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In classic papers, Zellner demonstrated that Bayesian inference could be derived as the solution to an information theoretic functional.
Information theory and statistical mechanics
Edwin T Jaynes · 1957
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Optimal information processing and bayes’s theorem
Arnold Zellner · 1988
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The information bottleneck method
Naftali Tishby, Fernando C Pereira, and William Bialek · 2000
Earlier work this paper cites.
Predictability, complexity, and learning
William Bialek, Ilya Nemenman, and Naftali Tishby · 2001
Earlier work this paper cites.
Information processing and bayesian analysis
Arnold Zellner · 2002
Earlier work this paper cites.
Interpreting statistical evidence by using imperfect models: robust adjusted likelihood functions
Richard Royall and Tsung-Shan Tsou · 2003
Earlier work this paper cites.
The formal definition of reference priors
James O Berger, José M Bernardo, Dongchu Sun, et al · 2009
Earlier work this paper cites.
Deep variational information bottleneck
Alexander A Alemi, Ian Fischer, Joshua V Dillon, and Kevin Murphy · 2016
Cited alongside, same era.
On the properties of variational approximations of gibbs posteriors
Pierre Alquier, James Ridgway, and Nicolas Chopin · 2016
Cited alongside, same era.
A general framework for updating belief distributions
P. G. Bissiri, C. C. Holmes, and S. G. Walker · 2016
Cited alongside, same era.
Learners that use little information
Raef Bassily, Shay Moran, Ido Nachum, Jonathan Shafer, and Amir Yehudayoff · 2017
Cited alongside, same era.
Variational inference based on robust divergences
Futoshi Futami, Issei Sato, and Masashi Sugiyama · 2017
Cited alongside, same era.
Marta Garnelo, Jonathan Schwarz, Dan Rosenbaum, Fabio Viola, Danilo J Rezende, SM Eslami, and Yee Whye Teh · 2018
Later among the works it cites.
Empirical bayes methods
Johannes S Maritz and T Lwin · 2018
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Maximizing the information learned from finite data selects a simple model
Henry H Mattingly, Mark K Transtrum, Michael C Abbott, and Benjamin B Machta · 2018
Later among the works it cites.
The conditional entropy bottleneck, 2019
Ian Fischer · 2019
Closest in time.
Generalized variational inference
Jeremias Knoblauch, Jack Jewson, and Theodoros Damoulas · 2019
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Assigning a value to a power likelihood in a general bayesian model
CC Holmes and SG Walker · 2017
Cited alongside, same era.
TherML: Thermodynamics of machine learning, 2018
Alexander A. Alemi and Ian Fischer · 2018
Cited alongside, same era.
Ben Poole, Sherjil Ozair, Aaron van den Oord, Alexander A Alemi, and George Tucker · 2019
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