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In this paper, we introduces a Pseudo-Symplectic Neural Network (PSNN) for learning general Hamiltonian systems (both separable and non-separable) from data. To address the limitations of existing structure-preserving methods (e.g.,…

Numerical Analysis · Mathematics 2025-03-07 Xupeng Cheng , Lijin Wang , Yanzhao Cao , Chen Chen

Deep neural networks typically treat nonlinearities as fixed primitives (e.g., ReLU), limiting both interpretability and the granularity of control over the induced function class. While recent additive models (like KANs) attempt to address…

Machine Learning · Computer Science 2026-02-05 Jusheng Zhang , Ningyuan Liu , Qinhan Lyu , Jing Yang , Keze Wang

The activation functions are fundamental to neural networks as they introduce non-linearity into data relationships, thereby enabling deep networks to approximate complex data relations. Existing efforts to enhance neural network…

Machine Learning · Computer Science 2024-09-26 Jiayu Li , Zilong Zhao , Kevin Yee , Uzair Javaid , Biplab Sikdar

Effective activation functions introduce non-linear transformations, providing neural networks with stronger fitting capa-bilities, which help them better adapt to real data distributions. Huawei Noah's Lab believes that dynamic activation…

Computer Vision and Pattern Recognition · Computer Science 2024-09-16 Chuan Feng , Xi Lin , Shiping Zhu , Hongkang Shi , Maojie Tang , Hua Huang

With the increasing demand of massive multimodal data storage and organization, cross-modal retrieval based on hashing technique has drawn much attention nowadays. It takes the binary codes of one modality as the query to retrieve the…

Computer Vision and Pattern Recognition · Computer Science 2017-08-25 Xuelong Li , Di Hu , Feiping Nie

The mathematical complexity and high dimensionality of neural networks slow both training and deployment, demanding heavy computational resources. This has driven the search for alternative architectures built from novel components,…

Applied Physics · Physics 2025-12-15 Jake McNaughton , A. H. Abbas , Ivan S. Maksymov

Activation functions are essential to deep learning networks. Popular and versatile activation functions are mostly monotonic functions, some non-monotonic activation functions are being explored and show promising performance. But by…

Neural and Evolutionary Computing · Computer Science 2023-05-26 Junjia Chen , Zhibin Pan

Deep neural networks' remarkable ability to correctly fit training data when optimized by gradient-based algorithms is yet to be fully understood. Recent theoretical results explain the convergence for ReLU networks that are wider than…

Machine Learning · Computer Science 2021-02-09 Asaf Noy , Yi Xu , Yonathan Aflalo , Lihi Zelnik-Manor , Rong Jin

Deep Reinforcement Learning (RL) powered by neural net approximation of the Q function has had enormous empirical success. While the theory of RL has traditionally focused on linear function approximation (or eluder dimension) approaches,…

Machine Learning · Computer Science 2021-12-28 Baihe Huang , Kaixuan Huang , Sham M. Kakade , Jason D. Lee , Qi Lei , Runzhe Wang , Jiaqi Yang

Deploying deep neural networks (DNNs) on resource-constrained edge devices such as FPGAs requires a careful balance among latency, power, and hardware resource usage, while maintaining high accuracy. Existing Lookup Table (LUT)-based DNNs…

Hardware Architecture · Computer Science 2026-01-16 Binglei Lou , Ruilin Wu , Philip Leong

We have proposed orthogonal-Pad\'e activation functions, which are trainable activation functions and show that they have faster learning capability and improves the accuracy in standard deep learning datasets and models. Based on our…

Neural and Evolutionary Computing · Computer Science 2021-06-18 Koushik Biswas , Shilpak Banerjee , Ashish Kumar Pandey

Since Convolutional Neural Networks (ConvNets) are able to simultaneously learn features and classifiers to discriminate different categories of activities, recent works have employed ConvNets approaches to perform human activity…

Computer Vision and Pattern Recognition · Computer Science 2018-11-19 Artur Jordao , Ricardo Kloss , William Robson Schwartz

Large Language Models (LLMs) with billions of parameters have drastically transformed AI applications. However, their demanding computation during inference has raised significant challenges for deployment on resource-constrained devices.…

The rapid evolution of deep neural networks is demanding deep learning (DL) frameworks not only to satisfy the requirement of quickly executing large computations, but also to support straightforward programming models for quickly…

Programming Languages · Computer Science 2019-03-12 Eunji Jeong , Sungwoo Cho , Gyeong-In Yu , Joo Seong Jeong , Dong-Jin Shin , Byung-Gon Chun

Activation functions play a pivotal role in the function learning using neural networks. The non-linearity in the learned function is achieved by repeated use of the activation function. Over the years, numerous activation functions have…

Machine Learning · Computer Science 2020-10-13 Koushik Biswas , Sandeep Kumar , Shilpak Banerjee , Ashish Kumar Pandey

An appropriate choice of the activation function (like ReLU, sigmoid or swish) plays an important role in the performance of (deep) multilayer perceptrons (MLP) for classification and regression learning. Prototype-based classification…

Machine Learning · Computer Science 2019-01-21 Thomas Villmann , John Ravichandran , Andrea Villmann , David Nebel , Marika Kaden

Artificial Neural Networks (ANN) have been employed for a range of modelling and prediction tasks using financial data. However, evidence on their predictive performance, especially for time-series data, has been mixed. Whereas some…

Risk Management · Quantitative Finance 2022-05-17 Philipp Ratz

Activation functions are critical to the performance of deep neural networks, particularly in domains such as functional near-infrared spectroscopy (fNIRS), where nonlinearity, low signal-to-noise ratio (SNR), and signal variability poses…

Machine Learning · Computer Science 2025-07-16 Behtom Adeli , John McLinden , Pankaj Pandey , Ming Shao , Yalda Shahriari

In this article we study high-dimensional approximation capacities of shallow and deep artificial neural networks (ANNs) with the rectified linear unit (ReLU) activation. In particular, it is a key contribution of this work to reveal that…

Numerical Analysis · Mathematics 2023-01-23 Lukas Gonon , Robin Graeber , Arnulf Jentzen

We introduce Tuna, a static analysis approach to optimizing deep neural network programs. The optimization of tensor operations such as convolutions and matrix multiplications is the key to improving the performance of deep neural networks.…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-18 Yao Wang , Xingyu Zhou , Yanming Wang , Rui Li , Yong Wu , Vin Sharma