[HN Gopher] An Overview of Bayesian Inference (2019) ___________________________________________________________________ An Overview of Bayesian Inference (2019) Author : luu Score : 69 points Date : 2020-04-01 01:33 UTC (21 hours ago) (HTM) web link (jaydaigle.net) (TXT) w3m dump (jaydaigle.net) | ur-whale wrote: | Slightly OT, but I wonder if anyone in the know could shed a | light on where Baye's theorem is applied (if anywhere) in quantum | mechanics? | | In particular, has anyone tries to apply the bayesian framework | to the whole "the wave collapses upon measurement" shebang? | shoo wrote: | You may find this interesting: | | Gelman, Yao - Holes in Bayesian Statistics | | > Every philosophy has holes, and it is the responsibility of | proponents of a philosophy to point out these problems. Here | are a few holes in Bayesian data analysis: (1) the usual rules | of conditional probability fail in the quantum realm, (2) flat | or weak priors lead to terrible inferences about things we care | about, (3) subjective priors are incoherent, (4) Bayes factors | fail in the presence of flat or weak priors, (5) for Cantorian | reasons we need to check our models, but this destroys the | coherence of Bayesian inference. | | In particular, you may appreciate the example and discussion in | section 2: | | > Probability theory isn't true (quantum physics) | | http://www.stat.columbia.edu/~gelman/research/unpublished/ba... | deepnet wrote: | contrarily "...we obtain that quantum mechanics is the | Bayesian theory in the complex numbers." | | from Quantum mechanics: The Bayesian theory generalised to | the space of Hermitian matrices by Alessio Benavoli, | Alessandro Facchini, Marco Zaffalon | | https://arxiv.org/abs/1605.08177 | gjm11 wrote: | There is a thing called "Quantum Bayesianism": | https://en.wikipedia.org/wiki/Quantum_Bayesianism | deepnet wrote: | "Quantum Bayesianism, or QBism as Fuchs now calls it, solves | many of quantum theory's deepest mysteries. Take, for instance, | the infamous "collapse of the wave function," wherein the | quantum system inexplicably transitions from multiple | simultaneous states to a single actuality. According to QBism, | the wave function's "collapse" is simply the observer updating | his or her beliefs after making a measurement." | | https://www.quantamagazine.org/quantum-bayesianism-explained... ___________________________________________________________________ (page generated 2020-04-01 23:00 UTC)