Fetching the paper…
Reading the bibliography…
Mean field variational inference (VI) is the problem of finding the closest product (factorized) measure, in the sense of relative entropy, to a given high-dimensional probability measure $\rho$.
Nonlinear Programming
D. P. Bertsekas · 1997
Earlier work this paper cites.
A Convexity Principle for Interacting Gases
R. J. McCann · 1997
Earlier work this paper cites.
Analysis
E. H. Lieb and M. Loss · 2001
Earlier work this paper cites.
The geometry of dissipative evolution equations: the porous medium equation
F. Otto · 2001
Earlier work this paper cites.
Convergence of a block coordinate descent method for nondifferentiable minimization
P. Tseng · 2001
Earlier work this paper cites.
Convergence properties of a general algorithm for calculating variational Bayesian estimates for a normal mixture model
D. M. Titterington and B. Wang · 2006
Earlier work this paper cites.
Gradient Flows
L. Ambrosio, N. Gigli, and G. Savare · 2008
Earlier work this paper cites.
Graphical models, exponential families, and variational inference
M. J. Wainwright and M. I. Jordan · 2008
Earlier work this paper cites.
Theoretical properties of the log-concave maximum likelihood estimator of a multidimensional density
M. Cule and R. Samworth · 2010
Earlier work this paper cites.
Transport inequalities. a survey
N. Gozlan and C. Léonard · 2010
Earlier work this paper cites.
On the nonasymptotic convergence of cyclic coordinate descent methods
A. Saha and A. Tewari · 2013
Earlier work this paper cites.
Log-concavity and strong log-concavity: a review
A. Saumard and J. A. Wellner · 2014
Cited alongside, same era.
Iteration complexity analysis of block coordinate descent methods
M. Hong, X. Wang, M. Razaviyayn, and Z.-Q. Luo · 2016
Cited alongside, same era.
First-order methods in optimization
A. Beck · 2017
Cited alongside, same era.
Variational inference: A review for statisticians
D. M. Blei, A. Kucukelbir, and J. D. McAuliffe · 2017
Cited alongside, same era.
On faster convergence of cyclic block coordinate descent-type methods for strongly convex minimization
X. Li, T. Zhao, R. Arora, H. Liu, and M. Hong · 2018
Cited alongside, same era.
A forward-reverse Brascamp-Lieb inequality: Entropic duality and Gaussian optimality
J. Liu, T. A. Courtade, P. W. Cuff, and S. Verdú · 2018
Cited alongside, same era.
Dynamics of coordinate ascent variational inference: A case study in 2d ising models
S. Plummer, D. Pati, and A. Bhattacharya · 2020
Later among the works it cites.
Theoretical and computational guarantees of mean field variational inference for community detection
A. Y. Zhang and H. H. Zhou · 2020
Later among the works it cites.
Topics in Optimal Transportation
C. Villani · 2021
Later among the works it cites.
Variational inference via Wasserstein gradient flows
M. Lambert, S. Chewi, F. Bach, S. Bonnabel, and P. Rigollet · 2022
Later among the works it cites.
Mean field variational inference via Wasserstein gradient flow
R. Yao and Y. Yang · 2022
Later among the works it cites.
On the convergence of coordinate ascent variational inference, 2023
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Mean field for the stochastic blockmodel: Optimization landscape and convergence issues
S. S. Mukherjee, P. Sarkar, Y. X. R. Wang, and B. Yan · 2018
Cited alongside, same era.
Sampling as optimization in the space of measures: The Langevin dynamics as a composite optimization problem
A. Wibisono · 2018
Cited alongside, same era.
Analysis and approximation of rare events
A. Budhiraja and P. Dupuis · 2019
Cited alongside, same era.
Analysis of Langevin Monte Carlo via convex optimization
A. Durmus, S. Majewski, and B. Miasojedow · 2019
Cited alongside, same era.
A. Bhattacharya, D. Pati, and Y. Yang · 2023
Later among the works it cites.
Algorithms for mean-field variational inference via polyhedral optimization in the Wasserstein space
Y. Jiang, S. Chewi, and A.-A. Pooladian · 2023
Later among the works it cites.
Independent projections of diffusions: Gradient flows for variational inference and optimal mean field approximations, 2023
D. Lacker · 2023
Later among the works it cites.
Mean Field Approximations via Log-Concavity
D. Lacker, S. Mukherjee, and L. C. Yeung · 2023
Later among the works it cites.
Log-concave sampling
S. Chewi · 2024
Closest in time.