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arXiv 2109.10596cs.LG
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Fully probabilistic design for knowledge fusion between Bayesian filters under uniform disturbances

Czech Academy of Sciences, Institute of Information Theory and Automation(捷克科学院信息理论与自动化研究所);Trinity College Dublin, the University of Dublin(都柏林大学三一学院)

Lenka Kuklišová Pavelková, Ladislav Jirsa, Anthony Quinn

英文摘要:

This paper considers the problem of Bayesian transfer learning-based knowledge fusion between linear state-space processes driven by uniform state and observation noise processes. The target task conditions on probabilistic state predictor(s) supplied by the source filtering task(s) to improve its own state estimate. A joint model of the target and source(s) is not required and is not elicited. The resulting decision-making problem for choosing the optimal conditional target filtering distribution under incomplete modelling is solved via fully probabilistic design (FPD), i.e. via appropriate minimization of Kullback-Leibler divergence (KLD). The resulting FPD-optimal target learner is robust, in the sense that it can reject poor-quality source knowledge. In addition, the fact that this Bayesian transfer learning (BTL) scheme does not depend on a model of interaction between the source and target tasks ensures robustness to the misspecification of such a model. The latter is a problem that affects conventional transfer learning methods. The properties of the proposed BTL scheme are demonstrated via extensive simulations, and in comparison with two contemporary alternatives.

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