Variational inference: A review for statisticians
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 …
probability densities. This problem is especially important in Bayesian statistics, which …
JuMP: A modeling language for mathematical optimization
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 …
optimization problems (linear, mixed-integer, quadratic, conic-quadratic, semidefinite, and …
A simple variational Bayes detector for orthogonal time frequency space (OTFS) modulation
The emerging orthogonal time frequency space (OTFS) modulation technique has shown its
superiority to the current orthogonal frequency division multiplexing (OFDM) scheme, in …
superiority to the current orthogonal frequency division multiplexing (OFDM) scheme, in …
Hierarchical variational models
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 …
of models. Recent advances allow such algorithms to scale to high dimensions. However, a …
Multivariate output analysis for Markov chain Monte Carlo
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 …
estimating expectations with respect to a target distribution. A fundamental question is: when …
Semi-implicit variational inference
Semi-implicit variational inference (SIVI) is introduced to expand the commonly used
analytic variational distribution family, by mixing the variational parameter with a flexible …
analytic variational distribution family, by mixing the variational parameter with a flexible …
Covariances, robustness, and variational Bayes
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 …
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 …
and quantification of uncertainty. Bayesian methods are an excellent fit for this demand, but …
A multiple-phenotype imputation method for genetic studies
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 …
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
Abstract Motivation The results from Genome-Wide Association Studies (GWAS) on
thousands of phenotypes provide an unprecedented opportunity to infer the causal effect of …
thousands of phenotypes provide an unprecedented opportunity to infer the causal effect of …