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Graph convolutional network (GCN) is a powerful model studied broadly in various graph structural data learning tasks. However, to mitigate the over-smoothing phenomenon, and deal with heterogeneous graph structural data, the design of GCN…

Machine Learning · Statistics 2024-12-12 Jia Cai , Zhilong Xiong , Shaogao Lv

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

The inductive bias of a neural network is largely determined by the architecture and the training algorithm. To achieve good generalization, how to effectively train a neural network is of great importance. We propose a novel orthogonal…

Machine Learning · Computer Science 2021-06-08 Weiyang Liu , Rongmei Lin , Zhen Liu , James M. Rehg , Liam Paull , Li Xiong , Le Song , Adrian Weller

Convolutional architectures have recently been shown to be competitive on many sequence modelling tasks when compared to the de-facto standard of recurrent neural networks (RNNs), while providing computational and modeling advantages due to…

Machine Learning · Computer Science 2019-02-19 Emre Aksan , Otmar Hilliges

This paper deals with water management over open-channel networks (OCNs) subject to water height imbalance. The OCN is modeled by means of graph theoretic tools and a regulation scheme is designed basing on an outer reference generation…

Systems and Control · Electrical Eng. & Systems 2024-02-02 Marco Fabris , Marco D. Bellinazzi , Andrea Furlanetto , Angelo Cenedese

Recurrent stochastic configuration networks (RSCNs) have shown promise in modelling nonlinear dynamic systems with order uncertainty due to their advantages of easy implementation, less human intervention, and strong approximation…

Machine Learning · Computer Science 2024-11-19 Gang Dang , Dainhui Wang

We propose a novel variant of SGD customized for training network architectures that support anytime behavior: such networks produce a series of increasingly accurate outputs over time. Efficient architectural designs for these networks…

Machine Learning · Computer Science 2020-08-18 Chengcheng Wan , Henry Hoffmann , Shan Lu , Michael Maire

Low precision weights, activations, and gradients have been proposed as a way to improve the computational efficiency and memory footprint of deep neural networks. Recently, low precision networks have even shown to be more robust to…

Machine Learning · Computer Science 2018-07-04 Griffin Lacey , Graham W. Taylor , Shawki Areibi

Orthogonality is widely used for training deep neural networks (DNNs) due to its ability to maintain all singular values of the Jacobian close to 1 and reduce redundancy in representation. This paper proposes a computationally efficient and…

Computer Vision and Pattern Recognition · Computer Science 2020-04-03 Lei Huang , Li Liu , Fan Zhu , Diwen Wan , Zehuan Yuan , Bo Li , Ling Shao

Neural networks typically generalize well when fitting the data perfectly, even though they are heavily overparameterized. Many factors have been pointed out as the reason for this phenomenon, including an implicit bias of stochastic…

Machine Learning · Computer Science 2025-02-04 Amit Peleg , Matthias Hein

Neural networks are trained by optimizing multi-dimensional sets of fitting parameters on non-convex loss landscapes. Low-loss regions of the landscapes correspond to the parameter sets that perform well on the training data. A key issue in…

Machine Learning · Computer Science 2026-02-26 Jianneng Yu , Alexandre V. Morozov

Orthogonal convolutional layers are valuable components in multiple areas of machine learning, such as adversarial robustness, normalizing flows, GANs, and Lipschitz-constrained models. Their ability to preserve norms and ensure stable…

Artificial Intelligence · Computer Science 2025-06-05 Thibaut Boissin , Franck Mamalet , Thomas Fel , Agustin Martin Picard , Thomas Massena , Mathieu Serrurier

In the wake of the explosive growth in smartphones and cyberphysical systems, there has been an accelerating shift in how data is generated away from centralised data towards on-device generated data. In response, machine learning…

Machine Learning · Computer Science 2021-12-09 Ross Drummond , Mathew C. Turner , Stephen R. Duncan

Feedforward neural networks with random hidden nodes suffer from a problem with the generation of random weights and biases as these are difficult to set optimally to obtain a good projection space. Typically, random parameters are drawn…

Machine Learning · Computer Science 2019-09-18 Grzegorz Dudek

Generative adversarial networks (GANs) have attracted intense interest in the field of generative models. However, few investigations focusing either on the theoretical analysis or on algorithm design for the approximation ability of the…

Machine Learning · Computer Science 2020-07-14 Xuejiao Liu , Yao Xu , Xueshuang Xiang

In this paper, an orthogonal stochastic gradient descent (O-SGD) based learning approach is proposed to tackle the wireless channel over-training problem inherent in artificial neural network (ANN)-assisted MIMO signal detection. Our basic…

Signal Processing · Electrical Eng. & Systems 2020-02-26 Songyan Xue , Yi Ma , Rahim Tafazolli

In this paper, we introduce the algorithms of Orthogonal Deep Neural Networks (OrthDNNs) to connect with recent interest of spectrally regularized deep learning methods. OrthDNNs are theoretically motivated by generalization analysis of…

Machine Learning · Computer Science 2019-10-16 Kui Jia , Shuai Li , Yuxin Wen , Tongliang Liu , Dacheng Tao

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

Orthogonal parameterization is a compelling solution to the vanishing gradient problem (VGP) in recurrent neural networks (RNNs). With orthogonal parameters and non-saturated activation functions, gradients in such models are constrained to…

Machine Learning · Computer Science 2023-04-25 Khoi Minh Nguyen-Duy , Quang Pham , Binh T. Nguyen

Neural networks with random hidden nodes have gained increasing interest from researchers and practical applications. This is due to their unique features such as very fast training and universal approximation property. In these networks…

Neural and Evolutionary Computing · Computer Science 2017-10-16 Grzegorz Dudek