Search Results for author: Daniel Simpson

Found 13 papers, 9 papers with code

Treatment effect estimation with Multilevel Regression and Poststratification

1 code implementation19 Feb 2021 Yuxiang Gao, Lauren Kennedy, Daniel Simpson

Using MRP-style estimators, treatment effect estimates for areas as small as 1. 3$\%$ of the population have lower bias and variance than standard causal inference methods, even in the presence of treatment effect heterogeneity.

Causal Inference Methodology

Improving multilevel regression and poststratification with structured priors

2 code implementations19 Aug 2019 Yuxiang Gao, Lauren Kennedy, Daniel Simpson, Andrew Gelman

A central theme in the field of survey statistics is estimating population-level quantities through data coming from potentially non-representative samples of the population.

Methodology

The Integrated Nested Laplace Approximation for fitting Dirichlet regression models

1 code implementation9 Jul 2019 Joaquín Martínez-Minaya, Finn Lindgren, Antonio López-Quílez, Daniel Simpson, David Conesa

This paper introduces a Laplace approximation to Bayesian inference in Dirichlet regression models, which can be used to analyze a set of variables on a simplex exhibiting skewness and heteroscedasticity, without having to transform the data.

Bayesian Inference Computation Methodology

Rank-normalization, folding, and localization: An improved $\widehat{R}$ for assessing convergence of MCMC

2 code implementations19 Mar 2019 Aki Vehtari, Andrew Gelman, Daniel Simpson, Bob Carpenter, Paul-Christian Bürkner

In this paper we show that the convergence diagnostic $\widehat{R}$ of Gelman and Rubin (1992) has serious flaws.

Computation Methodology

Yes, but Did It Work?: Evaluating Variational Inference

1 code implementation ICML 2018 Yuling Yao, Aki Vehtari, Daniel Simpson, Andrew Gelman

While it's always possible to compute a variational approximation to a posterior distribution, it can be difficult to discover problems with this approximation.

Variational Inference

Visualization in Bayesian workflow

2 code implementations5 Sep 2017 Jonah Gabry, Daniel Simpson, Aki Vehtari, Michael Betancourt, Andrew Gelman

Bayesian data analysis is about more than just computing a posterior distribution, and Bayesian visualization is about more than trace plots of Markov chains.

Methodology Applications

Using stacking to average Bayesian predictive distributions

2 code implementations6 Apr 2017 Yuling Yao, Aki Vehtari, Daniel Simpson, Andrew Gelman

The widely recommended procedure of Bayesian model averaging is flawed in the M-open setting in which the true data-generating process is not one of the candidate models being fit.

Methodology Computation

Asynchronous Gibbs Sampling

no code implementations30 Sep 2015 Alexander Terenin, Daniel Simpson, David Draper

We introduce a theoretical framework for analyzing asynchronous Gibbs sampling and other extensions of MCMC that do not possess the Markov property.

Computation

Pareto Smoothed Importance Sampling

9 code implementations9 Jul 2015 Aki Vehtari, Daniel Simpson, Andrew Gelman, Yuling Yao, Jonah Gabry

Importance weighting is a general way to adjust Monte Carlo integration to account for draws from the wrong distribution, but the resulting estimate can be highly variable when the importance ratios have a heavy right tail.

Does non-stationary spatial data always require non-stationary random fields?

no code implementations2 Sep 2014 Geir-Arne Fuglstad, Daniel Simpson, Finn Lindgren, Håvard Rue

A stationary spatial model is an idealization and we expect that the true dependence structures of physical phenomena are spatially varying, but how should we handle this non-stationarity in practice?

Methodology Applications

On Russian Roulette Estimates for Bayesian Inference with Doubly-Intractable Likelihoods

no code implementations17 Jun 2013 Anne-Marie Lyne, Mark Girolami, Yves Atchadé, Heiko Strathmann, Daniel Simpson

The methodology is reviewed on well-known examples such as the parameters in Ising models, the posterior for Fisher-Bingham distributions on the $d$-Sphere and a large-scale Gaussian Markov Random Field model describing the Ozone Column data.

Bayesian Inference

Exploring a New Class of Non-stationary Spatial Gaussian Random Fields with Varying Local Anisotropy

no code implementations25 Apr 2013 Geir-Arne Fuglstad, Finn Lindgren, Daniel Simpson, Håvard Rue

This allows for the introduction of parameters that control the GRF by parametrizing the diffusion matrix.

Methodology

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