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Gaussian Conditional Random Fields (GCRF), as a structured regression model, is designed to achieve higher regression accuracy than unstructured predictors at the expense of execution time, taking into account the objects similarities and…

Machine Learning · Computer Science 2019-09-04 Milan Bašić , Branko Arsić , Zoran Obradović

For geospatial modelling and mapping tasks, variants of kriging - the spatial interpolation technique developed by South African mining engineer Danie Krige - have long been regarded as the established geostatistical methods. However,…

Machine Learning · Statistics 2020-09-10 Charlie Kirkwood , Theo Economou , Nicolas Pugeault

Power grid expansion planning requires making large investment decisions in the present that will impact the future cost and reliability of a system exposed to wide-ranging uncertainties. Extreme temperatures can pose significant challenges…

Optimization and Control · Mathematics 2024-05-30 Ramsey Rossmann , Mihai Anitescu , Julie Bessac , Michael Ferris , Mitchell Krock , James Luedtke , Line Roald

Large-scale kernel approximation is an important problem in machine learning research. Approaches using random Fourier features have become increasingly popular [Rahimi and Recht, 2007], where kernel approximation is treated as empirical…

Machine Learning · Computer Science 2017-05-25 Wei-Cheng Chang , Chun-Liang Li , Yiming Yang , Barnabas Poczos

Spatio-temporal kriging is an important problem in web and social applications, such as Web or Internet of Things, where things (e.g., sensors) connected into a web often come with spatial and temporal properties. It aims to infer knowledge…

Machine Learning · Computer Science 2023-02-07 Chuanpan Zheng , Xiaoliang Fan , Cheng Wang , Jianzhong Qi , Chaochao Chen , Longbiao Chen

A meta-model of the input-output data of a computationally expensive simulation is often employed for prediction, optimization, or sensitivity analysis purposes. Fitting is enabled by a designed experiment, and for computationally expensive…

Methodology · Statistics 2023-12-01 Andrew Gill , David J. Warne , Antony M. Overstall , Clare McGrory , James M. McGree

Multi-fidelity Kriging model is a promising technique in surrogate-based design as it can balance the model accuracy and cost of sample preparation by fusing low- and high-fidelity data. However, the cost for building a multi-fidelity…

Machine Learning · Computer Science 2023-01-03 Youwei He , Jinliang Luo

Computing an ensemble of random fields using conditional simulation is an ideal method for retrieving accurate estimates of a field conditioned on available data and for quantifying the uncertainty of these realizations. Methods for…

Methodology · Statistics 2021-11-11 Maggie D. Bailey , Soutir Bandyopadhyay , Douglas W. Nychka

Machine learning has gained widespread attention as a powerful tool to identify structure in complex, high-dimensional data. However, these techniques are ostensibly inapplicable for experimental systems where data is scarce or expensive to…

Since the mid 1990s, grid computing systems have emerged as an analogy for making computing power as pervasive an easily accessible as an electric power grid. Since then, grid computing systems have been shown to be able to provide very…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-01-29 Marco Guazzone

Randomized experiments are considered the gold standard for estimating causal effects. However, out of the set of possible randomized assignments, some may be likely to produce poor effect estimates and misleading conclusions. Restricted…

Methodology · Statistics 2025-08-28 Maggie Wang , René F. Kizilcec , Michael Baiocchi

Kernel methods, particularly kernel ridge regression (KRR), are time-proven, powerful nonparametric regression techniques known for their rich capacity, analytical simplicity, and computational tractability. The analysis of their predictive…

Statistics Theory · Mathematics 2025-09-23 Xin Bing , Xin He , Chao Wang

Motivated by the need for efficient estimation of conditional expectations, we consider a least-squares function approximation problem with heavily polluted data. Existing methods that are effective in the small-noise regime are suboptimal…

Machine Learning · Statistics 2026-05-26 Ben Adcock , Bernhard Hientzsch , Akil Narayan , Yiming Xu

Treeging combines the flexible mean structure of regression trees with the covariance-based prediction strategy of kriging into the base learner of an ensemble prediction algorithm. In so doing, it combines the strengths of the two primary…

Machine Learning · Statistics 2021-10-05 Gregory L. Watson , Michael Jerrett , Colleen E. Reid , Donatello Telesca

An explicit optimal linear spatial predictor is derived. The spatial correlations are imposed by means of Gibbs energy functionals with explicit coupling coefficients instead of covariance matrices. The model inference process is based on…

Data Analysis, Statistics and Probability · Physics 2007-05-23 D. T. Hristopulos , S. N. Elogne

We initiate a systematic study of utilizing predictions to improve over approximation guarantees of classic algorithms, without increasing the running time. We propose a systematic method for a wide class of optimization problems that ask…

Data Structures and Algorithms · Computer Science 2024-11-26 Antonios Antoniadis , Marek Eliáš , Adam Polak , Moritz Venzin

Despite the stride made by machine learning (ML) based performance modeling, two major concerns that may impede production-ready ML applications in EDA are stringent accuracy requirements and generalization capability. To this end, we…

Machine Learning · Computer Science 2022-10-21 Nan Wu , Jiwon Lee , Yuan Xie , Cong Hao

It is now common practice in nuclear engineering to base extensive studies on numerical computer models. These studies require to run computer codes in potentially thousands of numerical configurations and without expert individual controls…

Computation · Statistics 2015-11-11 François Bachoc , Jean-Marc Martinez , Karim Ammar

Computational modeling of the manufacturing process of Lithium-Ion Battery (LIB) composite electrodes based on mechanistic approaches, allows predicting the influence of manufacturing parameters on electrode properties. However, ensuring…

How can we model networks with a mathematically tractable model that allows for rigorous analysis of network properties? Networks exhibit a long list of surprising properties: heavy tails for the degree distribution; small diameters; and…

Machine Learning · Statistics 2009-08-22 Jure Leskovec , Deepayan Chakrabarti , Jon Kleinberg , Christos Faloutsos , Zoubin Ghahramani
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