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Recent progresses in artificial intelligence and machine learning make it possible to automatically identify seismic phases from exponentially growing seismic data. Despite some exciting successes in automatic picking of the first P- and…

Geophysics · Physics 2022-05-11 Wen Ding , Tianjue Li , Xu Yang , Kui Ren , Ping Tong

We apply Fourier neural operators (FNOs), a state-of-the-art operator learning technique, to forecast the temporal evolution of experimentally measured velocity fields. FNOs are a recently developed machine learning method capable of…

Fluid Dynamics · Physics 2023-01-23 Peter I Renn , Cong Wang , Sahin Lale , Zongyi Li , Anima Anandkumar , Morteza Gharib

Flexible intelligent metasurfaces (FIMs) offer a new solution for wireless communications by introducing morphological degrees of freedom, dynamically morphing their three-dimensional shape to ensure multipath signals interfere…

Information Theory · Computer Science 2026-04-08 Jian Xiao , Ji Wang , Qimei Cui , Yucang Yang , Xingwang Li , Dusit Niyato , Chau Yuen

The identification of local modules in dynamic networks with known topology has recently been addressed by formulating conditions for arriving at consistent estimates of the module dynamics, under the assumption of having disturbances that…

Systems and Control · Electrical Eng. & Systems 2020-11-03 Karthik R. Ramaswamy , Paul M. J. Van den Hof

Echo state networks (ESNs) are a powerful form of reservoir computing that only require training of linear output weights whilst the internal reservoir is formed of fixed randomly connected neurons. With a correctly scaled connectivity…

Machine Learning · Computer Science 2021-08-03 Luca Manneschi , Matthew O. A. Ellis , Guido Gigante , Andrew C. Lin , Paolo Del Giudice , Eleni Vasilaki

StorSeismic is a recently introduced model based on the Transformer to adapt to various seismic processing tasks through its pretraining and fine-tuning training strategy. In the original implementation, StorSeismic utilized a sinusoidal…

Geophysics · Physics 2023-08-10 Randy Harsuko , Tariq Alkhalifah

Seismic phase association is the task of grouping phase arrival picks across a seismic network into subsets with common origins. Building on recent successes in this area with machine learning tools, we introduce a neural mixture model…

Geophysics · Physics 2023-01-09 Zachary E. Ross , Weiqiang Zhu , Kamyar Azizzadenesheli

Surgical phase recognition is crucial to providing surgery understanding in smart operating rooms. Despite great progress in automatic surgical phase recognition, most existing methods are still restricted by two problems. First, these…

Computer Vision and Pattern Recognition · Computer Science 2023-11-17 Xingjian Luo , You Pang , Zhen Chen , Jinlin Wu , Zongmin Zhang , Zhen Lei , Hongbin Liu

In classical approaches of dynamic network identification, in order to identify a system (module) embedded in a dynamic network, one has to formulate a Multi-input-Single-output (MISO) identification problem that requires identification of…

Systems and Control · Electrical Eng. & Systems 2021-05-25 Karthik R. Ramaswamy , Péter Zoltán Csurcsia , Johan Schoukens , Paul M. J. Van den Hof

Radiologists often mix medical image reading strategies, including inspection of individual modalities and local image regions, using information at different locations from different images independently as well as concurrently. In this…

Computer Vision and Pattern Recognition · Computer Science 2026-01-09 Xiangcen Wu , Shaheer U. Saeed , Yipei Wang , Ester Bonmati Coll , Yipeng Hu

We consider a power transmission system monitored with Phasor Measurement Units (PMUs) placed at significant, but not all, nodes of the system. Assuming that a sufficient number of distinct single-line faults, specifically pre-fault state…

Machine Learning · Statistics 2021-04-08 Andrei Afonin , Michael Chertkov

FNO and DeepONet are by far the most popular neural operator learning algorithms. FNO seems to enjoy an edge in popularity due to its ease of use, especially with high dimensional data. However, a lesser-acknowledged feature of DeepONet is…

Computational Physics · Physics 2024-01-02 Waleed Diab , Mohammed Al-Kobaisi

Neural operator models for solving partial differential equations (PDEs) often rely on global mixing mechanisms-such as spectral convolutions or attention-which tend to oversmooth sharp local dynamics and introduce high computational cost.…

Machine Learning · Computer Science 2025-10-01 Chun-Wun Cheng , Bin Dong , Carola-Bibiane Schönlieb , Angelica I Aviles-Rivero

Phase estimation protocols provide a fundamental benchmark for the field of quantum metrology. The latter represents one of the most relevant applications of quantum theory, potentially enabling the capability of measuring unknown physical…

Partial Differential Equation (PDE) problems often exhibit strong local spatial structures, and effectively capturing these structures is critical for approximating their solutions. Recently, the Fourier Neural Operator (FNO) has emerged as…

Machine Learning · Computer Science 2025-06-05 Chaoyu Liu , Davide Murari , Lihao Liu , Yangming Li , Chris Budd , Carola-Bibiane Schönlieb

Artificial intelligence (AI) shows great potential to reduce the huge cost of solving partial differential equations (PDEs). However, it is not fully realized in practice as neural networks are defined and trained on fixed domains and…

Machine Learning · Computer Science 2025-04-16 Hongyu Li , Ximeng Ye , Peng Jiang , Guoliang Qin , Tiejun Wang

Multiphase flow simulation is critical in science and engineering but incurs high computational costs due to complex field discontinuities and the need for high-resolution numerical meshes. While Neural Operators (NOs) offer an efficient…

Fluid Dynamics · Physics 2025-12-04 Zhenzhong Wang , Xin Zhang , Jun Liao , Min Jiang

Neural operators are a new type of models that can map between function spaces, allowing trained models to emulate the solution operators of partial differential equations (PDEs). This paper proposes a multigrid Fourier neural operator…

Numerical Analysis · Mathematics 2025-05-22 Zi-Hao Guo , Hou-Biao Li

Frequency estimation is a fundamental problem in signal processing, with applications in radar imaging, underwater acoustics, seismic imaging, and spectroscopy. The goal is to estimate the frequency of each component in a multisinusoidal…

Machine Learning · Computer Science 2021-02-04 Gautier Izacard , Sreyas Mohan , Carlos Fernandez-Granda

Fourier Neural Operators (FNOs) have proven to be an efficient and effective method for resolution-independent operator learning in a broad variety of application areas across scientific machine learning. A key reason for their success is…

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