Search Results for author: Kolyan Ray

Found 7 papers, 2 papers with code

Semiparametric inference using fractional posteriors

no code implementations19 Jan 2023 Alice L'Huillier, Luke Travis, Ismaël Castillo, Kolyan Ray

We establish a general Bernstein--von Mises theorem for approximately linear semiparametric functionals of fractional posterior distributions based on nonparametric priors.

Uncertainty Quantification

On the inability of Gaussian process regression to optimally learn compositional functions

no code implementations16 May 2022 Matteo Giordano, Kolyan Ray, Johannes Schmidt-Hieber

We rigorously prove that deep Gaussian process priors can outperform Gaussian process priors if the target function has a compositional structure.

regression

Variational Bayes for high-dimensional proportional hazards models with applications within gene expression

1 code implementation19 Dec 2021 Michael Komodromos, Eric Aboagye, Marina Evangelou, Sarah Filippi, Kolyan Ray

Few Bayesian methods for analyzing high-dimensional sparse survival data provide scalable variable selection, effect estimation and uncertainty quantification.

Uncertainty Quantification Variable Selection

Nonparametric Bayesian inference for reversible multi-dimensional diffusions

no code implementations22 Dec 2020 Matteo Giordano, Kolyan Ray

We study nonparametric Bayesian models for reversible multi-dimensional diffusions with periodic drift.

Bayesian Inference Statistics Theory Numerical Analysis Numerical Analysis Probability Statistics Theory

Debiased Bayesian inference for average treatment effects

1 code implementation NeurIPS 2019 Kolyan Ray, Botond Szabo

Bayesian approaches have become increasingly popular in causal inference problems due to their conceptual simplicity, excellent performance and in-built uncertainty quantification ('posterior credible sets').

Bayesian Inference Causal Inference +2

Variational Bayes for high-dimensional linear regression with sparse priors

no code implementations15 Apr 2019 Kolyan Ray, Botond Szabo

We study a mean-field spike and slab variational Bayes (VB) approximation to Bayesian model selection priors in sparse high-dimensional linear regression.

Model Selection regression +3

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