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相关论文: Cost-effective Reduced-Order Modeling via Bayesian…

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Bayesian experimental design (BED) is a principled framework for data-efficient design of sequential experiments. However, existing BED methods are unable to adapt to dynamic constraints inherent in real-world tasks due to budget…

机器学习 · 统计学 2026-05-27 Yujia Guo , Daolang Huang , Xinyu Zhang , Sammie Katt , Samuel Kaski , Ayush Bharti

Bayesian Optimization (BO) is a popular approach to optimizing expensive-to-evaluate black-box functions. Despite the success of BO, its performance may decrease exponentially as the dimensionality increases. A common framework to tackle…

机器学习 · 计算机科学 2024-12-24 Quoc-Anh Hoang Nguyen , The Hung Tran

Adjustable hyperparameters of machine learning models typically impact various key trade-offs such as accuracy, fairness, robustness, or inference cost. Our goal in this paper is to find a configuration that adheres to user-specified limits…

机器学习 · 计算机科学 2023-12-05 Bracha Laufer-Goldshtein , Adam Fisch , Regina Barzilay , Tommi Jaakkola

Solving optimal control problems for transport-dominated partial differential equations (PDEs) can become computationally expensive, especially when dealing with high-dimensional systems. To overcome this challenge, we focus on developing…

最优化与控制 · 数学 2026-03-31 Tobias Breiten , Shubhaditya Burela , Philipp Schulze

Bayesian optimization (BO) is a widely-used sequential method for zeroth-order optimization of complex and expensive-to-compute black-box functions. The existing BO methods assume that the function evaluation (feedback) is available to the…

机器学习 · 计算机科学 2022-06-22 Arun Verma , Zhongxiang Dai , Bryan Kian Hsiang Low

Advanced Manufacturing (AM) has gained significant interest in the nuclear community for its potential application on nuclear materials. One challenge is to obtain desired material properties via controlling the manufacturing process during…

机器学习 · 统计学 2023-08-21 Mahmoud Yaseen , Dewen Yushu , Peter German , Xu Wu

Dimension reduction is a fundamental tool for analyzing high-dimensional data in supervised learning. Traditional methods for estimating intrinsic order often prioritize model-specific structural assumptions over predictive utility. This…

统计方法学 · 统计学 2026-01-16 Yue Yu , Guanghui Wang , Liu Liu , Changliang Zou

Modern systems that rely on Machine Learning (ML) for predictive modelling, may suffer from the cold-start problem: supervised models work well but, initially, there are no labels, which are costly or slow to obtain. This problem is even…

We propose an online learning framework for forecasting nonlinear spatio-temporal signals (fields). The method integrates (i) dimensionality reduction, here, a simple proper orthogonal decomposition (POD) projection; (ii) a generalized…

机器学习 · 计算机科学 2025-07-29 Andrea Nóvoa , Luca Magri

The proper orthogonal decomposition (POD) is a powerful classical tool in fluid mechanics used, for instance, for model reduction and extraction of coherent flow features. However, its applicability to high-resolution data, as produced by…

流体动力学 · 物理学 2020-11-11 Philipp Krah , Thomas Engels , Kai Schneider , Julius Reiss

Quadrupedal locomotion is a complex, open-ended problem vital to expanding autonomous vehicle reach. Traditional reinforcement learning approaches often fall short due to training instability and sample inefficiency. We propose a novel…

机器人学 · 计算机科学 2024-11-14 Martin Robert , Simon Brodeur , Francois Ferland

Deep learning-based reduced order models (DL-ROMs) have been recently proposed to overcome common limitations shared by conventional ROMs - built, e.g., exclusively through proper orthogonal decomposition (POD) - when applied to nonlinear…

数值分析 · 数学 2022-01-26 Federico Fatone , Stefania Fresca , Andrea Manzoni

Computational models in fields such as computational neuroscience are often evaluated via stochastic simulation or numerical approximation. Fitting these models implies a difficult optimization problem over complex, possibly noisy parameter…

机器学习 · 统计学 2017-11-03 Luigi Acerbi , Wei Ji Ma

Active learning is a promising paradigm to reduce the labeling cost by strategically requesting labels to improve model performance. However, existing active learning methods often rely on expensive acquisition function to compute,…

机器学习 · 计算机科学 2023-10-27 Zixin Ding , Si Chen , Ruoxi Jia , Yuxin Chen

We investigate the sensitivity of reduced order models (ROMs) to training data resolution as well as sampling rate. In particular, we consider proper orthogonal decomposition (POD), coupled with Galerkin projection (POD-GP), as an intrusive…

流体动力学 · 物理学 2020-07-15 Shady E. Ahmed , Omer San , Diana A. Bistrian , Ionel M. Navon

Partial differential equations (PDE) often involve parameters, such as viscosity or density. An analysis of the PDE may involve considering a large range of parameter values, as occurs in uncertainty quantification, control and…

数值分析 · 数学 2017-09-28 Max Gunzburger , Nan Jiang , Michael Schneier

This paper proposes a supervised machine learning framework for the non-intrusive model order reduction of unsteady fluid flows to provide accurate predictions of non-stationary state variables when the control parameter values vary. Our…

流体动力学 · 物理学 2019-06-26 Omer San , Romit Maulik , Mansoor Ahmed

Kinetic equations are crucial for modeling non-equilibrium phenomena, but their computational complexity is a challenge. This paper presents a data-driven approach using reduced order models (ROM) to efficiently model non-equilibrium flows…

流体动力学 · 物理学 2023-10-09 Julian Koellermeier , Philipp Krah , Julius Reiss , Zachary Schellin

Tuning control policies manually to meet high-level objectives is often time-consuming. Bayesian optimization provides a data-efficient framework for automating this process using numerical evaluations of an objective function. However,…

机器学习 · 计算机科学 2026-03-26 Lukas Theiner , Maik Pfefferkorn , Yongpeng Zhao , Sebastian Hirt , Rolf Findeisen

Several fundamental problems in science and engineering consist of global optimization tasks involving unknown high-dimensional (black-box) functions that map a set of controllable variables to the outcomes of an expensive experiment.…

机器学习 · 计算机科学 2023-09-15 Mohamed Aziz Bhouri , Michael Joly , Robert Yu , Soumalya Sarkar , Paris Perdikaris