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The layered structure of deep neural networks hinders the use of numerous analysis tools and thus the development of its interpretability. Inspired by the success of functional brain networks, we propose a novel framework for…

Machine Learning · Computer Science 2022-05-25 Ben Zhang , Zhetong Dong , Junsong Zhang , Hongwei Lin

Partial differential equations (PDEs) govern complex systems, yet neural operators often struggle to efficiently capture the long-range, nonlocal interactions inherent in their solution maps. We introduce Spectral Filtering Operator (SFO),…

Machine Learning · Computer Science 2026-01-27 Noam Koren , Rafael Moschopoulos , Kira Radinsky , Elad Hazan

Solutions to many partial differential equations (PDEs) display coexisting smooth global transport and localized sharp features within a single trajectory: shock fronts, thin interfaces, and concentrated high-frequency content sit on top of…

Machine Learning · Computer Science 2026-05-14 Yingzhe Ma , Xiao Yang , Yuxin Xie , Zihan Xiong , Jinliang Liu

Unified multimodal models are envisioned to bridge the gap between understanding and generation. Yet, to achieve competitive performance, state-of-the-art models adopt largely decoupled understanding and generation components. This design,…

Computer Vision and Pattern Recognition · Computer Science 2026-05-08 Zeyu Liu , Zanlin Ni , Yang Yue , Cheng Da , Huan Yang , Di Zhang , Kun Gai , Gao Huang

Fully convolutional neural networks like U-Net have been the state-of-the-art methods in medical image segmentation. Practically, a network is highly specialized and trained separately for each segmentation task. Instead of a collection of…

Image and Video Processing · Electrical Eng. & Systems 2019-09-16 Chao Huang , Hu Han , Qingsong Yao , Shankuan Zhu , S. Kevin Zhou

This paper introduces decentralized and modular neural network framework designed to enhance the scalability, interpretability, and performance of artificial intelligence (AI) systems. At the heart of this framework is a dynamic switch…

Neural and Evolutionary Computing · Computer Science 2025-04-28 Surajit Majumder , Paritosh Ranjan , Prodip Roy , Bhuban Padhan

This work introduces a neural operator based surrogate modeling framework for neutron transport computation. Two architectures, the Deep Operator Network (DeepONet) and the Fourier Neural Operator (FNO), were trained for fixed source…

Computational Physics · Physics 2026-02-19 Md Hossain Sahadath , Qiyun Cheng , Shaowu Pan , Wei Ji

Physics-Informed Neural Operators provide efficient, high-fidelity simulations for systems governed by partial differential equations (PDEs). However, most existing studies focus only on multi-scale, multi-physics systems within a single…

Machine Learning · Computer Science 2025-07-08 Weidong Wu , Yong Zhang , Lili Hao , Yang Chen , Xiaoyan Sun , Dunwei Gong

Many different deep networks have been used to approximate, accelerate or improve traditional image operators, such as image smoothing, super-resolution and denoising. Among these traditional operators, many contain parameters which need to…

Computer Vision and Pattern Recognition · Computer Science 2018-08-10 Qingnan Fan , Dongdong Chen , Lu Yuan , Gang Hua , Nenghai Yu , Baoquan Chen

Fourier neural operators (FNOs) have recently been proposed as an effective framework for learning operators that map between infinite-dimensional spaces. We prove that FNOs are universal, in the sense that they can approximate any…

Numerical Analysis · Mathematics 2021-12-21 Nikola Kovachki , Samuel Lanthaler , Siddhartha Mishra

Unsupervised Domain Adaptation (UDA) addresses the problem of performance degradation due to domain shift between training and testing sets, which is common in computer vision applications. Most existing UDA approaches are based on…

Computer Vision and Pattern Recognition · Computer Science 2019-05-14 Songsong Wu , Yan Yan , Hao Tang , Jianjun Qian , Jian Zhang , Xiao-Yuan Jing

Unmanned aerial vehicles (UAVs) with on-board cameras are widely used for remote surveillance and video capturing applications. In remote virtual reality (VR) applications, multiple UAVs can be used to capture different partially…

Robotics · Computer Science 2022-11-08 Yuhui Wang , Junaid Farooq

We develop a new and general encode-approximate-reconstruct operator learning model that leverages learned neural representations of bases for input and output function distributions. We introduce the concepts of \textit{numerical operator…

Machine Learning · Computer Science 2025-07-11 Jacob Hauck , Yanzhi Zhang

A plentitude of applications in scientific computing requires the approximation of mappings between Banach spaces. Recently introduced Fourier Neural Operator (FNO) and Deep Operator Network (DeepONet) can provide this functionality. For…

Numerical Analysis · Mathematics 2024-04-02 V. Fanaskov , I. Oseledets

Many deep learning-based models have been introduced in finger vein recognition in recent years. These solutions, however, suffer from data dependency and are difficult to achieve model generalization. To address this problem, we are…

Computer Vision and Pattern Recognition · Computer Science 2022-06-03 Ziyan Chen , Jiazhen Liu , Changwen Cao , Changlong Jin , Hakil Kim

This paper presents a framework for the localization of Unmanned Aerial Vehicles (UAVs) in unstructured environments with the help of deep learning. A real-time rendering engine is introduced that generates optical and depth images given a…

Computer Vision and Pattern Recognition · Computer Science 2020-08-12 Timo Hinzmann , Roland Siegwart

Unsupervised domain adaptation (UDA) is important for applications where large scale annotation of representative data is challenging. For semantic segmentation in particular, it helps deploy on real "target domain" data models that are…

Computer Vision and Pattern Recognition · Computer Science 2019-08-20 Tuan-Hung Vu , Himalaya Jain , Maxime Bucher , Matthieu Cord , Patrick Pérez

Recent advances in 3D object detection leveraging multi-view cameras have demonstrated their practical and economical value in various challenging vision tasks. However, typical supervised learning approaches face challenges in achieving…

Computer Vision and Pattern Recognition · Computer Science 2024-10-31 Gyusam Chang , Jiwon Lee , Donghyun Kim , Jinkyu Kim , Dongwook Lee , Daehyun Ji , Sujin Jang , Sangpil Kim

Collaborative perception has recently gained significant attention in autonomous driving, improving perception quality by enabling the exchange of additional information among vehicles. However, deploying collaborative perception systems…

Computer Vision and Pattern Recognition · Computer Science 2024-11-26 Senkang Hu , Zhengru Fang , Yiqin Deng , Xianhao Chen , Yuguang Fang , Sam Kwong

Ensuring model explainability and robustness is essential for reliable deployment of deep vision systems. Current methods for evaluating robustness rely on collecting and annotating extensive test sets. While this is common practice, the…

Computer Vision and Pattern Recognition · Computer Science 2024-10-10 Yinong Oliver Wang , Eileen Li , Jinqi Luo , Zhaoning Wang , Fernando De la Torre