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Georg Martius (Project leader)
Max Planck Research Group Leader
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Michal Rolinek
Postdoctoral Researcher
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Jia-Jie Zhu
Postdoctoral Researcher
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Subham S. Sahoo
Indian Institute of Technology, Kharagpur, India
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Christoph H. Lampert
IST Austria
1 result

2018


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Learning equations for extrapolation and control

Sahoo, S. S., Lampert, C. H., Martius, G.

In Proc. 35th International Conference on Machine Learning, ICML 2018, Stockholm, Sweden, 2018, 80, pages: 4442-4450, http://proceedings.mlr.press/v80/sahoo18a/sahoo18a.pdf, (Editors: Dy, Jennifer and Krause, Andreas), PMLR, 2018 (inproceedings)

Abstract
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.

Code Arxiv Poster Slides link (url) Project Page [BibTex]

2018

Code Arxiv Poster Slides link (url) Project Page [BibTex]