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Neural network models are known to reinforce hidden data biases, making them unreliable and difficult to interpret. We seek to build models that `know what they do not know' by introducing inductive biases in the function space. We show…

机器学习 · 计算机科学 2021-12-21 Lassi Meronen , Martin Trapp , Arno Solin

Activation functions play a decisive role in determining the capacity of Deep Neural Networks as they enable neural networks to capture inherent nonlinearities present in data fed to them. The prior research on activation functions…

计算机视觉与模式识别 · 计算机科学 2023-05-31 Jamshaid Ul Rahman , Faiza Makhdoom , Dianchen Lu

Despite broad interest in applying deep learning techniques to scientific discovery, learning interpretable formulas that accurately describe scientific data is very challenging because of the vast landscape of possible functions and the…

机器学习 · 计算机科学 2021-02-17 Fuchang Gao , Boyu Zhang

In our previous work [Ma and Chan (2023)], we presented a feedforward unitary equivariant neural network. We proposed three distinct activation functions tailored for this network: a softsign function with a small residue, an identity…

机器学习 · 计算机科学 2024-11-25 Pui-Wai Ma

We propose \textbf{ULU}, a novel non-monotonic, piecewise activation function defined as $\{f(x;\alpha_1),x<0; f(x;\alpha_2),x>=0 \}$, where $f(x;\alpha)=0.5x(tanh(\alpha x)+1),\alpha >0$. ULU treats positive and negative inputs…

机器学习 · 计算机科学 2025-08-08 Simin Huo

Facial expressions are combinations of basic components called Action Units (AU). Recognizing AUs is key for developing general facial expression analysis. In recent years, most efforts in automatic AU recognition have been dedicated to…

计算机视觉与模式识别 · 计算机科学 2018-03-26 Ciprian A. Corneanu , Meysam Madadi , Sergio Escalera

As a fine-grained and local expression behavior measurement, facial action unit (FAU) analysis (e.g., detection and intensity estimation) has been documented for its time-consuming, labor-intensive, and error-prone annotation. Thus a…

计算机视觉与模式识别 · 计算机科学 2022-10-31 Bowen Ma , Rudong An , Wei Zhang , Yu Ding , Zeng Zhao , Rongsheng Zhang , Tangjie Lv , Changjie Fan , Zhipeng Hu

Activation functions have been shown to affect the performance of deep neural networks significantly. While the Rectified Linear Unit (ReLU) remains the dominant choice in practice, the optimal activation function for deep neural networks…

机器学习 · 计算机科学 2025-07-29 John Chidiac , Danielle Azar

Neural networks are generally built by interleaving (adaptable) linear layers with (fixed) nonlinear activation functions. To increase their flexibility, several authors have proposed methods for adapting the activation functions…

机器学习 · 统计学 2017-11-27 Simone Scardapane , Steven Van Vaerenbergh , Simone Totaro , Aurelio Uncini

The detection of micro-expression Action Units (AUs) is a formidable challenge in affective computing, pivotal for decoding subtle, involuntary human emotions. While Large Language Models (LLMs) demonstrate profound reasoning abilities,…

计算机视觉与模式识别 · 计算机科学 2025-07-30 Zhishu Liu , Kaishen Yuan , Bo Zhao , Yong Xu , Zitong Yu

Activation function is a pivotal component of deep learning, facilitating the extraction of intricate data patterns. While classical activation functions like ReLU and its variants are extensively utilized, their static nature and…

机器学习 · 计算机科学 2025-11-04 Barathi Subramanian , Rathinaraja Jeyaraj , Rakhmonov Akhrorjon Akhmadjon Ugli

Activation functions play an important role in training artificial neural networks. The majority of currently used activation functions are deterministic in nature, with their fixed input-output relationship. In this work, we propose a…

Facial Expression Recognition (FER) is an important task in computer vision and has wide applications in human-computer interaction, intelligent security, emotion analysis, and other fields. However, the limited size of FER datasets limits…

计算机视觉与模式识别 · 计算机科学 2023-03-21 Jun Yu , Zhongpeng Cai , Renda Li , Gongpeng Zhao , Guochen Xie , Jichao Zhu , Wangyuan Zhu

In recent years novel activation functions have been proposed to improve the performance of neural networks, and they show superior performance compared to the ReLU counterpart. However, there are environments, where the availability of…

计算机视觉与模式识别 · 计算机科学 2022-07-29 Ákos Utasi

We propose the Hyperbolic Tangent Exponential Linear Unit (TeLU), a neural network hidden activation function defined as TeLU(x)=xtanh(exp(x)). TeLU's design is grounded in the core principles of key activation functions, achieving strong…

机器学习 · 计算机科学 2025-01-03 Alfredo Fernandez , Ankur Mali

Facial action units (AUs), as defined in the Facial Action Coding System (FACS), have received significant research interest owing to their diverse range of applications in facial state analysis. Current mainstream FAU recognition models…

计算机视觉与模式识别 · 计算机科学 2024-08-02 Xuri Ge , Junchen Fu , Fuhai Chen , Shan An , Nicu Sebe , Joemon M. Jose

Dynamic Facial Expression Recognition(DFER) is a rapidly evolving field of research that focuses on the recognition of time-series facial expressions. While previous research on DFER has concentrated on feature learning from a deep learning…

计算机视觉与模式识别 · 计算机科学 2025-07-11 Feng Liu , Lingna Gu , Chen Shi , Xiaolan Fu

Expressions and facial action units (AUs) are two levels of facial behavior descriptors. Expression auxiliary information has been widely used to improve the AU detection performance. However, most existing expression representations can…

计算机视觉与模式识别 · 计算机科学 2022-10-31 Rudong An , Wei Zhang , Hao Zeng , Wei Chen , Zhigang Deng , Yu Ding

Lightweight or mobile neural networks used for real-time computer vision tasks contain fewer parameters than normal networks, which lead to a constrained performance. In this work, we proposed a novel activation function named Tanh…

机器学习 · 计算机科学 2020-09-10 Xinyu Liu , Xiaoguang Di

Most deep neural networks use simple, fixed activation functions, such as sigmoids or rectified linear units, regardless of domain or network structure. We introduce differential equation units (DEUs), an improvement to modern neural…

机器学习 · 计算机科学 2019-09-10 MohamadAli Torkamani , Shiv Shankar , Amirmohammad Rooshenas , Phillip Wallis