Title
A Formal Semantics of Influence in Bayesian Reasoning.
Abstract
This paper proposes a formal definition of influence in Bayesian reasoning, based on the notions of state (as probability distribution), predicate, validity and conditioning. Our approach highlights how conditioning a joint entwined/entangled state with a predicate on one of its components has u0027crossoveru0027 influence on the other components. We use the total variation metric on probabilitydistributions to quantitatively measure such influence. These insights are applied to give a rigorous explanation of the fundamental concept of d-separation in Bayesian networks.
Year
Venue
Field
2017
MFCS
Discrete mathematics,Crossover,Bayesian inference,Computer science,Formal description,Theoretical computer science,Probability distribution,Bayesian network,Predicate (grammar),Semantics of logic
DocType
Citations 
PageRank 
Conference
1
0.38
References 
Authors
0
2
Name
Order
Citations
PageRank
B. Jacobs11046100.09
Fabio Zanasi211013.89