Variational inference: A review for statisticians

DM Blei, A Kucukelbir, JD McAuliffe - Journal of the American …, 2017 - Taylor & Francis
One of the core problems of modern statistics is to approximate difficult-to-compute
probability densities. This problem is especially important in Bayesian statistics, which …

JuMP: A modeling language for mathematical optimization

I Dunning, J Huchette, M Lubin - SIAM review, 2017 - SIAM
JuMP is an open-source modeling language that allows users to express a wide range of
optimization problems (linear, mixed-integer, quadratic, conic-quadratic, semidefinite, and …

A simple variational Bayes detector for orthogonal time frequency space (OTFS) modulation

W Yuan, Z Wei, J Yuan, DWK Ng - IEEE transactions on …, 2020 - ieeexplore.ieee.org
The emerging orthogonal time frequency space (OTFS) modulation technique has shown its
superiority to the current orthogonal frequency division multiplexing (OFDM) scheme, in …

Hierarchical variational models

R Ranganath, D Tran, D Blei - International conference on …, 2016 - proceedings.mlr.press
Black box variational inference allows researchers to easily prototype and evaluate an array
of models. Recent advances allow such algorithms to scale to high dimensions. However, a …

Multivariate output analysis for Markov chain Monte Carlo

D Vats, JM Flegal, GL Jones - Biometrika, 2019 - academic.oup.com
SUMMARY Markov chain Monte Carlo produces a correlated sample which may be used for
estimating expectations with respect to a target distribution. A fundamental question is: when …

Semi-implicit variational inference

M Yin, M Zhou - International conference on machine …, 2018 - proceedings.mlr.press
Semi-implicit variational inference (SIVI) is introduced to expand the commonly used
analytic variational distribution family, by mixing the variational parameter with a flexible …

Covariances, robustness, and variational Bayes

R Giordano, T Broderick, MI Jordan - Journal of machine learning research, 2018 - jmlr.org
Mean-field Variational Bayes (MFVB) is an approximate Bayesian posterior inference
technique that is increasingly popular due to its fast runtimes on large-scale data sets …

Patterns of scalable Bayesian inference

E Angelino, MJ Johnson… - Foundations and Trends …, 2016 - nowpublishers.com
Datasets are growing not just in size but in complexity, creating a demand for rich models
and quantification of uncertainty. Bayesian methods are an excellent fit for this demand, but …

A multiple-phenotype imputation method for genetic studies

A Dahl, V Iotchkova, A Baud, Å Johansson… - Nature …, 2016 - nature.com
Genetic association studies have yielded a wealth of biological discoveries. However, these
studies have mostly analyzed one trait and one SNP at a time, thus failing to capture the …

Bayesian weighted Mendelian randomization for causal inference based on summary statistics

J Zhao, J Ming, X Hu, G Chen, J Liu, C Yang - Bioinformatics, 2020 - academic.oup.com
Abstract Motivation The results from Genome-Wide Association Studies (GWAS) on
thousands of phenotypes provide an unprecedented opportunity to infer the causal effect of …