2021
DOI: 10.1038/s41534-021-00497-w
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A machine learning approach to Bayesian parameter estimation

Abstract: Bayesian estimation is a powerful theoretical paradigm for the operation of the approach to parameter estimation. However, the Bayesian method for statistical inference generally suffers from demanding calibration requirements that have so far restricted its use to systems that can be explicitly modeled. In this theoretical study, we formulate parameter estimation as a classification task and use artificial neural networks to efficiently perform Bayesian estimation. We show that the network’s posterior distrib… Show more

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Cited by 31 publications
(23 citation statements)
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References 67 publications
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“…35,36 Their application to the metrology and sensing fields fosters the idea of self-calibrated quantum sensors not relying on explicit knowledge of the model describing the device operation [37][38][39] and retrieving Hamiltonian parameters directly from experimental data. 40 As an example, Nolan et al 18 reformulated the parameter estimation problem as a classification task to overcome the calibration requirements needed from Bayesian estimation.…”
Section: Artificial Intelligence Quantum Metrologymentioning
confidence: 99%
“…35,36 Their application to the metrology and sensing fields fosters the idea of self-calibrated quantum sensors not relying on explicit knowledge of the model describing the device operation [37][38][39] and retrieving Hamiltonian parameters directly from experimental data. 40 As an example, Nolan et al 18 reformulated the parameter estimation problem as a classification task to overcome the calibration requirements needed from Bayesian estimation.…”
Section: Artificial Intelligence Quantum Metrologymentioning
confidence: 99%
“…This approach of continuous measurement while sensing can also be applied at the level of single quantum trajectories for a single quantum system 92,136,137 . In this case, a continuous measurement signal can be used to track a quantum system while also gaining information about the parameters of the system's Hamiltonian.…”
Section: Application: Quantum Sensingmentioning
confidence: 99%
“…In another vein, machine learning (ML) tools are incorporated to address distinct problems in quantum technologies. In particular, neural networks (NNs) are valuable in distinct quantum sensing scenarios leading to adaptive protocols for phase estimation [17][18][19] , parameter estimation [20][21][22][23][24] , and quantum sensors calibration [25][26][27] .…”
Section: Introductionmentioning
confidence: 99%