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The ReLU activation function (AF) has been extensively applied in deep neural networks, in particular Convolutional Neural Networks (CNN), for image classification despite its unresolved dying ReLU problem, which poses challenges to…

计算机视觉与模式识别 · 计算机科学 2021-11-05 L. Parisi , D. Neagu , R. Ma , F. Campean

Recent articles indicate that deep neural networks are efficient models for various learning problems. However they are often highly sensitive to various changes that cannot be detected by an independent observer. As our understanding of…

机器学习 · 计算机科学 2020-06-15 Bálint Daróczy

Adversarial training is an effective method to improve the machine learning (ML) model robustness. Most existing studies typically consider the Rectified linear unit (ReLU) activation function and centralized training environments. In this…

机器学习 · 计算机科学 2025-12-05 Long Dang , Thushari Hapuarachchi , Kaiqi Xiong , Jing Lin

Active Learning (AL) promises to reduce annotation cost by prioritizing informative samples, yet its reliability is undermined when labels are noisy or when the data distribution shifts. In practice, annotators make mistakes, rare…

机器学习 · 计算机科学 2025-10-14 Atharv Goel , Sharat Agarwal , Saket Anand , Chetan Arora

The success of deep networks has been attributed in part to their expressivity: per parameter, deep networks can approximate a richer class of functions than shallow networks. In ReLU networks, the number of activation patterns is one…

机器学习 · 统计学 2019-10-22 Boris Hanin , David Rolnick

Activation Functions introduce non-linearity in the deep neural networks. This nonlinearity helps the neural networks learn faster and efficiently from the dataset. In deep learning, many activation functions are developed and used based on…

机器学习 · 计算机科学 2025-09-29 Ravin Kumar

Deep feedforward and recurrent networks have achieved impressive results in many perception and language processing applications. This success is partially attributed to architectural innovations such as convolutional and long short-term…

Gradient-based neural network training traditionally enforces symmetry between forward and backward propagation, requiring activation functions to be differentiable (or sub-differentiable) and strictly monotonic in certain regions to…

神经与进化计算 · 计算机科学 2025-09-10 Luigi Troiano , Francesco Gissi , Vincenzo Benedetto , Genny Tortora

In this paper we investigate the family of functions representable by deep neural networks (DNN) with rectified linear units (ReLU). We give an algorithm to train a ReLU DNN with one hidden layer to *global optimality* with runtime…

机器学习 · 计算机科学 2018-03-01 Raman Arora , Amitabh Basu , Poorya Mianjy , Anirbit Mukherjee

Deep neural networks have achieved remarkable performance across various tasks when supplied with large-scale labeled data. However, the collection of labeled data can be time-consuming and labor-intensive. Semi-supervised learning (SSL),…

机器学习 · 计算机科学 2024-06-28 Chaoqi Liang , Guanglei Yang , Lifeng Qiao , Zitong Huang , Hongliang Yan , Yunchao Wei , Wangmeng Zuo

The reason behind CNNs capability to learn high-dimensional complex features from the images is the non-linearity introduced by the activation function. Several advanced activation functions have been discovered to improve the training…

机器学习 · 计算机科学 2022-11-15 Jeevanshi Sharma

We introduce SPLASH units, a class of learnable activation functions shown to simultaneously improve the accuracy of deep neural networks while also improving their robustness to adversarial attacks. SPLASH units have both a simple…

机器学习 · 计算机科学 2020-06-17 Mohammadamin Tavakoli , Forest Agostinelli , Pierre Baldi

Overparameterized ML models, including neural networks, typically induce underdetermined training objectives with multiple global minima. The implicit bias refers to the limiting global minimum that is attained by a common optimization…

机器学习 · 统计学 2026-03-06 Kuo-Wei Lai , Guanghui Wang , Molei Tao , Vidya Muthukumar

Activation functions play a crucial role in neural networks because they are the nonlinearities which have been attributed to the success story of deep learning. One of the currently most popular activation functions is ReLU, but several…

计算与语言 · 计算机科学 2019-01-10 Steffen Eger , Paul Youssef , Iryna Gurevych

Deep generative models provide powerful tools for distributions over complicated manifolds, such as those of natural images. But many of these methods, including generative adversarial networks (GANs), can be difficult to train, in part…

机器学习 · 统计学 2017-11-08 Akash Srivastava , Lazar Valkov , Chris Russell , Michael U. Gutmann , Charles Sutton

Generalization performance of classifiers in deep learning has recently become a subject of intense study. Deep models, typically over-parametrized, tend to fit the training data exactly. Despite this "overfitting", they perform well on…

机器学习 · 统计学 2018-06-18 Mikhail Belkin , Siyuan Ma , Soumik Mandal

Stable and efficient training of ReLU networks with large depth is highly sensitive to weight initialization. Improper initialization can cause permanent neuron inactivation dying ReLU and exacerbate gradient instability as network depth…

机器学习 · 计算机科学 2025-09-03 Hyungu Lee , Taehyeong Kim , Hayoung Choi

Understanding implicit bias of gradient descent for generalization capability of ReLU networks has been an important research topic in machine learning research. Unfortunately, even for a single ReLU neuron trained with the square loss, it…

机器学习 · 计算机科学 2022-06-14 Sangmin Lee , Byeongsu Sim , Jong Chul Ye

This work tackles the critical challenge of mitigating "hardware noise" in deep analog neural networks, a major obstacle in advancing analog signal processing devices. We propose a comprehensive, hardware-agnostic solution to address both…

机器学习 · 计算机科学 2024-09-16 Alice Duque , Pedro Freire , Egor Manuylovich , Dmitrii Stoliarov , Jaroslaw Prilepsky , Sergei Turitsyn

It is shown that the port behavior of a resistor-diode network corresponds to the solution of a ReLU monotone operator equilibrium network (a neural network in the limit of infinite depth), giving a parsimonious construction of a neural…

系统与控制 · 电气工程与系统科学 2025-09-18 Thomas Chaffey
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