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Convolution Neural Networks, known as ConvNets exceptionally perform well in many complex machine learning tasks. The architecture of ConvNets demands the huge and rich amount of data and involves with a vast number of parameters that leads…

Computer Vision and Pattern Recognition · Computer Science 2017-12-14 Pushparaja Murugan , Shanmugasundaram Durairaj

Non-local self-similarity is well-known to be an effective prior for the image denoising problem. However, little work has been done to incorporate it in convolutional neural networks, which surpass non-local model-based methods despite…

Image and Video Processing · Electrical Eng. & Systems 2023-07-19 Diego Valsesia , Giulia Fracastoro , Enrico Magli

This paper presents a predictive model for estimating regularization parameters of diffeomorphic image registration. We introduce a novel framework that automatically determines the parameters controlling the smoothness of diffeomorphic…

Image and Video Processing · Electrical Eng. & Systems 2022-02-08 Jian Wang , Miaomiao Zhang

Convolutional Neural Networks (CNNs) are known to be significantly over-parametrized, and difficult to interpret, train and adapt. In this paper, we introduce a structural regularization across convolutional kernels in a CNN. In our…

Computer Vision and Pattern Recognition · Computer Science 2020-09-08 Ze Wang , Xiuyuan Cheng , Guillermo Sapiro , Qiang Qiu

Convolutional Neural Networks (CNN) offer state of the art performance in various computer vision tasks. Many of those tasks require different subtypes of affine invariances (scale, rotational, translational) to image transformations.…

Computer Vision and Pattern Recognition · Computer Science 2023-10-13 Facundo Manuel Quiroga , Franco Ronchetti , Laura Lanzarini , Aurelio Fernandez-Bariviera

Inverse problems are inherently ill-posed, suffering from non-uniqueness and instability. Classical regularization methods provide mathematically well-founded solutions, ensuring stability and convergence, but often at the cost of reduced…

Numerical Analysis · Mathematics 2026-01-21 Markus Haltmeier , Gyeongha Hwang

Owing to flexible architectures of deep convolutional neural networks (CNNs), CNNs are successfully used for image denoising. However, they suffer from the following drawbacks: (i) deep network architecture is very difficult to train. (ii)…

Computer Vision and Pattern Recognition · Computer Science 2019-03-05 Chunwei Tian , Yong Xu , Lunke Fei , Junqian Wang , Jie Wen , Nan Luo

In recent years, the widespread use of deep neural networks (DNNs) has facilitated great improvements in performance for computer vision tasks like image classification and object recognition. In most realistic computer vision applications,…

Computer Vision and Pattern Recognition · Computer Science 2019-08-27 Tejas Borkar , Lina Karam

Deep neural networks (DNNs) have shown very promising results for various image restoration (IR) tasks. However, the design of network architectures remains a major challenging for achieving further improvements. While most existing…

Computer Vision and Pattern Recognition · Computer Science 2020-10-28 Weisheng Dong , Peiyao Wang , Wotao Yin , Guangming Shi , Fangfang Wu , Xiaotong Lu

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…

Numerical Analysis · Mathematics 2020-03-26 Yoeri E. Boink , Markus Haltmeier , Sean Holman , Johannes Schwab

Deep neural networks demonstrate to have a high performance on image classification tasks while being more difficult to train. Due to the complexity and vanishing gradient problem, it normally takes a lot of time and more computational…

Computer Vision and Pattern Recognition · Computer Science 2018-05-02 Mohammad Sadegh Ebrahimi , Hossein Karkeh Abadi

Convolutional neural networks provide visual features that perform remarkably well in many computer vision applications. However, training these networks requires significant amounts of supervision. This paper introduces a generic framework…

Machine Learning · Statistics 2017-04-19 Piotr Bojanowski , Armand Joulin

Neural networks have attracted a lot of attention due to its success in applications such as natural language processing and computer vision. For large scale data, due to the tremendous number of parameters in neural networks, overfitting…

Machine Learning · Statistics 2022-07-05 Xiaoxi Shen , Jinghang Lin

Convolution neural networks have achieved remarkable performance in many tasks of computing vision. However, CNN tends to bias to low frequency components. They prioritize capturing low frequency patterns which lead them fail when suffering…

Machine Learning · Computer Science 2020-07-08 Weiyu Guo , Yidong Ouyang

Convolutional Neural Networks (CNNs) filter the input data using spatial convolution operators with compact stencils. Commonly, the convolution operators couple features from all channels, which leads to immense computational cost in the…

Machine Learning · Computer Science 2019-05-17 Jonathan Ephrath , Lars Ruthotto , Eldad Haber , Eran Treister

Deep neural networks (DNN) have an impressive ability to invert very complex models, i.e. to learn the generative parameters from a model's output. Once trained, the forward pass of a DNN is often much faster than traditional,…

Machine Learning · Computer Science 2021-07-23 Gaetan Rensonnet , Louise Adam , Benoit Macq

We propose a general learning based framework for solving nonsmooth and nonconvex image reconstruction problems. We model the regularization function as the composition of the $l_{2,1}$ norm and a smooth but nonconvex feature mapping…

Computer Vision and Pattern Recognition · Computer Science 2022-09-07 Yunmei Chen , Hongcheng Liu , Xiaojing Ye , Qingchao Zhang

Proper regularization is critical for speeding up training, improving generalization performance, and learning compact models that are cost efficient. We propose and analyze regularized gradient descent algorithms for learning shallow…

Machine Learning · Computer Science 2018-06-08 Samet Oymak

The design of metamaterials which support unique optical responses is the basis for most thin-film nanophotonics applications. In practice this inverse design problem can be difficult to solve systematically due to the large design…

Computational Physics · Physics 2026-05-25 Andrew Lininger , Michael Hinczewski , Giuseppe Strangi

While Convolutional Neural Networks (CNNs) excel at learning complex latent-space representations, their over-parameterization can lead to overfitting and reduced performance, particularly with limited data. This, alongside their high…

Computer Vision and Pattern Recognition · Computer Science 2024-01-17 Manish Sharma , Jamison Heard , Eli Saber , Panos P. Markopoulos