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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

The loss function used to train a neural network is strongly connected to its output layer from a statistical point of view. This technical report analyzes common activation functions for a neural network output layer, like linear, sigmoid,…

Machine Learning · Computer Science 2025-11-10 Fernando Berzal

We propose two novel loss functions, Multiplicative Loss and Confidence-Adaptive Multiplicative Loss, for semantic segmentation in medical and cellular images. Although Cross Entropy and Dice Loss are widely used, their additive combination…

Computer Vision and Pattern Recognition · Computer Science 2025-10-15 Yuto Yokoi , Kazuhiro Hotta

Loss functions are error metrics that quantify the difference between a prediction and its corresponding ground truth. Fundamentally, they define a functional landscape for traversal by gradient descent. Although numerous loss functions…

Image and Video Processing · Electrical Eng. & Systems 2021-04-09 Chaitanya Kaul , Nick Pears , Hang Dai , Roderick Murray-Smith , Suresh Manandhar

Activation function has a significant impact on the dynamics, convergence, and performance of deep neural networks. The search for a consistent and high-performing activation function has always been a pursuit during deep learning model…

Computer Vision and Pattern Recognition · Computer Science 2024-09-17 Abdur Rahman , Lu He , Haifeng Wang

Automatic segmentation methods are an important advancement in medical image analysis. Machine learning techniques, and deep neural networks in particular, are the state-of-the-art for most medical image segmentation tasks. Issues with…

Image and Video Processing · Electrical Eng. & Systems 2021-11-25 Michael Yeung , Evis Sala , Carola-Bibiane Schönlieb , Leonardo Rundo

The activation function plays a crucial role in model optimisation, yet the optimal choice remains unclear. For example, the Sigmoid activation is the de-facto activation in balanced classification tasks, however, in imbalanced…

Computer Vision and Pattern Recognition · Computer Science 2025-11-17 Konstantinos Panagiotis Alexandridis , Jiankang Deng , Anh Nguyen , Shan Luo

In this work we propose a new non-monotonic activation function: the modulus. The majority of the reported research on nonlinearities is focused on monotonic functions. We empirically demonstrate how by using the modulus activation function…

Computer Vision and Pattern Recognition · Computer Science 2023-01-18 Iván Vallés-Pérez , Emilio Soria-Olivas , Marcelino Martínez-Sober , Antonio J. Serrano-López , Joan Vila-Francés , Juan Gómez-Sanchís

Simultaneous segmentation of multiple organs from different medical imaging modalities is a crucial task as it can be utilized for computer-aided diagnosis, computer-assisted surgery, and therapy planning. Thanks to the recent advances in…

Computer Vision and Pattern Recognition · Computer Science 2021-09-16 Saeid Asgari Taghanaki , Yefeng Zheng , S. Kevin Zhou , Bogdan Georgescu , Puneet Sharma , Daguang Xu , Dorin Comaniciu , Ghassan Hamarneh

Loss functions drive the optimization of machine learning algorithms. The choice of a loss function can have a significant impact on the training of a model, and how the model learns the data. Binary classification is one of the major…

Machine Learning · Computer Science 2022-11-02 Rayan Wali

Image Segmentation has been an active field of research as it has a wide range of applications, ranging from automated disease detection to self-driving cars. In the past five years, various papers came up with different objective loss…

Image and Video Processing · Electrical Eng. & Systems 2020-12-15 Shruti Jadon

The accuracy of deep learning methods for two foundational tasks in medical image analysis -- detection and segmentation -- can suffer from class imbalance. We propose a `switching loss' function that adaptively shifts the emphasis between…

Image and Video Processing · Electrical Eng. & Systems 2020-08-11 Deepak Anand , Gaurav Patel , Yaman Dang , Amit Sethi

Object segmentation plays an important role in the modern medical image analysis, which benefits clinical study, disease diagnosis, and surgery planning. Given the various modalities of medical images, the automated or semi-automated…

Image and Video Processing · Electrical Eng. & Systems 2020-06-01 Dong Yang , Holger Roth , Xiaosong Wang , Ziyue Xu , Andriy Myronenko , Daguang Xu

Fully convolutional neural networks (FCNs), and in particular U-Nets, have achieved state-of-the-art results in semantic segmentation for numerous medical imaging applications. Moreover, batch normalization and Dice loss have been used…

Image and Video Processing · Electrical Eng. & Systems 2020-07-06 Alireza Mehrtash , William M. Wells , Clare M. Tempany , Purang Abolmaesumi , Tina Kapur

State-of-the-art deep neural networks have been shown to be extremely powerful in a variety of perceptual tasks like semantic segmentation. However, these networks are vulnerable to adversarial perturbations of the input which are…

Computer Vision and Pattern Recognition · Computer Science 2026-01-13 Kira Maag , Asja Fischer

We investigate prediction accuracy for time series of Echo state networks with respect to several kinds of activation functions. As a result, we found that some kinds of activation functions with an appropriate nonlinearity show high…

Neural and Evolutionary Computing · Computer Science 2019-05-24 Hanten Chang , Shinji Nakaoka , Hiroyasu Ando

Activation functions play critical roles in neural networks, yet current off-the-shelf neural networks pay little attention to the specific choice of activation functions used. Here we show that data-aware customization of activation…

Machine Learning · Computer Science 2023-01-18 Fuchang Gao , Boyu Zhang

We hypothesize that probabilistic voxel-level classification of anatomy and malignancy in prostate MRI, although typically posed as near-identical segmentation tasks via U-Nets, require different loss functions for optimal performance due…

Image and Video Processing · Electrical Eng. & Systems 2021-10-26 Anindo Saha , Joeran Bosma , Jasper Linmans , Matin Hosseinzadeh , Henkjan Huisman

The Dice similarity coefficient (DSC) is both a widely used metric and loss function for biomedical image segmentation due to its robustness to class imbalance. However, it is well known that the DSC loss is poorly calibrated, resulting in…

Image and Video Processing · Electrical Eng. & Systems 2022-11-02 Michael Yeung , Leonardo Rundo , Yang Nan , Evis Sala , Carola-Bibiane Schönlieb , Guang Yang

In this study, we propose a new activation function, called Adaptive Smooth Activation Unit (ASAU), tailored for optimized gradient propagation, thereby enhancing the proficiency of convolutional networks in medical image analysis. We apply…

Neural and Evolutionary Computing · Computer Science 2023-12-20 Koushik Biswas , Debesh Jha , Nikhil Kumar Tomar , Gorkem Durak , Alpay Medetalibeyoglu , Matthew Antalek , Yury Velichko , Daniela Ladner , Amir Bohrani , Ulas Bagci
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