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math.ST2026
Consistency of variational approximations under bounded Kullback--Leibler divergence
Hien Duy Nguyen, Jacob Westerhout, Thomas Guilmeau +1
Variational methods are widely used to approximate posterior distributions in Bayesian inference when exact computation is infeasible. We study when such approximations inherit pos…
math.ST2023
On variational inference and maximum likelihood estimation with the λ-exponential family
Thomas Guilmeau, Emilie Chouzenoux, Víctor Elvira
The λ-exponential family has recently been proposed to generalize the exponential family. While the exponential family is well-understood and widely used, this it not the case of t…