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Coordinate descent with random coordinate selection is the current state of the art for many large scale optimization problems. However, greedy selection of the steepest coordinate on smooth problems can yield convergence rates independent…

Optimization and Control · Mathematics 2018-10-17 Sai Praneeth Karimireddy , Anastasia Koloskova , Sebastian U. Stich , Martin Jaggi

Parallel imaging is a widely-used technique to accelerate magnetic resonance imaging (MRI). However, current methods still perform poorly in reconstructing artifact-free MRI images from highly undersampled k-space data. Recently, implicit…

Image and Video Processing · Electrical Eng. & Systems 2022-10-20 Ruimin Feng , Qing Wu , Yuyao Zhang , Hongjiang Wei

A diagnostic policy specifies what test to perform next, based on the results of previous tests, and when to stop and make a diagnosis. Cost-sensitive diagnostic policies perform tradeoffs between (a) the cost of tests and (b) the cost of…

Artificial Intelligence · Computer Science 2012-07-19 Valentina Bayer-Zubek

We address the problems of minimizing and of maximizing the spectral radius overa compact family of non-negative matrices. Those problems being hard in generalcan be efficiently solved for some special families. We consider the so-called…

Optimization and Control · Mathematics 2020-05-19 Vladimir Yu. Protasov , Aleksandar Cvetković

Precision medicine stands as a transformative approach in healthcare, offering tailored treatments that can enhance patient outcomes and reduce healthcare costs. As understanding of complex disease improves, clinical trials are being…

Methodology · Statistics 2024-05-15 Lara Maleyeff , Shirin Golchi , Erica E. M. Moodie , Marie Hudson

We present a new experimental design procedure that divides a set of experimental units into two groups in order to minimize error in estimating an additive treatment effect. One concern is minimizing error at the experimental design stage…

Methodology · Statistics 2021-02-02 Abba M. Krieger , David Azriel , Adam Kapelner

Supervised deep learning methods have shown promise in undersampled Magnetic Resonance Imaging (MRI) reconstruction, but their requirement for paired data limits their generalizability to the diverse MRI acquisition parameters. Recently,…

Image and Video Processing · Electrical Eng. & Systems 2024-06-12 Wei Jiang , Zhuang Xiong , Feng Liu , Nan Ye , Hongfu Sun

The greedy strategy is an approximation algorithm to solve optimization problems arising in decision making with multiple actions. How good is the greedy strategy compared to the optimal solution? In this survey, we mainly consider two…

Optimization and Control · Mathematics 2019-05-10 Yajing Liu , Edwin K. P. Chong , Ali Pezeshki , Zhenliang Zhang

Purpose: In many clinical MRI scenarios, existing imaging information can be used to significantly shorten acquisition time or to improve Signal to Noise Ratio (SNR). In this paper the authors present a framework for fast MRI by exploiting…

Medical Physics · Physics 2017-08-28 Lior Weizman , Yonina C. Eldar , Dafna Ben-Basaht

High-resolution magnetic resonance imaging (MRI) is essential in clinical diagnosis. However, its long acquisition time remains a critical issue. Parallel imaging (PI) is a common approach to reduce acquisition time by periodically skipping…

Image and Video Processing · Electrical Eng. & Systems 2025-06-10 Hao Li , Yusheng Zhou , Jianan Liu , Xiling Liu , Tao Huang , Zhihan Lyu , Weidong Cai , Wei Chen

Accelerating Magnetic Resonance Imaging (MRI) reduces scan time but often degrades image quality. While Implicit Neural Representations (INRs) show promise for MRI reconstruction, they struggle at high acceleration factors due to weak prior…

Computer Vision and Pattern Recognition · Computer Science 2025-08-12 Ziad Al-Haj Hemidi , Eytan Kats , Mattias P. Heinrich

The slow acquisition speed of magnetic resonance imaging (MRI) has led to the development of two complementary methods: acquiring multiple views of the anatomy simultaneously (parallel imaging) and acquiring fewer samples than necessary for…

Image and Video Processing · Electrical Eng. & Systems 2020-04-16 Anuroop Sriram , Jure Zbontar , Tullie Murrell , Aaron Defazio , C. Lawrence Zitnick , Nafissa Yakubova , Florian Knoll , Patricia Johnson

Acquisition of Magnetic Resonance Imaging (MRI) scans can be accelerated by under-sampling in k-space (i.e., the Fourier domain). In this paper, we consider the problem of optimizing the sub-sampling pattern in a data-driven fashion. Since…

Image and Video Processing · Electrical Eng. & Systems 2019-05-02 Cagla Deniz Bahadir , Adrian V. Dalca , Mert R. Sabuncu

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

Dimensionality reduction on quadratic manifolds augments linear approximations with quadratic correction terms. Previous works rely on linear approximations given by projections onto the first few leading principal components of the…

Numerical Analysis · Mathematics 2024-12-13 Paul Schwerdtner , Benjamin Peherstorfer

Pairwise comparison labels are more informative and less variable than class labels, but generating them poses a challenge: their number grows quadratically in the dataset size. We study a natural experimental design objective, namely,…

Data Structures and Algorithms · Computer Science 2019-01-21 Yuan Guo , Jennifer Dy , Deniz Erdogmus , Jayashree Kalpathy-Cramer , Susan Ostmo , J. Peter Campbell , Michael F. Chiang , Stratis Ioannidis

Research studies have shown no qualms about using data driven deep learning models for downstream tasks in medical image analysis, e.g., anatomy segmentation and lesion detection, disease diagnosis and prognosis, and treatment planning.…

Image and Video Processing · Electrical Eng. & Systems 2022-04-06 Jiahao Huang , Yingying Fang , Yang Nan , Huanjun Wu , Yinzhe Wu , Zhifan Gao , Yang Li , Zidong Wang , Pietro Lio , Daniel Rueckert , Yonina C. Eldar , Guang Yang

Empirical design in reinforcement learning is no small task. Running good experiments requires attention to detail and at times significant computational resources. While compute resources available per dollar have continued to grow…

Machine Learning · Computer Science 2024-10-30 Andrew Patterson , Samuel Neumann , Martha White , Adam White

The policy gradient approach is a flexible and powerful reinforcement learning method particularly for problems with continuous actions such as robot control. A common challenge in this scenario is how to reduce the variance of policy…

Machine Learning · Computer Science 2013-01-18 Tingting Zhao , Hirotaka Hachiya , Voot Tangkaratt , Jun Morimoto , Masashi Sugiyama

This paper presents a deep learning method for faster magnetic resonance imaging (MRI) by reducing k-space data with sub-Nyquist sampling strategies and provides a rationale for why the proposed approach works well. Uniform subsampling is…

Machine Learning · Statistics 2019-05-14 Chang Min Hyun , Hwa Pyung Kim , Sung Min Lee , Sungchul Lee , Jin Keun Seo