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This paper seeks to answer the question: as the (near-) orthogonality of weights is found to be a favorable property for training deep convolutional neural networks, how can we enforce it in more effective and easy-to-use ways? We develop…

Machine Learning · Computer Science 2018-10-23 Nitin Bansal , Xiaohan Chen , Zhangyang Wang

Deep convolutional neural networks are hindered by training instability and feature redundancy towards further performance improvement. A promising solution is to impose orthogonality on convolutional filters. We develop an efficient…

Computer Vision and Pattern Recognition · Computer Science 2020-04-09 Jiayun Wang , Yubei Chen , Rudrasis Chakraborty , Stella X. Yu

Regularization techniques are widely used to improve the generality, robustness, and efficiency of deep convolutional neural networks (DCNNs). In this paper, we propose a novel approach of regulating DCNN convolutional kernels by a…

Machine Learning · Computer Science 2019-11-28 Seyed Mehdi Ayyoubzadeh , Xiaolin Wu

Regularization is key for deep learning since it allows training more complex models while keeping lower levels of overfitting. However, the most prevalent regularizations do not leverage all the capacity of the models since they rely on…

Machine Learning · Computer Science 2017-03-16 Pau Rodríguez , Jordi Gonzàlez , Guillem Cucurull , Josep M. Gonfaus , Xavier Roca

Despite several algorithmic advances in the training of convolutional neural networks (CNNs) over the years, their generalization capabilities are still subpar across several pertinent domains, particularly within open-set tasks often found…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Colton R. Crum , Adam Czajka

As neural networks become deeper, the redundancy within their parameters increases. This phenomenon has led to several methods that attempt to reduce the correlation between convolutional filters. We propose a computationally efficient…

Computer Vision and Pattern Recognition · Computer Science 2024-02-20 Yoav Kurtz , Noga Bar , Raja Giryes

Normalization techniques have become a basic component in modern convolutional neural networks (ConvNets). In particular, many recent works demonstrate that promoting the orthogonality of the weights helps train deep models and improve…

Computer Vision and Pattern Recognition · Computer Science 2022-01-05 Sheng Liu , Xiao Li , Yuexiang Zhai , Chong You , Zhihui Zhu , Carlos Fernandez-Granda , Qing Qu

Standard deep learning models that employ the categorical cross-entropy loss are known to perform well at image classification tasks. However, many standard models thus obtained often exhibit issues like feature redundancy, low…

Computer Vision and Pattern Recognition · Computer Science 2020-09-24 Hongjun Choi , Anirudh Som , Pavan Turaga

Orthogonal matrix has shown advantages in training Recurrent Neural Networks (RNNs), but such matrix is limited to be square for the hidden-to-hidden transformation in RNNs. In this paper, we generalize such square orthogonal matrix to…

Machine Learning · Computer Science 2017-11-22 Lei Huang , Xianglong Liu , Bo Lang , Adams Wei Yu , Yongliang Wang , Bo Li

Network pruning in Convolutional Neural Networks (CNNs) has been extensively investigated in recent years. To determine the impact of pruning a group of filters on a network's accuracy, state-of-the-art pruning methods consistently assume…

Computer Vision and Pattern Recognition · Computer Science 2020-09-11 Ekdeep Singh Lubana , Puja Trivedi , Conrad Hougen , Robert P. Dick , Alfred O. Hero

Deep neural networks are a promising approach towards multi-task learning because of their capability to leverage knowledge across domains and learn general purpose representations. Nevertheless, they can fail to live up to these promises…

Machine Learning · Computer Science 2019-12-17 Mihai Suteu , Yike Guo

In this paper, we investigate the empirical impact of orthogonality regularization (OR) in deep learning, either solo or collaboratively. Recent works on OR showed some promising results on the accuracy. In our ablation study, however, we…

Computer Vision and Pattern Recognition · Computer Science 2020-01-20 Ziming Zhang , Wenchi Ma , Yuanwei Wu , Guanghui Wang

Enforcing orthonormal or isometric property for the weight matrices has been shown to enhance the training of deep neural networks by mitigating gradient exploding/vanishing and increasing the robustness of the learned networks. However,…

Machine Learning · Computer Science 2024-03-01 Zhen Qin , Xuwei Tan , Zhihui Zhu

It has been observed that Convolutional Neural Networks (CNNs) suffer from redundancy in feature maps, leading to inefficient capacity utilization. Efforts to address this issue have largely focused on kernel orthogonality method. In this…

Computer Vision and Pattern Recognition · Computer Science 2025-05-23 Zakariae Belmekki , Jun Li , Patrick Reuter , David Antonio Gómez Jáuregui , Karl Jenkins

Deep neural network is difficult to train and this predicament becomes worse as the depth increases. The essence of this problem exists in the magnitude of backpropagated errors that will result in gradient vanishing or exploding…

Computer Vision and Pattern Recognition · Computer Science 2017-04-11 Di Xie , Jiang Xiong , Shiliang Pu

Imposing orthogonality on the layers of neural networks is known to facilitate the learning by limiting the exploding/vanishing of the gradient; decorrelate the features; improve the robustness. This paper studies the theoretical properties…

Statistics Theory · Mathematics 2023-01-16 El Mehdi Achour , François Malgouyres , Franck Mamalet

In this paper, we propose Selective Output Smoothing Regularization, a novel regularization method for training the Convolutional Neural Networks (CNNs). Inspired by the diverse effects on training from different samples, Selective Output…

Computer Vision and Pattern Recognition · Computer Science 2022-03-30 Xuan Cheng , Tianshu Xie , Xiaomin Wang , Qifeng Weng , Minghui Liu , Jiali Deng , Ming Liu

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…

Machine Learning · Computer Science 2020-06-16 Mao Li , Yingyi Ma , Xinhua Zhang

Recent work developed convolutional deep kernel machines, achieving 92.7% test accuracy on CIFAR-10 using a ResNet-inspired architecture, which is SOTA for kernel methods. However, this still lags behind neural networks, which easily…

Machine Learning · Statistics 2024-10-10 Edward Milsom , Ben Anson , Laurence Aitchison

Modern deep neural networks require a tremendous amount of data to train, often needing hundreds or thousands of labeled examples to learn an effective representation. For these networks to work with less data, more structure must be built…

Computer Vision and Pattern Recognition · Computer Science 2019-03-06 Reuben Feinman , Brenden M. Lake
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