Updated: July 5th, 2023 19:45

2020 journal article

Bayesian Inference in Nonparanormal Graphical Models

*BAYESIAN ANALYSIS*, *15*(2), 449–475.

author keywords: Bayesian inference; nonparanormal; Gaussian graphical models; sparsity; continuous shrinkage prior

TL;DR:
A Bayesian approach is considered in the nonparanormal graphical model by putting priors on the unknown transformations through a random series based on B-splines where the coefficients are ordered to induce monotonicity and presents a posterior consistency result on the underlying transformation and the precision matrix.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: June 1, 2020

2020 journal article

Contraction properties of shrinkage priors in logistic regression

*JOURNAL OF STATISTICAL PLANNING AND INFERENCE*, *207*, 215–229.

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: March 23, 2020

2020 journal article

EMPIRICAL BAYES ORACLE UNCERTAINTY QUANTIFICATION FOR REGRESSION

*ANNALS OF STATISTICS*, *48*(6), 3113–3137.

author keywords: Credible ball; coverage; empirical Bayes; excessive bias restriction; oracle rate

TL;DR:
It is shown that an empirical Bayes posterior contracts at the optimal rate at all parameters and leads to uniform size-optimal credible balls with guaranteed coverage under an “excessive bias restriction” condition.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: January 4, 2021

2020 article

Preface of the Special Issue in Honor of Professor Jayanta Kumar Ghosh

Ghosal, S. (2020, March 3). *SANKHYA-SERIES A-MATHEMATICAL STATISTICS AND PROBABILITY*.

Source: Web Of Science

Added: March 23, 2020

2019 journal article

BAYESIAN MODELING OF THE STRUCTURAL CONNECTOME FOR STUDYING ALZHEIMER'S DISEASE

*ANNALS OF APPLIED STATISTICS*, *13*(3), 1791–1816.

author keywords: ADNI; B-spline prior; brain image; connectome; graphical model; Graphon; HMC

TL;DR:
The proposed Bayesian method overwhelmingly outperforms similar ANCOVA models in the simulation setup and is applied on a dataset of 100 subjects and 83 brain regions and key regions implicated in the changing connectome are identified.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: November 4, 2019

2019 journal article

Bayesian Method for Causal Inference in Spatially-Correlated Multivariate Time Series

*BAYESIAN ANALYSIS*, *14*(1), 1–28.

author keywords: advertising campaign; Bayesian variable selection; causal inference; graphical model; stationarity; time series

TL;DR:
A new causal inference method that uses a Bayesian multivariate time series model to capture the spatial correlation between stores and is able to detect smaller scale of causal impact as measurement errors are automatically filtered out in the causal analysis compared to a commonly used method.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: April 2, 2019

2019 journal article

Bayesian Semiparametric ROC surface estimation under verification bias

*Computational Statistics & Data Analysis*, *133*, 40–52.

author keywords: ROC surface; Verification bias correction; Trinormal model; MAR assumption

TL;DR:
A Bayesian approach for estimating the ROC surface is proposed based on continuous data under a semi-parametric trinormality assumption and is applied to evaluate the performance of CA125 and HE4 in the diagnosis of epithelial ovarian cancer (EOC) as a demonstration.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

5. Gender Equality
(Web of Science)

Sources: Web Of Science, Crossref

Added: March 25, 2019

2019 journal article

Bayesian mode and maximum estimation and accelerated rates of contraction

*BERNOULLI*, *25*(3), 2330–2358.

author keywords: anisotropic Holder space; credible set; maximum value; mode; nonparametric regression; posterior contraction; sequential; tensor-product B-splines; two-stage

TL;DR:
This work proposes a Bayesian two-stage estimation procedure, where a second stage posterior is built based on samples collected within a credible set constructed from a first stage posterior, and can accelerate optimal contraction rates from the fixed-in-advanced setting to the minimax sequential rates.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: July 1, 2019

2019 journal article

Bayesian nonparametric estimation of ROC surface under verification bias

*STATISTICS IN MEDICINE*, *38*(18), 3361–3377.

