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

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Ultrasound Computed Tomography (USCT) constitutes a nonlinear inverse problem with inherent ill-posedness that can benefit from regularization through diffusion generative priors. However, traditional approaches for solving Helmholtz…

Numerical Analysis · Mathematics 2026-05-13 Xiang Cao , Qiaoqiao Ding , Xinliang Liu , Lei Zhang , Xiaoqun Zhang

Deep neural networks (DNN) have an impressive ability to invert very complex models, i.e. to learn the generative parameters from a model's output. Once trained, the forward pass of a DNN is often much faster than traditional,…

Machine Learning · Computer Science 2021-07-23 Gaetan Rensonnet , Louise Adam , Benoit Macq

In computational physics, a longstanding challenge lies in finding numerical solutions to partial differential equations (PDEs). Recently, research attention has increasingly focused on Neural Operator methods, which are notable for their…

Machine Learning · Computer Science 2025-09-26 Yichen Song , Yalun Wu , Yunbo Wang , Xiaokang Yang

Deep learning is emerging as a new paradigm for solving inverse imaging problems. However, the deep learning methods often lack the assurance of traditional physics-based methods due to the lack of physical information considerations in…

Image and Video Processing · Electrical Eng. & Systems 2020-07-20 Dongdong Chen , Mike E. Davies

A main challenge for tasks on panorama lies in the distortion of objects among images. In this work, we propose a Distortion-Aware Monocular Omnidirectional (DAMO) dense depth estimation network to address this challenge on indoor panoramas…

Computer Vision and Pattern Recognition · Computer Science 2021-02-24 Hong-Xiang Chen , Kunhong Li , Zhiheng Fu , Mengyi Liu , Zonghao Chen , Yulan Guo

We propose the Inverse Neural Operator (INO), a two-stage framework for recovering hidden ODE parameters from sparse, partial observations. In Stage 1, a Conditional Fourier Neural Operator (C-FNO) with cross-attention learns a…

Machine Learning · Computer Science 2026-03-13 Zhi-Song Liu , Wenqing Peng , Helmi Toropainen , Ammar Kheder , Andreas Rupp , Holger Froning , Xiaojie Lin , Michael Boy

Purpose: Optoacoustic tomography (OAT) is inherently a three-dimensional (3D) inverse problem. However, most studies of OAT image reconstruction still employ two-dimensional (2D) imaging models. One important reason is because 3D image…

Medical Physics · Physics 2013-04-09 Kun Wang , Chao Huang , Yu-Jiun Kao , Cheng-Ying Chou , Alexander A. Oraevsky , Mark A. Anastasio

We present a Machine Learning-based method for tomographic reconstruction of dense layered objects, with range of projection angles limited to $\pm $10$^\circ$. Whereas previous approaches to phase tomography generally require two steps,…

Image and Video Processing · Electrical Eng. & Systems 2020-01-08 Alexandre Goy , Girish Rughoobur , Shuai Li , Kwabena Arthur , Akintunde I. Akinwande , George Barbastathis

Neural rendering techniques promise efficient photo-realistic image synthesis while at the same time providing rich control over scene parameters by learning the physical image formation process. While several supervised methods have been…

Computer Vision and Pattern Recognition · Computer Science 2021-03-30 Hassan Abu Alhaija , Siva Karthik Mustikovela , Justus Thies , Varun Jampani , Matthias Nießner , Andreas Geiger , Carsten Rother

While variational methods have been among the most powerful tools for solving linear inverse problems in imaging, deep (convolutional) neural networks have recently taken the lead in many challenging benchmarks. A remaining drawback of deep…

Computer Vision and Pattern Recognition · Computer Science 2019-08-20 Tim Meinhardt , Michael Moeller , Caner Hazirbas , Daniel Cremers

As a hybrid imaging technology, photoacoustic microscopy (PAM) imaging suffers from noise due to the maximum permissible exposure of laser intensity, attenuation of ultrasound in the tissue, and the inherent noise of the transducer.…

Image and Video Processing · Electrical Eng. & Systems 2022-01-13 Da He , Jiasheng Zhou , Xiaoyu Shang , Jiajia Luo , Sung-Liang Chen

Fourier Neural Operator (FNO) is a powerful and popular operator learning method. However, FNO is mainly used in forward prediction, yet a great many applications rely on solving inverse problems. In this paper, we propose an invertible…

Machine Learning · Computer Science 2025-05-07 Da Long , Zhitong Xu , Qiwei Yuan , Yin Yang , Shandian Zhe

Photoacoustic microscopy (PAM) has been a promising biomedical imaging technology in recent years. However, the point-by-point scanning mechanism results in low-speed imaging, which limits the application of PAM. Reducing sampling density…

Image and Video Processing · Electrical Eng. & Systems 2020-06-09 Jiasheng Zhou , Da He , Xiaoyu Shang , Zhendong Guo , Sung-liang Chen , Jiajia Luo

Learning neural implicit fields of 3D shapes is a rapidly emerging field that enables shape representation at arbitrary resolutions. Due to the flexibility, neural implicit fields have succeeded in many research areas, including shape…

Computer Vision and Pattern Recognition · Computer Science 2026-02-24 Yifei Shi , Boyan Wan , Xin Xu , Kai Xu

We report a new approach to flow field tomography that uses the Navier-Stokes and advection-diffusion equations to regularize reconstructions. Tomography is increasingly employed to infer 2D or 3D fluid flow and combustion structures from a…

Fluid Dynamics · Physics 2026-03-31 Joseph P. Molnar , Samuel J. Grauer

Recent advancements in deep learning for automated image processing and classification have accelerated many new applications for medical image analysis. However, most deep learning applications have been developed using reconstructed,…

Computer Vision and Pattern Recognition · Computer Science 2018-12-05 Hyunkwang Lee , Chao Huang , Sehyo Yune , Shahein H. Tajmir , Myeongchan Kim , Synho Do

We address the challenge of parameter-efficient fine-tuning (PEFT) for three-dimensional (3D) U-Net-based denoising diffusion probabilistic models (DDPMs) in magnetic resonance imaging (MRI) image generation. Despite its practical…

Image and Video Processing · Electrical Eng. & Systems 2025-07-25 Binghua Li , Ziqing Chang , Tong Liang , Chao Li , Toshihisa Tanaka , Shigeki Aoki , Qibin Zhao , Zhe Sun

Radiation exposure in positron emission tomography (PET) imaging limits its usage in the studies of radiation-sensitive populations, e.g., pregnant women, children, and adults that require longitudinal imaging. Reducing the PET radiotracer…

Image and Video Processing · Electrical Eng. & Systems 2021-07-22 Viswanath P. Sudarshan , Uddeshya Upadhyay , Gary F. Egan , Zhaolin Chen , Suyash P. Awate

The inverse source problem arising in photoacoustic tomography and in several other coupled-physics modalities is frequently solved by iterative algorithms. Such algorithms are based on the minimization of a certain cost functional. In…

Image and Video Processing · Electrical Eng. & Systems 2025-10-29 Andreas Hauptmann , Leonid Kunyansky , Jenni Poimala

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