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In this paper, we report a reimplementation of the core algorithms of relativistic coupled cluster theory aimed at modern heterogeneous high-performance computational infrastructures. The code is designed for efficient parallel execution on…

In this article we perform an asymptotic analysis of parallel Bayesian logspline density estimators. Such estimators are useful for the analysis of datasets that are partitioned into subsets and stored in separate databases without the…

统计理论 · 数学 2023-07-18 Konstandinos Kotsiopoulos , Alexey Miroshnikov , Erin Conlon

Gaussian process models are commonly used as emulators for computer experiments. However, developing a Gaussian process emulator can be computationally prohibitive when the number of experimental samples is even moderately large. Local…

统计方法学 · 统计学 2018-09-26 Chih-Li Sung , Robert B. Gramacy , Benjamin Haaland

Statistical analysis of max-stable processes used to model spatial extremes has been limited by the difficulty in calculating the joint likelihood function. This precludes all standard likelihood-based approaches, including Bayesian…

统计计算 · 统计学 2011-12-14 Robert J. Erhardt , Richard L. Smith

Renewable energy projects, such as large offshore wind farms, are critical to achieving low-emission targets set by governments. Stochastic computer models allow us to explore future scenarios to aid decision making whilst considering the…

统计方法学 · 统计学 2021-12-07 Jack C. Kennedy , Daniel A. Henderson , Kevin J. Wilson

Gaussian processes (GP) are Bayesian non-parametric models that are widely used for probabilistic regression. Unfortunately, it cannot scale well with large data nor perform real-time predictions due to its cubic time cost in the data size.…

机器学习 · 计算机科学 2014-08-12 Jie Chen , Nannan Cao , Kian Hsiang Low , Ruofei Ouyang , Colin Keng-Yan Tan , Patrick Jaillet

Gaussian processes (GP) are Bayesian non-parametric models that are widely used for probabilistic regression. Unfortunately, it cannot scale well with large data nor perform real-time predictions due to its cubic time cost in the data size.…

机器学习 · 统计学 2013-05-27 Jie Chen , Nannan Cao , Kian Hsiang Low , Ruofei Ouyang , Colin Keng-Yan Tan , Patrick Jaillet

The goal of ranking and selection (R&S) procedures is to identify the best stochastic system from among a finite set of competing alternatives. Such procedures require constructing estimates of each system's performance, which can be…

分布式、并行与集群计算 · 计算机科学 2015-06-17 Eric C. Ni , Dragos F. Ciocan , Shane G. Henderson , Susan R. Hunter

The R package rts2 provides data manipulation and model fitting tools for Log Gaussian Cox Process (LGCP) models. LGCP models are a key method for disease and other types of surveillance, and provide a means of predicting risk across an…

统计计算 · 统计学 2024-03-15 Samuel I Watson

Scalable surrogate models enable efficient emulation of computer models (or simulators), particularly when dealing with large ensembles of runs. While Gaussian process (GP) models are commonly employed for emulation, they face limitations…

统计方法学 · 统计学 2025-10-07 Grant Hutchings , Derek Bingham , Kellin Rumsey , Earl Lawrence

We present parallel algorithms and data structures for three fundamental operations in Numerical Linear Algebra: (i) Gaussian and CountSketch random projections and their combination, (ii) computation of the Gram matrix and (iii)…

数据结构与算法 · 计算机科学 2022-11-16 Aleksandros Sobczyk , Efstratios Gallopoulos

We discuss the statistical properties of a recently introduced unbiased stochastic approximation to the score equations for maximum likelihood calculation for Gaussian processes. Under certain conditions, including bounded condition number…

应用统计 · 统计学 2013-12-11 Michael L. Stein , Jie Chen , Mihai Anitescu

Gaussian processes (GPs) are a widely used regression tool, but the cubic complexity of exact solvers limits their scalability. To address this challenge, we extend the GPRat library by incorporating a fully GPU-resident GP prediction…

分布式、并行与集群计算 · 计算机科学 2026-02-24 Henrik Möllmann , Dirk Pflüger , Alexander Strack

Nonstationary non-Gaussian spatial data are common in many disciplines, including climate science, ecology, epidemiology, and social sciences. Examples include count data on disease incidence and binary satellite data on cloud mask…

统计计算 · 统计学 2020-11-30 Benjamin Seiyon Lee , Jaewoo Park

Datasets in the fields of climate and environment are often very large and irregularly spaced. To model such datasets, the widely used Gaussian process models in spatial statis- tics face tremendous challenges due to the prohibitive…

统计方法学 · 统计学 2016-05-31 Huang Huang , Ying Sun

It is shown how to set up, conduct, and analyze large simulation studies with the new R package simsalapar = simulations simplified and launched parallel. A simulation study typically starts with determining a collection of input variables…

统计计算 · 统计学 2013-09-18 Marius Hofert , Martin Mächler

We present a versatile GPU-based parallel version of Logistic Regression (LR), aiming to address the increasing demand for faster algorithms in binary classification due to large data sets. Our implementation is a direct translation of the…

机器学习 · 计算机科学 2023-08-22 Nechba Mohammed , Mouhajir Mohamed , Sedjari Yassine

Speeding up computationally expensive problems, such as numerical simulations of large micromagnetic systems, requires efficient use of parallel computing infrastructures. While parallelism across space is commonly exploited in…

Estimating multiple sparse Gaussian Graphical Models (sGGMs) jointly for many related tasks (large $K$) under a high-dimensional (large $p$) situation is an important task. Most previous studies for the joint estimation of multiple sGGMs…

机器学习 · 统计学 2018-03-21 Beilun Wang , Ji Gao , Yanjun Qi

This paper addresses the problem of parallelizing computations to study non-linear dynamics in large networks of non-locally coupled oscillators using heterogeneous computing resources. The proposed approach can be applied to a variety of…

混沌动力学 · 物理学 2025-07-04 Oleksandr Sudakov , Volodymyr Maistrenko