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This paper develops a slice sampler for Bayesian linear regression models with arbitrary priors. The new sampler has two advantages over current approaches. One, it is faster than many custom implementations that rely on auxiliary latent…

统计计算 · 统计学 2018-06-18 P. Richard Hahn , Jingyu He , Hedibert Lopes

Bayesian computation of high dimensional linear regression models with a popular Gaussian scale mixture prior distribution using Markov Chain Monte Carlo (MCMC) or its variants can be extremely slow or completely prohibitive due to the…

统计方法学 · 统计学 2021-05-12 Rajarshi Guhaniyogi , Aaron Scheffler

Cutting planes are essential for solving mixed-integer linear problems (MILPs), because they facilitate bound improvements on the optimal solution value. For selecting cuts, modern solvers rely on manually designed heuristics that are tuned…

机器学习 · 计算机科学 2022-06-28 Max B. Paulus , Giulia Zarpellon , Andreas Krause , Laurent Charlin , Chris J. Maddison

We present a method that lowers the dose required for a ptychographic reconstruction by adaptively scanning the specimen, thereby providing the required spatial information redundancy in the regions of highest importance. The proposed…

Ptychography is a scanning coherent diffractive imaging technique that enables imaging nanometer-scale features in extended samples. One main challenge is that widely used iterative image reconstruction methods often require significant…

图像与视频处理 · 电气工程与系统科学 2024-12-17 Canberk Ekmekci , Tekin Bicer , Zichao Wendy Di , Junjing Deng , Mujdat Cetin

Prior probabilities of clinical hypotheses are not systematically used for clinical trial design yet, due to a concern that poor priors may lead to poor decisions. To address this concern, a conservative approach to Bayesian trial design is…

统计方法学 · 统计学 2023-09-21 Fabio Rigat

Compressive sensing is an impressive approach for fast MRI. It aims at reconstructing MR image using only a few under-sampled data in k-space, enhancing the efficiency of the data acquisition. In this study, we propose to learn priors based…

图像与视频处理 · 电气工程与系统科学 2019-09-05 Siyuan Wang , Junjie Lv , Yuanyuan Hu , Dong Liang , Minghui Zhang , Qiegen Liu

This paper presents a new accelerated proximal Markov chain Monte Carlo methodology to perform Bayesian inference in imaging inverse problems with an underlying convex geometry. The proposed strategy takes the form of a stochastic relaxed…

Purpose: Repeated brain MRI scans are performed in many clinical scenarios, such as follow up of patients with tumors and therapy response assessment. In this paper, the authors show an approach to utilize former scans of the patient for…

医学物理 · 物理学 2017-08-28 Lior Weizman , Yonina C. Eldar , Dafna Ben Bashat

Optimized sensing is important for computational imaging in low-resource environments, when images must be recovered from severely limited measurements. In this paper, we propose a physics-constrained, fully differentiable, autoencoder that…

图像与视频处理 · 电气工程与系统科学 2020-03-24 He Sun , Adrian V. Dalca , Katherine L. Bouman

Computed Tomography (CT) is a technology that reconstructs cross-sectional images using X-ray images taken from multiple directions. In CT, hundreds of X-ray images acquired as the X-ray source and detector rotate around a central axis, are…

图像与视频处理 · 电气工程与系统科学 2024-12-05 Shin Kim

In Inverse Synthetic Aperture Radar (ISAR), random missing entries of the received radar echo matrix deteriorate the imaging quality, compromising target distinction from the background. Compressive sensing techniques or matrix completion…

图像与视频处理 · 电气工程与系统科学 2025-07-15 Necmettin Bayar , Isin Erer , Deniz Kumlu

A novel and highly efficient computational framework for reconstructing binary-type images suitable for models of various complexity seen in diverse biomedical applications is developed and validated. Efficiency in computational speed and…

最优化与控制 · 数学 2024-02-09 Paul R. Arbic , Vladislav Bukshtynov

Bayesian model selection provides a powerful framework for objectively comparing models directly from observed data, without reference to ground truth data. However, Bayesian model selection requires the computation of the marginal…

统计方法学 · 统计学 2024-01-17 Xiaohao Cai , Jason D. McEwen , Marcelo Pereyra

Although supervised deep-learning has achieved promising performance in medical image segmentation, many methods cannot generalize well on unseen data, limiting their real-world applicability. To address this problem, we propose a deep…

图像与视频处理 · 电气工程与系统科学 2022-06-10 Shangqi Gao , Hangqi Zhou , Yibo Gao , Xiahai Zhuang

Deep learning based image classification models are shown vulnerable to adversarial attacks by injecting deliberately crafted noises to clean images. To defend against adversarial attacks in a training-free and attack-agnostic manner, this…

计算机视觉与模式识别 · 计算机科学 2021-08-03 Li Ding , Yongwei Wang , Xin Ding , Kaiwen Yuan , Ping Wang , Hua Huang , Z. Jane Wang

Bayesian methodologies prioritising accurate associations above sparsity in Gaussian graphical model (GGM) estimation remain relatively scarce in scientific literature. It is well accepted that the $\ell_2$ penalty enjoys a smaller…

统计方法学 · 统计学 2022-10-31 J. Smith , M. Arashi , A. Bekker

Sparse signal reconstruction algorithms have attracted research attention due to their wide applications in various fields. In this paper, we present a simple Bayesian approach that utilizes the sparsity constraint and a priori statistical…

统计理论 · 数学 2015-06-05 Ahmed A. Quadeer , Tareq Y. Al-Naffouri

Dynamic MRI reconstruction from undersampled measurements is a challenging inverse problem that requires preserving both spatial reconstruction quality and temporal consistency across the frames of the cine series. While recent…

图像与视频处理 · 电气工程与系统科学 2026-05-19 Yongliang Sun , Siddhant Gautam , Chaoyan Huang , Nicole Seiberlich , Ismail Alkhouri , Saiprasad Ravishankar

Bayesian experimental design (BED) is a principled framework for data-efficient design of sequential experiments. However, existing BED methods are unable to adapt to dynamic constraints inherent in real-world tasks due to budget…

机器学习 · 统计学 2026-05-27 Yujia Guo , Daolang Huang , Xinyu Zhang , Sammie Katt , Samuel Kaski , Ayush Bharti