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We consider the ill-posed inverse problem of identifying a nonlinearity in a time-dependent PDE model. The nonlinearity is approximated by a neural network, and needs to be determined alongside other unknown physical parameters and the…

Numerical Analysis · Mathematics 2022-11-23 Barbara Kaltenbacher , Tram Thi Ngoc Nguyen

Batch Normalization (BN)(Ioffe and Szegedy 2015) normalizes the features of an input image via statistics of a batch of images and hence BN will bring the noise to the gradient of the training loss. Previous works indicate that the noise is…

Machine Learning · Computer Science 2019-09-19 Senwei Liang , Zhongzhan Huang , Mingfu Liang , Haizhao Yang

Regularization is crucial to the success of many practical deep learning models, in particular in a more often than not scenario where there are only a few to a moderate number of accessible training samples. In addition to weight decay,…

Machine Learning · Computer Science 2018-08-07 Che-Wei Huang , Shrikanth S. Narayanan

We propose a novel deep learning method for shadow removal. Inspired by physical models of shadow formation, we use a linear illumination transformation to model the shadow effects in the image that allows the shadow image to be expressed…

Computer Vision and Pattern Recognition · Computer Science 2021-11-10 Hieu Le , Dimitris Samaras

In the Data-Centric Artificial Intelligence (AI) paradigm, improving data quality is essential for robust machine learning. However, many denoising methods rely on rigid statistical assumptions or require clean reference data, which limits…

Artificial Intelligence · Computer Science 2026-04-28 J. Javier Alonso-Ramos , Ignacio Aguilera-Martos , Francisco Herrera , Andrés Herrera-Poyatos

Regularization plays an important role in generalization of deep neural networks, which are often prone to overfitting with their numerous parameters. L1 and L2 regularizers are common regularization tools in machine learning with their…

Machine Learning · Computer Science 2019-10-21 Dae Hoon Park , Chiu Man Ho , Yi Chang , Huaqing Zhang

Unpaired image denoising has achieved promising development over the last few years. Regardless of the performance, methods tend to heavily rely on underlying noise properties or any assumption which is not always practical. Alternatively,…

Computer Vision and Pattern Recognition · Computer Science 2022-08-05 Manisha Das Chaity , Masud An Nur Islam Fahim

Deep Neural Networks (DNNs) generalization is known to be closely related to the flatness of minima, leading to the development of Sharpness-Aware Minimization (SAM) for seeking flatter minima and better generalization. In this paper, we…

Machine Learning · Computer Science 2024-12-06 Yun Yue , Jiadi Jiang , Zhiling Ye , Ning Gao , Yongchao Liu , Ke Zhang

It is known that sparsity can improve interpretability for deep neural networks. However, existing methods in the area either require networks that are pre-trained with sparsity constraints, or impose sparsity after the fact, altering the…

Machine Learning · Computer Science 2024-07-22 Arshia Soltani Moakhar , Eugenia Iofinova , Elias Frantar , Dan Alistarh

Deep Convolutional Neural Networks (CNN) enforces supervised information only at the output layer, and hidden layers are trained by back propagating the prediction error from the output layer without explicit supervision. We propose a…

Computer Vision and Pattern Recognition · Computer Science 2016-06-07 Zhuolin Jiang , Yaming Wang , Larry Davis , Walt Andrews , Viktor Rozgic

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

Regularization and data augmentation methods have been widely used and become increasingly indispensable in deep learning training. Researchers who devote themselves to this have considered various possibilities. But so far, there has been…

Computer Vision and Pattern Recognition · Computer Science 2021-06-15 Xuan Cheng , Tianshu Xie , Xiaomin Wang , Jiali Deng , Minghui Liu , Ming Liu

While deep neural networks (DNNs) have proven to be efficient for numerous tasks, they come at a high memory and computation cost, thus making them impractical on resource-limited devices. However, these networks are known to contain a…

Neural and Evolutionary Computing · Computer Science 2020-07-21 Anthony Berthelier , Yongzhe Yan , Thierry Chateau , Christophe Blanc , Stefan Duffner , Christophe Garcia

Scene classification is a fundamental perception task for environmental understanding in today's robotics. In this paper, we have attempted to exploit the use of popular machine learning technique of deep learning to enhance scene…

Computer Vision and Pattern Recognition · Computer Science 2015-09-23 Yiyi Liao , Sarath Kodagoda , Yue Wang , Lei Shi , Yong Liu

In this paper, we develop a novel regularization method for deep neural networks by penalizing the trace of Hessian. This regularizer is motivated by a recent guarantee bound of the generalization error. We explain its benefits in finding…

Machine Learning · Computer Science 2023-02-23 Yucong Liu , Shixing Yu , Tong Lin

There has been significant recent interest in the use of deep learning for regularizing imaging inverse problems. Most work in the area has focused on regularization imposed implicitly by convolutional neural networks (CNNs) pre-trained for…

Image and Video Processing · Electrical Eng. & Systems 2023-03-10 Zihao Zou , Jiaming Liu , Brendt Wohlberg , Ulugbek S. Kamilov

Compared with traditional seismic noise attenuation algorithms that depend on signal models and their corresponding prior assumptions, removing noise with a deep neural network is trained based on a large training set, where the inputs are…

Geophysics · Physics 2019-07-23 Siwei Yu , Jianwei Ma , Wenlong Wang

Variational regularization methods are commonly used to approximate solutions of inverse problems. In recent years, model-based variational regularization methods have often been replaced with data-driven ones such as the fields-of-expert…

Optimization and Control · Mathematics 2024-01-17 Danilo Riccio , Matthias J. Ehrhardt , Martin Benning

We introduce a novel stochastic regularization technique for deep neural networks, which decomposes a layer into multiple branches with different parameters and merges stochastically sampled combinations of the outputs from the branches…

Machine Learning · Computer Science 2019-10-04 Wonpyo Park , Paul Hongsuck Seo , Bohyung Han , Minsu Cho

Sparse deep learning has become a popular technique for improving the performance of deep neural networks in areas such as uncertainty quantification, variable selection, and large-scale network compression. However, most existing research…

Machine Learning · Statistics 2023-10-06 Mingxuan Zhang , Yan Sun , Faming Liang