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Image reconstruction using deep learning algorithms offers improved reconstruction quality and lower reconstruction time than classical compressed sensing and model-based algorithms. Unfortunately, clean and fully sampled ground-truth data…

Computer Vision and Pattern Recognition · Computer Science 2022-12-05 Hemant Kumar Aggarwal , Aniket Pramanik , Maneesh John , Mathews Jacob

Deep equilibrium models (DEQ) have emerged as a powerful alternative to deep unfolding (DU) for image reconstruction. DEQ models-implicit neural networks with effectively infinite number of layers-were shown to achieve state-of-the-art…

Image and Video Processing · Electrical Eng. & Systems 2022-10-11 Weijie Gan , Chunwei Ying , Parna Eshraghi , Tongyao Wang , Cihat Eldeniz , Yuyang Hu , Jiaming Liu , Yasheng Chen , Hongyu An , Ulugbek S. Kamilov

Unsupervised depth completion aims to recover dense depth from the sparse one without using the ground-truth annotation. Although depth measurement obtained from LiDAR is usually sparse, it contains valid and real distance information,…

Computer Vision and Pattern Recognition · Computer Science 2022-11-22 Zhiqiang Yan , Kun Wang , Xiang Li , Zhenyu Zhang , Jun Li , Jian Yang

We present a new approach to modeling sequential data: the deep equilibrium model (DEQ). Motivated by an observation that the hidden layers of many existing deep sequence models converge towards some fixed point, we propose the DEQ approach…

Machine Learning · Computer Science 2019-10-30 Shaojie Bai , J. Zico Kolter , Vladlen Koltun

A deep equilibrium model (DEQ) is implicitly defined through an equilibrium point of an infinite-depth weight-tied model with an input-injection. Instead of infinite computations, it solves an equilibrium point directly with root-finding…

Machine Learning · Computer Science 2023-03-30 Zenan Ling , Xingyu Xie , Qiuhao Wang , Zongpeng Zhang , Zhouchen Lin

Unsupervised denoising is a crucial challenge in real-world imaging applications. Unsupervised deep-learning methods have demonstrated impressive performance on benchmarks based on synthetic noise. However, no metrics are available to…

Computer Vision and Pattern Recognition · Computer Science 2023-06-01 Adria Marcos-Morales , Matan Leibovich , Sreyas Mohan , Joshua Lawrence Vincent , Piyush Haluai , Mai Tan , Peter Crozier , Carlos Fernandez-Granda

Learning from unlabeled and noisy data is one of the grand challenges of machine learning. As such, it has seen a flurry of research with new ideas proposed continuously. In this work, we revisit a classical idea: Stein's Unbiased Risk…

Machine Learning · Statistics 2020-07-24 Christopher A. Metzler , Ali Mousavi , Reinhard Heckel , Richard G. Baraniuk

Deep neural networks have been very successful in image estimation applications such as compressive-sensing and image restoration, as a means to estimate images from partial, blurry, or otherwise degraded measurements. These networks are…

Computer Vision and Pattern Recognition · Computer Science 2019-10-30 Zhihao Xia , Ayan Chakrabarti

We address the problem of channel estimation for cyclic-prefix (CP) Orthogonal Frequency Division Multiplexing (OFDM) systems. We model the channel as a vector of unknown deterministic constants and hence, do not require prior knowledge of…

Information Theory · Computer Science 2014-10-23 Karthik Upadhya , Chandra Sekhar Seelamantula , K. V. S. Hari

Deep Equilibrium Models (DEQs) are an interesting class of implicit model where the model output is implicitly defined as the fixed point of a learned function. These models have been shown to outperform explicit (fixed-depth) models in…

Machine Learning · Computer Science 2025-12-04 Sam McCallum , Kamran Arora , James Foster

While supervised deep learning has achieved great success in a range of applications, relatively little work has studied the discovery of knowledge from unlabeled data. In this paper, we propose an unsupervised deep learning framework to…

Computer Vision and Pattern Recognition · Computer Science 2020-09-14 Jinghua Wang , Jianmin Jiang

Recently developed deep-learning-based denoisers often outperform state-of-the-art conventional denoisers such as the BM3D. They are typically trained to minimize the mean squared error (MSE) between the output image of a deep neural…

Computer Vision and Pattern Recognition · Computer Science 2021-04-23 Shakarim Soltanayev , Se Young Chun

Deep learning image reconstruction algorithms often suffer from model mismatches when the acquisition scheme differs significantly from the forward model used during training. We introduce a Generalized Stein's Unbiased Risk Estimate…

Machine Learning · Computer Science 2022-01-02 Hemant Kumar Aggarwal , Mathews Jacob

This paper revisits two prominent adaptive filtering algorithms, namely recursive least squares (RLS) and equivariant adaptive source separation (EASI), through the lens of algorithm unrolling. Building upon the unrolling methodology, we…

Signal Processing · Electrical Eng. & Systems 2023-11-17 Zahra Esmaeilbeig , Mojtaba Soltanalian

While deep neural network-based music source separation (MSS) is very effective and achieves high performance, its model size is often a problem for practical deployment. Deep implicit architectures such as deep equilibrium models (DEQ)…

Recently, many self-supervised learning methods for image reconstruction have been proposed that can learn from noisy data alone, bypassing the need for ground-truth references. Most existing methods cluster around two classes: i) Stein's…

Machine Learning · Statistics 2025-02-12 Julián Tachella , Mike Davies , Laurent Jacques

Hyperspectral unmixing (HU) is crucial for analyzing hyperspectral imagery, yet achieving accurate unmixing remains challenging. While traditional methods struggle to effectively model complex spectral-spatial features, deep learning…

Computer Vision and Pattern Recognition · Computer Science 2026-04-14 Chentong Wang , Jincheng Gao , Fei Zhu , Jie Chen

Distribution system state estimation (DSSE) plays a crucial role in the real-time monitoring, control, and operation of distribution networks. Besides intensive computational requirements, conventional DSSE methods need high-quality…

Systems and Control · Electrical Eng. & Systems 2024-08-05 Renyou Xie , Xin Yin , Chaojie Li , Guo Chen , Nian Liu , Bo Zhao , Zhaoyang Dong

The feasibility of variational quantum algorithms, the most popular correspondent of neural networks on noisy, near-term quantum hardware, is highly impacted by the circuit depth of the involved parametrized quantum circuits (PQCs). Higher…

Machine Learning · Computer Science 2024-11-01 Philipp Schleich , Marta Skreta , Lasse B. Kristensen , Rodrigo A. Vargas-Hernández , Alán Aspuru-Guzik

Among the plethora of techniques devised to curb the prevalence of noise in medical images, deep learning based approaches have shown the most promise. However, one critical limitation of these deep learning based denoisers is the…

Computer Vision and Pattern Recognition · Computer Science 2018-12-03 Fahad Shamshad , Muhammad Awais , Muhammad Asim , Zain ul Aabidin Lodhi , Muhammad Umair , Ali Ahmed
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