Title
Data Selection for Multi-Task Learning Under Dynamic Constraints
Abstract
Learning-based techniques are increasingly effective at controlling complex systems. However, most work done so far has focused on learning control laws for individual tasks. Simultaneously learning multiple tasks on the same system is still a largely unaddressed research question. In particular, no efficient state space exploration schemes have been designed for multi-task control settings. Using this research gap as our main motivation, we present an algorithm that approximates the smallest data set that needs to be collected in order to achieve high performance across multiple control tasks. By describing system uncertainty using a probabilistic Gaussian process model, we are able to quantify the impact of potentially collected data on each learning-based control law. We then determine the optimal measurement locations by solving a stochastic optimization problem approximately. We show that, under reasonable assumptions, the approximate solution converges towards the exact one. Additionally, we provide a numerical illustration of the proposed algorithm.
Year
DOI
Venue
2021
10.1109/LCSYS.2020.3006279
IEEE Control Systems Letters
Keywords
DocType
Volume
Machine learning,information theory and control,stochastic optimal control,uncertain systems,identification
Journal
5
Issue
ISSN
Citations 
3
2475-1456
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Capone Alexandre100.68
Lederer, Armin202.03
Jonas Umlauft345.14
Sandra Hirche4961106.36