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Gaussian process (GP) regression is a powerful interpolation technique due to its flexibility in capturing non-linearity. In this paper, we provide a general framework for understanding the frequentist coverage of point-wise and…

统计理论 · 数学 2017-08-17 Yun Yang , Anirban Bhattacharya , Debdeep Pati

In order to scale standard Gaussian process (GP) regression to large-scale datasets, aggregation models employ factorized training process and then combine predictions from distributed experts. The state-of-the-art aggregation models,…

机器学习 · 统计学 2018-06-05 Haitao Liu , Jianfei Cai , Yi Wang , Yew-Soon Ong

A nonparanormal graphical model is a semiparametric generalization of a Gaussian graphical model for continuous variables in which it is assumed that the variables follow a Gaussian graphical model only after some unknown smooth monotone…

统计方法学 · 统计学 2021-02-23 Jami J. Mulgrave , Subhashis Ghosal

We present the BayesBD package providing Bayesian inference for boundaries of noisy images. The BayesBD package implements flexible Gaussian process priors indexed by the circle to recover the boundary in a binary or Gaussian noised image,…

统计计算 · 统计学 2017-08-23 Nicholas Syring , Meng Li

robustloggamma is an R package for robust estimation and inference in the generalized loggamma model. We briefly introduce the model, the estimation procedures and the computational algorithms. Then, we illustrate the use of the package…

统计计算 · 统计学 2015-12-08 Claudio Agostinelli , Alfio Marazzi , Victor J. Yohai , Alex Randriamiharisoa

Estimating causal effects in quasi-experiments with spatio-temporal panel data often requires adjusting for unmeasured confounding that varies across space and time. Gaussian Processes (GPs) offer a flexible, nonparametric modeling approach…

统计方法学 · 统计学 2025-07-08 Sofia L. Vega , Rachel C. Nethery

With the ubiquitous availability of unstructured data, growing attention is paid as how to adjust for selection bias in such non-probability samples. The majority of the robust estimators proposed by prior literature are either fully or…

统计方法学 · 统计学 2022-04-08 Ali Rafei , Michael R. Elliott , Carol A. C. Flannagan

The declining response rates in probability surveys along with the widespread availability of unstructured data has led to growing research into non-probability samples. Existing robust approaches are not well-developed for non-Gaussian…

统计方法学 · 统计学 2022-03-29 Ali Rafei , Michael R. Elliott , Carol A. C. Flannagan

The package High-dimensional Metrics (\Rpackage{hdm}) is an evolving collection of statistical methods for estimation and quantification of uncertainty in high-dimensional approximately sparse models. It focuses on providing confidence…

机器学习 · 统计学 2017-09-28 Victor Chernozhukov , Chris Hansen , Martin Spindler

Gaussian processes (GPs) are a good choice for function approximation as they are flexible, robust to over-fitting, and provide well-calibrated predictive uncertainty. Deep Gaussian processes (DGPs) are multi-layer generalisations of GPs,…

机器学习 · 统计学 2017-11-15 Hugh Salimbeni , Marc Deisenroth

Gaussian processes (GPs) are nonparametric priors over functions. Fitting a GP implies computing a posterior distribution of functions consistent with the observed data. Similarly, deep Gaussian processes (DGPs) should allow us to compute a…

An important functional of Poisson random measure is the negative binomial process (NBP). We use NBP to introduce a generalized Poisson-Kingman distribution and its corresponding random discrete probability measure. This random discrete…

统计理论 · 数学 2023-07-04 Sadegh Chegini , Mahmoud Zarepour

Randomized benchmarking (RB) protocols are standard tools for characterizing quantum devices. Prior analyses of RB protocols have not provided a complete method for analyzing realistic data, resulting in a variety of ad-hoc methods. The…

量子物理 · 物理学 2018-02-02 Ian Hincks , Joel J. Wallman , Chris Ferrie , Chris Granade , David G. Cory

Belief Propagation (BP) is a message-passing algorithm for approximate inference over Probabilistic Graphical Models (PGMs), finding many applications such as computer vision, error-correcting codes, and protein-folding. While general, the…

分布式、并行与集群计算 · 计算机科学 2019-09-26 Mark Van der Merwe , Vinu Joseph , Ganesh Gopalakrishnan

A cloud scheduler packs tasks onto machines with contradictory goals of (1) using the machines as efficiently as possible while (2) avoiding overloading that might result in CPU throttling or out-of-memory errors. We take a stochastic…

分布式、并行与集群计算 · 计算机科学 2023-08-28 Tomasz Kanas , Krzysztof Rzadca

While Bayesian inference is the gold standard for uncertainty quantification and propagation, its use within physical chemistry encounters formidable computational barriers. These bottlenecks are magnified for modeling data with many…

化学物理 · 物理学 2024-12-24 B. L. Shanks , H. W. Sullivan , A. R. Shazed , M. P. Hoepfner

Generalized linear mixed models (GLMMs) are widely used in research for their ability to model correlated outcomes with non-Gaussian conditional distributions. The proper selection of fixed and random effects is a critical part of the…

统计计算 · 统计学 2024-04-18 Hillary M. Heiling , Naim U. Rashid , Quefeng Li , Joseph G. Ibrahim

Health policy decisions are often informed by estimates of long-term survival based primarily on short-term data. A range of methods are available to include longer-term information, but there has previously been no comprehensive and…

统计方法学 · 统计学 2025-05-05 Christopher Jackson

Real-life data are often non-IID due to complex distributions and interactions, and the sensitivity to the distribution of samples can differ among learning models. Accordingly, a key question for any supervised or unsupervised model is…

机器学习 · 计算机科学 2023-10-03 Zhilin Zhao , Longbing Cao

The Bergm package provides a comprehensive framework for Bayesian inference using Markov chain Monte Carlo (MCMC) algorithms. It can also supply graphical Bayesian goodness-of-fit procedures that address the issue of model adequacy. The…

统计计算 · 统计学 2017-03-28 Alberto Caimo , Nial Friel