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Neural operators have emerged as powerful tools for learning solution operators of partial differential equations. However, in time-dependent problems, standard training strategies such as teacher forcing introduce a mismatch between…

机器学习 · 计算机科学 2025-05-28 Zaijun Ye , Chen-Song Zhang , Wansheng Wang

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…

数值分析 · 数学 2024-02-02 Jianguo Huang , Yue Qiu

Neural ordinary differential equations (NODE) have garnered significant attention for their design of continuous-depth neural networks and the ability to learn data/feature dynamics. However, for high-dimensional systems, estimating…

机器学习 · 计算机科学 2025-10-07 Muhao Guo , Haoran Li , Yang Weng

Due to the computational complexity of 3D medical image segmentation, training with downsampled images is a common remedy for out-of-memory errors in deep learning. Nevertheless, as standard spatial convolution is sensitive to variations in…

图像与视频处理 · 电气工程与系统科学 2023-10-09 Ken C. L. Wong , Hongzhi Wang , Tanveer Syeda-Mahmood

Learning dynamics governed by differential equations is crucial for predicting and controlling the systems in science and engineering. Neural Ordinary Differential Equation (NODE), a deep learning model integrated with differential…

机器学习 · 计算机科学 2021-11-09 Shiqi Gong , Qi Meng , Yue Wang , Lijun Wu , Wei Chen , Zhi-Ming Ma , Tie-Yan Liu

We propose Characteristic-Neural Ordinary Differential Equations (C-NODEs), a framework for extending Neural Ordinary Differential Equations (NODEs) beyond ODEs. While NODEs model the evolution of a latent variables as the solution to an…

机器学习 · 计算机科学 2022-11-10 Xingzi Xu , Ali Hasan , Khalil Elkhalil , Jie Ding , Vahid Tarokh

The high computational cost associated with solving for detailed chemistry poses a significant challenge for predictive computational fluid dynamics (CFD) simulations of turbulent reacting flows. These models often require solving a system…

计算物理 · 物理学 2024-03-05 Tadbhagya Kumar , Anuj Kumar , Pinaki Pal

Deep learning models have emerged as the cornerstone of medical image segmentation, but their efficacy hinges on the availability of extensive manually labeled datasets and their adaptability to unforeseen categories remains a challenge.…

计算机视觉与模式识别 · 计算机科学 2024-03-07 Lev Ayzenberg , Raja Giryes , Hayit Greenspan

Neural Ordinary Differential Equations (NODEs) are a novel neural architecture, built around initial value problems with learned dynamics which are solved during inference. Thought to be inherently more robust against adversarial…

机器学习 · 计算机科学 2023-03-10 Mustafa Zeqiri , Mark Niklas Müller , Marc Fischer , Martin Vechev

Few-shot segmentation (FSS) is proposed to segment unknown class targets with just a few annotated samples. Most current FSS methods follow the paradigm of mining the semantics from the support images to guide the query image segmentation.…

计算机视觉与模式识别 · 计算机科学 2023-10-20 Hanbo Bi , Yingchao Feng , Zhiyuan Yan , Yongqiang Mao , Wenhui Diao , Hongqi Wang , Xian Sun

Few-shot learning (FSL) via customization of a deep learning network with limited data has emerged as a promising technique to achieve personalized user experiences on edge devices. However, existing FSL methods primarily assume independent…

计算机视觉与模式识别 · 计算机科学 2023-04-14 Xinyun Zhang , Lanqing Hong

Nonlinear PDE solvers require fine space-time discretizations and local linearizations, leading to high memory cost and slow runtimes. Neural operators such as FNOs and DeepONets offer fast single-shot inference by learning…

机器学习 · 计算机科学 2025-10-23 Yifei Sun

Conventional training of deep neural networks requires a large number of the annotated image which is a laborious and time-consuming task, particularly for rare objects. Few-shot object detection (FSOD) methods offer a remedy by realizing…

计算机视觉与模式识别 · 计算机科学 2023-03-21 Zeyu Shangguan , Mohammad Rostami

The scarcity of labeled clinical data in oncology makes Few-Shot Learning (FSL) a critical framework for Computer Aided Diagnostics, but we observed that standard Prototypical Networks often struggle with the "prototype instability" caused…

图像与视频处理 · 电气工程与系统科学 2026-04-21 Chinthakuntla Meghan Sai , Murarisetty V Sai Kartheek , Sita Devi Bharatula , Karthik Seemakurthy

Few-shot segmentation~(FSS) performance has been extensively promoted by introducing episodic training and class-wise prototypes. However, the FSS problem remains challenging due to three limitations: (1) Models are distracted by…

计算机视觉与模式识别 · 计算机科学 2021-06-02 Jian-Wei Zhang , Lei Lv , Yawei Luo , Hao-Zhe Feng , Yi Yang , Wei Chen

There has recently been increasing attention towards developing foundational neural Partial Differential Equation (PDE) solvers and neural operators through large-scale pretraining. However, unlike vision and language models that make use…

机器学习 · 计算机科学 2024-11-21 AmirPouya Hemmasian , Amir Barati Farimani

The deep CNNs in image semantic segmentation typically require a large number of densely-annotated images for training and have difficulties in generalizing to unseen object categories. Therefore, few-shot segmentation has been developed to…

计算机视觉与模式识别 · 计算机科学 2022-11-01 Henghui Ding , Hui Zhang , Xudong Jiang

We propose a new approach to learning the subgrid-scale model when simulating partial differential equations (PDEs) solved by the method of lines and their representation in chaotic ordinary differential equations, based on neural ordinary…

数值分析 · 数学 2023-04-14 Shinhoo Kang , Emil M. Constantinescu

Fourier Neural Operators (FNO) offer a principled approach to solving challenging partial differential equations (PDE) such as turbulent flows. At the core of FNO is a spectral layer that leverages a discretization-convergent representation…

机器学习 · 计算机科学 2024-03-06 Robert Joseph George , Jiawei Zhao , Jean Kossaifi , Zongyi Li , Anima Anandkumar

Deep learning has achieved tremendous success in computer vision, while medical image segmentation (MIS) remains a challenge, due to the scarcity of data annotations. Meta-learning techniques for few-shot segmentation (Meta-FSS) have been…

计算机视觉与模式识别 · 计算机科学 2023-03-08 Qianqian Shen , Yanan Li , Jiyong Jin , Bin Liu