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We present a conceptually simple but effective funnel activation for image recognition tasks, called Funnel activation (FReLU), that extends ReLU and PReLU to a 2D activation by adding a negligible overhead of spatial condition. The forms…

计算机视觉与模式识别 · 计算机科学 2020-07-27 Ningning Ma , Xiangyu Zhang , Jian Sun

This paper introduces a novel approach that combines unsupervised active contour models with deep learning for robust and adaptive image segmentation. Indeed, traditional active contours, provide a flexible framework for contour evolution…

计算机视觉与模式识别 · 计算机科学 2024-07-16 Antoine Habis , Vannary Meas-Yedid , Elsa Angelini , Jean-Christophe Olivo-Marin

Rectified Linear Units (ReLU) are the default choice for activation functions in deep neural networks. While they demonstrate excellent empirical performance, ReLU activations can fall victim to the dead neuron problem. In these cases, the…

机器学习 · 计算机科学 2023-02-14 Tim Whitaker , Darrell Whitley

Well-known activation functions like ReLU or Leaky ReLU are non-differentiable at the origin. Over the years, many smooth approximations of ReLU have been proposed using various smoothing techniques. We propose new smooth approximations of…

机器学习 · 计算机科学 2021-09-28 Koushik Biswas , Sandeep Kumar , Shilpak Banerjee , Ashish Kumar Pandey

We extended the work of proposed activation function, Noisy Softplus, to fit into training of layered up spiking neural networks (SNNs). Thus, any ANN employing Noisy Softplus neurons, even of deep architecture, can be trained simply by the…

神经与进化计算 · 计算机科学 2017-06-13 Qian Liu , Yunhua Chen , Steve Furber

A deep convolutional neural network (CNN) has been widely used in image classification and gives better classification accuracy than the other techniques. The softmax cross-entropy loss function is often used for classification tasks. There…

计算机视觉与模式识别 · 计算机科学 2020-04-20 Motoshi Abe , Junichi Miyao , Takio Kurita

This study explores novel activation functions that enhance the ability of neural networks to manipulate data topology during training. Building on the limitations of traditional activation functions like $\mathrm{ReLU}$, we propose…

机器学习 · 计算机科学 2025-07-18 Pavel Snopov , Oleg R. Musin

Deep learning has been widely used in many fields, but the model training process usually consumes massive computational resources and time. Therefore, designing an efficient neural network training method with a provable convergence…

机器学习 · 计算机科学 2023-07-14 Lianke Qin , Zhao Song , Yuanyuan Yang

Activation functions are fundamental to deep neural networks, governing gradient flow, optimization stability, and representational capacity. Within historic deep architectures, while ReLU has been the dominant choice for the activation…

机器学习 · 计算机科学 2026-03-10 Mingi Kang , Zai Yang , Jeova Farias Sales Rocha Neto

We derive explicit equations governing the cumulative biases and weights in Deep Learning with ReLU activation function, based on gradient descent for the Euclidean cost in the input layer, and under the assumption that the weights are, in…

机器学习 · 计算机科学 2025-01-15 Thomas Chen

Deep neural networks are known to be vulnerable to adversarially perturbed inputs. A commonly used defense is adversarial training, whose performance is influenced by model capacity. While previous works have studied the impact of varying…

机器学习 · 计算机科学 2021-10-13 Sihui Dai , Saeed Mahloujifar , Prateek Mittal

The impressive expressive power of deep neural networks (DNNs) underlies their widespread applicability. However, while the theoretical capacity of deep architectures is high, the practical expressive power achieved through successful…

机器学习 · 计算机科学 2023-12-21 Zezhong Zhang , Feng Bao , Guannan Zhang

In the architecture of deep learning models, inspired by biological neurons, activation functions (AFs) play a pivotal role. They significantly influence the performance of artificial neural networks. By modulating the non-linear properties…

机器学习 · 计算机科学 2024-07-17 M. M. Hammad

We propose a simple extension to the ReLU-family of activation functions that allows them to shift the mean activation across a layer towards zero. Combined with proper weight initialization, this alleviates the need for normalization…

机器学习 · 统计学 2018-03-16 Lars Eidnes , Arild Nøkland

In the last years, deep learning has dramatically improved the performances in a variety of medical image analysis applications. Among different types of deep learning models, convolutional neural networks have been among the most…

图像与视频处理 · 电气工程与系统科学 2021-04-23 Minh H. Vu , Gabriella Norman , Tufve Nyholm , Tommy Löfstedt

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

In this paper, we introduce a novel type of Rectified Linear Unit (ReLU), called a Dual Rectified Linear Unit (DReLU). A DReLU, which comes with an unbounded positive and negative image, can be used as a drop-in replacement for a tanh…

计算与语言 · 计算机科学 2019-03-01 Fréderic Godin , Jonas Degrave , Joni Dambre , Wesley De Neve

We propose ActiveLR, an optimization meta algorithm that localizes the learning rate, $\alpha$, and adapts them at each epoch according to whether the gradient at each epoch changes sign or not. This sign-conscious algorithm is aware of…

机器学习 · 计算机科学 2023-01-25 Davood Wadi , Marc Fredette , Sylvain Senecal

Deep learning has shown high performances in various types of tasks from visual recognition to natural language processing, which indicates superior flexibility and adaptivity of deep learning. To understand this phenomenon theoretically,…

机器学习 · 统计学 2018-10-19 Taiji Suzuki

We present a novel approach to implementing all-optical Rectified Linear Unit (ReLU) activation functions using compact doubly-resonant cavities with dimensions of approximately $10\,\mu\mathrm{m}$. Our design leverages $\chi^{(2)}$…

光学 · 物理学 2025-04-29 Amirreza Ahmadnejad , Mohmmad Mehrdad Asadi , Somayyeh Koohi