author keywords: Bayesian bootstrap; Dirichlet process; MAR assumption; ROC surface; verification bias correction

MeSH headings : Bayes Theorem; Bias; Biomarkers, Tumor / blood; Biostatistics; CA-125 Antigen / blood; Carcinoma, Hepatocellular / blood; Carcinoma, Ovarian Epithelial / blood; Carcinoma, Ovarian Epithelial / diagnosis; Computer Simulation; Diagnostic Tests, Routine / statistics & numerical data; Female; Humans; Liver Neoplasms / blood; Male; Membrane Proteins / blood; Models, Statistical; Ovarian Neoplasms / blood; Ovarian Neoplasms / diagnosis; Prognosis; ROC Curve; Serum Albumin, Human; Statistics, Nonparametric; WAP Four-Disulfide Core Domain Protein 2 / metabolism

TL;DR:
A Bayesian nonparametric approach is adopted by directly modeling the underlying distributions of the three categories by Dirichlet process mixture priors and it is found that the proposed method generally outperforms other approaches.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

5. Gender Equality
(Web of Science)

10. Reduced Inequalities
(OpenAlex)

Source: Web Of Science

Added: July 29, 2019

2019 journal article

Multivariate Gaussian network structure learning

*Journal of Statistical Planning and Inference*, *199*, 327–342.

author keywords: Graphical model; Group penalty; Multivariate normal; Rate of convergence

TL;DR:
This work considers a graphical model where a multivariate normal vector is associated with each node of the underlying graph and estimates the graphical structure and shows the superiority of the proposed method over comparable procedures.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Sources: Web Of Science, Crossref

Added: November 5, 2018

2018 journal article

Bayesian Discriminant Analysis Using a High Dimensional Predictor

*Sankhya A*, *80*(S1), 112–145.

author keywords: Discriminant analysis; High dimensional predictor; Posterior concentration; Shrinkage prior; Sparsity

TL;DR:
This work considers the problem of Bayesian discriminant analysis using a high dimensional predictor and obtains the contraction rate of the posterior distribution for the mean and the precision matrix respectively using the Euclidean and the Frobenius distance.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

10. Reduced Inequalities
(OpenAlex)

Sources: Web Of Science, Crossref

Added: July 15, 2019

2018 journal article

Bayesian classification of multiclass functional data

*ELECTRONIC JOURNAL OF STATISTICS*, *12*(2), 4669–4696.

author keywords: Multiclass functional data; multinomial probit models; B-splines; posterior contraction rate; discriminant analysis

TL;DR:
A Bayesian approach to estimating parameters in multiclass functional models is proposed and Bayesian linear and quadratic discriminant analyses on the multivariate data obtained by applying a functional principal component technique on the original functional data are considered.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

10. Reduced Inequalities
(OpenAlex)

Source: Web Of Science

Added: March 25, 2019

2017 journal article

Analyzing ozone concentration by Bayesian spatio-temporal quantile regression

*Environmetrics*, *28*(4).

Source: NC State University Libraries

Added: August 6, 2018

2017 journal article

BAYESIAN DETECTION OF IMAGE BOUNDARIES

*ANNALS OF STATISTICS*, *45*(5), 2190–2217.

author keywords: Boundary detection; Gaussian process on sphere; image; posterior contraction rate; random series; squared exponential periodic kernel; Bayesian adaptation

TL;DR:
A nonparametric Bayesian approach based on priors indexed by d - 1, the unit sphere in $\mathbb{R}^d$ that achieves four goals of guaranteed geometric restriction, (nearly) minimax rate optimal and adaptive to the smoothness level, convenient for joint inference and computationally efficient.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2017 journal article

Bayesian Estimation of Principal Components for Functional Data

*BAYESIAN ANALYSIS*, *12*(2), 311–333.

author keywords: principal components; covariance estimation; functional data

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2017 journal article

Bayesian inference for higher-order ordinary differential equation models

*Journal of Multivariate Analysis*, *157*, 103–114.

