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We present PFNN, a penalty-free neural network method, to efficiently solve a class of second-order boundary-value problems on complex geometries. To reduce the smoothness requirement, the original problem is reformulated to a weak form so…

Numerical Analysis · Mathematics 2021-02-03 Hailong Sheng , Chao Yang

The success of deep neural networks (DNNs) is attributable to three factors: increased compute capacity, more complex models, and more data. These factors, however, are not always present, especially for edge applications such as autonomous…

Computer Vision and Pattern Recognition · Computer Science 2019-08-26 Bichen Wu

The tsNET algorithm utilizes t-SNE to compute high-quality graph drawings, preserving the neighborhood and clustering structure. We present three fast algorithms for reducing the time complexity of tsNET algorithm from O(nm) time to O(n log…

Data Structures and Algorithms · Computer Science 2025-09-25 Amyra Meidiana , Seok-Hee Hong , Kwan-Liu Ma

Diffractive deep neural network (DNNet) is a novel machine learning framework on the modulation of optical transmission. Diffractive network would get predictions at the speed of light. It's pure passive architecture, no additional power…

Machine Learning · Computer Science 2019-12-24 Yingshi Chen , Jinfeng Zhu

Detecting small targets in drone imagery is challenging due to low resolution, complex backgrounds, and dynamic scenes. We propose EDNet, a novel edge-target detection framework built on an enhanced YOLOv10 architecture, optimized for…

Computer Vision and Pattern Recognition · Computer Science 2025-01-13 Zhifan Song , Yuan Zhang , Abd Al Rahman M. Abu Ebayyeh

Low-latency, low-power portable recurrent neural network (RNN) accelerators offer powerful inference capabilities for real-time applications such as IoT, robotics, and human-machine interaction. We propose a lightweight Gated Recurrent Unit…

Hardware Architecture · Computer Science 2020-12-29 Chang Gao , Antonio Rios-Navarro , Xi Chen , Shih-Chii Liu , Tobi Delbruck

We introduce OS-net (Orbitally Stable neural NETworks), a new family of neural network architectures specifically designed for periodic dynamical data. OS-net is a special case of Neural Ordinary Differential Equations (NODEs) and takes…

Dynamical Systems · Mathematics 2023-09-27 Marieme Ngom , Carlo Graziani

Fast and accurate predictions for complex physical dynamics are a significant challenge across various applications. Real-time prediction on resource-constrained hardware is even more crucial in real-world problems. The deep operator…

Machine Learning · Computer Science 2023-12-27 Jae Yong Lee , Sung Woong Cho , Hyung Ju Hwang

Neural Networks (NNs) can be used to solve Ordinary and Partial Differential Equations (ODEs and PDEs) by redefining the question as an optimization problem. The objective function to be optimized is the sum of the squares of the PDE to be…

Machine Learning · Computer Science 2021-03-17 Veronica Guidetti , Francesco Muia , Yvette Welling , Alexander Westphal

To understand the fundamental trade-offs between training stability, temporal dynamics and architectural complexity of recurrent neural networks~(RNNs), we directly analyze RNN architectures using numerical methods of ordinary differential…

Machine Learning · Computer Science 2019-05-01 Murphy Yuezhen Niu , Lior Horesh , Isaac Chuang

We propose a machine learning framework to accelerate numerical computations of time-dependent ODEs and PDEs. Our method is based on recasting (generalizations of) existing numerical methods as artificial neural networks, with a set of…

Numerical Analysis · Mathematics 2019-03-08 Siddhartha Mishra

Neural operators (NO) are discretization invariant deep learning methods with functional output and can approximate any continuous operator. NO have demonstrated the superiority of solving partial differential equations (PDEs) over other…

Numerical Analysis · Mathematics 2024-02-02 Jianguo Huang , Yue Qiu

Overlays have shown significant promise for field-programmable gate-arrays (FPGAs) as they allow for fast development cycles and remove many of the challenges of the traditional FPGA hardware design flow. However, this often comes with a…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-18 Mohamed S. Abdelfattah , David Han , Andrew Bitar , Roberto DiCecco , Shane OConnell , Nitika Shanker , Joseph Chu , Ian Prins , Joshua Fender , Andrew C. Ling , Gordon R. Chiu

Neural differential equations are a promising new member in the neural network family. They show the potential of differential equations for time series data analysis. In this paper, the strength of the ordinary differential equation (ODE)…

Machine Learning · Computer Science 2020-05-21 Mansura Habiba , Barak A. Pearlmutter

Deep reinforcement learning has achieved remarkable performance in various domains by leveraging deep neural networks for approximating value functions and policies. However, using neural networks to approximate value functions or policy…

Machine Learning · Computer Science 2023-10-31 Yiqin Tan , Ling Pan , Longbo Huang

The continued need for improvements in accuracy, throughput, and efficiency of Deep Neural Networks has resulted in a multitude of methods that make the most of custom architectures on FPGAs. These include the creation of hand-crafted…

Hardware Architecture · Computer Science 2025-04-15 Benjamin Biggs , Christos-Savvas Bouganis , George A. Constantinides

We propose a reconfigurable hardware architecture for deep neural networks (DNNs) capable of online training and inference, which uses algorithmically pre-determined, structured sparsity to significantly lower memory and computational…

Neural and Evolutionary Computing · Computer Science 2017-11-07 Sourya Dey , Yinan Shao , Keith M. Chugg , Peter A. Beerel

Real-time object localization on edge devices is fundamental for numerous applications, ranging from surveillance to industrial automation. Traditional frameworks, such as object detection, segmentation, and keypoint detection, struggle in…

Computer Vision and Pattern Recognition · Computer Science 2024-11-26 Chen Xin , Thomas Motz , Andreas Hartel , Enkelejda Kasneci

Current methodologies in point cloud analysis predominantly explore 3D geometries, often achieved through the introduction of intricate learnable geometric extractors in the encoder or by deepening networks with repeated blocks. However,…

Computer Vision and Pattern Recognition · Computer Science 2023-12-21 Lipeng Gu , Xuefeng Yan , Liangliang Nan , Dingkun Zhu , Honghua Chen , Weiming Wang , Mingqiang Wei

Residual networks (ResNets) have displayed impressive results in pattern recognition and, recently, have garnered considerable theoretical interest due to a perceived link with neural ordinary differential equations (neural ODEs). This link…

Machine Learning · Computer Science 2021-06-11 Alain-Sam Cohen , Rama Cont , Alain Rossier , Renyuan Xu