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Quantification and minimization of uncertainty is an important task in the design of electromagnetic devices, which comes with high computational effort. We propose a hybrid approach combining the reliability and accuracy of a Monte Carlo…

机器学习 · 计算机科学 2022-04-12 Mona Fuhrländer , Sebastian Schöps

Gaussian process regression (GPR) is a non-parametric Bayesian technique for interpolating or fitting data. The main barrier to further uptake of this powerful tool rests in the computational costs associated with the matrices which arise…

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

Feature selection is an important and active research area in statistics and machine learning. The Elastic Net is often used to perform selection when the features present non-negligible collinearity or practitioners wish to incorporate…

机器学习 · 统计学 2020-06-09 Tobia Boschi , Matthew Reimherr , Francesca Chiaromonte

Network pruning is a widely used technique to reduce computation cost and model size for deep neural networks. However, the typical three-stage pipeline, i.e., training, pruning and retraining (fine-tuning) significantly increases the…

机器学习 · 计算机科学 2021-03-26 Deniz Gurevin , Shanglin Zhou , Lynn Pepin , Bingbing Li , Mikhail Bragin , Caiwen Ding , Fei Miao

Fast inference of numerical model parameters from data is an important prerequisite to generate predictive models for a wide range of applications. Use of sampling-based approaches such as Markov chain Monte Carlo may become intractable…

机器学习 · 计算机科学 2022-08-10 Yu Wang , Fang Liu , Daniele E. Schiavazzi

Despite the recent growth of theoretical studies and empirical successes of neural networks, gradient backpropagation is still the most widely used algorithm for training such networks. On the one hand, we have deterministic or full…

机器学习 · 计算机科学 2023-10-20 Pascal Junior Tikeng Notsawo

This paper presents a new hybrid model for predicting German electricity prices. The algorithm is based on a combination of Gaussian Process Regression (GPR) and Support Vector Regression (SVR). Although GPR is a competent model for…

机器学习 · 计算机科学 2025-08-01 Abhinav Das , Stephan Schlüter , Lorenz Schneider

In this paper an efficient and reliable method for stochastic yield estimation is presented. Since one main challenge of uncertainty quantification is the computational feasibility, we propose a hybrid approach where most of the Monte Carlo…

计算工程、金融与科学 · 计算机科学 2020-10-12 Mona Fuhrländer , Sebastian Schöps

Implicit Neural Representation for Videos (NeRV) has introduced a novel paradigm for video representation and compression, outperforming traditional codecs. As model size grows, however, slow encoding and decoding speed and high memory…

计算机视觉与模式识别 · 计算机科学 2025-03-07 Inseo Lee , Youngyoon Choi , Joonseok Lee

We introduce an ensemble learning method based on Gaussian Process Regression (GPR) for predicting conditional expected stock returns given stock-level and macro-economic information. Our ensemble learning approach significantly reduces the…

风险管理 · 定量金融 2026-03-10 Damir Filipović , Puneet Pasricha

Gaussian Process Regression (GPR) is a powerful tool for nonparametric regression, but its application in a fully Bayesian fashion in high-dimensional settings is hindered by two primary challenges: the difficulty of variable selection and…

统计方法学 · 统计学 2025-11-11 Peter Knaus

Gradient-enhanced Kriging (GE-Kriging) is a well-established surrogate modelling technique for approximating expensive computational models. However, it tends to get impractical for high-dimensional problems due to the size of the inherent…

机器学习 · 统计学 2024-01-05 Kai Cheng , Ralf Zimmermann

We formulate a reduced-order strategy for efficiently forecasting complex high-dimensional dynamical systems entirely based on data streams. The first step of our method involves reconstructing the dynamics in a reduced-order subspace of…

数据分析、统计与概率 · 物理学 2017-03-08 Zhong Yi Wan , Themistoklis P. Sapsis

In this work, we propose a multi-scale protocol for routine theoretical studies of chemical reaction mechanisms. The initial reaction paths of our investigated systems are sampled using the Nudged-Elastic Band (NEB) method driven by a cheap…

化学物理 · 物理学 2023-07-26 Tomislav Piskor , Peter Pinski , Thilo Mast , Vladimir V. Rybkin

The increasing use of stochastic models for describing complex phenomena warrants surrogate models that capture the reference model characteristics at a fraction of the computational cost, foregoing potentially expensive Monte Carlo…

机器学习 · 计算机科学 2024-06-10 Neil Kichler , Sher Afghan , Uwe Naumann

We study a sparse negative binomial regression (NBR) for count data by showing the non-asymptotic advantages of using the elastic-net estimator. Two types of oracle inequalities are derived for the NBR's elastic-net estimates by using the…

机器学习 · 统计学 2022-01-11 Huiming Zhang , Jinzhu Jia

In the whole aircraft structural optimization loop, thermal analysis plays a very important role. But it faces a severe computational burden when directly applying traditional numerical analysis tools, especially when each optimization…

机器学习 · 计算机科学 2022-03-17 Kairui Bao , Wen Yao , Xiaoya Zhang , Wei Peng , Yu Li

We propose a novel approach to computationally efficient GP training based on the observation that square-exponential (SE) covariance matrices contain several off-diagonal entries extremely close to zero. We construct a principled procedure…

机器学习 · 计算机科学 2026-01-28 Emily C. Ehrhardt , Felipe Tobar

Surrogate-assistance approaches have long been used in computationally expensive domains to improve the data-efficiency of optimization algorithms. Neuroevolution, however, has so far resisted the application of these techniques because it…

神经与进化计算 · 计算机科学 2018-04-18 Adam Gaier , Alexander Asteroth , Jean-Baptiste Mouret