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Wed 22 Jan 2020 11:13 - 11:35 at Ile de France II (IDF II) - Probabilistic Programming Chair(s): Alexandra Silva

We present a denotational semantics for higher-order probabilistic programs in terms of linear operators between Banach spaces. Our semantics is rooted in the classical theory of Banach spaces and their tensor products, but bears similarities with the well-known semantics of higher-order programs a la Scott through the use of ordered Banach spaces which allow definitions in terms of fixed points. Our semantics is a model of intuitionistic linear logic: it is linear because it is based on a symmetric monoidal closed category of ordered Banach spaces, but by constructing an exponential comonad we can also accommodate non-linear reasoning. We apply our semantics to the verification of the classical Gibbs sampling algorithm.

Semantics of Higher-Order Probabilistic Programs with Conditioning (POPL_2020.pdf)221KiB

Wed 22 Jan
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10:30 - 11:35: Research Papers - Probabilistic Programming at Ile de France II (IDF II)
Chair(s): Alexandra SilvaUniversity College London
POPL-2020-Research-Papers10:30 - 10:51
Wonyeol LeeKAIST, Hangyeol YuKAIST, Xavier RivalINRIA/CNRS/ENS Paris, Hongseok YangKAIST
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POPL-2020-Research-Papers10:51 - 11:13
Alexander K. LewMassachusetts Institute of Technology, USA, Marco Cusumano-TownerMIT-CSAIL, Benjamin ShermanMassachusetts Institute of Technology, USA, Michael CarbinMassachusetts Institute of Technology, Vikash MansinghkaMIT
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POPL-2020-Research-Papers11:13 - 11:35
Fredrik DahlqvistUniversity College London, Dexter KozenCornell University
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