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Gaussian processes~(Kriging) are interpolating data-driven models that are frequently applied in various disciplines. Often, Gaussian processes are trained on datasets and are subsequently embedded as surrogate models in optimization…

Gaussian Process (GP) models are a class of flexible non-parametric models that have rich representational power. By using a Gaussian process with additive structure, complex responses can be modelled whilst retaining interpretability.…

机器学习 · 统计学 2022-06-22 Xiaoyu Lu , Alexis Boukouvalas , James Hensman

The high simulation cost has been a bottleneck of practical analog/mixed-signal design automation. Many learning-based algorithms require thousands of simulated data points, which is impractical for expensive to simulate circuits. We…

机器学习 · 计算机科学 2023-11-30 Ahmet F. Budak , Keren Zhu , David Z. Pan

Optimization of problems with high computational power demands is a challenging task. A probabilistic approach to such optimization called Bayesian optimization lowers performance demands by solving mathematically simpler model of the…

机器学习 · 计算机科学 2021-01-27 Jakub Klus , Pavel Grunt , Martin Dobrovolný

Fitting a theoretical model to experimental data in a Bayesian manner using Markov chain Monte Carlo typically requires one to evaluate the model thousands (or millions) of times. When the model is a slow-to-compute physics simulation,…

机器学习 · 统计学 2022-08-25 Steven Stetzler , Michael Grosskopf , Earl Lawrence

Bayesian optimization (BO) is a widely-used method for optimizing expensive (to evaluate) problems. At the core of most BO methods is the modeling of the objective function using a Gaussian Process (GP) whose covariance is selected from a…

Some response surface functions in complex engineering systems are usually highly nonlinear, unformed, and expensive-to-evaluate. To tackle this challenge, Bayesian optimization, which conducts sequential design via a posterior distribution…

机器学习 · 统计学 2021-09-23 Areej AlBahar , Inyoung Kim , Xiaowei Yue

Identifying dynamical system (DS) is a vital task in science and engineering. Traditional methods require numerous calls to the DS solver, rendering likelihood-based or least-squares inference frameworks impractical. For efficient parameter…

统计计算 · 统计学 2024-09-19 Ying Zhou , Jinglai Li , Xiang Zhou , Hongqiao Wang

We present a Gaussian kernel loss function and training algorithm for convolutional neural networks that can be directly applied to both distance metric learning and image classification problems. Our method treats all training features…

计算机视觉与模式识别 · 计算机科学 2018-07-03 Benjamin J. Meyer , Ben Harwood , Tom Drummond

Systems based on artificial neural networks (ANNs) have achieved state-of-the-art results in many natural language processing tasks. Although ANNs do not require manually engineered features, ANNs have many hyperparameters to be optimized.…

计算与语言 · 计算机科学 2016-09-29 Franck Dernoncourt , Ji Young Lee

With the significant advancement in quantum computation in the past couple of decades, the exploration of machine-learning subroutines using quantum strategies has become increasingly popular. Gaussian process regression is a widely used…

量子物理 · 物理学 2018-03-07 Siddhartha Das , George Siopsis , Christian Weedbrook

Bayesian probabilistic numerical methods for numerical integration offer significant advantages over their non-Bayesian counterparts: they can encode prior information about the integrand, and can quantify uncertainty over estimates of an…

机器学习 · 统计学 2023-09-12 Katharina Ott , Michael Tiemann , Philipp Hennig , François-Xavier Briol

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

Gaussian process regression is a popular Bayesian framework for surrogate modeling of expensive data sources. As part of a broader effort in scientific machine learning, many recent works have incorporated physical constraints or other a…

机器学习 · 计算机科学 2021-01-07 Laura Swiler , Mamikon Gulian , Ari Frankel , Cosmin Safta , John Jakeman

Kernel-based methods have been recently introduced for linear system identification as an alternative to parametric prediction error methods. Adopting the Bayesian perspective, the impulse response is modeled as a non-stationary Gaussian…

最优化与控制 · 数学 2017-03-16 Mattia Zorzi , Alessandro Chiuso

In computational physics, machine learning has now emerged as a powerful complementary tool to explore efficiently candidate designs in engineering studies. Outputs in such supervised problems are signals defined on meshes, and a natural…

机器学习 · 统计学 2025-03-11 Raphaël Carpintero Perez , Sébastien da Veiga , Josselin Garnier , Brian Staber

Bayesian neural networks attempt to combine the strong predictive performance of neural networks with formal quantification of uncertainty associated with the predictive output in the Bayesian framework. However, it remains unclear how to…

机器学习 · 统计学 2022-01-12 Takuo Matsubara , Chris J. Oates , François-Xavier Briol

Additive Gaussian Processes (GPs) are popular approaches for nonparametric feature selection. The common training method for these models is Bayesian Back-fitting. However, the convergence rate of Back-fitting in training additive GPs is…

机器学习 · 统计学 2024-04-02 Lu Zou , Liang Ding

Sensor-based sorting systems enable the physical separation of a material stream into two fractions. The sorting decision is based on the image data evaluation of the sensors used and is carried out using actuators. Various process…

机器学习 · 计算机科学 2025-10-24 Felix Kronenwett , Georg Maier , Thomas Längle

Surrogate models have become ubiquitous in science and engineering for their capability of emulating expensive computer codes, necessary to model and investigate complex phenomena. Bayesian emulators based on Gaussian processes adequately…

统计计算 · 统计学 2017-08-02 A. Garbuno-Inigo , F. A. DiazDelaO , K. M. Zuev