54 citations · 324 across the 30 of their papers we have counts for
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math.OA2026
Bayesian inference and retrodiction for faithful states on von Neumann algebras
Pradyut Karmakar, Arthur J. Parzygnat
Retrodiction is the act of inferring a cause from its effects, the most common example of which is Bayesian inference. Retrodiction can be defined by its structural process-theoret…
math.OA2021★ 8 cited
Bayesian inversion and the Tomita-Takesaki modular group
Luca Giorgetti, Arthur J. Parzygnat, Alessio Ranallo +1
We show that conditional expectations, optimal hypotheses, disintegrations, and adjoints of unital completely positive maps, are all instances of Bayesian inverses. We study the ex…
math.OA2018★ 5 cited
Stinespring's construction as an adjunction
Arthur J. Parzygnat
Given a representation of a unital -algebra on a Hilbert space , together with a bounded linear map from some other Hi…