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We consider the problem of constructing surrogate operators for parameter-to-solution maps arising from parametric partial differential equations, where repeated forward model evaluations are computationally expensive. We present a…

机器学习 · 计算机科学 2026-04-02 Josephine Westermann , Benno Huber , Thomas O'Leary-Roseberry , Jakob Zech

In complex large-scale systems such as climate, important effects are caused by a combination of confounding processes that are not fully observable. The identification of sources from observations of system state is vital for attribution…

机器学习 · 统计学 2023-03-22 Joseph Hart , Mamikon Gulian , Indu Manickam , Laura Swiler

The deformed energy method has shown to be a good option for dimensional synthesis of mechanisms. In this paper the introduction of some new features to such approach is proposed. First, constraints fixing dimensions of certain links are…

数值分析 · 数学 2024-02-09 V. Garcia-Marina , I. Fernandez de Bustos , G. Urkullu , R. Ansola

We address the problem of training models with black-box and hard-to-optimize metrics by expressing the metric as a monotonic function of a small number of easy-to-optimize surrogates. We pose the training problem as an optimization over a…

机器学习 · 计算机科学 2020-02-21 Qijia Jiang , Olaoluwa Adigun , Harikrishna Narasimhan , Mahdi Milani Fard , Maya Gupta

We propose a general framework for machine learning based optimization under uncertainty. Our approach replaces the complex forward model by a surrogate, which is learned simultaneously in a one-shot sense when solving the optimal control…

最优化与控制 · 数学 2023-12-25 Philipp A. Guth , Claudia Schillings , Simon Weissmann

Differential equations (DE) constrained optimization plays a critical role in numerous scientific and engineering fields, including energy systems, aerospace engineering, ecology, and finance, where optimal configurations or control…

机器学习 · 计算机科学 2024-10-03 Vincenzo Di Vito , Mostafa Mohammadian , Kyri Baker , Ferdinando Fioretto

Learning good representations without supervision is still an open issue in machine learning, and is particularly challenging for speech signals, which are often characterized by long sequences with a complex hierarchical structure. Some…

机器学习 · 计算机科学 2019-04-09 Santiago Pascual , Mirco Ravanelli , Joan Serrà , Antonio Bonafonte , Yoshua Bengio

Hyperparameter optimization is the process of identifying the appropriate hyperparameter configuration of a given machine learning model with regard to a given learning task. For smaller data sets, an exhaustive search is possible; However,…

机器学习 · 计算机科学 2022-09-30 Blaž Škrlj , Adi Schwartz , Jure Ferlež , Davorin Kopič , Naama Ziporin

Phase-field modeling is an effective but computationally expensive method for capturing the mesoscale morphological and microstructure evolution in materials. Hence, fast and generalizable surrogate models are needed to alleviate the cost…

The modeling and control of complex physical systems are essential in real-world problems. We propose a novel framework that is generally applicable to solving PDE-constrained optimal control problems by introducing surrogate models for PDE…

最优化与控制 · 数学 2023-12-27 Rakhoon Hwang , Jae Yong Lee , Jin Young Shin , Hyung Ju Hwang

We present an approach for constructing a surrogate from ensembles of information sources of varying cost and accuracy. The multifidelity surrogate encodes connections between information sources as a directed acyclic graph, and is trained…

机器学习 · 计算机科学 2021-08-25 Alex Gorodetsky , John D. Jakeman , Gianluca Geraci

Generating simulated training data needed for constructing sufficiently accurate surrogate models to be used for efficient optimization or parameter identification can incur a huge computational effort in the offline phase. We consider a…

数值分析 · 数学 2024-04-03 Phillip Semler , Martin Weiser

Surrogate strategies are used widely for uncertainty quantification of groundwater models in order to improve computational efficiency. However, their application to dynamic multiphase flow problems is hindered by the curse of…

机器学习 · 统计学 2019-05-02 Shaoxing Mo , Yinhao Zhu , Nicholas Zabaras , Xiaoqing Shi , Jichun Wu

Decision support systems often rely on solving complex optimization problems that may require to estimate uncertain parameters beforehand. Recent studies have shown how using traditionally trained estimators for this task can lead to…

机器学习 · 计算机科学 2025-12-19 Gaetano Signorelli , Michele Lombardi

Neural PDE surrogates are often deployed in data-limited or partially observed regimes where downstream decisions depend on calibrated uncertainty in addition to low prediction error. Existing approaches obtain uncertainty through ensemble…

机器学习 · 计算机科学 2026-02-12 Carlos Stein Brito

Specifying a governing physical model in the presence of missing physics and recovering its parameters are two intertwined and fundamental problems in science. Modern machine learning allows one to circumvent these, via emulators and…

机器学习 · 计算机科学 2020-06-30 Daniel J. Tait , Theodoros Damoulas

Inverse modeling for computing a high-dimensional spatially-varying property field from indirect sparse and noisy observations is a challenging problem. This is due to the complex physical system of interest often expressed in the form of…

计算物理 · 物理学 2021-02-22 Govinda Anantha Padmanabha , Nicholas Zabaras

Synthesizing physiologically-accurate human movement in a variety of conditions can help practitioners plan surgeries, design experiments, or prototype assistive devices in simulated environments, reducing time and costs and improving…

Self-supervised learning can significantly improve the performance of downstream tasks, however, the dimensions of learned representations normally lack explicit physical meanings. In this work, we propose a novel self-supervised approach…

音频与语音处理 · 电气工程与系统科学 2022-01-19 Yifan Sun , Xihong Wu

Recent progress in multi-modal conditioned face synthesis has enabled the creation of visually striking and accurately aligned facial images. Yet, current methods still face issues with scalability, limited flexibility, and a…

计算机视觉与模式识别 · 计算机科学 2024-03-22 Jingjing Ren , Cheng Xu , Haoyu Chen , Xinran Qin , Lei Zhu