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We consider the linear discriminant analysis problem in the high-dimensional settings. In this work, we propose PANDA(PivotAl liNear Discriminant Analysis), a tuning-insensitive method in the sense that it requires very little effort to…

Statistics Theory · Mathematics 2023-09-19 Ethan X. Fang , Yajun Mei , Yuyang Shi , Qunzhi Xu , Tuo Zhao

In MRI, deep neural networks have been proposed to reconstruct diffusion model parameters. However, the inputs of the networks were designed for a specific diffusion gradient scheme (i.e., diffusion gradient directions and numbers) and a…

Image and Video Processing · Electrical Eng. & Systems 2021-02-05 Juhung Park , Woojin Jung , Eun-Jung Choi , Se-Hong Oh , Dongmyung Shin , Hongjun An , Jongho Lee

Current deep learning approaches for diffusion MRI modeling circumvent the need for densely-sampled diffusion-weighted images (DWIs) by directly predicting microstructural indices from sparsely-sampled DWIs. However, they implicitly make…

Image and Video Processing · Electrical Eng. & Systems 2021-06-25 Mengwei Ren , Heejong Kim , Neel Dey , Guido Gerig

Full waveform inversion (FWI) has become a widely adopted technique for high-resolution subsurface imaging. However, its inherent strong nonlinearity often results in convergence toward local minima. Recently, deep image prior-based…

Geophysics · Physics 2025-12-10 Guangyuan Zou , Junlun Li , Feng Liu , Xuejing Zheng , Jianjian Xie , Guoyi Chen

We developed a Nonlinear Level-set Learning (NLL) method for dimensionality reduction in high-dimensional function approximation with small data. This work is motivated by a variety of design tasks in real-world engineering applications,…

Functional Analysis · Mathematics 2019-06-20 Guannan Zhang , Jiaxin Zhang , Jacob Hinkle

Quantitative susceptibility mapping (QSM) utilizes MRI phase information to estimate tissue magnetic susceptibility. The generation of QSM requires solving ill-posed background field removal (BFR) and field-to-source inversion problems.…

Image and Video Processing · Electrical Eng. & Systems 2020-08-17 Juan Liu , Kevin M Koch

Quantitative susceptibility mapping (QSM) is a post-processing technique for deriving tissue magnetic susceptibility distribution from MRI phase measurements. Deep learning (DL) algorithms hold great potential for solving the ill-posed QSM…

Image and Video Processing · Electrical Eng. & Systems 2024-03-27 Yang Gao , Zhuang Xiong , Shanshan Shan , Yin Liu , Pengfei Rong , Min Li , Alan H Wilman , G. Bruce Pike , Feng Liu , Hongfu Sun

Reconstruction of magnetic resonance imaging (MRI) data has been positively affected by deep learning. A key challenge remains: to improve generalisation to distribution shifts between the training and testing data. Most approaches aim to…

Image and Video Processing · Electrical Eng. & Systems 2024-02-15 Yuyang Xue , Chen Qin , Sotirios A. Tsaftaris

Utilizing the multi-dimensional (MD) space for constellation shaping has been proven to be an effective approach for achieving shaping gains. Despite there exists a variety of MD modulation formats tailored for specific optical transmission…

Signal Processing · Electrical Eng. & Systems 2025-06-23 Bin Chen , Zhiwei Liang , Yi Lei , JingXin Deng , Shen Li , Gabriele Liga

Susceptibility tensor imaging (STI) is an emerging magnetic resonance imaging technique that characterizes the anisotropic tissue magnetic susceptibility with a second-order tensor model. STI has the potential to provide information for…

Image and Video Processing · Electrical Eng. & Systems 2022-09-13 Zhenghan Fang , Kuo-Wei Lai , Peter van Zijl , Xu Li , Jeremias Sulam

Full waveform inversion (FWI) is a nonlinear waveform matching procedure, which suffers from cycle skipping when the initial model is not kinematically-accurate enough. To mitigate cycle skipping, wavefield reconstruction inversion (WRI)…

Optimization and Control · Mathematics 2019-10-29 Hossein S. Aghamiry , Ali Gholami , Stéphane Operto

Purpose: We present SCAMPI (Sparsity Constrained Application of deep Magnetic resonance Priors for Image reconstruction), an untrained deep Neural Network for MRI reconstruction without previous training on datasets. It expands the Deep…

Medical Physics · Physics 2024-05-21 Thomas M. Siedler , Peter M. Jakob , Volker Herold

Quantitative susceptibility mapping (QSM) has demonstrated great potential in quantifying tissue susceptibility in various brain diseases. However, the intrinsic ill-posed inverse problem relating the tissue phase to the underlying…

Computer Vision and Pattern Recognition · Computer Science 2021-05-21 Ruimin Feng , Jiayi Zhao , He Wang , Baofeng Yang , Jie Feng , Yuting Shi , Ming Zhang , Chunlei Liu , Yuyao Zhang , Jie Zhuang , Hongjiang Wei

Non-invasive subsurface imaging using full waveform inversion (FWI) has the potential to fundamentally change engineering site characterization by enabling the recovery of high resolution 2D/3D maps of subsurface stiffness. Yet, the…

Geophysics · Physics 2022-06-01 Joseph P. Vantassel , Krishna Kumar , Brady R. Cox

High-resolution diffusion tensor imaging (DTI) is beneficial for probing tissue microstructure in fine neuroanatomical structures, but long scan times and limited signal-to-noise ratio pose significant barriers to acquiring DTI at…

Image and Video Processing · Electrical Eng. & Systems 2021-02-19 Qiyuan Tian , Ziyu Li , Qiuyun Fan , Chanon Ngamsombat , Yuxin Hu , Congyu Liao , Fuyixue Wang , Kawin Setsompop , Jonathan R. Polimeni , Berkin Bilgic , Susie Y. Huang

End-to-end deep learning improves breast cancer classification on diffusion-weighted MR images (DWI) using a convolutional neural network (CNN) architecture. A limitation of CNN as opposed to previous model-based approaches is the…

Neurite Orientation Dispersion and Density Imaging (NODDI) microstructure estimation from diffusion magnetic resonance imaging (dMRI) is of great significance for the discovery and treatment of various neurological diseases. Current deep…

Computer Vision and Pattern Recognition · Computer Science 2024-11-12 Taohui Xiao , Jian Cheng , Wenxin Fan , Enqing Dong , Hairong Zheng , Shanshan Wang

Label-free tomographic microscopy offers a compelling means to visualize three-dimensional (3D) refractive index (RI) distributions from two-dimensional (2D) intensity measurements. However, limited forward-model accuracy and the ill-posed…

Optics · Physics 2025-02-27 Delong Yang , Shaohui Zhang , Jiasong Sun , Chao Zuo , Qun Hao

The increasing complexity of multirotor applications demands flight controllers that can accurately account for all forces acting on the vehicle. Conventional controllers model most aerodynamic and dynamic effects but often neglect…

Robotics · Computer Science 2026-04-15 Eckart Cobo-Briesewitz , Khaled Wahba , Wolfgang Hönig

In this paper, we design a deep learning-based convolutional autoencoder for channel coding and modulation. The objective is to develop an adaptive scheme capable of operating at various signal-to-noise ratios (SNR)s without the need for…

Signal Processing · Electrical Eng. & Systems 2025-07-01 Ahmad Abdel-Qader , Anas Chaaban , Mohamed S. Shehata