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We propose a new approach to represent nonparametrically the linear dependence structure of a spatio-temporal process in terms of latent common factors. Though it is formally similar to the existing reduced rank approximation methods…

Methodology · Statistics 2018-03-20 Da Huang , Qiwei Yao , Rongmao Zhang

In this article, we review and compare a number of methods of spatial prediction. To demonstrate the breadth of available choices, we consider both traditional and more-recently-introduced spatial predictors. Specifically, in our exposition…

Methodology · Statistics 2014-10-29 Jonathan R. Bradley , Noel Cressie , Tao Shi

Stacking is a widely used model averaging technique that asymptotically yields optimal predictions among linear averages. We show that stacking is most effective when model predictive performance is heterogeneous in inputs, and we can…

Methodology · Statistics 2021-10-29 Yuling Yao , Gregor Pirš , Aki Vehtari , Andrew Gelman

Surrogate models provide a low computational cost alternative to evaluating expensive functions. The construction of accurate surrogate models with large numbers of independent variables is currently prohibitive because it requires a large…

Machine Learning · Computer Science 2017-08-10 Mohamed Amine Bouhlel , Joaquim R. R. A. Martins

The data torrent unleashed by current and upcoming astronomical surveys demands scalable analysis methods. Many machine learning approaches scale well, but separating the instrument measurement from the physical effects of interest, dealing…

Computation · Statistics 2023-04-19 Johannes Buchner

The problem of covariance estimation for replicated surface-valued processes is examined from the functional data analysis perspective. Considerations of statistical and computational efficiency often compel the use of separability of the…

Methodology · Statistics 2021-10-25 Tomas Masak , Victor M. Panaretos

Like with most large-scale systems, the evaluation of quantitative properties of collective adaptive systems is an important issue that crosscuts all its development stages, from design (in the case of engineered systems) to runtime…

Systems and Control · Computer Science 2016-07-12 Mirco Tribastone

The paper describes an application of Aggregating Algorithm to the problem of regression. It generalizes earlier results concerned with plain linear regression to kernel techniques and presents an on-line algorithm which performs nearly as…

Machine Learning · Computer Science 2012-07-19 Alex Gammerman , Yuri Kalnishkan , Vladimir Vovk

Additive spatial statistical models with weakly stationary process assumptions have become standard in spatial statistics. However, one disadvantage of such models is the computation time, which rapidly increases with the number of data…

Methodology · Statistics 2024-10-18 Sudipto Saha , Jonathan R. Bradley

Sparse methods are the standard approach to obtain interpretable models with high prediction accuracy. Alternatively, algorithmic ensemble methods can achieve higher prediction accuracy at the cost of loss of interpretability. However, the…

Methodology · Statistics 2022-01-11 Anthony Christidis , Stefan Van Aelst , Ruben Zamar

Learning can be seen as approximating an unknown function by interpolating the training data. Kriging offers a solution to this problem based on the prior specification of a kernel. We explore a numerical approximation approach to kernel…

Machine Learning · Statistics 2019-05-01 Houman Owhadi , Gene Ryan Yoo

This paper studies statistical aggregation procedures in regression setting. A motivating factor is the existence of many different methods of estimation, leading to possibly competing estimators. We consider here three different types of…

Statistics Theory · Mathematics 2007-06-13 Florentina Bunea , Alexandre Tsybakov , Marten Wegkamp

Large computer codes are widely used in engineering to study physical systems. Nevertheless, simulations can sometimes be time-consuming. In this case, an approximation of the code input/output relation is made using a metamodel. Actually,…

Statistics Theory · Mathematics 2012-06-01 Loic Le Gratiet

Graph-based clustering methods have demonstrated the effectiveness in various applications. Generally, existing graph-based clustering methods first construct a graph to represent the input data and then partition it to generate the…

Machine Learning · Computer Science 2019-12-17 Yuheng Jia , Hui Liu , Junhui Hou , Sam Kwong

In simulation, Median Polish Kriging is a technique used to predict unobserved data points in two-dimensional space. The linear behavior of the traditional Median Polish Kriging in the estimation of the mean function in a high grid makes…

Other Computer Science · Computer Science 2013-08-01 Firas Al Rekabi , Asim El Sheikh

Grid Computing is a type of parallel and distributed systems that is designed to provide reliable access to data and computational resources in wide area networks. These resources are distributed in different geographical locations, however…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-09-27 Sheida Dayyani , Mohammad Reza Khayyambashi

Clustering, a fundamental activity in unsupervised learning, is notoriously difficult when the feature space is high-dimensional. Fortunately, in many realistic scenarios, only a handful of features are relevant in distinguishing clusters.…

Machine Learning · Statistics 2020-10-23 Zhiyue Zhang , Kenneth Lange , Jason Xu

In many environmental applications involving spatially-referenced data, limitations on the number and locations of observations motivate the need for practical and efficient models for spatial interpolation, or kriging. A key component of…

Methodology · Statistics 2016-10-11 Mark D. Risser

The second-order, small-scale dependence structure of a stochastic process defined in the space-time domain is key to prediction (or kriging). While great efforts have been dedicated to developing models for cases in which the spatial…

Methodology · Statistics 2020-10-01 Jun Tang , Dale Zimmerman

This article investigates the performance of grid computing systems whose interconnections are given by random and scale-free complex network models. Regular networks, which are common in parallel computing architectures, are also used as a…

Statistical Mechanics · Physics 2009-11-10 Luciano da Fontoura Costa , Gonzalo Travieso , Carlos Antonio Ruggiero
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