Source: NC State University Libraries

Added: August 6, 2018

2017 journal article

Bayesian quantile regression using random B-spline series prior

*Computational Statistics & Data Analysis*, *109*, 121–143.

Source: NC State University Libraries

Added: August 6, 2018

2017 journal article

Efficient Bayesian estimation and uncertainty quantification in ordinary differential equation models

*Bernoulli*, *23*(4B), 3537–3570.

Source: NC State University Libraries

Added: August 6, 2018

2017 journal article

Posterior contraction rates of density derivative estimation

*Sankhya-Series A-Mathematical Statistics and Probability*, *79*(2), 336–354.

Source: NC State University Libraries

Added: August 6, 2018

2016 journal article

Adaptive Bayesian density regression for high-dimensional data

*Bernoulli*, *22*(1), 396–420.

Source: NC State University Libraries

Added: August 6, 2018

2016 journal article

Bayesian Clustering of Functional Data Using Local Features

*BAYESIAN ANALYSIS*, *11*(1), 71–98.

author keywords: Dirichlet process prior; wavelets; exploratory analysis

TL;DR:
This work clusters each signal coecient using conditionally independent Dirichlet process priors, which leads to exact match- ing of local features, represented by coecients in a multiresolution wavelet basis.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2016 journal article

Editorial overview: Special issue on Bayesian nonparametrics. Subhashis Ghosal Guest editor of the special issue on Bayesian nonparametrics

*Electronic Journal of Statistics*, *10*(2), 3217–3218.

Source: NC State University Libraries

Added: August 6, 2018

2016 journal article

Forward selection and estimation in high dimensional single index models

*Statistical Methodology*, *33*, 172–179.

author keywords: Forward selection; High dimension; Sparsity; Single index model; Penalization; Variable selection

TL;DR:
A new penalized forward selection technique which can reduce highdimensional optimization problems to several one dimensional optimization problems by choosing the best predictor and then iterating the selection steps until convergence is proposed.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Sources: Web Of Science, Crossref

Added: August 6, 2018

2016 journal article

Sparse penalized forward selection for support vector classification

*Journal of Computational and Graphical Statistics*, *25*(2), 493–514.

Source: NC State University Libraries

Added: August 6, 2018

2016 journal article

Supremum norm posterior contraction and credible sets for nonparametric multivariate regression

*Annals of Statistics*, *44*(3), 1069–1102.

Source: NC State University Libraries

Added: August 6, 2018

2015 journal article

Adaptive Bayesian procedures using random series priors

*Scandinavian Journal of Statistics: Theory and Applications*, *42*(4), 1194–1213.

Source: NC State University Libraries

Added: August 6, 2018

2015 journal article

Bayesian structure learning in graphical models

*Journal of Multivariate Analysis*, *136*, 147–162.

Source: NC State University Libraries

Added: August 6, 2018

2015 journal article

Discussion of "Frequentist coverage of adaptive nonparametric Bayesian credible sets"

*Annals of Statistics*, *43*(4), 1455–1462.

Source: NC State University Libraries

Added: August 6, 2018

2015 journal article

Fast translation invariant multiscale image denoising

*IEEE Transactions on Image Processing*, *24*(12), 4876–4887.

Source: NC State University Libraries

Added: August 6, 2018

2015 journal article

Prediction consistency of forward iterated regression and selection technique

*Statistics & Probability Letters*, *107*, 79–83.

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Sources: Web Of Science, Crossref

Added: August 6, 2018

2015 journal article

Special issue on Bayesian nonparametrics

*Journal of Statistical Planning and Inference*, *166*, 1–1.

Source: NC State University Libraries

Added: August 6, 2018

2014 journal article

Bayesian Multiscale Smoothing of Gaussian Noised Images

*BAYESIAN ANALYSIS*, *9*(3), 733–758.

author keywords: Chinese Restaurant Process; MCMC-free computation; 3-dimensional image

TL;DR:
Simulations on Shepp-Logan phantom and Lena test images show that the proposed smoothing method is comparable with the best available methods for light noise and outperforms them for heavier noise both visually and numerically.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2014 journal article

Bayesian ROC curve estimation under verification bias

*Statistics in Medicine*, *33*(29), 5081–5096.

