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Gaussian Process (GP) emulators are widely used to approximate complex computer model behaviour across the input space. Motivated by the problem of coupling computer models, recently progress has been made in the theory of the analysis of…

应用统计 · 统计学 2022-04-20 Victoria Volodina , Nikki Sonenberg , Peter Challenor , Jim Q. Smith

Computer models or simulators are widely used across scientific fields, but are computationally expensive limiting their use to explore possible scenarios/outcomes. Gaussian process emulators are statistical surrogates that can rapidly…

统计计算 · 统计学 2025-08-27 Josh Seidman , Elaine T. Spiller

This paper addresses the classic problem of parameter estimation (PE) in multimachine power system models. Such models are typically described by a set of nonlinear differential-algebraic equations (DAE), where generator physics and network…

系统与控制 · 电气工程与系统科学 2026-04-20 Abdallah Alalem Albustami , Ahmad F. Taha , Sankaran Mahadevan

Gaussian Process (GP) models are often used as mathematical approximations of computationally expensive experiments. Provided that its kernel is suitably chosen and that enough data is available to obtain a reasonable fit of the simulator,…

机器学习 · 统计学 2011-03-22 Nicolas Durrande , David Ginsbourger , Olivier Roustant

Understanding the inner workings of complex machine learning models is a long-standing problem and most recent research has focused on local interpretability. To assess the role of individual input features in a global sense, we explore the…

机器学习 · 计算机科学 2020-10-28 Ian Covert , Scott Lundberg , Su-In Lee

Multi-task/Multi-output learning seeks to exploit correlation among tasks to enhance performance over learning or solving each task independently. In this paper, we investigate this problem in the context of Gaussian Processes (GPs) and…

机器学习 · 统计学 2018-05-10 Weitong Ruan , Eric L. Miller

Buildings rarely perform as designed/simulated and and there are numerous tangible benefits if this gap is reconciled. A new scientific yet pragmatic methodology - called Enhanced Parameter Estimation (EPE) - is proposed that allows…

系统与控制 · 电气工程与系统科学 2021-03-15 Kris Subbarao , Srijan Didwania , T. Agami Reddy , Marlin Addison

Traditional models of climate change use complex systems of coupled equations to simulate physical processes across the Earth system. These simulations are highly computationally expensive, limiting our predictions of climate change and…

Gaussian processes (GPs) are a class of Kernel methods that have shown to be very useful in geoscience and remote sensing applications for parameter retrieval, model inversion, and emulation. They are widely used because they are simple,…

机器学习 · 计算机科学 2020-05-21 J. Emmanuel Johnson , Valero Laparra , Gustau Camps-Valls

Gaussian processes provide a flexible framework for spatial prediction, but their computational cost limits applicability to large-scale data with large sample size $n$. Predictive processes (PPs), a popular low-rank approximation, mitigate…

统计方法学 · 统计学 2026-03-23 Nicolas Bianco , Nadja Klein

Belonging to the family of Bayesian nonparametrics, Gaussian process (GP) based approaches have well-documented merits not only in learning over a rich class of nonlinear functions, but also in quantifying the associated uncertainty.…

机器学习 · 统计学 2021-10-14 Qin Lu , Georgios V. Karanikolas , Georgios B. Giannakis

We introduce a Gaussian process model of functions which are additive. An additive function is one which decomposes into a sum of low-dimensional functions, each depending on only a subset of the input variables. Additive GPs generalize…

机器学习 · 统计学 2011-12-20 David Duvenaud , Hannes Nickisch , Carl Edward Rasmussen

Meteorological ensembles are a collection of scenarios for future weather delivered by a meteorological center. Such ensembles form the main source of valuable information for probabilistic forecasting which aims at producing a predictive…

应用统计 · 统计学 2019-03-07 Marie Courbariaux , Pierre Barbillon , Luc Perreault , Éric Parent

We propose a new method for simplification of Gaussian process (GP) models by projecting the information contained in the full encompassing model and selecting a reduced number of variables based on their predictive relevance. Our results…

统计方法学 · 统计学 2017-12-18 Juho Piironen , Aki Vehtari

Gaussian process regression is a machine learning approach which has been shown its power for estimation of unknown functions. However, Gaussian processes suffer from high computational complexity, as in a basic form they scale cubically…

机器学习 · 统计学 2018-09-10 Danil Kuzin , Le Yang , Olga Isupova , Lyudmila Mihaylova

Ensemble forecasting is a technique devised to palliate sensitivity to initial conditions in nonlinear dynamical systems. The basic idea to avoid this sensitivity is to run the model many times under several slightly-different initial…

大气与海洋物理 · 物理学 2015-06-26 F J Tapiador , R Verdejo

Many collective systems exist in nature far from equilibrium, ranging from cellular sheets up to flocks of birds. These systems reflect a form of active matter, whereby individual material components have internal energy. Under specific…

软凝聚态物质 · 物理学 2023-04-17 Namid R. Stillman , Silke Henkes , Roberto Mayor , Gilles Louppe

Multi-model ensemble analysis integrates information from multiple climate models into a unified projection. However, existing integration approaches based on model averaging can dilute fine-scale spatial information and incur bias from…

应用统计 · 统计学 2023-04-12 Trevor Harris , Bo Li , Ryan Sriver

We address the problem of robot guided assembly tasks, by using a learning-based approach to identify contact model parameters for known and novel parts. First, a Variational Autoencoder (VAE) is used to extract geometric features of…

机器人学 · 计算机科学 2024-12-12 Constantin Schempp , Christian Friedrich

Recent scientific advances require complex experiment design, necessitating the meticulous tuning of many experiment parameters. Tree-structured Parzen estimator (TPE) is a widely used Bayesian optimization method in recent parameter tuning…

机器学习 · 计算机科学 2025-10-01 Shuhei Watanabe
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