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We extend a primal-dual fixed point algorithm (PDFP) proposed in [5] to solve two kinds of separable multi-block minimization problems, arising in signal processing and imaging science. This work shows the flexibility of applying PDFP…

最优化与控制 · 数学 2016-02-02 Peijun Chen , Jianguo Huang , Xiaoqun Zhang

This paper presents a new convergent Plug-and-Play (PnP) algorithm. PnP methods are efficient iterative algorithms for solving image inverse problems formulated as the minimization of the sum of a data-fidelity term and a regularization…

机器学习 · 统计学 2023-04-06 Samuel Hurault , Antonin Chambolle , Arthur Leclaire , Nicolas Papadakis

Analog mixed-signal (AMS) devices promise faster, more energy-efficient deep neural network (DNN) inference than their digital counterparts. However, recent studies show that DNNs on AMS devices with fixed-point numbers can incur an…

Alternating Direction Method of Multipliers (ADMM) has recently been proposed as a potential alternative optimizer to the Stochastic Gradient Descent(SGD) for deep learning problems. This is because ADMM can solve gradient vanishing and…

最优化与控制 · 数学 2021-06-24 Junxiang Wang , Zheng Chai , Yue Cheng , Liang Zhao

Cardiac contraction is a rapid, coordinated process that unfolds across three-dimensional tissue on millisecond timescales. Traditional optical imaging is often inadequate for capturing dynamic cellular structure in the beating heart…

计算机视觉与模式识别 · 计算机科学 2025-11-06 Yi Gong , Xinyuan Zhang , Jichen Chai , Yichen Ding , Yifei Lou

In this paper, we propose a new deep unfolding neural network based on the ADMM algorithm for analysis Compressed Sensing. The proposed network jointly learns a redundant analysis operator for sparsification and reconstructs the signal of…

信息论 · 计算机科学 2022-05-03 Vasiliki Kouni , Georgios Paraskevopoulos , Holger Rauhut , George C. Alexandropoulos

Advanced tensor decomposition, such as Tensor train (TT) and Tensor ring (TR), has been widely studied for deep neural network (DNN) model compression, especially for recurrent neural networks (RNNs). However, compressing convolutional…

计算机视觉与模式识别 · 计算机科学 2021-07-28 Miao Yin , Yang Sui , Siyu Liao , Bo Yuan

We propose both serial and parallel proximal (linearized) alternating direction method of multipliers (ADMM) algorithms for training residual neural networks. In contrast to backpropagation-based approaches, our methods inherently mitigate…

机器学习 · 计算机科学 2025-04-01 Jintao Xu , Yifei Li , Wenxun Xing

Deep neural networks (DNNs) have been used to create models for many complex analysis problems like image recognition and medical diagnosis. DNNs are a popular tool within machine learning due to their ability to model complex patterns and…

机器学习 · 计算机科学 2024-05-14 Parth Patil , Ben Boardley , Jack Gardner , Emily Loiselle , Deerajkumar Parthipan

In recent years there has been great interest in using deep neural networks (DNN) for super-resolution image reconstruction including for structured illumination microscopy (SIM). While these methods have shown very promising results, they…

图像与视频处理 · 电气工程与系统科学 2023-03-22 Zachary Burns , Zhaowei Liu

In this work, we present new proofs of convergence for Plug-and-Play (PnP) algorithms. PnP methods are efficient iterative algorithms for solving image inverse problems where regularization is performed by plugging a pre-trained denoiser in…

最优化与控制 · 数学 2023-11-03 Samuel Hurault , Antonin Chambolle , Arthur Leclaire , Nicolas Papadakis

In this paper, we propose a phase shift deep neural network (PhaseDNN) which provides a wideband convergence in approximating a high dimensional function during its training of the network. The PhaseDNN utilizes the fact that many DNN…

信号处理 · 电气工程与系统科学 2019-05-14 Wei Cai , Xiaoguang Li , Lizuo Liu

Motivated by the gap between theoretical optimal approximation rates of deep neural networks (DNNs) and the accuracy realized in practice, we seek to improve the training of DNNs. The adoption of an adaptive basis viewpoint of DNNs leads to…

机器学习 · 计算机科学 2019-12-11 Eric C. Cyr , Mamikon A. Gulian , Ravi G. Patel , Mauro Perego , Nathaniel A. Trask

Weight pruning methods for deep neural networks (DNNs) have been investigated recently, but prior work in this area is mainly heuristic, iterative pruning, thereby lacking guarantees on the weight reduction ratio and convergence time. To…

神经与进化计算 · 计算机科学 2018-10-23 Tianyun Zhang , Shaokai Ye , Kaiqi Zhang , Jian Tang , Wujie Wen , Makan Fardad , Yanzhi Wang

Historically, patient datasets have been used to develop and validate various reconstruction algorithms for PET/MRI and PET/CT. To enable such algorithm development, without the need for acquiring hundreds of patient exams, in this paper we…

In this paper, we introduce convolutional proximal neural networks (cPNNs), which are by construction averaged operators. For filters of full length, we propose a stochastic gradient descent algorithm on a submanifold of the Stiefel…

最优化与控制 · 数学 2024-08-13 Johannes Hertrich , Sebastian Neumayer , Gabriele Steidl

In this paper, we propose Stochastic Block-ADMM as an approach to train deep neural networks in batch and online settings. Our method works by splitting neural networks into an arbitrary number of blocks and utilizes auxiliary variables to…

机器学习 · 计算机科学 2021-05-04 Saeed Khorram , Xiao Fu , Mohamad H. Danesh , Zhongang Qi , Li Fuxin

In this paper, we propose an audio declipping method that takes advantages of both sparse optimization and deep learning. Since sparsity-based audio declipping methods have been developed upon constrained optimization, they are adjustable…

音频与语音处理 · 电气工程与系统科学 2022-02-17 Tomoro Tanaka , Kohei Yatabe , Masahiro Yasuda , Yasuhiro Oikawa

A unified self-supervised and supervised deep learning framework for PET image reconstruction is presented, including deep-learned filtered backprojection (DL-FBP) for sinograms, deep-learned backproject then filter (DL-BPF) for…

图像与视频处理 · 电气工程与系统科学 2023-02-28 Andrew J. Reader

We explore the connection between Plug-and-Play (PnP) methods and Denoising Diffusion Implicit Models (DDIM) for solving ill-posed inverse problems, with a focus on single-pixel imaging. We begin by identifying key distinctions between PnP…

计算机视觉与模式识别 · 计算机科学 2025-09-12 Xiaodong Wang , Ping Wang , Zhangyuan Li , Xin Yuan