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- W4313447534 abstract "This short study reformulates the statistical Bayesian learning problem using a quantum mechanics framework. Density operators representing ensembles of pure states of sample wave functions are used in place probability densities. We show that such representation allows to formulate the statistical Bayesian learning problem in different coordinate systems on the sample space. We further show that such representation allows to learn projections of density operators using a kernel trick. In particular, the study highlights that decomposing wave functions rather than probability densities, as it is done in kernel embedding, allows to preserve the nature of probability operators. Results are illustrated with a simple example using discrete orthogonal wavelet transform of density operators." @default.
- W4313447534 created "2023-01-06" @default.
- W4313447534 creator A5000067831 @default.
- W4313447534 date "2022-12-28" @default.
- W4313447534 modified "2023-10-18" @default.
- W4313447534 title "Bayesian statistical learning using density operators" @default.
- W4313447534 doi "https://doi.org/10.48550/arxiv.2212.14715" @default.
- W4313447534 hasPublicationYear "2022" @default.
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