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Hybrid Summary Statistics

TL Makinen, C Sui, BD Wandelt, N Porqueres… - arXiv preprint arXiv …, 2024 - arxiv.org
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… We present a way to capture high-information posteriors from training sets that are sparsely sampled over the parameter space for robust simulation-based inference. In …

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BibTeX

@article{2410.07548v2,
Author = {T. Lucas Makinen and Ce Sui and Benjamin D. Wandelt and Natalia Porqueres and Alan Heavens},
Title = {Hybrid Summary Statistics},
Eprint = {2410.07548v2},
ArchivePrefix = {arXiv},
PrimaryClass = {stat.ML},
Abstract = {We present a way to capture high-information posteriors from training sets that are sparsely sampled over the parameter space for robust simulation-based inference. In physical inference problems, we can often apply domain knowledge to define traditional summary statistics to capture some of the information in a dataset. We show that augmenting these statistics with neural network outputs to maximise the mutual information improves information extraction compared to neural summaries alone or their concatenation to existing summaries and makes inference robust in settings with low training data. We introduce 1) two loss formalisms to achieve this and 2) apply the technique to two different cosmological datasets to extract non-Gaussian parameter information.},
Year = {2024},
Month = {Oct},
Url = {http://arxiv.org/abs/2410.07548v2},
File = {2410.07548v2.pdf}
}

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