Sun 15 Jan 2023 11:45 - 11:50 at Scollay - Second Session Chair(s): Steven Holtzen, Christine Tasson

We study random probability distributions, i.e. distributions on distributions, from the perspective of category theory. We show that homogeneous random distributions, in which atoms are independent of atom weights, bijectively correspond to natural transformations G -> GG, where G is the Giry monad. This includes many examples from the Bayesian nonparametrics literature, including Dirichlet processes and Kingman’s paintbox construction. Probabilistic programming is a promising method for these kinds of models, which involve advanced statistical techniques but often have a clear computational description.

Random probability distributions as natural transformations (lafi23-final18.pdf)181KiB

Sun 15 Jan

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11:00 - 12:30
Second SessionLAFI at Scollay
Chair(s): Steven Holtzen Northeastern University, Christine Tasson Sorbonne Université — LIP6
11:00
20m
Talk
What do posterior distributions of probabilistic programs look like?Boston
LAFI
Mathieu Huot University of Oxford, A: Alexander K. Lew Massachusetts Institute of Technology, Vikash K. Mansinghka Massachusetts Institute of Technology, Sam Staton University of Oxford
File Attached
11:20
10m
Talk
Semantics of Probabilistic Program TracesBoston
LAFI
Alexander K. Lew Massachusetts Institute of Technology, A: Eli Sennesh Northeastern University, Jan-Willem Van De Meent University of Amsterdam, Vikash Mansinghka Massachusetts Institute of Technology
File Attached
11:30
10m
Talk
A convenient category of tracing measure kernelsBoston
LAFI
A: Eli Sennesh Northeastern University, Jan-Willem Van De Meent University of Amsterdam
File Attached
11:45
5m
Talk
Random probability distributions as natural transformationsParis
LAFI
A: Victor Blanchi ENS Paris, Hugo Paquet University of Oxford
File Attached
11:50
5m
Talk
Static Delayed Sampling for Probabilistic Programming LanguagesParis
LAFI
A: Gizem Caylak KTH Royal Institute of Technology, Daniel Lundén KTH Royal Institute of Technology, Viktor Senderov Naturhistoriska riksmuseet, David Broman KTH Royal Institute of Technology
11:55
5m
Talk
Denotational semantics of languages for inference: semirings, monads, and tensorsOnline
LAFI
Cristina Matache University of Edinburgh, A: Sean K. Moss University of Cambridge, Sam Staton University of Oxford, Ariadne Si Suo University of Oxford
12:10
5m
Talk
Separated and Shared Effects in Higher-Order LanguagesBoston
LAFI
A: Pedro Henrique Azevedo de Amorim Cornell University, Justin Hsu Cornell University
12:15
5m
Talk
On Iteration in Discrete Probabilistic ProgrammingBoston
LAFI
A: Mateo Torres-Ruiz , Robin Piedeleu University of Oxford, Alexandra Silva Cornell University, Fabio Zanasi University College London
File Attached
12:20
5m
Talk
Bit-Blasting Probabilistic ProgramsBoston
LAFI
A: Poorva Garg University of California, Los Angeles, Steven Holtzen Northeastern University, Guy Van den Broeck University of California at Los Angeles, Todd Millstein University of California at Los Angeles
File Attached
12:25
5m
Talk
πMPC: Automatic Security Proofs for MPC ProtocolsBoston
LAFI
A: Mako P. Bates University of Vermont, Joseph P. Near University of Vermont