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An emerging new paradigm for solving inverse problems is via the use of deep learning to learn a regularizer from data. This leads to high-quality results, but often at the cost of provable guarantees. In this work, we show how…

机器学习 · 计算机科学 2023-11-06 Zakhar Shumaylov , Jeremy Budd , Subhadip Mukherjee , Carola-Bibiane Schönlieb

We investigate the generalizability of deep learning based on the sensitivity to input perturbation. We hypothesize that the high sensitivity to the perturbation of data degrades the performance on it. To reduce the sensitivity to…

机器学习 · 统计学 2017-06-01 Yuichi Yoshida , Takeru Miyato

Driver assistance systems as well as autonomous cars have to rely on sensors to perceive their environment. A heterogeneous set of sensors is used to perform this task robustly. Among them, radar sensors are indispensable because of their…

信号处理 · 电气工程与系统科学 2019-06-26 Johanna Rock , Mate Toth , Elmar Messner , Paul Meissner , Franz Pernkopf

The sample covariance matrix becomes non-invertible in high-dimensional settings, making classical multivariate statistical methods inapplicable. Various regularization techniques address this issue by imposing a structured target matrix to…

统计方法学 · 统计学 2025-03-13 Atiq Ur Rehman , Muhammad Farooq

There is growing body of learning problems for which it is natural to organize the parameters into matrix, so as to appropriately regularize the parameters under some matrix norm (in order to impose some more sophisticated prior knowledge).…

机器学习 · 计算机科学 2010-10-19 Sham M. Kakade , Shai Shalev-Shwartz , Ambuj Tewari

Convolutional neural networks (CNNs) can model complicated non-linear relations between images. However, they are notoriously sensitive to small changes in the input. Most CNNs trained to describe image-to-image mappings generate temporally…

计算机视觉与模式识别 · 计算机科学 2020-04-15 Gabriel Eilertsen , Rafał K. Mantiuk , Jonas Unger

We propose to learn non-convex regularizers with a prescribed upper bound on their weak-convexity modulus. Such regularizers give rise to variational denoisers that minimize a convex energy. They rely on few parameters (less than 15,000)…

图像与视频处理 · 电气工程与系统科学 2023-12-21 Alexis Goujon , Sebastian Neumayer , Michael Unser

Advances in artificial intelligence (AI) and deep learning have raised concerns about its increasing energy consumption, while demand for deploying AI in mobile devices and machines at the edge is growing. Binary neural networks (BNNs) have…

最优化与控制 · 数学 2026-01-05 Jonas Christoffer Villumsen , Yusuke Sugita

We consider the variational reconstruction framework for inverse problems and propose to learn a data-adaptive input-convex neural network (ICNN) as the regularization functional. The ICNN-based convex regularizer is trained adversarially…

Convolutional neural networks (CNNs) show outstanding performance in many image processing problems, such as image recognition, object detection and image segmentation. Semantic segmentation is a very challenging task that requires…

计算机视觉与模式识别 · 计算机科学 2019-07-12 Fan Jia , Jun Liu , Xue-cheng Tai

In this work, we investigate the use of sparsity-inducing regularizers during training of Convolution Neural Networks (CNNs). These regularizers encourage that fewer connections in the convolution and fully connected layers take non-zero…

计算机视觉与模式识别 · 计算机科学 2014-12-04 Maxwell D. Collins , Pushmeet Kohli

Data assisted reconstruction algorithms, incorporating trained neural networks, are a novel paradigm for solving inverse problems. One approach is to first apply a classical reconstruction method and then apply a neural network to improve…

数值分析 · 数学 2020-03-26 Yoeri E. Boink , Markus Haltmeier , Sean Holman , Johannes Schwab

Convolutional Neural Networks (CNNs) achieve high performance in image classification tasks but are challenging to deploy on resource-limited hardware due to their large model sizes. To address this issue, we leverage Mutual Information, a…

机器学习 · 计算机科学 2024-11-28 Tien Vu-Van , Dat Du Thanh , Nguyen Ho , Mai Vu

Underpinning the success of deep learning is effective regularizations that allow a variety of priors in data to be modeled. For example, robustness to adversarial perturbations, and correlations between multiple modalities. However, most…

机器学习 · 计算机科学 2020-06-16 Mao Li , Yingyi Ma , Xinhua Zhang

Deep convolutional neural networks trained on large datsets have emerged as an intriguing alternative for compressing images and solving inverse problems such as denoising and compressive sensing. However, it has only recently been realized…

机器学习 · 计算机科学 2019-07-09 Reinhard Heckel

Owing to the edge preserving ability and low computational cost of the total variation (TV), variational models with the TV regularization have been widely investigated in the field of multiplicative noise removal. The key points of the…

计算机视觉与模式识别 · 计算机科学 2015-03-18 Dai-Qiang Chen , Li-Zhi Cheng

Recently, convolutional neural networks (CNN) have demonstrated impressive performance in various computer vision tasks. However, high performance hardware is typically indispensable for the application of CNN models due to the high…

计算机视觉与模式识别 · 计算机科学 2016-05-17 Jiaxiang Wu , Cong Leng , Yuhang Wang , Qinghao Hu , Jian Cheng

Deep Neural Networks reached state-of-the-art performance across numerous domains, but this progress has come at the cost of increasingly large and over-parameterized models, posing serious challenges for deployment on resource-constrained…

机器学习 · 计算机科学 2026-02-04 Dario Malchiodi , Mattia Ferraretto , Marco Frasca

The emergence of deep-learning-based methods to solve image-reconstruction problems has enabled a significant increase in reconstruction quality. Unfortunately, these new methods often lack reliability and explainability, and there is a…

图像与视频处理 · 电气工程与系统科学 2023-08-28 Alexis Goujon , Sebastian Neumayer , Pakshal Bohra , Stanislas Ducotterd , Michael Unser

Deep learning models, including modern systems like large language models, are well known to offer unreliable estimates of the uncertainty of their decisions. In order to improve the quality of the confidence levels, also known as…

机器学习 · 计算机科学 2024-04-15 Jiayi Huang , Sangwoo Park , Osvaldo Simeone