Source: NC State University Libraries

Added: August 6, 2018

2014 journal article

Fast Bayesian model assessment for nonparametric additive regression

*Computational Statistics & Data Analysis*, *71*, 347–358.

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Sources: Web Of Science, Crossref

Added: August 6, 2018

2014 journal article

Posterior convergence rates for estimating large precision matrices using graphical models

*Electronic Journal of Statistics*, *8*, 2111–2137.

Source: NC State University Libraries

Added: August 6, 2018

2013 journal article

Adaptive Bayesian multivariate density estimation with Dirichlet mixtures

*Biometrika*, *100*(3), 623–640.

Source: NC State University Libraries

Added: August 6, 2018

2013 journal article

Denoising three-dimensional and colored images using a Bayesian multi-scale model for photon counts

*Signal Processing*, *93*(11), 2906–2914.

Source: NC State University Libraries

Added: August 6, 2018

2012 journal article

Optimal two-stage procedures for estimating location and size of the maximum of a multivariate regression function

*Annals of Statistics*, *40*(6), 2850–2876.

Source: NC State University Libraries

Added: August 6, 2018

2011 journal article

Bayesian smoothing of photon-limited images with applications in astronomy

*Journal of the Royal Statistical Society. Series B, Statistical Methodology*, *73*, 579–599.

Source: NC State University Libraries

Added: August 6, 2018

2011 journal article

Identifiability of the proportion of null hypotheses in skew-mixture models for the p-value distribution

*Electronic Journal of Statistics*, *5*, 329–341.

Source: NC State University Libraries

Added: August 6, 2018

2011 journal article

Predicting false discovery proportion under dependence

*Journal of the American Statistical Association*, *106*(495), 1208–1218.

Source: NC State University Libraries

Added: August 6, 2018

2010 journal article

Reference priors for exponential families with increasing dimension

*Electronic Journal of Statistics*, *4*, 737–780.

Source: NC State University Libraries

Added: August 6, 2018

2010 journal article

The L-1-consistency of Dirichlet mixtures in multivariate Bayesian density estimation

*Journal of Multivariate Analysis*, *101*(10), 2411–2419.

Source: NC State University Libraries

Added: August 6, 2018

2009 journal article

Bayesian ROC curve estimation under binormality using a rank likelihood

*Journal of Statistical Planning and Inference*, *139*(6), 2076–2083.

Source: NC State University Libraries

Added: August 6, 2018

2009 conference paper

Bayesian nonparametric approach to multiple testing

*Perspectives in mathematical sciences i: probability and statistics*, *7*, 139–164.

Source: NC State University Libraries

Added: August 6, 2018

2009 journal article

Convergence properties of sequential Bayesian D-optimal designs

*Journal of Statistical Planning and Inference*, *139*(2), 425–440.

author keywords: Adaptive designs; Asymptotic normality; Discrete optimal design; Dose-response; Posterior convergence

TL;DR:
For sequential D-optimality under a general nonlinear location-scale model for binary experiments, posterior consistency, consistency of the design measure, and the asymptotic normality of posterior following the design are established.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

2. Zero Hunger
(Web of Science)

Sources: Web Of Science, Crossref

Added: August 6, 2018

2009 journal article

FIRST: Combining forward iterative selection and shrinkage in high dimensional sparse linear regression

*Statistics and Its Interface*, *2*(3), 341–348.

Source: NC State University Libraries

Added: August 6, 2018

2008 journal article

Bayesian bootstrap estimation of ROC curve

*Statistics in Medicine*, *27*(26), 5407–5420.

author keywords: area under the curve (AUC); Bayesian bootstrap; integrated absolute error; ROC Curve; testing binormality

MeSH headings : Bayes Theorem; Computer Simulation; Data Interpretation, Statistical; Diagnostic Tests, Routine / methods; Humans; Models, Statistical; Predictive Value of Tests; Prognosis; ROC Curve; Research Design; Software; Statistics, Nonparametric

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

5. Gender Equality
(Web of Science)

10. Reduced Inequalities
(OpenAlex)

Sources: Web Of Science, Crossref

Added: August 6, 2018

2008 journal article

Strong approximations for resample quantile processes and application to ROC methodology

*Journal of Nonparametric Statistics*, *20*(3), 229–240.

