A Tighter Bound for Graphical Models
By Martijn A. R. Leisink, Hilbert J. Kappen. 2001
26 citations recorded by the source corpus.
Subfields: Artificial Intelligence, Statistical and Nonlinear Physics
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Artificial Intelligence
- David M. Blei
- Michael I. Jordan
- Tommi S. Jaakkola
- Ruslan Salakhutdinov
- Eric P. Xing
- Jon D. McAuliffe
- Qiang Liu
- Percy Liang
In Statistical and Nonlinear Physics
- John William Paisley
- Michael I. Jordan
- Alan S. Willsky
- Martin J. Wainwright
- David M. Blei
- Alp Kucukelbir
- Tommi S. Jaakkola
- Jon D. McAuliffe
Citations in the corpus
- Variational Inference: A Review for Statisticians (2016, background): “Other work has developed divergences based on lower bounds that are tighter than the ELBO (Barber and de van Laar 1999; Leisink and Kappen 2001).”
- Bayesian reasoning and machine learning (2012, unknown): “7) The significance is that this double integration (or summation in the case of discrete variables) is a general procedure for generating a new bound from an existing bound [172].”
- Graphical Models, Exponential Families, and Variational Inference (2008, background): “Leisinck and Kappen [153] proposed a class of higher-order expansions that generate tighter lower bounds.”
- A new class of upper bounds on the log partition function (2002, methodology): “By using higher order expansions, Leisink and Kappen [25] derived lower bounds that are tighter than naive mean field.”
- Variational Bayesian Inference with Stochastic Search (2012, methodology): “Therefore, much attention has been paid to developing tight bounds of commonly occurring functions (e.g., Jaakkola & Jordan (2000), Marlin et al. (2011), Leisink & Kappen (2001)).”