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- W4322717963 abstract "We propose the use of U-statistics to reduce variance for gradient estimation in importance-weighted variational inference. The key observation is that, given a base gradient estimator that requires $m > 1$ samples and a total of $n > m$ samples to be used for estimation, lower variance is achieved by averaging the base estimator on overlapping batches of size $m$ than disjoint batches, as currently done. We use classical U-statistic theory to analyze the variance reduction, and propose novel approximations with theoretical guarantees to ensure computational efficiency. We find empirically that U-statistic variance reduction can lead to modest to significant improvements in inference performance on a range of models, with little computational cost." @default.
- W4322717963 created "2023-03-03" @default.
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- W4322717963 date "2023-02-27" @default.
- W4322717963 modified "2023-10-16" @default.
- W4322717963 title "U-Statistics for Importance-Weighted Variational Inference" @default.
- W4322717963 doi "https://doi.org/10.48550/arxiv.2302.13918" @default.
- W4322717963 hasPublicationYear "2023" @default.
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