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Conventional research attributes the improvements of generalization ability of deep neural networks either to powerful optimizers or the new network design. Different from them, in this paper, we aim to link the generalization ability of a…

Machine Learning · Computer Science 2018-11-06 Hui-Ling Zhen , Xi Lin , Alan Z. Tang , Zhenhua Li , Qingfu Zhang , Sam Kwong

Activation functions are crucial in graph neural networks (GNNs) as they allow defining a nonlinear family of functions to capture the relationship between the input graph data and their representations. This paper proposes activation…

Signal Processing · Electrical Eng. & Systems 2020-09-16 Bianca Iancu , Luana Ruiz , Alejandro Ribeiro , Elvin Isufi

Nonlinear optics underpins a broad range of photonic technologies, from classical and quantum light sources to emerging nonlinear photonic neural networks. Yet, conventional nonlinear optical devices exhibit static functionality: their…

The rapid scaling of deep neural networks comes at the cost of unsustainable power consumption. While optical neural networks offer an alternative, their capabilities remain constrained by the lack of efficient optical nonlinearities. To…

Optics · Physics 2026-01-06 Qingyi Zhou , Jungmin Kim , Yutian Tao , Guoming Huang , Ming Zhou , Zewei Shao , Zongfu Yu

An activation function is a crucial component of a neural network that introduces non-linearity in the network. The state-of-the-art performance of a neural network depends also on the perfect choice of an activation function. We propose…

Neural and Evolutionary Computing · Computer Science 2022-03-25 Koushik Biswas , Sandeep Kumar , Shilpak Banerjee , Ashish Kumar Pandey

Spiking neural networks encode information in spike timing and offer a pathway toward energy efficient artificial intelligence. However, a key challenge in spiking neural networks is realizing nonlinear and expressive computation in…

Neural and Evolutionary Computing · Computer Science 2026-04-06 Steven Louis , Hannah Bradley , Artem Litvinenko , Cody Trevillian , Darrin Hanna , Vasyl Tyberkevych

In this paper, we introduce "Power Linear Unit" (PoLU) which increases the nonlinearity capacity of a neural network and thus helps improving its performance. PoLU adopts several advantages of previously proposed activation functions.…

Machine Learning · Computer Science 2018-02-02 Yikang Li , Pak Lun Kevin Ding , Baoxin Li

Software-implementation, via neural networks, of brain-inspired computing approaches underlie many important modern-day computational tasks, from image processing to speech recognition, artificial intelligence and deep learning…

Optics · Physics 2021-02-19 J. Feldmann , N. Youngblood , C. D. Wright , H. Bhaskaran , W. H. P. Pernice

Tunable nonlinearity facilitates the creation of reconfigurable nonlinear metasurfaces, enabling innovative applications in signal processing, light switching, and sensing. This paper presents a novel approach to electrically modulate SHG…

Nonlinear systems, transforming an input signal into a high-dimensional output feature space, can be used for non-conventional computing. This approach, however, requires a change of system parameters during training rather than…

Optics · Physics 2025-05-30 S. Bogdanov , E. Manuylovich , S. K. Turitsyn

We propose and experimentally demonstrate a nonlinear-optics approach to pattern recognition with single-pixel imaging and deep neural network. It employs mode selective image up-conversion to project a raw image onto a set of coherent…

Optics · Physics 2021-02-03 Ting Bu , Santosh Kumar , He Zhang , Irwin Huang , Yuping Huang

This paper addresses the limitations in Optical Neural Networks (ONNs) related to training efficiency, nonlinear function implementation, and large input data processing. We introduce Two-Pass Forward Propagation, a novel training method…

Machine Learning · Computer Science 2024-08-19 Amirreza Ahmadnejad , Somayyeh Koohi

Digital signal processing is the cornerstone of several modern-day technologies, yet in multiple applications it faces critical bottlenecks related to memory and speed constraints. Thanks to recent advances in metasurface design and…

Artificial neural networks typically have a fixed, non-linear activation function at each neuron. We have designed a novel form of piecewise linear activation function that is learned independently for each neuron using gradient descent.…

Neural and Evolutionary Computing · Computer Science 2015-04-22 Forest Agostinelli , Matthew Hoffman , Peter Sadowski , Pierre Baldi

Transformers have emerged as the dominant neural-network architecture, achieving state-of-the-art performance in language processing and computer vision. At the core of these models lies the attention mechanism, which requires a nonlinear,…

Machine Learning · Computer Science 2026-04-13 Luis Mickeler , Kai Lion , Alfonso Nardi , Jost Kellner , Pierre Didier , Bhavin J. Shastri , Niao He , Rachel Grange

Optical fibers have been enabling numerous distinguished applications involving the operation and generation of light, such as soliton transmission, light amplification, all-optical switching and supercontinuum generation. The active…

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

Optics is an exciting route for the next generation of computing hardware for machine learning, promising several orders of magnitude enhancement in both computational speed and energy efficiency. However, to reach the full capacity of an…

Optics · Physics 2025-02-07 James Spall , Xianxin Guo , A. I. Lvovsky

Common nonlinear activation functions used in neural networks can cause training difficulties due to the saturation behavior of the activation function, which may hide dependencies that are not visible to vanilla-SGD (using first order…

Machine Learning · Computer Science 2016-04-05 Caglar Gulcehre , Marcin Moczulski , Misha Denil , Yoshua Bengio

Optics and photonics has recently captured interest as a platform to accelerate linear matrix processing, that has been deemed as a bottleneck in traditional digital electronic architectures. In this paper, we propose an all-photonic…