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Quantum error mitigation (QEM) provides a practical route for estimating reliable observables on noisy intermediate-scale quantum (NISQ) devices. Traditional QEM strategies, including zero-noise extrapolation (ZNE) and Clifford data…

Quantum Physics · Physics 2026-04-21 Huaxin Wang , Xinge Wu , Jiajun Liu , Ruiqing He , Jiandong Shang , Hengliang Guo , Qiang Chen

In this paper, we propose a robust subspace-constrained quadratic model (SCQM) for learning low-dimensional structure from high-dimensional data. Building upon the subspace-constrained quadratic matrix factorization (SQMF) framework, the…

Machine Learning · Computer Science 2026-05-21 Zheng Zhai , Xiaohui Li

The self-attention mechanism (SAM) has demonstrated remarkable success in various applications. However, training SAM on classical computers becomes computationally challenging as the number of trainable parameters grows. Quantum neural…

Phase unwrapping is a classical ill-posed problem which aims to recover the true phase from wrapped phase. In this paper, we introduce a novel Convolutional Neural Network (CNN) that incorporates a Spatial Quad-Directional Long Short Term…

Machine Learning · Computer Science 2020-10-27 Malsha V. Perera , Ashwin De Silva

Multi-image super-resolution, which aims to fuse and restore a high-resolution image from multiple images at the same location, is crucial for utilizing satellite images. The satellite images are often occluded by atmospheric disturbances…

Image and Video Processing · Electrical Eng. & Systems 2022-08-17 Minji Lee

In portable, three dimensional, and ultra-fast ultrasound imaging systems, there is an increasing demand for the reconstruction of high quality images from a limited number of radio-frequency (RF) measurements due to receiver (Rx) or…

Computer Vision and Pattern Recognition · Computer Science 2018-08-08 Yeo Hun Yoon , Shujaat Khan , Jaeyoung Huh , Jong Chul Ye

Quantitative Magnetic Resonance Imaging (qMRI) provides researchers insight into pathological and physiological alterations of living tissue, with the help of which researchers hope to predict (local) therapeutic efficacy early and…

Applications · Statistics 2008-07-30 Xiaoxi Zhang , Timothy D. Johnson , Roderick J. A. Little , Yue Cao

We propose a model-based deep learning architecture for the reconstruction of highly accelerated diffusion magnetic resonance imaging (MRI) that enables high resolution imaging. The proposed reconstruction jointly recovers all the diffusion…

Image and Video Processing · Electrical Eng. & Systems 2020-01-24 Merry P. Mani , Hemant K. Aggarwal , Sanjay Ghosh , Mathews Jacob

Machine learning has the potential to become an important tool in quantum error correction as it allows the decoder to adapt to the error distribution of a quantum chip. An additional motivation for using neural networks is the fact that…

Quantum Physics · Physics 2019-09-18 Nikolas P. Breuckmann , Xiaotong Ni

With the beginning of the noisy intermediate-scale quantum (NISQ) era, quantum neural network (QNN) has recently emerged as a solution for the problems that classical neural networks cannot solve. Moreover, QCNN is attracting attention as…

Quantum Physics · Physics 2022-12-13 Hankyul Baek , Won Joon Yun , Joongheon Kim

This dissertation is devoted to provide advanced nonconvex nonsmooth variational models of (Magnetic Resonance Image) MRI reconstruction, efficient learnable image reconstruction algorithms and parameter training algorithms that improve the…

Optimization and Control · Mathematics 2023-03-06 Wanyu Bian

Self-supervised image denoising methods have garnered significant research attention in recent years, for this kind of method reduces the requirement of large training datasets. Compared to supervised methods, self-supervised methods rely…

Computer Vision and Pattern Recognition · Computer Science 2025-05-27 Hanze Liu , Jiahong Fu , Qi Xie , Deyu Meng

In recent studies on MRI reconstruction, advances have shown significant promise for further accelerating the MRI acquisition. Most state-of-the-art methods require a large amount of fully-sampled data to optimise reconstruction models,…

Image and Video Processing · Electrical Eng. & Systems 2023-12-04 Junwei Yang , Pietro Liò

Quantum Recurrent Neural Networks (QRNNs) are robust candidates for modelling and predicting future values in multivariate time series. However, the effective implementation of some QRNN models is limited by the need for mid-circuit…

Quantum Physics · Physics 2025-01-31 José Daniel Viqueira , Daniel Faílde , Mariamo M. Juane , Andrés Gómez , David Mera

In current noisy intermediate-scale quantum (NISQ) devices, hybrid quantum neural networks (HQNNs) offer a promising solution, combining the strengths of classical machine learning with quantum computing capabilities. However, the…

Quantum Physics · Physics 2025-01-27 Tasnim Ahmed , Muhammad Kashif , Alberto Marchisio , Muhammad Shafique

A learning-based posterior distribution estimation method, Probabilistic Dipole Inversion (PDI), is proposed to solve quantitative susceptibility mapping (QSM) inverse problem in MRI with uncertainty estimation. A deep convolutional neural…

Image and Video Processing · Electrical Eng. & Systems 2020-04-28 Jinwei Zhang , Hang Zhang , Mert Sabuncu , Pascal Spincemaille , Thanh Nguyen , Yi Wang

Deep learning approaches have shown promising performance for compressed sensing-based Magnetic Resonance Imaging. While deep neural networks trained with mean squared error (MSE) loss functions can achieve high peak signal to noise ratio,…

Computer Vision and Pattern Recognition · Computer Science 2018-07-02 Maximilian Seitzer , Guang Yang , Jo Schlemper , Ozan Oktay , Tobias Würfl , Vincent Christlein , Tom Wong , Raad Mohiaddin , David Firmin , Jennifer Keegan , Daniel Rueckert , Andreas Maier

We present a novel learned image reconstruction method for accelerated cardiac MRI with multiple receiver coils based on deep convolutional neural networks (CNNs) and algorithm unrolling. In contrast to many existing learned MR image…

Image and Video Processing · Electrical Eng. & Systems 2024-10-08 Felix Frederik Zimmermann , Andreas Kofler

Purpose: To systematically investigate the influence of various data consistency layers, (semi-)supervised learning and ensembling strategies, defined in a $\Sigma$-net, for accelerated parallel MR image reconstruction using deep learning.…

Image and Video Processing · Electrical Eng. & Systems 2019-12-20 Kerstin Hammernik , Jo Schlemper , Chen Qin , Jinming Duan , Ronald M. Summers , Daniel Rueckert

Quantum machine learning models that leverage quantum circuits as quantum feature maps (QFMs) are recognized for their enhanced expressive power in learning tasks. Such models have demonstrated rigorous end-to-end quantum speedups for…

Quantum Physics · Physics 2026-04-29 Nasa Matsumoto , Quoc Hoan Tran , Koki Chinzei , Yasuhiro Endo , Hirotaka Oshima