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Recent theoretical work has demonstrated that deep neural networks have superior performance over shallow networks, but their training is more difficult, e.g., they suffer from the vanishing gradient problem. This problem can be typically…

Machine Learning · Statistics 2021-11-03 Lu Lu , Yanhui Su , George Em Karniadakis

Current deep neural networks (DNNs) are overparameterized and use most of their neuronal connections during inference for each task. The human brain, however, developed specialized regions for different tasks and performs inference with a…

Machine Learning · Computer Science 2024-03-06 Aleksandr Dekhovich , David M. J. Tax , Marcel H. F. Sluiter , Miguel A. Bessa

Large neural networks are heavily over-parameterized. This is done because it improves training to optimality. However once the network is trained, this means many parameters can be zeroed, or pruned, leaving an equivalent sparse neural…

Machine Learning · Computer Science 2022-07-12 Michael G. Rawson

In this paper, we propose a method of repairing compressed Feedforward Neural Networks (FNNs) based on equivalence evaluation of two neural networks. In the repairing framework, a novel neural network equivalence evaluation method is…

Machine Learning · Computer Science 2024-02-20 Zihao Mo , Yejiang Yang , Shuaizheng Lu , Weiming Xiang

Deep neural networks are often trained in the over-parametrized regime (i.e. with far more parameters than training examples), and understanding why the training converges to solutions that generalize remains an open problem. Several…

Machine Learning · Statistics 2018-03-23 Hartmut Maennel , Olivier Bousquet , Sylvain Gelly

Deep learning models for medical image classification are susceptible to subgroup performance disparities across demographic attributes such as age, gender, and race. We identify a latent representational mechanism underlying these…

Computer Vision and Pattern Recognition · Computer Science 2026-05-20 Abin Shoby , Lyle John Palmer , Nikhil Cherian Kurian

Understanding generalization of overparametrized neural networks remains a fundamental challenge in machine learning. Most of the literature mostly studies generalization from an interpolation point of view, taking convergence of parameters…

Machine Learning · Computer Science 2025-06-13 Etienne Boursier , Nicolas Flammarion

Randomly initialized neural networks are known to become harder to train with increasing depth, unless architectural enhancements like residual connections and batch normalization are used. We here investigate this phenomenon by revisiting…

Machine Learning · Statistics 2020-06-15 Hadi Daneshmand , Jonas Kohler , Francis Bach , Thomas Hofmann , Aurelien Lucchi

The StyleGAN family succeed in high-fidelity image generation and allow for flexible and plausible editing of generated images by manipulating the semantic-rich latent style space.However, projecting a real image into its latent space…

Computer Vision and Pattern Recognition · Computer Science 2023-02-01 Bingchuan Li , Tianxiang Ma , Peng Zhang , Miao Hua , Wei Liu , Qian He , Zili Yi

The main focus of this work is a novel framework for the joint reconstruction and segmentation of parallel MRI (PMRI) brain data. We introduce an image domain deep network for calibrationless recovery of undersampled PMRI data. The proposed…

Image and Video Processing · Electrical Eng. & Systems 2021-02-03 Aniket Pramanik , Mathews Jacob

Image restoration is an inherently ill posed inverse problem. Equivariant networks that embed geometric symmetry priors can mitigate this ill posedness and improve performance. However, current understanding of the relationship between…

Computer Vision and Pattern Recognition · Computer Science 2026-05-14 Feiyu Tan , Qi Xie , Zongben Xu , Deyu Meng

It is well known that neural networks with rectified linear units (ReLU) activation functions are positively scale-invariant. Conventional algorithms like stochastic gradient descent optimize the neural networks in the vector space of…

Machine Learning · Statistics 2021-03-24 Qi Meng , Shuxin Zheng , Huishuai Zhang , Wei Chen , Zhi-Ming Ma , Tie-Yan Liu

This paper presents a theoretical analysis of linear interpolation as a principled method for stabilizing (large-scale) neural network training. We argue that instabilities in the optimization process are often caused by the nonmonotonicity…

Machine Learning · Computer Science 2024-03-15 Thomas Pethick , Wanyun Xie , Volkan Cevher

Certifiable robustness is a highly desirable property for adopting deep neural networks (DNNs) in safety-critical scenarios, but often demands tedious computations to establish. The main hurdle lies in the massive amount of non-linearity in…

Machine Learning · Computer Science 2022-06-17 Tianlong Chen , Huan Zhang , Zhenyu Zhang , Shiyu Chang , Sijia Liu , Pin-Yu Chen , Zhangyang Wang

At very high sparsity, neural network pruning does more than decide which weights remain. It also determines where pruning induced damage is placed across the network, and whether that damage can be recovered by a fixed lightweight repair…

Machine Learning · Computer Science 2026-05-26 Qishi Zhan , Liang He , Minxuan Hu , Ziheng Chen

Regularization can mitigate the generalization gap between training and inference by introducing inductive bias. Existing works have already proposed various inductive biases from diverse perspectives. However, none of them explores…

Machine Learning · Computer Science 2022-11-02 Qiang Fu , Lun Du , Haitao Mao , Xu Chen , Wei Fang , Shi Han , Dongmei Zhang

Deep Learning models have become the dominant approach in several areas due to their high performance. Unfortunately, the size and hence computational requirements of operating such models can be considerably high. Therefore, this…

Computer Vision and Pattern Recognition · Computer Science 2019-12-04 Abdullah Salama , Oleksiy Ostapenko , Tassilo Klein , Moin Nabi

A common technique for ameliorating the computational costs of running large neural models is sparsification, or the pruning of neural connections during training. Sparse models are capable of maintaining the high accuracy of state of the…

Machine Learning · Computer Science 2024-12-16 Wyatt Mackey , Ioannis Schizas , Jared Deighton , David L. Boothe, , Vasileios Maroulas

Inspired by the robustness and efficiency of sparse representation in sparse coding based image restoration models, we investigate the sparsity of neurons in deep networks. Our method structurally enforces sparsity constraints upon hidden…

Computer Vision and Pattern Recognition · Computer Science 2020-06-09 Yuchen Fan , Jiahui Yu , Yiqun Mei , Yulun Zhang , Yun Fu , Ding Liu , Thomas S. Huang

Image interpolation is a special case of image super-resolution, where the low-resolution image is directly down-sampled from its high-resolution counterpart without blurring and noise. Therefore, assumptions adopted in super-resolution…

Image and Video Processing · Electrical Eng. & Systems 2020-10-28 Junchao Zhang
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