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Detecting action units (AUs) on human faces is challenging because various AUs make subtle facial appearance change over various regions at different scales. Current works have attempted to recognize AUs by emphasizing important regions.…

Computer Vision and Pattern Recognition · Computer Science 2019-08-27 Chen Ma , Li Chen , Junhai Yong

This paper analyzes representations of continuous piecewise linear functions with infinite width, finite cost shallow neural networks using the rectified linear unit (ReLU) as an activation function. Through its integral representation, a…

Machine Learning · Computer Science 2023-09-26 Sarah McCarty

As a critical psychological stress response, micro-expressions (MEs) are fleeting and subtle facial movements revealing genuine emotions. Automatic ME recognition (MER) holds valuable applications in fields such as criminal investigation…

Human-Computer Interaction · Computer Science 2025-05-12 Shifeng Liu , Xinglong Mao , Sirui Zhao , Peiming Li , Tong Xu , Enhong Chen

Image restoration (IR) is a long-standing task to recover a high-quality image from its corrupted observation. Recently, transformer-based algorithms and some attention-based convolutional neural networks (CNNs) have presented promising…

Computer Vision and Pattern Recognition · Computer Science 2025-05-19 Fangwei Hao , Ji Du , Weiyun Liang , Jing Xu , Xiaoxuan Xu

Nonlinear activation functions are widely recognized for enhancing the expressivity of neural networks, which is the primary reason for their widespread implementation. In this work, we focus on ReLU activation and reveal a novel and…

Machine Learning · Computer Science 2025-10-22 Chaoyue Liu , Han Bi , Like Hui , Xiao Liu

Recent studies have shown that the choice of activation function can significantly affect the performance of deep learning networks. However, the benefits of novel activation functions have been inconsistent and task dependent, and…

Machine Learning · Computer Science 2022-01-25 Garrett Bingham , Risto Miikkulainen

Implicit neural representation, which expresses an image as a continuous function rather than a discrete grid form, is widely used for image processing. Despite its outperforming results, there are still remaining limitations on restoring…

Computer Vision and Pattern Recognition · Computer Science 2022-09-26 Wonjoon Chang , Dahee Kwon , Bumjin Park

Convolutional neural networks (CNN) are capable of learning robust representation with different regularization methods and activations as convolutional layers are spatially correlated. Based on this property, a large variety of regional…

Computer Vision and Pattern Recognition · Computer Science 2020-04-07 Devesh Walawalkar , Zhiqiang Shen , Zechun Liu , Marios Savvides

When optimizing a nonlinear objective, one can employ a neural network as a surrogate for the nonlinear function. However, the resulting optimization model can be time-consuming to solve globally with exact methods. As a result, local…

Optimization and Control · Mathematics 2026-03-19 Jiatai Tong , Yilin Zhu , Thiago Serra , Samuel Burer

Change Detection is a crucial but extremely challenging task of remote sensing image analysis, and much progress has been made with the rapid development of deep learning. However, most existing deep learning-based change detection methods…

Computer Vision and Pattern Recognition · Computer Science 2024-04-30 Yuhang Gan , Wenjie Xuan , Hang Chen , Juhua Liu , Bo Du

Convolutional Neural Networks (CNNs) perform very well in image classification and object detection in recent years, but even the most advanced models have limited rotation invariance. Known solutions include the enhancement of training…

Computer Vision and Pattern Recognition · Computer Science 2022-02-28 Zongbo Hao , Tao Zhang , Mingwang Chen , Kaixu Zhou

We study optimization problems where the objective function is modeled through feedforward neural networks with rectified linear unit (ReLU) activation. Recent literature has explored the use of a single neural network to model either…

Machine Learning · Computer Science 2022-05-11 Keliang Wang , Leonardo Lozano , Carlos Cardonha , David Bergman

Fine-grained image recognition is central to many multimedia tasks such as search, retrieval and captioning. Unfortunately, these tasks are still challenging since the appearance of samples of the same class can be more different than those…

Computer Vision and Pattern Recognition · Computer Science 2019-07-31 Pau Rodríguez López , Diego Velazquez Dorta , Guillem Cucurull Preixens , Josep M. Gonfaus , F. Xavier Roca Marva , Jordi Gonzàlez Sabaté

This paper investigates a perceptron, a simple neural network model, with ReLU activation and a ridge-regularized mean squared error (RR-MSE). Our approach leverages the fact that the RR-MSE for ReLU perceptron is piecewise polynomial,…

Machine Learning · Statistics 2025-08-26 Ryoya Fukasaku , Yutaro Kabata , Akifumi Okuno

This paper proposes a learnable nonlinear activation mechanism specifically for convolutional neural network (CNN) termed as LENI, which learns to enhance the negative information in CNNs. In sharp contrast to ReLU which cuts off the…

Computer Vision and Pattern Recognition · Computer Science 2023-06-21 Zhicheng Cai , Chenglei Peng , Qiu Shen

Recently, online learning is very popular, especially under the global epidemic of COVID-19. Besides knowledge distribution, emotion interaction is also very important. It can be obtained by employing Facial Expression Recognition (FER).…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Yi Huo , Lei Zhang

Biomedical image segmentation is critical for precise structure delineation and downstream analysis. Traditional methods often struggle with noisy data, while deep learning models such as U-Net have set new benchmarks in segmentation…

Computer Vision and Pattern Recognition · Computer Science 2025-11-10 Shuo Zhao , Yu Zhou , Jianxu Chen

The recent development of light-weighted neural networks has promoted the applications of deep learning under resource constraints and mobile applications. Many of these applications need to perform a real-time and efficient prediction for…

Computer Vision and Pattern Recognition · Computer Science 2020-06-05 Weihao Jiang , Zhaozhi Xie , Yaoyi Li , Chang Liu , Hongtao Lu

Non-linear activation functions, e.g., Sigmoid, ReLU, and Tanh, have achieved great success in neural networks (NNs). Due to the complex non-linear characteristic of samples, the objective of those activation functions is to project samples…

Machine Learning · Computer Science 2022-03-23 Tiantian He , Zhibin Li , Yongshun Gong , Yazhou Yao , Xiushan Nie , Yilong Yin

In recent years, the computational demands of deep learning applications have necessitated the introduction of energy-efficient hardware accelerators. Optical neural networks are a promising option; however, thus far they have been largely…