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相关论文: Transfer Learning on Multi-Fidelity Data

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Transfer learning is widely used to adapt large pretrained models to new tasks with only a small amount of new data. However, a challenge persists -- the features from the original task often do not fully cover what is needed for unseen…

机器学习 · 计算机科学 2026-02-10 Xingyu Alice Yang , Jianyu Zhang , Léon Bottou

Recently, outstanding identification rates in image classification tasks were achieved by convolutional neural networks (CNNs). to use such skills, selective CNNs trained on a dataset of well-known images of metal surface defects captured…

计算机视觉与模式识别 · 计算机科学 2024-06-24 Nadeem Jabbar Chaudhry , M. Bilal Khan , M. Javaid Iqbal , Siddiqui Muhammad Yasir

Standard deep neural networks (DNNs) are commonly trained in an end-to-end fashion for specific tasks such as object recognition, face identification, or character recognition, among many examples. This specificity often leads to…

计算机视觉与模式识别 · 计算机科学 2020-07-14 Raphaël Achddou , J. Matias di Martino , Guillermo Sapiro

Convolutional Neural Networks (CNNs) have proven to be highly effective in solving a broad spectrum of computer vision tasks, such as classification, identification, and segmentation. These methods can be deployed in both centralized and…

This paper deals with surrogate modelling of a computer code output in a hierarchical multi-fidelity context, i.e., when the output can be evaluated at different levels of accuracy and computational cost. Using observations of the output at…

统计理论 · 数学 2023-12-06 Baptiste Kerleguer , Claire Cannamela , Josselin Garnier

Neural networks can be used as surrogates for PDE models. They can be made physics-aware by penalizing underlying equations or the conservation of physical properties in the loss function during training. Current approaches allow to…

机器学习 · 计算机科学 2022-07-01 Raphael Leiteritz , Patrick Buchfink , Bernard Haasdonk , Dirk Pflüger

We propose a non-intrusive method to build surrogate models that approximate the solution of parameterized partial differential equations (PDEs), capable of taking into account the dependence of the solution on the shape of the…

数值分析 · 数学 2024-09-20 Linying Zhang , Stefano Pagani , Jun Zhang , Francesco Regazzoni

A Hyperspectral image contains much more number of channels as compared to a RGB image, hence containing more information about entities within the image. The convolutional neural network (CNN) and the Multi-Layer Perceptron (MLP) have been…

计算机视觉与模式识别 · 计算机科学 2023-04-11 Uphar Singh , Kumar Saurabh , Neelaksh Trehan , Ranjana Vyas , O. P. Vyas

We present a probabilistic deep learning methodology that enables the construction of predictive data-driven surrogates for stochastic systems. Leveraging recent advances in variational inference with implicit distributions, we put forth a…

机器学习 · 统计学 2019-01-16 Yibo Yang , Paris Perdikaris

Generative adversarial network (GAN) has been shown to be useful in various applications, such as image recognition, text processing and scientific computing, due its strong ability to learn complex data distributions. In this study, a…

地球物理 · 物理学 2021-09-14 Tianhao He , Dongxiao Zhang

Verification of Neural Networks (NNs) that approximate the solution of Partial Differential Equations (PDEs) is a major milestone towards enhancing their trustworthiness and accelerating their deployment, especially for safety-critical…

系统与控制 · 电气工程与系统科学 2024-02-13 Petros Ellinas , Rahul Nellikath , Ignasi Ventura , Jochen Stiasny , Spyros Chatzivasileiadis

Training convolutional neural networks (CNNs) on high-resolution images is often bottlenecked by the cost of evaluating gradients of the loss on the finest spatial mesh. To address this, we propose Multiscale Gradient Estimation (MGE), a…

机器学习 · 计算机科学 2026-03-03 Shadab Ahamed , Niloufar Zakariaei , Eldad Haber , Moshe Eliasof

The data-driven discovery of partial differential equations (PDEs) consistent with spatiotemporal data is experiencing a rebirth in machine learning research. Training deep neural networks to learn such data-driven partial differential…

The reliability of atomistic simulations depends on the quality of the underlying energy models providing the source of physical information, for instance for the calculation of migration barriers in atomistic Kinetic Monte Carlo…

Scaling laws describe how model performance grows with data, parameters and compute. While large datasets can usually be collected at relatively low cost in domains such as language or vision, scientific machine learning is often limited by…

机器学习 · 计算机科学 2025-11-04 Paul Setinek , Gianluca Galletti , Johannes Brandstetter

Recently, surrogate models based on deep learning have attracted much attention for engineering analysis and optimization. As the construction of data pairs in most engineering problems is time-consuming, data acquisition is becoming the…

机器学习 · 计算机科学 2021-09-28 Xiaoyu Zhao , Zhiqiang Gong , Yunyang Zhang , Wen Yao , Xiaoqian Chen

Bayesian Neural Networks (BNNs) offer a principled and natural framework for proper uncertainty quantification in the context of deep learning. They address the typical challenges associated with conventional deep learning methods, such as…

统计计算 · 统计学 2024-11-13 Zahra Moslemi , Yang Meng , Shiwei Lan , Babak Shahbaba

Multi-fidelity Monte Carlo methods leverage low-fidelity and surrogate models for variance reduction to make tractable uncertainty quantification even when numerically simulating the physical systems of interest with high-fidelity models is…

We propose a framework for training neural networks that are coupled with partial differential equations (PDEs) in a parallel computing environment. Unlike most distributed computing frameworks for deep neural networks, our focus is to…

分布式、并行与集群计算 · 计算机科学 2020-11-25 Kailai Xu , Weiqiang Zhu , Eric Darve

Neural networks with randomly generated hidden weights (RaNNs) have been extensively studied, both as a standalone learning method and as an initialization for fully trainable deep learning methods. In this work, we study RaNN expressivity…

数值分析 · 数学 2026-05-26 Muhammed Ali Mehmood , Lukas Gonon