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Neural networks are becoming central in several areas of computer vision and image processing and different architectures have been proposed to solve specific problems. The impact of the loss layer of neural networks, however, has not…

Computer Vision and Pattern Recognition · Computer Science 2018-04-24 Hang Zhao , Orazio Gallo , Iuri Frosio , Jan Kautz

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

Most deep neural networks use simple, fixed activation functions, such as sigmoids or rectified linear units, regardless of domain or network structure. We introduce differential equation units (DEUs), an improvement to modern neural…

Machine Learning · Computer Science 2019-09-10 MohamadAli Torkamani , Shiv Shankar , Amirmohammad Rooshenas , Phillip Wallis

Over the past few years, deep neural networks have shown excellent results in multiple tasks, however, there is still an increasing need to address the problem of interpretability to improve model transparency, performance, and safety.…

Machine Learning · Computer Science 2020-10-20 Daniel Zeltner , Benedikt Schmid , Gabor Csiszar , Orsolya Csiszar

Neuroevolution methods evolve the weights of a neural network, and in some cases the topology, but little work has been done to analyze the effect of evolving the activation functions of individual nodes on network size, which is important…

Neural and Evolutionary Computing · Computer Science 2017-03-22 Alexander Hagg , Maximilian Mensing , Alexander Asteroth

Universal approximation theorem suggests that a shallow neural network can approximate any function. The input to neurons at each layer is a weighted sum of previous layer neurons and then an activation is applied. These activation…

Machine Learning · Computer Science 2020-10-30 Bhaavan Goel

The activation functions are fundamental to neural networks as they introduce non-linearity into data relationships, thereby enabling deep networks to approximate complex data relations. Existing efforts to enhance neural network…

Machine Learning · Computer Science 2024-09-26 Jiayu Li , Zilong Zhao , Kevin Yee , Uzair Javaid , Biplab Sikdar

The need for more transparency of the decision-making processes in artificial neural networks steadily increases driven by their applications in safety critical and ethically challenging domains such as autonomous driving or medical…

Neural and Evolutionary Computing · Computer Science 2020-05-12 Richard Meyes , Constantin Waubert de Puiseau , Andres Posada-Moreno , Tobias Meisen

In this paper, we demonstrate the application of generalised rational uniform (Chebyshev) approximation in neural networks. In particular, our activation functions are one degree rational functions and the loss function is based on the…

Optimization and Control · Mathematics 2021-11-05 Vinesha Peiris

All machine learning algorithms use a loss, cost, utility or reward function to encode the learning objective and oversee the learning process. This function that supervises learning is a frequently unrecognized hyperparameter that…

Neural and Evolutionary Computing · Computer Science 2024-11-06 Mathew Mithra Noel , Arindam Banerjee , Yug Oswal , Geraldine Bessie Amali D , Venkataraman Muthiah-Nakarajan

The joint alignment of multivariate functional data plays an important role in various fields such as signal processing, neuroscience and medicine, including the statistical analysis of data from wearable devices. Traditional methods often…

Signal Processing · Electrical Eng. & Systems 2023-12-18 Vi Thanh Pham , Jonas Bille Nielsen , Klaus Fuglsang Kofoed , Jørgen Tobias Kühl , Andreas Kryger Jensen

In this paper we present a modified version of the Hyperbolic Tangent Activation Function as a learning unit generator for neural networks. The function uses an integer calibration constant as an approximation to the Euler number, e, based…

Neural and Evolutionary Computing · Computer Science 2017-07-06 Vincent Ike Anireh , Emmanuel Ndidi Osegi

Deep Neural Networks (DNNs) and Convolutional Neural Networks (CNNs) are useful for many practical tasks in machine learning. Synaptic weights, as well as neuron activation functions within the deep network are typically stored with…

Machine Learning · Computer Science 2017-11-15 Moritz B. Milde , Daniel Neil , Alessandro Aimar , Tobi Delbruck , Giacomo Indiveri

Deep neural networks have been successfully used in diverse emerging domains to solve real world complex problems with may more deep learning(DL) architectures, being developed to date. To achieve these state-of-the-art performances, the DL…

Machine Learning · Computer Science 2018-11-09 Chigozie Nwankpa , Winifred Ijomah , Anthony Gachagan , Stephen Marshall

The training process of neural networks usually optimize weights and bias parameters of linear transformations, while nonlinear activation functions are pre-specified and fixed. This work develops a systematic approach to constructing…

Machine Learning · Computer Science 2024-10-29 Zhengqi Liu , Shuhao Cao , Yuwen Li , Ludmil Zikatanov

Activation functions play a key role in neural networks so it becomes fundamental to understand their advantages and disadvantages in order to achieve better performances. This paper will first introduce common types of non linear…

Machine Learning · Computer Science 2018-04-10 Dabal Pedamonti

At the heart of neural network force fields (NNFFs) is the architecture of neural networks, where the capacity to model complex interactions is typically enhanced through widening or deepening multilayer perceptrons (MLPs) or by increasing…

Machine Learning · Computer Science 2024-12-20 Enji Li

Recently proposed neural network activation functions such as rectified linear, maxout, and local winner-take-all have allowed for faster and more effective training of deep neural architectures on large and complex datasets. The common…

Neural and Evolutionary Computing · Computer Science 2015-04-13 Rupesh Kumar Srivastava , Jonathan Masci , Faustino Gomez , Jürgen Schmidhuber

Biologically, the brain does not rely on a single type of neuron that universally functions in all aspects. Instead, it acts as a sophisticated designer of task-based neurons. In this study, we address the following question: since the…

Neural and Evolutionary Computing · Computer Science 2024-05-07 Feng-Lei Fan , Meng Wang , Hang-Cheng Dong , Jianwei Ma , Tieyong Zeng

Neural network models have demonstrated impressive performance in predicting pathologies and outcomes from the 12-lead electrocardiogram (ECG). However, these models often need to be trained with large, labelled datasets, which are not…

Machine Learning · Computer Science 2022-04-12 Aniruddh Raghu , Divya Shanmugam , Eugene Pomerantsev , John Guttag , Collin M. Stultz
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