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Cohomology in algebra, geometry, physicsand statistics
The de Finetti theorem in categorical probability
Speaker’s name:
Tobias Fritz
Speaker’s affiliation:
University of Innsbruck, Austria
Place:
ZOOM meeting
Date:
Wednesday, 7. April 2021 - 11:30 to 12:30
Abstract:
While probability theory is traditionally based on measure theory and Kolmogorov's axioms as a foundation, the recently proposed
formalism of Markov categories constitutes a potential alternative approach in which a (modest) number of classical theorems of probability
and statistics have already been reproduced and generalized. In this talk, I will introduce this approach and illustrate its utility by
providing a statement and proof of the classical de Finetti theorem in entirely abstract categorical terms without measure theory. Based on
joint work with Tomáš Gonda, Paolo Perrone and Eigil Rischel.
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We open ZOOM at 11.30 and close at 13.00.
formalism of Markov categories constitutes a potential alternative approach in which a (modest) number of classical theorems of probability
and statistics have already been reproduced and generalized. In this talk, I will introduce this approach and illustrate its utility by
providing a statement and proof of the classical de Finetti theorem in entirely abstract categorical terms without measure theory. Based on
joint work with Tomáš Gonda, Paolo Perrone and Eigil Rischel.
--------------------------------------------------------------------------------------------------------------------------------------------------------------------
We open ZOOM at 11.30 and close at 13.00.
Join Zoom Meeting
https://cesnet.zoom.us/j/99598413922?pwd=ckltMjgwTEswMFc2ejJkL1ltYWt5dz09
Meeting ID: 995 9841 3922
Passcode: Finetti