Abstract
In this note, we present some key results complementing a previous manuscript (Hoffman et al., Ann. Math. Artif. Intell. 89(3-4), 237–270, 2021) dealing with the problem of multiple-source adaptation, a key learning problem in applications. In particular, we extend the theoretical results presented for the probability model to the case where estimated distributions are used, first by giving a guarantee that depends on the Rényi divergence of the target distribution and the family of mixtures of estimated distributions, next by generalizing that to a result that only depends on the Rényi divergence with respect to the family of mixtures of the exact source distributions.
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Hoffman, J., Mohri, M., Zhang, N.: Multiple-source adaptation theory and algorithms. Ann. Math. Artif. Intell. 89(3-4), 237–270 (2021)
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Hoffman, J., Mohri, M. & Zhang, N. Multiple-source adaptation theory and algorithms – addendum. Ann Math Artif Intell 90, 569–572 (2022). https://doi.org/10.1007/s10472-022-09791-5
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DOI: https://doi.org/10.1007/s10472-022-09791-5