Interpretable Meta-Learning of Physical Systems

Fuente: arXiv
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Autores principales: Blanke, Matthieu, Lelarge, Marc
Formato: Preprint
Publicado: 2023
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author Blanke, Matthieu
Lelarge, Marc
author_facet Blanke, Matthieu
Lelarge, Marc
contents Machine learning methods can be a valuable aid in the scientific process, but they need to face challenging settings where data come from inhomogeneous experimental conditions. Recent meta-learning methods have made significant progress in multi-task learning, but they rely on black-box neural networks, resulting in high computational costs and limited interpretability. Leveraging the structure of the learning problem, we argue that multi-environment generalization can be achieved using a simpler learning model, with an affine structure with respect to the learning task. Crucially, we prove that this architecture can identify the physical parameters of the system, enabling interpreable learning. We demonstrate the competitive generalization performance and the low computational cost of our method by comparing it to state-of-the-art algorithms on physical systems, ranging from toy models to complex, non-analytical systems. The interpretability of our method is illustrated with original applications to physical-parameter-induced adaptation and to adaptive control.
format Preprint
id arxiv_https___arxiv_org_abs_2312_00477
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Interpretable Meta-Learning of Physical Systems
Blanke, Matthieu
Lelarge, Marc
Machine Learning
Machine learning methods can be a valuable aid in the scientific process, but they need to face challenging settings where data come from inhomogeneous experimental conditions. Recent meta-learning methods have made significant progress in multi-task learning, but they rely on black-box neural networks, resulting in high computational costs and limited interpretability. Leveraging the structure of the learning problem, we argue that multi-environment generalization can be achieved using a simpler learning model, with an affine structure with respect to the learning task. Crucially, we prove that this architecture can identify the physical parameters of the system, enabling interpreable learning. We demonstrate the competitive generalization performance and the low computational cost of our method by comparing it to state-of-the-art algorithms on physical systems, ranging from toy models to complex, non-analytical systems. The interpretability of our method is illustrated with original applications to physical-parameter-induced adaptation and to adaptive control.
title Interpretable Meta-Learning of Physical Systems
topic Machine Learning
url https://arxiv.org/abs/2312.00477