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Neural networks with wide layers have attracted significant attention due to their equivalence to Gaussian processes, enabling perfect fitting of training data while maintaining generalization performance, known as benign overfitting.…

机器学习 · 计算机科学 2023-10-18 Tianxiang Gao , Xiaokai Huo , Hailiang Liu , Hongyang Gao

Deep equilibrium networks (DEQs) are a promising way to construct models which trade off memory for compute. However, theoretical understanding of these models is still lacking compared to traditional networks, in part because of the…

机器学习 · 计算机科学 2022-07-20 Atish Agarwala , Samuel S. Schoenholz

Deep model-based architectures (DMBAs) are widely used in imaging inverse problems to integrate physical measurement models and learned image priors. Plug-and-play priors (PnP) and deep equilibrium models (DEQ) are two DMBA frameworks that…

图像与视频处理 · 电气工程与系统科学 2022-11-02 Junhao Hu , Shirin Shoushtari , Zihao Zou , Jiaming Liu , Zhixin Sun , Ulugbek S. Kamilov

We consider using {\bf\em untrained neural networks} to solve the reconstruction problem of snapshot compressive imaging (SCI), which uses a two-dimensional (2D) detector to capture a high-dimensional (usually 3D) data-cube in a compressed…

图像与视频处理 · 电气工程与系统科学 2021-08-31 Ziyi Meng , Zhenming Yu , Kun Xu , Xin Yuan

Recent advances in reconstruction methods for inverse problems leverage powerful data-driven models, e.g., deep neural networks. These techniques have demonstrated state-of-the-art performances for several imaging tasks, but they often do…

计算机视觉与模式识别 · 计算机科学 2020-10-20 Riccardo Barbano , Chen Zhang , Simon Arridge , Bangti Jin

Implicit-depth models such as Deep Equilibrium Networks have recently been shown to match or exceed the performance of traditional deep networks while being much more memory efficient. However, these models suffer from unstable convergence…

机器学习 · 计算机科学 2021-05-05 Ezra Winston , J. Zico Kolter

Image reconstruction from undersampled k-space data plays an important role in accelerating the acquisition of MR data, and a lot of deep learning-based methods have been exploited recently. Despite the achieved inspiring results, the…

计算机视觉与模式识别 · 计算机科学 2021-09-28 Chen Hu , Cheng Li , Haifeng Wang , Qiegen Liu , Hairong Zheng , Shanshan Wang

Deep neural networks, in particular convolutional neural networks, have become highly effective tools for compressing images and solving inverse problems including denoising, inpainting, and reconstruction from few and noisy measurements.…

计算机视觉与模式识别 · 计算机科学 2019-03-12 Reinhard Heckel , Paul Hand

The unrolling method has been investigated for learning variational models in X-ray computed tomography. However, it has been observed that directly unrolling the regularization model through gradient descent does not produce satisfactory…

图像与视频处理 · 电气工程与系统科学 2024-04-19 Yijie Yang , Qifeng Gao , Yuping Duan

Reconstructing MR images using deep neural networks from undersampled k-space data without using fully sampled training references offers significant value in practice, which is a self-supervised regression problem calling for effective…

图像与视频处理 · 电气工程与系统科学 2025-01-22 Liyan Sun , Shaocong Yu , Chi Zhang , Xinghao Ding

Recent attempts to use deep learning for super-resolution reconstruction of turbulent flows have used supervised learning, which requires paired data for training. This limitation hinders more practical applications of super-resolution…

流体动力学 · 物理学 2021-02-03 Hyojin Kim , Junhyuk Kim , Sungjin Won , Changghoon Lee

Self-supervised monocular depth estimation (SSMDE) has gained attention in the field of deep learning as it estimates depth without requiring ground truth depth maps. This approach typically uses a photometric consistency loss between a…

计算机视觉与模式识别 · 计算机科学 2025-03-31 Wonhyeok Choi , Kyumin Hwang , Minwoo Choi , Kiljoon Han , Wonjoon Choi , Mingyu Shin , Sunghoon Im

Per-pixel ground-truth depth data is challenging to acquire at scale. To overcome this limitation, self-supervised learning has emerged as a promising alternative for training models to perform monocular depth estimation. In this paper, we…

计算机视觉与模式识别 · 计算机科学 2019-08-20 Clément Godard , Oisin Mac Aodha , Michael Firman , Gabriel Brostow

Reconstructing dynamic MRI image sequences from undersampled accelerated measurements is crucial for faster and higher spatiotemporal resolution real-time imaging of cardiac motion, free breathing motion and many other applications.…

图像与视频处理 · 电气工程与系统科学 2025-06-10 Andrew Wang , Mike Davies

Deep Equilibrium (DEQ) Models, an emerging class of implicit models that maps inputs to fixed points of neural networks, are of growing interest in the deep learning community. However, training and applying DEQ models is currently done in…

机器学习 · 计算机科学 2023-10-31 Zhengyang Geng , J. Zico Kolter

The resurgence of self-supervised learning, whereby a deep learning model generates its own supervisory signal from the data, promises a scalable way to tackle the dramatically increasing size of real-world data sets without human…

量子物理 · 物理学 2022-04-05 Ben Jaderberg , Lewis W. Anderson , Weidi Xie , Samuel Albanie , Martin Kiffner , Dieter Jaksch

Supervised deep learning-based hash and vector quantization are enabling fast and large-scale image retrieval systems. By fully exploiting label annotations, they are achieving outstanding retrieval performances compared to the conventional…

计算机视觉与模式识别 · 计算机科学 2022-01-13 Young Kyun Jang , Nam Ik Cho

Deep learning has shown impressive results in reducing noise and artifacts in X-ray computed tomography (CT) reconstruction. Self-supervised CT reconstruction methods are especially appealing for real-world applications because they require…

图像与视频处理 · 电气工程与系统科学 2026-05-06 Dirk Elias Schut , Adriaan Graas , Robert van Liere , Tristan van Leeuwen

Magnetic Resonance Imaging (MRI) is widely used in clinical practice, but suffered from prolonged acquisition time. Although deep learning methods have been proposed to accelerate acquisition and demonstrate promising performance, they rely…

图像与视频处理 · 电气工程与系统科学 2025-12-30 Hao Zhang , Qi Wang , Jian Sun , Zhijie Wen , Jun Shi , Shihui Ying

In recent years, deep learning techniques have shown great success in various tasks related to inverse problems, where a target quantity of interest can only be observed through indirect measurements by a forward operator. Common approaches…

数值分析 · 数学 2024-03-18 Matthias Beckmann , Nick Heilenkötter