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We introduce a novel class of Bayesian mixtures for normal linear regression models which incorporates a further Gaussian random component for the distribution of the predictor variables. The proposed cluster-weighted model aims to…

Methodology · Statistics 2026-05-26 Panagiotis Papastamoulis , Konstantinos Perrakis

Multivariate data occurs in a wide range of fields, with ever more flexible model specifications being proposed, often within a multivariate generalised linear mixed effects (MGLME) framework. In this article, we describe an extended…

Methodology · Statistics 2017-10-09 Michael J. Crowther

Data augmentation plays a pivotal role in enhancing and diversifying training data. Nonetheless, consistently improving model performance in varied learning scenarios, especially those with inherent data biases, remains challenging. To…

Machine Learning · Computer Science 2024-06-04 Xiaoling Zhou , Wei Ye , Zhemg Lee , Rui Xie , Shikun Zhang

Cross-study replicability is a powerful model evaluation criterion that emphasizes generalizability of predictions. When training cross-study replicable prediction models, it is critical to decide between merging and treating the studies…

Machine Learning · Statistics 2022-07-14 Cathy Shyr , Pragya Sur , Giovanni Parmigiani , Prasad Patil

This paper establishes a precise high-dimensional asymptotic theory for boosting on separable data, taking statistical and computational perspectives. We consider a high-dimensional setting where the number of features (weak learners) $p$…

Statistics Theory · Mathematics 2022-11-21 Tengyuan Liang , Pragya Sur

Selection of covariates is crucial in the estimation of average treatment effects given observational data with high or even ultra-high dimensional pretreatment variables. Existing methods for this problem typically assume sparse linear…

Methodology · Statistics 2023-03-20 Juan Chen , Yingchun Zhou

Small area models are mixed effects regression models that link the small areas and borrow strength from similar domains. When the auxiliary variables used in the models are measured with error, small area estimators that ignore the…

Methodology · Statistics 2018-10-23 Serena Arima , Silvia Polettini

We present a new algorithm for boosting generalized additive models for location, scale and shape (GAMLSS) that allows to incorporate stability selection, an increasingly popular way to obtain stable sets of covariates while controlling the…

Computation · Statistics 2017-05-16 Janek Thomas , Andreas Mayr , Bernd Bischl , Matthias Schmid , Adam Smith , Benjamin Hofner

A population-averaged additive subdistribution hazards model is proposed to assess the marginal effects of covariates on the cumulative incidence function and to analyze correlated failure time data subject to competing risks. This approach…

Methodology · Statistics 2023-08-23 Xinyuan Chen , Denise Esserman , Fan Li

We propose a novel boosting approach to multi-class classification problems, in which multiple classes are distinguished by a set of random projection matrices in essence. The approach uses random projections to alleviate the proliferation…

Machine Learning · Computer Science 2013-02-06 Sakrapee Paisitkriangkrai , Chunhua Shen , Qinfeng Shi , Anton van den Hengel

Many causal estimands are only partially identifiable since they depend on the unobservable joint distribution between potential outcomes. Stratification on pretreatment covariates can yield sharper bounds; however, unless the covariates…

Econometrics · Economics 2024-11-19 Wenlong Ji , Lihua Lei , Asher Spector

We prove that boosting with the squared error loss, $L_2$Boosting, is consistent for very high-dimensional linear models, where the number of predictor variables is allowed to grow essentially as fast as $O$(exp(sample size)), assuming that…

Statistics Theory · Mathematics 2016-08-16 Peter Bühlmann

Meta-analysis, because of both logistical convenience and statistical efficiency, is widely popular for synthesizing information on common parameters of interest across multiple studies. We propose developing a generalized meta-analysis…

Methodology · Statistics 2018-11-27 Prosenjit Kundu , Runlong Tang , Nilanjan Chatterjee

Score-based diffusion models provide a powerful way to model images using the gradient of the data distribution. Leveraging the learned score function as a prior, here we introduce a way to sample data from a conditional distribution given…

Image and Video Processing · Electrical Eng. & Systems 2022-07-19 Hyungjin Chung , Jong Chul Ye

We tackle modelling and inference for variable selection in regression problems with many predictors and many responses. We focus on detecting hotspots, i.e., predictors associated with several responses. Such a task is critical in…

In low-resource settings, prevalence mapping relies on empirical prevalence data from a finite, often spatially sparse, set of surveys of communities within the region of interest, possibly supplemented by remotely sensed images that can…

Applications · Statistics 2015-05-27 Peter J. Diggle , Emanuele Giorgi

In clinical settings, we often face the challenge of building prediction models based on small observational data sets. For example, such a data set might be from a medical center in a multi-center study. Differences between centers might…

Univariate or multivariate ordinal responses are often assumed to arise from a latent continuous parametric distribution, with covariate effects which enter linearly. We introduce a Bayesian nonparametric modeling approach for univariate…

Methodology · Statistics 2016-09-21 Maria DeYoreo , Athanasios Kottas

In this paper, we propose a general subgroup analysis framework based on semiparametric additive mixed effect models in longitudinal analysis, which can identify subgroups on each covariate and estimate the corresponding regression…

Methodology · Statistics 2021-12-02 Xiaolin Bo , Weiping Zhang

We propose a novel modeling framework to study the effect of covariates of various types on the conditional distribution of the response. The methodology accommodates flexible model structure, allows for joint estimation of the quantiles at…

Applications · Statistics 2019-05-31 So Young Park , Cai Li , Santa-Maria Mendoza , Eric van Heugten , Ana-Maria Staicu
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