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ReLU (rectified linear units) neural network has received significant attention since its emergence. In this paper, a univariate ReLU (UReLU) neural network is proposed to both modelling the nonlinear dynamic system and revealing insights…

Systems and Control · Electrical Eng. & Systems 2020-03-06 Xinglong Liang , Jun Xu

Micro-expressions are brief, involuntary facial movements that typically last less than half a second and often reveal genuine emotions. Accurately recognizing these subtle expressions is critical for applications in psychology, security,…

Computer Vision and Pattern Recognition · Computer Science 2025-10-15 Vu Tram Anh Khuong , Luu Tu Nguyen , Thi Bich Phuong Man , Thanh Ha Le , Thi Duyen Ngo

Rectified activation units (rectifiers) are essential for state-of-the-art neural networks. In this work, we study rectifier neural networks for image classification from two aspects. First, we propose a Parametric Rectified Linear Unit…

Computer Vision and Pattern Recognition · Computer Science 2015-02-09 Kaiming He , Xiangyu Zhang , Shaoqing Ren , Jian Sun

Rectified linear activation units are important components for state-of-the-art deep convolutional networks. In this paper, we propose a novel S-shaped rectified linear activation unit (SReLU) to learn both convex and non-convex functions,…

Computer Vision and Pattern Recognition · Computer Science 2015-12-23 Xiaojie Jin , Chunyan Xu , Jiashi Feng , Yunchao Wei , Junjun Xiong , Shuicheng Yan

Facial micro-expressions (MEs) are involuntary facial motions revealing peoples real feelings and play an important role in the early intervention of mental illness, the national security, and many human-computer interaction systems.…

Computer Vision and Pattern Recognition · Computer Science 2022-08-22 Hanting Li , Mingzhe Sui , Zhaoqing Zhu , Feng Zhao

For most state-of-the-art architectures, Rectified Linear Unit (ReLU) becomes a standard component accompanied with each layer. Although ReLU can ease the network training to an extent, the character of blocking negative values may suppress…

Computer Vision and Pattern Recognition · Computer Science 2017-11-20 Xuanyi Dong , Guoliang Kang , Kun Zhan , Yi Yang

When a person attempts to conceal an emotion, the genuine emotion is manifest as a micro-expression. Exploration of automatic facial micro-expression recognition systems is relatively new in the computer vision domain. This is due to the…

Computer Vision and Pattern Recognition · Computer Science 2018-05-23 Sze-Teng Liong , Y. S. Gan , Wei-Chuen Yau , Yen-Chang Huang , Tan Lit Ken

Accurate medical image segmentation allows for the precise delineation of anatomical structures and pathological regions, which is essential for treatment planning, surgical navigation, and disease monitoring. Both CNN-based and…

Computer Vision and Pattern Recognition · Computer Science 2026-04-23 Libin Lan , Yanxin Li , Xiaojuan Liu , Juan Zhou , Jianxun Zhang , Nannan Huang , Yudong Zhang

We introduce the "exponential linear unit" (ELU) which speeds up learning in deep neural networks and leads to higher classification accuracies. Like rectified linear units (ReLUs), leaky ReLUs (LReLUs) and parametrized ReLUs (PReLUs), ELUs…

Machine Learning · Computer Science 2016-02-23 Djork-Arné Clevert , Thomas Unterthiner , Sepp Hochreiter

Micro-Expression (ME) is the spontaneous, involuntary movement of a face that can reveal the true feeling. Recently, increasing researches have paid attention to this field combing deep learning techniques. Action units (AUs) are the…

Computer Vision and Pattern Recognition · Computer Science 2020-04-21 Ling Lo , Hong-Xia Xie , Hong-Han Shuai , Wen-Huang Cheng

Automatic facial expression recognition (FER) has gained much attention due to its applications in human-computer interaction. Among the approaches to improve FER tasks, this paper focuses on deep architecture with the attention mechanism.…

Computer Vision and Pattern Recognition · Computer Science 2026-03-09 Luan Pham , The Huynh Vu , Tuan Anh Tran

Micro-expression recognition (MER) is valuable because micro-expressions (MEs) can reveal genuine emotions. Most works take image sequences as input and cannot effectively explore ME information because subtle ME-related motions are easily…

Computer Vision and Pattern Recognition · Computer Science 2023-03-06 Jinsheng Wei , Wei Peng , Guanming Lu , Yante Li , Jingjie Yan , Guoying Zhao

We study neural networks with trainable low-degree rational activation functions and show that they are more expressive and parameter-efficient than modern piecewise-linear and smooth activations such as ELU, LeakyReLU, LogSigmoid, PReLU,…

Machine Learning · Computer Science 2026-02-16 Maosen Tang , Alex Townsend

Unlike macro-expression, micro-expression does not follow a strictly consistent mapping rule between emotions and Action Units (AUs). As a result, some micro-expressions share identical AUs yet represent completely opposite emotional…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Chenxing Hu , Kun Xie , Qiguang Miao , Ruyi Liu , Quan Wang , Zongkai Yang

Facial expression recognition (FER) is still one challenging research due to the small inter-class discrepancy in the facial expression data. In view of the significance of facial crucial regions for FER, many existing researches utilize…

Computer Vision and Pattern Recognition · Computer Science 2024-04-02 Guanghui Shi , Shasha Mao , Shuiping Gou , Dandan Yan , Licheng Jiao , Lin Xiong

As a spontaneous expression of emotion on face, micro-expression reveals the underlying emotion that cannot be controlled by human. In micro-expression, facial movement is transient and sparsely localized through time. However, the existing…

Computer Vision and Pattern Recognition · Computer Science 2021-03-16 Min Peng , Chongyang Wang , Yuan Gao , Tao Bi , Tong Chen , Yu Shi , Xiang-Dong Zhou

Micro-expression recognition (MER) is a highly challenging task in affective computing. With the reduced-sized micro-expression (ME) input that contains key information based on key-frame indexes, key-frame-based methods have significantly…

Computer Vision and Pattern Recognition · Computer Science 2025-08-12 Zheyuan Zhang , Weihao Tang , Hong Chen

Activation functions play a key role in providing remarkable performance in deep neural networks, and the rectified linear unit (ReLU) is one of the most widely used activation functions. Various new activation functions and improvements on…

Machine Learning · Computer Science 2019-08-27 Yang Liu , Jianpeng Zhang , Chao Gao , Jinghua Qu , Lixin Ji

Facial micro-expression (ME) recognition has posed a huge challenge to researchers for its subtlety in motion and limited databases. Recently, handcrafted techniques have achieved superior performance in micro-expression recognition but at…

Computer Vision and Pattern Recognition · Computer Science 2018-05-23 Huai-Qian Khor , John See , Raphael C. W. Phan , Weiyao Lin

We develop a corrective mechanism for neural network approximation: the total available non-linear units are divided into multiple groups and the first group approximates the function under consideration, the second group approximates the…

Machine Learning · Computer Science 2020-06-23 Guy Bresler , Dheeraj Nagaraj