CSH Talk by David Wolpert: "Uncertainty relations and fluctuation theorems for Bayes nets" - CSH

CSH Talk by David Wolpert: “Uncertainty relations and fluctuation theorems for Bayes nets”


Feb 05, 2020 | 15:0016:00

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The lecture by David Wolpert from Santa Fe Institute will take place at the Complexity Science Hub Vienna.

 

Room: Salon

 

If you are interested in participating, please email to office@csh.ac.at.

 

 

Abstract:

 

The pioneering paper “Information Thermodynamics on Causal Networks” by Sosuke Ito and Takahiro Sagawa (2013) analyzed the non-equilibrium statistical physics of a set of multiple interacting systems, S, whose joint discrete-time evolution is specified by a Bayesian network. The major result of Ito and Sagawa was an integral fluctuation theorem (IFT) governing the sum of two quantities: the entropy production (EP) of an arbitrary single one of the systems, v in the set S, and the transfer entropy from v to the other systems.

 

Here I extend the analysis in Ito and Sagawa’s paper. I derive several detailed fluctuation theorems (DFTs), concerning arbitrary subsets of all the systems (including the full set). I also derive several associated IFTs, concerning an arbitrary subset of the systems, thereby extending Ito/Sagawa’s IFT. In addition, I derive “conditional” DFTs and IFTs, involving conditional probability distributions rather than—as in conventional fluctuation theorems—unconditioned distributions. I then derive thermodynamic uncertainty relations relating the total EP of the Bayes net to the set of all the precisions of probability currents within the individual systems.

 

 

 

Details

Date
Feb 05, 2020
Time
15:00—16:00

Organizer

Complexity Science Hub Vienna
Phone
+43 1 59991 600
Email
office@csh.ac.at
Website
www.csh.ac.at

Venue

CSH Vienna
Josefstaedter Straße 39
Wien,1080
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Phone
+43 1 59991 600
Website
www.csh.ac.at