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Related papers: Physics-Aware Neural Operators for Direct Inversio…

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Biomedical photoacoustic tomography, which can provide high resolution 3D soft tissue images based on the optical absorption, has advanced to the stage at which translation from the laboratory to clinical settings is becoming possible. The…

Image and Video Processing · Electrical Eng. & Systems 2020-11-20 Andreas Hauptmann , Ben Cox

Deep learning-based methods have revolutionized the field of imaging inverse problems, yielding state-of-the-art performance across various imaging domains. The best performing networks incorporate the imaging operator within the network…

Computer Vision and Pattern Recognition · Computer Science 2026-01-06 Romain Vo , Julián Tachella

Noninvasive X-ray imaging of nanoscale three-dimensional objects, e.g. integrated circuits (ICs), generally requires two types of scanning: ptychographic, which is translational and returns estimates of complex electromagnetic field through…

Image and Video Processing · Electrical Eng. & Systems 2024-08-15 Iksung Kang , Ziling Wu , Yi Jiang , Yudong Yao , Junjing Deng , Jeffrey Klug , Stefan Vogt , George Barbastathis

In this paper, we propose physics-informed neural operators (PINO) that combine training data and physics constraints to learn the solution operator of a given family of parametric Partial Differential Equations (PDE). PINO is the first…

Photoacoustic Tomography (PAT) is an emerging biomedical "imaging from coupled physics" technique, in which the image contrast is due to optical absorption, but the information is carried to the surface of the tissue as ultrasound pulses.…

Numerical Analysis · Mathematics 2016-11-03 Simon R. Arridge , Marta M. Betcke , Ben T. Cox , Felix Lucka , Brad E. Treeby

This work is concerned with the following fundamental question in scientific machine learning: Can deep-learning-based methods solve noise-free inverse problems to near-perfect accuracy? Positive evidence is provided for the first time,…

Image and Video Processing · Electrical Eng. & Systems 2022-07-13 Martin Genzel , Ingo Gühring , Jan Macdonald , Maximilian März

Neural operators have emerged as powerful data-driven solvers for PDEs, offering substantial acceleration over classical numerical methods. However, existing transformer-based operators still face critical challenges when modeling PDEs on…

Artificial Intelligence · Computer Science 2026-05-12 Chun-Wun Cheng , Sifan Wang , Carola-Bibiane Schönlieb , Angelica I. Aviles-Rivero

Photoacoustic tomography (PAT) offers high optical contrast with acoustic imaging depth, making it essential for biomedical applications. While many all-optical systems have been developed to address limitations of ultrasound transducers,…

Optics · Physics 2024-10-11 Taeil Yoon , Hakseok Ko , Jeongmyo Im , Euiheon Chung , Wonshik Choi , Byeong Ha Lee

Ptychographic imaging confronts inherent challenges in applying deep learning for phase retrieval from diffraction patterns. Conventional neural architectures, both convolutional neural networks and Transformer-based methods, are optimized…

3D photoacoustic tomography (3D-PAT) using high-frequency hemispherical transducers offers near-omnidirectional reception and enhanced sensitivity to the finer structural details encoded in the high-frequency components of the broadband…

Image and Video Processing · Electrical Eng. & Systems 2025-07-29 I Gede Eka Sulistyawan , Takuro Ishii , Riku Suzuki , Yoshifumi Saijo

Neural operators effectively solve PDE problems from data without knowing the explicit equations, which learn the map from the input sequences of observed samples to the predicted values. Most existing works build the model in the original…

Machine Learning · Computer Science 2024-12-23 Tian Wang , Chuang Wang

Neural Operators offer a powerful, data-driven tool for solving parametric PDEs as they can represent maps between infinite-dimensional function spaces. In this work, we employ physics-informed Neural Operators in the context of…

Machine Learning · Statistics 2023-03-08 Sebastian Kaltenbach , Paris Perdikaris , Phaedon-Stelios Koutsourelakis

Photoacoustic tomography (PAT) is a hybrid medical imaging technique that offer high contrast and a high spatial resolution. One challenging mathematical problem associated with PAT is reconstructing the initial pressure of the wave…

Numerical Analysis · Mathematics 2024-07-16 Gyeongha Hwang , Gihyeon Jeon , Sunghwan Moon , Dabin Park

The utilization of Deep Neural Networks (DNNs) in physical science and engineering applications has gained traction due to their capacity to learn intricate functions. While large datasets are crucial for training DNN models in fields like…

Machine Learning · Computer Science 2025-08-05 Vamsi Sai Krishna Malineni , Suresh Rajendran

Fourier neural operators (FNOs) can learn highly nonlinear mappings between function spaces, and have recently become a popular tool for learning responses of complex physical systems. However, to achieve good accuracy and efficiency, FNOs…

Machine Learning · Computer Science 2023-10-31 Ning Liu , Siavash Jafarzadeh , Yue Yu

Panoramic radiograph (PR) is fundamentally used in routine dental care, but it inherently provides only a two-dimensional (2D) projection of complex three-dimensional (3D) craniofacial anatomy. Most existing learning-based methods attempt…

Computer Vision and Pattern Recognition · Computer Science 2026-05-21 Yaoyao Yue , Jérôme Schmid , Xiaoshuang Li , Eduardo Delamare , Jinman Kim

Inverse-designed nanophotonic devices offer promising solutions for analog optical computation. High-density photonic integration is critical for scaling such architectures toward more complex computational tasks and large-scale…

Optics · Physics 2025-06-09 Joel Sved , Shijie Song , Liwei Li , George Li , Debin Meng , Xiaoke Yi

Multispectral photoacoustic imaging (PAI) is an emerging imaging modality which enables the recovery of functional tissue parameters such as blood oxygenation. However, the underlying inverse problems are potentially ill-posed, meaning that…

Photoacoustic computed tomography (PACT) is a non-invasive imaging modality, similar to ultrasound, with wide-ranging medical applications. Conventional PACT images are degraded by wavefront distortion caused by the heterogeneous speed of…

Image and Video Processing · Electrical Eng. & Systems 2025-08-05 Tianao Li , Manxiu Cui , Cheng Ma , Emma Alexander

Geometry is central to PDE-governed systems, motivating shape optimization and inversion. Classical pipelines conduct costly forward simulation with geometry processing, requiring substantial expert effort. Neural surrogates accelerate…

Machine Learning · Computer Science 2026-05-15 Guoze Sun , Tianya Miao , Haoyang Huang , Huaguan Chen , Han Wan , Rui Zhang , Hao Sun