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The paper discusses the use of the Absolute activation function in classification neural networks. An examples are shown of using this activation function in simple and more complex problems. Using as a baseline LeNet-5 network for solving…

Machine Learning · Computer Science 2023-04-25 Oleg I. Berngardt

In the past, research on a single low dimensional activation function in networks has led to internal covariate shift and gradient deviation problems. A relatively small research area is how to use function combinations to provide property…

Machine Learning · Computer Science 2024-05-08 Xiaoyan Su , Yinghao Zhu , Run Li

Deep learning methods have predominantly been applied to large artificial neural networks. Despite their state-of-the-art performance, these large networks typically do not generalize well to datasets with limited sample sizes. In this…

Machine Learning · Statistics 2016-11-17 Eric Strobl , Shyam Visweswaran

In the last decade, an active area of research has been devoted to design novel activation functions that are able to help deep neural networks to converge, obtaining better performance. The training procedure of these architectures usually…

Machine Learning · Computer Science 2019-04-26 Franco Manessi , Alessandro Rozza

Classic results establish that encouraging predictive diversity improves performance in ensembles of low-capacity models, e.g. through bagging or boosting. Here we demonstrate that these intuitions do not apply to high-capacity neural…

Machine Learning · Computer Science 2024-01-11 Taiga Abe , E. Kelly Buchanan , Geoff Pleiss , John P. Cunningham

Activation functions play a key role in providing remarkable performance in deep neural networks, and the rectified linear unit (ReLU) is one of the most widely used activation functions. Various new activation functions and improvements on…

Machine Learning · Computer Science 2019-08-27 Yang Liu , Jianpeng Zhang , Chao Gao , Jinghua Qu , Lixin Ji

Introduced is a methodology for adapting the topology of dense neural networks, enabled by isotropic activation functions. Achieved through prescribed reparameterisation symmetries and singular-value decomposition of affine maps, this…

Neural and Evolutionary Computing · Computer Science 2026-05-08 George Bird

Automated machine learning (AutoML) methods improve upon existing models by optimizing various aspects of their design. While present methods focus on hyperparameters and neural network topologies, other aspects of neural network design can…

Machine Learning · Computer Science 2023-04-10 Garrett Bingham

We utilize a connection between compositional kernels and branching processes via Mehler's formula to study deep neural networks. This new probabilistic insight provides us a novel perspective on the mathematical role of activation…

Machine Learning · Statistics 2021-01-20 Tengyuan Liang , Hai Tran-Bach

Deep neural networks are among the most widely applied machine learning tools showing outstanding performance in a broad range of tasks. We present a method for folding a deep neural network of arbitrary size into a single neuron with…

Machine Learning · Computer Science 2021-09-15 Florian Stelzer , André Röhm , Raul Vicente , Ingo Fischer , Serhiy Yanchuk

Deep learning training training algorithms are a huge success in recent years in many fields including speech, text,image video etc. Deeper and deeper layers are proposed with huge success with resnet structures having around 152 layers.…

Machine Learning · Computer Science 2024-02-20 Chinmay Rane , Kanishka Tyagi , Michael Manry

Neural networks require a careful design in order to perform properly on a given task. In particular, selecting a good activation function (possibly in a data-dependent fashion) is a crucial step, which remains an open problem in the…

Machine Learning · Statistics 2020-06-24 Simone Scardapane , Michele Scarpiniti , Danilo Comminiello , Aurelio Uncini

The current understanding of deep neural networks can only partially explain how input structure, network parameters and optimization algorithms jointly contribute to achieve the strong generalization power that is typically observed in…

Machine Learning · Computer Science 2021-01-28 Francesco Craighero , Fabrizio Angaroni , Alex Graudenzi , Fabio Stella , Marco Antoniotti

Multitask learning, i.e. learning several tasks at once with the same neural network, can improve performance in each of the tasks. Designing deep neural network architectures for multitask learning is a challenge: There are many ways to…

Neural and Evolutionary Computing · Computer Science 2018-04-19 Jason Liang , Elliot Meyerson , Risto Miikkulainen

Most of the real world is governed by complex and chaotic dynamical systems. All of these dynamical systems pose a challenge in modelling them using neural networks. Currently, reservoir computing, which is a subset of recurrent neural…

Neural and Evolutionary Computing · Computer Science 2020-09-21 Parth Mahendra

This paper presents a method for adding multiple tasks to a single deep neural network while avoiding catastrophic forgetting. Inspired by network pruning techniques, we exploit redundancies in large deep networks to free up parameters that…

Computer Vision and Pattern Recognition · Computer Science 2018-05-15 Arun Mallya , Svetlana Lazebnik

The design of activation functions is a growing research area in the field of neural networks. In particular, instead of using fixed point-wise functions (e.g., the rectified linear unit), several authors have proposed ways of learning…

Machine Learning · Computer Science 2019-01-30 Simone Scardapane , Elena Nieddu , Donatella Firmani , Paolo Merialdo

The choice of activation functions in deep networks has a significant effect on the training dynamics and task performance. Currently, the most successful and widely-used activation function is the Rectified Linear Unit (ReLU). Although…

Neural and Evolutionary Computing · Computer Science 2017-10-30 Prajit Ramachandran , Barret Zoph , Quoc V. Le

Effective activation functions introduce non-linear transformations, providing neural networks with stronger fitting capa-bilities, which help them better adapt to real data distributions. Huawei Noah's Lab believes that dynamic activation…

Computer Vision and Pattern Recognition · Computer Science 2024-09-16 Chuan Feng , Xi Lin , Shiping Zhu , Hongkang Shi , Maojie Tang , Hua Huang

In this paper, we prove that in the overparametrized regime, deep neural network provide universal approximations and can interpolate any data set, as long as the activation function is locally in $L^1(\RR)$ and not an affine function.…

Machine Learning · Computer Science 2024-04-26 Vlad-Raul Constantinescu , Ionel Popescu
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