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We propose a novel approach for performing convolution of signals on curved surfaces and show its utility in a variety of geometric deep learning applications. Key to our construction is the notion of directional functions defined on the…

图形学 · 计算机科学 2018-10-05 Adrien Poulenard , Maks Ovsjanikov

In this paper, we show that a revised convolutional recurrent neural network (CRNN) can decrease, by orders of magnitude, the time needed for the phase-resolved prediction of waves in a spatiotemporal domain of a nonlinear dispersive wave…

流体动力学 · 物理学 2020-08-04 Fazlolah Mohaghegh , Mohammad-Reza Alam , Jayathi Murthy

Inverse problems and, in particular, inferring unknown or latent parameters from data are ubiquitous in engineering simulations. A predominant viewpoint in identifying unknown parameters is Bayesian inference where both prior information…

统计计算 · 统计学 2022-08-31 Vahid Keshavarzzadeh , Robert M. Kirby , Akil Narayan

FWI seeks to achieve a high-resolution model of the subsurface through the application of multi-variate optimization to the seismic inverse problem. Although now a mature technology, FWI has limitations related to the choice of the…

地球物理 · 物理学 2025-02-26 Christopher Zerafa , Pauline Galea , Cristiana Sebu

We show that deep convolutional neural networks (CNN) can massively outperform traditional densely-connected neural networks (both deep or shallow) in predicting eigenvalue problems in mechanics. In this sense, we strike out in a new…

计算物理 · 物理学 2018-07-19 David Finol , Yan Lu , Vijay Mahadevan , Ankit Srivastava

Operational forecasting centers are investing in decadal (1-10 year) forecast systems to support long-term decision making for a more climate-resilient society. One method that has previously been employed is the Dynamic Mode Decomposition…

机器学习 · 计算机科学 2021-06-22 Eduardo Rodrigues , Bianca Zadrozny , Campbell Watson , David Gold

Radio-Frequency (RF) imaging concerns the digital recreation of the surfaces of scene objects based on the scattered field at distributed receivers. To solve this difficult inverse scattering problems, data-driven methods are often employed…

While deep neural networks are highly performant and successful in a wide range of real-world problems, estimating their predictive uncertainty remains a challenging task. To address this challenge, we propose and implement a loss function…

机器学习 · 计算机科学 2022-10-14 Tony Tohme , Kevin Vanslette , Kamal Youcef-Toumi

Estimating subsurface dielectric properties is essential for applications ranging from environmental surveys of soils to nondestructive evaluation of concrete in infrastructure. Conventional wave inversion methods typically assume few…

信号处理 · 电气工程与系统科学 2025-10-30 Ishfaq Aziz , Mohamad Alipour

Magnetic Resonance Imaging can produce detailed images of the anatomy and physiology of the human body that can assist doctors in diagnosing and treating pathologies such as tumours. However, MRI suffers from very long acquisition times…

图像与视频处理 · 电气工程与系统科学 2022-03-30 George Yiasemis , Jan-Jakob Sonke , Clarisa Sánchez , Jonas Teuwen

The application of deep learning techniques using convolutional neural networks to the classification of particle collisions in High Energy Physics is explored. An intuitive approach to transform physical variables, like momenta of…

计算机视觉与模式识别 · 计算机科学 2017-08-24 Celia Fernández Madrazo , Ignacio Heredia Cacha , Lara Lloret Iglesias , Jesús Marco de Lucas

In this paper, we propose a novel deep convolutional neural network (CNN)-based algorithm for solving ill-posed inverse problems. Regularized iterative algorithms have emerged as the standard approach to ill-posed inverse problems in the…

计算机视觉与模式识别 · 计算机科学 2018-09-11 Kyong Hwan Jin , Michael T. McCann , Emmanuel Froustey , Michael Unser

In this paper, we demonstrate a computationally efficient new approach based on deep learning (DL) techniques for analysis, design, and optimization of electromagnetic (EM) nanostructures. We use the strong correlation among features of a…

机器学习 · 计算机科学 2020-02-13 Yashar Kiarashinejad , Sajjad Abdollahramezani , Ali Adibi

Acoustic- and elastic-waveform inversion is an important and widely used method to reconstruct subsurface velocity image. Waveform inversion is a typical non-linear and ill-posed inverse problem. Existing physics-driven computational…

信号处理 · 电气工程与系统科学 2019-06-07 Zhongping Zhang , Youzuo Lin

Seismic data processing heavily relies on the solution of physics-driven inverse problems. In the presence of unfavourable data acquisition conditions (e.g., regular or irregular coarse sampling of sources and/or receivers), the underlying…

地球物理 · 物理学 2022-07-21 Matteo Ravasi

I demonstrate that the conventional seismic full-waveform inversion algorithm can be constructed as a recurrent neural network and so implemented using deep learning software such as TensorFlow. Applying another deep learning concept, the…

地球物理 · 物理学 2018-02-01 Alan Richardson

Seismic full-waveform inversion is a core technology for obtaining high-resolution subsurface model parameters. However, its highly nonlinear characteristics and strong dependence on the initial model often lead to the inversion process…

机器学习 · 计算机科学 2026-03-25 Caiyun Liu , Siyang Pei , Qingfeng Yu , Jie Xiong

Seismic datasets contain valuable information that originate from areas of interest in the subsurface; such seismic reflections are however inevitably contaminated by other events created by waves reverberating in the overburden.…

地球物理 · 物理学 2022-08-10 Matteo Ravasi , Tamil Selvan , Nick Luiken

State-of-the-art electron microscopes such as scanning electron microscopes (SEM), scanning transmission electron microscopes (STEM) and transmission electron microscopes (TEM) have become increasingly sophisticated. However, the quality of…

计算物理 · 物理学 2023-03-31 I. Lobato , T. Friedrich , S. Van Aert

Deep neural networks have dramatically advanced the state of the art for many areas of machine learning. Recently they have been shown to have a remarkable ability to generate highly complex visual artifacts such as images and text rather…

计算机视觉与模式识别 · 计算机科学 2016-07-08 Andrey Zhmoginov , Mark Sandler