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We conduct mathematical analysis on the effect of batch normalization (BN) on gradient backpropogation in residual network training, which is believed to play a critical role in addressing the gradient vanishing/explosion problem, in this…

Machine Learning · Computer Science 2018-12-04 Abhishek Panigrahi , Yueru Chen , C. -C. Jay Kuo

Supervised learning in deep neural networks is commonly performed using error backpropagation. However, the sequential propagation of errors during the backward pass limits its scalability and applicability to low-powered neuromorphic…

Machine Learning · Computer Science 2023-08-22 Florian Bacho , Dominique Chu

Artificial neural network (ANN) is a very useful tool in solving learning problems. Boosting the performances of ANN can be mainly concluded from two aspects: optimizing the architecture of ANN and normalizing the raw data for ANN. In this…

Machine Learning · Computer Science 2017-12-27 Qingjiu Zhang , Shiliang Sun

Deep convolutional neural networks are known to be unstable during training at high learning rate unless normalization techniques are employed. Normalizing weights or activations allows the use of higher learning rates, resulting in faster…

Machine Learning · Computer Science 2019-12-02 Brendan Ruff , Taylor Beck , Joscha Bach

Recent years have seen adversarial losses been applied to many fields. Their applications extend beyond the originally proposed generative modeling to conditional generative and discriminative settings. While prior work has proposed various…

Machine Learning · Computer Science 2022-11-08 Hao-Wen Dong , Yi-Hsuan Yang

The choice of activation function can significantly influence the performance of neural networks. The lack of guiding principles for the selection of activation function is lamentable. We try to address this issue by introducing our…

Machine Learning · Computer Science 2018-10-16 Yiwei Li , Enzhi Li

Fast arbitrary neural style transfer has attracted widespread attention from academic, industrial and art communities due to its flexibility in enabling various applications. Existing solutions either attentively fuse deep style feature…

Computer Vision and Pattern Recognition · Computer Science 2021-08-12 Songhua Liu , Tianwei Lin , Dongliang He , Fu Li , Meiling Wang , Xin Li , Zhengxing Sun , Qian Li , Errui Ding

Developing strong AI signifies the arrival of technological singularity, contributing greatly to advancing human civilization and resolving social issues. Neural networks (NNs) and deep learning, which utilize NNs, are expected to lead to…

Machine Learning · Computer Science 2024-09-09 Kei Itoh

The sigmoid activation is the standard output activation function in binary classification and segmentation with neural networks. Still, there exist a variety of other potential output activation functions, which may lead to improved…

Image and Video Processing · Electrical Eng. & Systems 2021-09-07 Lars Nieradzik , Gerik Scheuermann , Dorothee Saur , Christina Gillmann

Spiking Neural Network (SNN), originating from the neural behavior in biology, has been recognized as one of the next-generation neural networks. Conventionally, SNNs can be obtained by converting from pre-trained Artificial Neural Networks…

Neural and Evolutionary Computing · Computer Science 2022-05-23 Yuhang Li , Shikuang Deng , Xin Dong , Shi Gu

Gradient descent-based backpropagation training is widely used in many neural network systems. However, photonic implementation of such method is not straightforward mainly since having both the nonlinear activation function and its…

Emerging Technologies · Computer Science 2023-07-21 Farshid Ashtiani , Mohamad Hossein Idjadi

The deep learning literature is continuously updated with new architectures and training techniques. However, weight initialization is overlooked by most recent research, despite some intriguing findings regarding random weights. On the…

Neural and Evolutionary Computing · Computer Science 2022-07-19 Leonardo Scabini , Bernard De Baets , Odemir M. Bruno

Neural activation coverage (NAC) is a recently-proposed technique for out-of-distribution detection and generalization. We build upon this promising foundation and extend the method to work as an uncertainty estimation technique for…

Machine Learning · Computer Science 2026-04-27 Benedikt Franke , Nils Förster , Frank Köster , Asja Fischer , Markus Lange , Arne Raulf

Methods such as Layer Normalization (LN) and Batch Normalization (BN) have proven to be effective in improving the training of Recurrent Neural Networks (RNNs). However, existing methods normalize using only the instantaneous information at…

Machine Learning · Computer Science 2022-09-30 Cole Pospisil , Vasily Zadorozhnyy , Qiang Ye

Transferability of learned features between tasks can massively reduce the cost of training a neural network on a novel task. We investigate the effect of network width on learned features using activation atlases --- a visualization…

Machine Learning · Computer Science 2019-09-26 Dar Gilboa , Guy Gur-Ari

It has been observed in practice that applying pruning-at-initialization methods to neural networks and training the sparsified networks can not only retain the testing performance of the original dense models, but also sometimes even…

Machine Learning · Computer Science 2023-01-31 Hongru Yang , Yingbin Liang , Xiaojie Guo , Lingfei Wu , Zhangyang Wang

We prove some new results concerning the approximation rate of neural networks with general activation functions. Our first result concerns the rate of approximation of a two layer neural network with a polynomially-decaying non-sigmoidal…

Classical Analysis and ODEs · Mathematics 2021-01-05 Jonathan W. Siegel , Jinchao Xu

We develop an approach to efficiently grow neural networks, within which parameterization and optimization strategies are designed by considering their effects on the training dynamics. Unlike existing growing methods, which follow simple…

Machine Learning · Computer Science 2023-06-23 Xin Yuan , Pedro Savarese , Michael Maire

Models of dense prediction based on traditional Artificial Neural Networks (ANNs) require a lot of energy, especially for image restoration tasks. Currently, neural networks based on the SNN (Spiking Neural Network) framework are beginning…

Computer Vision and Pattern Recognition · Computer Science 2025-04-03 Xin Su , Chen Wu , Zhuoran Zheng

An activation function is an element-wise mathematical function and plays a crucial role in deep neural networks (DNN). Many novel and sophisticated activation functions have been proposed to improve the DNN accuracy but also consume…

Machine Learning · Computer Science 2022-09-23 Cong Guo , Yuxian Qiu , Jingwen Leng , Chen Zhang , Ying Cao , Quanlu Zhang , Yunxin Liu , Fan Yang , Minyi Guo
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