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In this paper, we generalize the well-known Nesterov's accelerated gradient (AG) method, originally designed for convex smooth optimization, to solve nonconvex and possibly stochastic optimization problems. We demonstrate that by properly…

Optimization and Control · Mathematics 2013-10-15 Saeed Ghadimi , Guanghui Lan

In this work we propose an efficient stochastic plug-and-play (PnP) algorithm for imaging inverse problems. The PnP stochastic gradient descent methods have been recently proposed and shown improved performance in some imaging applications…

Optimization and Control · Mathematics 2020-06-24 Junqi Tang , Mike Davies

The task of approximating an arbitrary convex function arises in several learning problems such as convex regression, learning with a difference of convex (DC) functions, and learning Bregman or $f$-divergences. In this paper, we develop…

RMSProp and ADAM continue to be extremely popular algorithms for training neural nets but their theoretical convergence properties have remained unclear. Further, recent work has seemed to suggest that these algorithms have worse…

Machine Learning · Computer Science 2018-11-22 Soham De , Anirbit Mukherjee , Enayat Ullah

We introduce Adversarial Diffusion Distillation (ADD), a novel training approach that efficiently samples large-scale foundational image diffusion models in just 1-4 steps while maintaining high image quality. We use score distillation to…

Computer Vision and Pattern Recognition · Computer Science 2023-11-29 Axel Sauer , Dominik Lorenz , Andreas Blattmann , Robin Rombach

Image registration is used in many medical image analysis applications, such as tracking the motion of tissue in cardiac images, where cardiac kinematics can be an indicator of tissue health. Registration is a challenging problem for deep…

Image and Video Processing · Electrical Eng. & Systems 2025-06-25 Benjamin Graham

Image registration is a crucial task in signal processing, but it often encounters issues with stability and efficiency. Non-learning registration approaches rely on optimizing similarity metrics between fixed and moving images, which can…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Zihao Wang , Hervé Delingette

While deep neural networks have proven to be a powerful tool for many recognition and classification tasks, their stability properties are still not well understood. In the past, image classifiers have been shown to be vulnerable to…

Computer Vision and Pattern Recognition · Computer Science 2019-01-14 Rima Alaifari , Giovanni S. Alberti , Tandri Gauksson

We introduce an end-to-end deep-learning framework for 3D medical image registration. In contrast to existing approaches, our framework combines two registration methods: an affine registration and a vector momentum-parameterized stationary…

Computer Vision and Pattern Recognition · Computer Science 2019-03-22 Zhengyang Shen , Xu Han , Zhenlin Xu , Marc Niethammer

Many modern computer vision and machine learning applications rely on solving difficult optimization problems that involve non-differentiable objective functions and constraints. The alternating direction method of multipliers (ADMM) is a…

Computer Vision and Pattern Recognition · Computer Science 2017-04-11 Zheng Xu , Mario A. T. Figueiredo , Xiaoming Yuan , Christoph Studer , Tom Goldstein

This paper aims to create a deep learning framework that can estimate the deformation vector field (DVF) for directly registering abdominal MRI-CT images. The proposed method assumed a diffeomorphic deformation. By using topology-preserved…

Computer Vision and Pattern Recognition · Computer Science 2024-05-07 Yang Lei , Luke A. Matkovic , Justin Roper , Tonghe Wang , Jun Zhou , Beth Ghavidel , Mark McDonald , Pretesh Patel , Xiaofeng Yang

Image registration is the process of bringing different images into a common coordinate system - a technique widely used in various applications of computer vision, such as remote sensing, image retrieval, and, most commonly, medical…

This paper develops an adaptive proximal alternating direction method of multipliers (ADMM) for solving linearly constrained, composite optimization problems under the assumption that the smooth component of the objective is weakly convex,…

Optimization and Control · Mathematics 2026-05-04 Leandro Farias Maia , David H. Gutman , Renato D. C. Monteiro , Gilson N. Silva

Registration is a fundamental task in medical robotics and is often a crucial step for many downstream tasks such as motion analysis, intra-operative tracking and image segmentation. Popular registration methods such as ANTs and NiftyReg…

Computer Vision and Pattern Recognition · Computer Science 2021-03-26 Wentao Zhu , Yufang Huang , Daguang Xu , Zhen Qian , Wei Fan , Xiaohui Xie

Tenfold improvements in computation speed can be brought to the alternating direction method of multipliers (ADMM) for Semidefinite Programming with virtually no decrease in robustness and provable convergence simply by projecting…

Optimization and Control · Mathematics 2021-12-28 Nikitas Rontsis , Paul J. Goulart , Yuji Nakatsukasa

Diffusion model (DM) has achieved SOTA performance by modeling the image synthesis process into a sequential application of a denoising network. However, different from image synthesis, image restoration (IR) has a strong constraint to…

Computer Vision and Pattern Recognition · Computer Science 2023-08-17 Bin Xia , Yulun Zhang , Shiyin Wang , Yitong Wang , Xinglong Wu , Yapeng Tian , Wenming Yang , Luc Van Gool

The alternating direction method of multipliers (ADMM) is a common optimization tool for solving constrained and non-differentiable problems. We provide an empirical study of the practical performance of ADMM on several nonconvex…

Optimization and Control · Mathematics 2016-12-13 Zheng Xu , Soham De , Mario Figueiredo , Christoph Studer , Tom Goldstein

In this work, we introduce a fast and accurate method for unsupervised 3D medical image registration. This work is built on top of a recent algorithm SAM, which is capable of computing dense anatomical/semantic correspondences between two…

Image and Video Processing · Electrical Eng. & Systems 2021-09-27 Fengze Liu , Ke Yan , Adam Harrison , Dazhou Guo , Le Lu , Alan Yuille , Lingyun Huang , Guotong Xie , Jing Xiao , Xianghua Ye , Dakai Jin

Temporal echocardiography image registration is a basis for clinical quantifications such as cardiac motion estimation, myocardial strain assessments, and stroke volume quantifications. In past studies, deep learning image registration…

Image and Video Processing · Electrical Eng. & Systems 2023-09-12 Md. Kamrul Hasan , Haobo Zhu , Guang Yang , Choon Hwai Yap

In this work, we present a hardware compatible neural network training algorithm in which we used alternating direction method of multipliers (ADMM) and iterative least-square methods. The motive behind this approach was to conduct a method…

Machine Learning · Computer Science 2020-09-08 Seyedeh Niusha Alavi Foumani , Ce Guo , Wayne Luk