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The optimization algorithms are crucial in training physics-informed neural networks (PINNs), as unsuitable methods may lead to poor solutions. Compared to the common gradient descent (GD) algorithm, implicit gradient descent (IGD)…

Machine Learning · Computer Science 2025-08-04 Xianliang Xu , Ting Du , Wang Kong , Bin Shan , Ye Li , Zhongyi Huang

To enable learning on edge devices with fast convergence and low memory, we present a novel backpropagation-free optimization algorithm dubbed Target Projection Stochastic Gradient Descent (tpSGD). tpSGD generalizes direct random target…

Machine Learning · Computer Science 2022-09-19 Michael Lomnitz , Zachary Daniels , David Zhang , Michael Piacentino

Deep learning based methods hold state-of-the-art results in low-level image processing tasks, but remain difficult to interpret due to their black-box construction. Unrolled optimization networks present an interpretable alternative to…

Image and Video Processing · Electrical Eng. & Systems 2025-11-18 Nikola Janjušević , Amirhossein Khalilian-Gourtani , Yao Wang

Unlike conventional "black-box" transformers with classical self-attention mechanism, we build a lightweight and interpretable transformer-like neural net by unrolling a mixed-graph-based optimization algorithm to forecast traffic with…

Machine Learning · Computer Science 2026-02-04 Ji Qi , Tam Thuc Do , Mingxiao Liu , Zhuoshi Pan , Yuzhe Li , Gene Cheung , H. Vicky Zhao

The data consistency for the physical forward model is crucial in inverse problems, especially in MR imaging reconstruction. The standard way is to unroll an iterative algorithm into a neural network with a forward model embedded. The…

Image and Video Processing · Electrical Eng. & Systems 2023-06-28 Guanxiong Luo , Mengmeng Kuang , Peng Cao

Deep learning (DL) image registration methods amortize the costly pair-wise iterative optimization by training deep neural networks to predict the optimal transformation in one fast forward-pass. In this work, we bridge the gap between…

Image and Video Processing · Electrical Eng. & Systems 2022-09-13 Huaqi Qiu , Kerstin Hammernik , Chen Qin , Chen Chen , Daniel Rueckert

We propose a unified deep meta-learning framework for accelerated magnetic resonance imaging (MRI) that jointly addresses multi-coil reconstruction and cross-modality synthesis. Motivated by the limitations of conventional methods in…

Optimization and Control · Mathematics 2026-03-10 Merham Fouladvand , Peuroly Batra

This paper presents a proper generalized decomposition (PGD) based reduced-order model of hierarchical deep-learning neural networks (HiDeNN). The proposed HiDeNN-PGD method keeps both advantages of HiDeNN and PGD methods. The automatic…

Numerical Analysis · Mathematics 2022-01-12 Lei Zhang , Ye Lu , Shaoqiang Tang , Wing Kam Liu

Anomaly detection (AD) is increasingly recognized as a key component for ensuring the resilience of future communication systems. While deep learning has shown state-of-the-art AD performance, its application in critical systems is hindered…

Machine Learning · Computer Science 2025-10-29 Lukas Schynol , Marius Pesavento

Deep-unrolling and plug-and-play (PnP) approaches have become the de-facto standard solvers for single-pixel imaging (SPI) inverse problem. PnP approaches, a class of iterative algorithms where regularization is implicitly performed by an…

Image and Video Processing · Electrical Eng. & Systems 2025-05-30 Ping Wang , Lishun Wang , Gang Qu , Xiaodong Wang , Yulun Zhang , Xin Yuan

Deep learning models have gained great success in many real-world applications. However, most existing networks are typically designed in heuristic manners, thus lack of rigorous mathematical principles and derivations. Several recent…

Computer Vision and Pattern Recognition · Computer Science 2017-12-18 Risheng Liu , Xin Fan , Shichao Cheng , Xiangyu Wang , Zhongxuan Luo

Deep unfolding networks (DUNs) combine the interpretability of model-based methods with the learning ability of deep networks, yet remain limited for blind image restoration (BIR). Existing DUNs suffer from: (1) \textbf{Degradation-specific…

Computer Vision and Pattern Recognition · Computer Science 2026-05-13 Chunming He , Rihan Zhang , Zheng Chen , Bowen Yang , Chengyu Fang , Yunlong Lin , Yulun Zhang , Fengyang Xiao , Sina Farsiu

Machine learning models often struggle to generalize across domains with varying data distributions, such as differing noise levels, leading to degraded performance. Traditional strategies like personalized training, which trains separate…

Machine Learning · Computer Science 2026-04-07 Snehaa Reddy , Jayaprakash Katual , Satish Mulleti

Intelligent reflecting surface (IRS) is a promising technology to assist downlink information transmissions from a multi-antenna access point (AP) to a receiver. In this paper, we minimize the AP's transmit power by a joint optimization of…

Signal Processing · Electrical Eng. & Systems 2020-05-26 Jiaye Lin , Yuze Zou , Xiaoru Dong , Shimin Gong , Dinh Thai Hoang , Dusit Niyato

Data representation techniques have made a substantial contribution to advancing data processing and machine learning (ML). Improving predictive power was the focus of previous representation techniques, which unfortunately perform rather…

Machine Learning · Computer Science 2022-05-24 Qiyou Duan , Hadi Ghauch , Taejoon Kim

This paper investigates the problem of recovering hyperspectral (HS) images from single RGB images. To tackle such a severely ill-posed problem, we propose a physically-interpretable, compact, efficient, and end-to-end learning-based…

Image and Video Processing · Electrical Eng. & Systems 2021-08-29 Zhiyu Zhu , Hui Liu , Junhui Hou , Sen Jia , Qingfu Zhang

Algorithm unrolling has emerged as a learning-based optimization paradigm that unfolds truncated iterative algorithms in trainable neural-network optimizers. We introduce Stochastic UnRolled Federated learning (SURF), a method that expands…

Machine Learning · Computer Science 2024-02-08 Samar Hadou , Navid NaderiAlizadeh , Alejandro Ribeiro

In this paper, we design unimodular waveforms with good correlation properties for multi-input multi-output (MIMO) radar systems. Specifically, first, we analyze the geometric properties of the unimodular constraint in the fourth-order…

Signal Processing · Electrical Eng. & Systems 2025-04-09 Xuyang Zhao , Jiangtao Wang , Shihao Yan , Yongchao Wang

Neural network optimization remains one of the most consequential yet poorly understood challenges in modern AI research, where improvements in training algorithms can lead to enhanced feature learning in foundation models,…

Machine Learning · Computer Science 2025-12-23 Ansh Nagwekar

Recent advances in deep learning are driven by the growing scale of computation, data, and models. However, efficiently training large-scale models on distributed systems requires an intricate combination of data, operator, and pipeline…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-22 Jinfan Chen , Shigang Li , Ran Gun , Jinhui Yuan , Torsten Hoefler