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    $\begingroup$ The topic greatly outclasses my understanding, but this may be related to compressed sensing, which is a method to extract seemingly impossible S/N ratios based on information theory. In the 2000s it was very gainfully exemplified for simulated MRI scans by Emmanuel Candès and Terence Tao. I've wondered if this would somehow make its way into other applications. $\endgroup$
    – Nicolau Saker Neto
    Commented Oct 23, 2022 at 2:53
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    $\begingroup$ @NicolauSakerNeto, I think MaxEnt is not related to compressed sensing (which is something new to me). Apparently, the MaxEnt reconstruction looks very innocent like a constraint optimization but implementation on discrete data must be a nightmare! I cannot find any simple example of MaxEnt which one can try on a simple chemical data. $\endgroup$
    – ACR
    Commented Oct 23, 2022 at 4:23
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    $\begingroup$ Maximum entropy techniques are used in mass spectrometry data processing, usually for analysis of intact, large proteins. The goal is to extract the mass (not the mass-to-charge) spectrum from instrumental data, which is a mass-to-charge ratio spectrum. $\endgroup$
    – Curt F.
    Commented Oct 23, 2022 at 5:03
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    $\begingroup$ @NicolauSakerNeto yes - CS is one of the more popular algorithms for reconstructing NMR data: onlinelibrary.wiley.com/doi/10.1002/anie.201100440 $\endgroup$
    – orthocresol
    Commented Oct 23, 2022 at 9:51