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Gaussian process emulators of computationally expensive computer codes provide fast statistical approximations to model physical processes. The training of these surrogates depends on the set of design points chosen to run the simulator.…

统计计算 · 统计学 2016-08-16 A. Garbuno-Inigo , F. A. DiazDelaO , K. M. Zuev

We address the problem of continual learning in multi-task Gaussian process (GP) models for handling sequential input-output observations. Our approach extends the existing prior-posterior recursion of online Bayesian inference, i.e.\ past…

机器学习 · 统计学 2019-11-04 Pablo Moreno-Muñoz , Antonio Artés-Rodríguez , Mauricio A. Álvarez

Machine learning algorithms frequently require careful tuning of model hyperparameters, regularization terms, and optimization parameters. Unfortunately, this tuning is often a "black art" that requires expert experience, unwritten rules of…

机器学习 · 统计学 2012-08-30 Jasper Snoek , Hugo Larochelle , Ryan P. Adams

Intelligent real-world systems critically depend on expressive information about their system state and changing operation conditions, e.g., due to variation in temperature, location, wear, or aging. To provide this information, online…

系统与控制 · 电气工程与系统科学 2024-09-17 Jan-Hendrik Ewering , Björn Volkmann , Simon F. G. Ehlers , Thomas Seel , Michael Meindl

Background: Inference from fMRI data faces the challenge that the hemodynamic system that relates neural activity to the observed BOLD fMRI signal is unknown. New Method: We propose a new Bayesian model for task fMRI data with the following…

应用统计 · 统计学 2020-06-01 Josef Wilzén , Anders Eklund , Mattias Villani

In this paper, we propose an active learning algorithm and models which can gradually learn individual's preference through pairwise comparisons. The active learning scheme aims at finding individual's most preferred choice with minimized…

机器学习 · 统计学 2018-05-07 Jie Yang , Diego Klabjan

Optimization of expensive computer models with the help of Gaussian process emulators in now commonplace. However, when several (competing) objectives are considered, choosing an appropriate sampling strategy remains an open question. We…

最优化与控制 · 数学 2013-10-03 Victor Picheny

A multifidelity method for the nonlinear propagation of uncertainties in the presence of stochastic accelerations is presented. The proposed algorithm treats the uncertainty propagation (UP) problem by separating the propagation of the…

数值分析 · 数学 2025-08-19 Alberto Fossà , Roberto Armellin , Emmanuel Delande , Francesco Sanfedino

We propose a new scalable multi-class Gaussian process classification approach building on a novel modified softmax likelihood function. The new likelihood has two benefits: it leads to well-calibrated uncertainty estimates and allows for…

机器学习 · 统计学 2019-05-24 Théo Galy-Fajou , Florian Wenzel , Christian Donner , Manfred Opper

Non-Gaussian observations such as binary responses are common in some computer experiments. Motivated by the analysis of a class of cell adhesion experiments, we introduce a generalized Gaussian process model for binary responses, which…

统计方法学 · 统计学 2018-09-26 Chih-Li Sung , Ying Hung , William Rittase , Cheng Zhu , C. F. Jeff Wu

Gaussian Processes (GPs) provide a convenient framework for specifying function-space priors, making them a natural choice for modeling uncertainty. In contrast, Bayesian Neural Networks (BNNs) offer greater scalability and extendability…

机器学习 · 计算机科学 2025-06-12 Marcin Sendera , Amin Sorkhei , Tomasz Kuśmierczyk

We develop an approach that benefits from large simulated datasets and takes full advantage of the limited online data that is most relevant. We propose a variant of Bayesian optimization that alternates between using informed and…

机器人学 · 计算机科学 2018-10-11 Rika Antonova , Mia Kokic , Johannes A. Stork , Danica Kragic

Multi-fidelity machine learning methods address the accuracy-efficiency trade-off by integrating scarce, resource-intensive high-fidelity data with abundant but less accurate low-fidelity data. We propose a practical multi-fidelity strategy…

机器学习 · 计算机科学 2025-03-26 Jiaxiang Yi , Ji Cheng , Miguel A. Bessa

The computational efficiency of approximate Bayesian computation (ABC) has been improved by using surrogate models such as Gaussian processes (GP). In one such promising framework the discrepancy between the simulated and observed data is…

机器学习 · 统计学 2020-08-07 Marko Järvenpää , Aki Vehtari , Pekka Marttinen

The performance of learning-based control techniques crucially depends on how effectively the system is explored. While most exploration techniques aim to achieve a globally accurate model, such approaches are generally unsuited for systems…

机器学习 · 计算机科学 2020-06-11 Alexandre Capone , Jonas Umlauft , Thomas Beckers , Armin Lederer , Sandra Hirche

A new algorithm is developed to tackle the issue of sampling non-Gaussian model parameter posterior probability distributions that arise from solutions to Bayesian inverse problems. The algorithm aims to mitigate some of the hurdles faced…

机器学习 · 统计学 2019-11-19 Leen Alawieh , Jonathan Goodman , John B. Bell

This paper proposes a computationally efficient algorithm for distributed fusion in a sensor network in which multi-Bernoulli (MB) filters are locally running in every sensor node for multi-target tracking. The generalized Covariance…

系统与控制 · 电气工程与系统科学 2020-02-19 Wei Yi , Suqi Li , Bailu Wang , Reza Hoseinnezhad , Lingjiang Kong

In this paper, we analyze a generic algorithm scheme for sequential global optimization using Gaussian processes. The upper bounds we derive on the cumulative regret for this generic algorithm improve by an exponential factor the previously…

机器学习 · 统计学 2015-06-09 Emile Contal , Vianney Perchet , Nicolas Vayatis

Running a reliability analysis on engineering problems involving complex numerical models can be computationally very expensive, requiring advanced simulation methods to reduce the overall numerical cost. Gaussian process based active…

Multitask Gaussian processes (MTGP) are the Gaussian process (GP) framework's solution for multioutput regression problems in which the $T$ elements of the regressors cannot be considered conditionally independent given the observations.…

机器学习 · 计算机科学 2022-08-26 Óscar García-Hinde , Vanessa Gómez-Verdejo , Manel Martínez-Ramón