Efficient learning with privileged information in nonlinear time series
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Examensarbete för masterexamen
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Modellbyggare
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In domains where sample sizes are limited, efficient learning algorithms are critical.
Learning using privileged information (LuPI) offers increased sample efficiency by
allowing prediction models access to information at training time that is unavailable
when the models are used. In recent work, it was shown that for prediction in linear-
Gaussian dynamical systems, a LuPI learner with access to intermediate time series
data is never worse and often better in expectation than any unbiased classical
learner. We provide new insights into this analysis and generalize it to nonlinear
prediction tasks in latent dynamical systems, extending theoretical guarantees to the
case where the map connecting latent variables and observations is known up to a
linear transform. In addition, we propose algorithms based on random features and
representation learning for the case when this map is unknown. A suite of empirical
results confirm theoretical findings and show the potential of using privileged timeseries
information in nonlinear prediction.
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Machine Learning, Privileged Information, Time Series, Sample Efficiency, Latent Dynamical Systems