and we improve the learning and model selection strategy to be useful
for challenging real-world data. For systems governed by analytical expressions,
our method can in many cases identify the true underlying equation and extrapolate
to unseen domains. We demonstrate its effectiveness by experiments on a cart-pendulum
system, where only 2 random rollouts are required to learn the forward dynamics
and successfully achieve the swing-up task.
article_processing_charge: No
author:
- first_name: Subham
full_name: Sahoo, Subham
last_name: Sahoo
- first_name: Christoph
full_name: Lampert, Christoph
id: 40C20FD2-F248-11E8-B48F-1D18A9856A87
last_name: Lampert
orcid: 0000-0001-8622-7887
- first_name: Georg S
full_name: Martius, Georg S
id: 3A276B68-F248-11E8-B48F-1D18A9856A87
last_name: Martius
citation:
ama: 'Sahoo S, Lampert C, Martius GS. Learning equations for extrapolation and control.
In: Proceedings of the 35th International Conference on Machine Learning.
Vol 80. ML Research Press; 2018:4442-4450.'
apa: 'Sahoo, S., Lampert, C., & Martius, G. S. (2018). Learning equations for
extrapolation and control. In Proceedings of the 35th International Conference
on Machine Learning (Vol. 80, pp. 4442–4450). Stockholm, Sweden: ML Research
Press.'
chicago: Sahoo, Subham, Christoph Lampert, and Georg S Martius. “Learning Equations
for Extrapolation and Control.” In Proceedings of the 35th International Conference
on Machine Learning, 80:4442–50. ML Research Press, 2018.
ieee: S. Sahoo, C. Lampert, and G. S. Martius, “Learning equations for extrapolation
and control,” in Proceedings of the 35th International Conference on Machine
Learning, Stockholm, Sweden, 2018, vol. 80, pp. 4442–4450.
ista: 'Sahoo S, Lampert C, Martius GS. 2018. Learning equations for extrapolation
and control. Proceedings of the 35th International Conference on Machine Learning.
ICML: International Conference on Machine Learning vol. 80, 4442–4450.'
mla: Sahoo, Subham, et al. “Learning Equations for Extrapolation and Control.” Proceedings
of the 35th International Conference on Machine Learning, vol. 80, ML Research
Press, 2018, pp. 4442–50.
short: S. Sahoo, C. Lampert, G.S. Martius, in:, Proceedings of the 35th International
Conference on Machine Learning, ML Research Press, 2018, pp. 4442–4450.
conference:
end_date: 2018-07-15
location: Stockholm, Sweden
name: 'ICML: International Conference on Machine Learning'
start_date: 2018-07-10
date_created: 2019-02-14T15:21:07Z
date_published: 2018-02-01T00:00:00Z
date_updated: 2023-10-17T09:50:53Z
day: '01'
department:
- _id: ChLa
ec_funded: 1
external_id:
arxiv:
- '1806.07259'
isi:
- '000683379204058'
intvolume: ' 80'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1806.07259
month: '02'
oa: 1
oa_version: Preprint
page: 4442-4450
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '291734'
name: International IST Postdoc Fellowship Programme
publication: Proceedings of the 35th International Conference on Machine Learning
publication_status: published
publisher: ML Research Press
quality_controlled: '1'
related_material:
link:
- description: News on IST Homepage
relation: press_release
url: https://ist.ac.at/en/news/first-machine-learning-method-capable-of-accurate-extrapolation/
scopus_import: '1'
status: public
title: Learning equations for extrapolation and control
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 80
year: '2018'
...