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Sources: Web Of Science, Crossref

Added: August 6, 2018

2007 journal article

A consistent nonparametric Bayesian procedure for estimating autoregressive conditional densities

*Computational Statistics & Data Analysis*, *51*(9), 4424–4437.

author keywords: Dirichlet process mixture models; posterior consistency; no-gaps algorithm

TL;DR:
A Bayesian infinite mixture model for the estimation of the conditional density of an ergodic time series that can approximate any linear autoregressive model arbitrarily closely while imposing no constraint on parameters to ensure stationarity is proposed.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Sources: Web Of Science, Crossref

Added: August 6, 2018

2007 journal article

Convergence rates of posterior distributions for noniid observations

*ANNALS OF STATISTICS*, *35*(1), 192–223.

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2007 journal article

Nonparametric Bayesian estimation of positive false discovery rates

*BIOMETRICS*, *63*(4), 1126–1134.

author keywords: Dirichlet mixture; Dirichlet process; Markov chain Monte Carlo; multiple testing; positive false discovery rate; posterior estimates

MeSH headings : Algorithms; Artificial Intelligence; Bayes Theorem; Computer Simulation; Data Interpretation, Statistical; Diagnosis, Computer-Assisted / methods; False Positive Reactions; Humans; Leukemia / diagnosis; Models, Biological; Models, Statistical; Pattern Recognition, Automated / methods

TL;DR:
The DPMM allows for posterior estimates of quantities such as the proportion of true null hypothesis and the probability of rejection of a single hypothesis and a Markov chain Monte Carlo algorithm for computing the posterior and the posterior estimates is described.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2007 journal article

Posterior consistency of Dirichlet mixtures for estimating a transition density

*Journal of Statistical Planning and Inference*, *137*(6), 1711–1726.

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Sources: Web Of Science, Crossref

Added: August 6, 2018

2007 journal article

Posterior convergence rates of dirichlet mixtures at smooth densities

*ANNALS OF STATISTICS*, *35*(2), 697–723.

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2006 journal article

Posterior consistency of Gaussian process prior for nonparametric binary regression

*ANNALS OF STATISTICS*, *34*(5), 2413–2429.

author keywords: binary regression; Gaussian process; Karhunen-Loeve expansion; maximal inequality; posterior consistency; reproducing kernel Hilbert space

TL;DR:
If the covariance kernel has derivatives up to a desired order and the bandwidth parameter of the kernel is allowed to take arbitrarily small values, it is shown that the posterior distribution is consistent in the L 1 -distance.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2004 journal article

Bayesian estimation of the spectral density of a time series

*JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION*, *99*(468), 1050–1059.

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2004 journal article

Contiguity of the Whittle measure for a Gaussian time series

*BIOMETRIKA*, *91*(1), 211–218.

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2003 journal article

Adaptive Bayesian inference on the mean of an infinite-dimensional normal distribution

*Annals of Statistics*, *31*(2), 536–559.

Source: NC State University Libraries

Added: August 6, 2018

2003 journal article

On Bayesian adaptation

*ACTA APPLICANDAE MATHEMATICAE*, *79*(1-2), 165–175.

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

14. Life Below Water
(OpenAlex)

Source: Web Of Science

Added: August 6, 2018

2003 journal article

Posterior consistency for semi-parametric regression problems

*BERNOULLI*, *9*(2), 291–312.

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

1999 journal article

Asymptotic normality of posterior distributions in high-dimensional linear models

*BERNOULLI*, *5*(2), 315–331.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(OpenAlex)

Source: Web Of Science

Added: August 6, 2018

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