Toward Bayesian Data Compression
نویسندگان
چکیده
In order to handle large data sets omnipresent in modern science, efficient compression algorithms are necessary. Here, a Bayesian (BDC) algorithm that adapts the specific measurement situation is derived context of signal reconstruction. BDC compresses set under conservation its posterior structure with minimal information loss given prior knowledge on signal, quantity interest. Its basic form valid for Gaussian priors and likelihoods. For constant noise standard deviation, becomes equivalent analog principal component analysis. Using Metric Variational Inference, generalizes non-linear settings. current form, requires storage effective instrument response functions compressed corresponding encoding covariance structure. Their memory demand counteract gain. improve this, sparsity responses can be obtained by separating into patches compressing them separately. The applicability demonstrated applying it synthetic radio astronomical data. Still needs further improvement as computation time subsequent inference exceeds original
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ژورنال
عنوان ژورنال: Annalen der Physik
سال: 2021
ISSN: ['1521-3889', '0003-3804']
DOI: https://doi.org/10.1002/andp.202000508