Search Results for author: Ryan Martin

Found 6 papers, 1 papers with code

Gibbs posterior concentration rates under sub-exponential type losses

no code implementations8 Dec 2020 Nicholas Syring, Ryan Martin

Gibbs posterior distributions, on the other hand, offer direct, principled, probabilistic inference on quantities of interest through a loss function, not a model-based likelihood.

Statistics Theory Methodology Statistics Theory 62F15 (Primary) 62G08, 62G20 (Secondary)

Variational approximations of empirical Bayes posteriors in high-dimensional linear models

no code implementations31 Jul 2020 Yue Yang, Ryan Martin

In high-dimensions, the prior tails can have a significant effect on both posterior computation and asymptotic concentration rates.

Vocal Bursts Intensity Prediction

Validity, consonant plausibility measures, and conformal prediction

no code implementations24 Jan 2020 Leonardo Cella, Ryan Martin

The standard notion of validity, what we refer to here as Type-1 validity, focuses on coverage probability of prediction regions, while a notion of validity relevant to the other prediction-related tasks performed by predictive distributions is lacking.

Conformal Prediction

Variational approximations using Fisher divergence

no code implementations13 May 2019 Yue Yang, Ryan Martin, Howard Bondell

Modern applications of Bayesian inference involve models that are sufficiently complex that the corresponding posterior distributions are intractable and must be approximated.

Bayesian Inference

Calibrating general posterior credible regions

1 code implementation3 Sep 2015 Nicholas Syring, Ryan Martin

An advantage of methods that base inference on a posterior distribution is that credible regions are readily obtained.

Methodology

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