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The numerical solution of partial differential equations (PDEs) is difficult, having led to a century of research so far. Recently, there have been pushes to build neural--numerical hybrid solvers, which piggy-backs the modern trend towards…

机器学习 · 计算机科学 2023-03-21 Johannes Brandstetter , Daniel Worrall , Max Welling

Implicit Neural representations (INRs) are widely used for scientific data reduction and visualization by modeling the function that maps a spatial location to a data value. Without any prior knowledge about the spatial distribution of…

图形学 · 计算机科学 2024-02-22 Haoyu Li , Han-Wei Shen

The MRI-derived brain network serves as a pivotal instrument in elucidating both the structural and functional aspects of the brain, encompassing the ramifications of diseases and developmental processes. However, prevailing methodologies,…

机器学习 · 计算机科学 2024-05-24 Haoteng Tang , Guodong Liu , Siyuan Dai , Kai Ye , Kun Zhao , Wenlu Wang , Carl Yang , Lifang He , Alex Leow , Paul Thompson , Heng Huang , Liang Zhan

Spatio-temporal fetal brain atlases are important for characterizing normative neurodevelopment and identifying congenital anomalies. However, existing atlas construction pipelines necessitate days for slice-to-volume reconstruction (SVR)…

计算机视觉与模式识别 · 计算机科学 2026-05-12 Xiaotian Hu , Mingxuan Liu , Hongjia Yang , Juncheng Zhu , Yijin Li , Yifei Chen , Haoxiang Li , Tongxi Song , Zihan Li , Yingqi Hao , Ziyu Li , Yujin Zhang , Gang Ning , Yi Liao , Haibo Qu , Qiyuan Tian

High-dimensional spatio-temporal dynamics can often be encoded in a low-dimensional subspace. Engineering applications for modeling, characterization, design, and control of such large-scale systems often rely on dimensionality reduction to…

机器学习 · 计算机科学 2023-01-05 Shaowu Pan , Steven L. Brunton , J. Nathan Kutz

We present an approach for compressing volumetric scalar fields using implicit neural representations. Our approach represents a scalar field as a learned function, wherein a neural network maps a point in the domain to an output scalar…

机器学习 · 计算机科学 2021-04-13 Yuzhe Lu , Kairong Jiang , Joshua A. Levine , Matthew Berger

Implicit Neural Networks (INRs) have emerged as powerful representations to encode all forms of data, including images, videos, audios, and scenes. With video, many INRs for video have been proposed for the compression task, and recent…

计算机视觉与模式识别 · 计算机科学 2024-08-06 Shishira R Maiya , Anubhav Gupta , Matthew Gwilliam , Max Ehrlich , Abhinav Shrivastava

We consider the adaptive-rank integration of {2D and 3D} time-dependent advection-diffusion partial differential equations (PDEs) with variable coefficients. We employ a standard finite-difference method for spatial discretization coupled…

数值分析 · 数学 2025-10-02 Hamad El Kahza , Jing-Mei Qiu , Luis Chacon , William Taitano

There exists a correlation between geospatial activity temporal patterns and type of land use. A novel self-supervised approach is proposed to stratify landscape based on mobility activity time series. First, the time series signal is…

计算机视觉与模式识别 · 计算机科学 2024-01-18 Yi Cao , Swetava Ganguli , Vipul Pandey

Classical neural ODEs trained with explicit methods are intrinsically limited by stability, crippling their efficiency and robustness for stiff learning problems that are common in graph learning and scientific machine learning. We present…

机器学习 · 计算机科学 2024-12-17 Hong Zhang , Ying Liu , Romit Maulik

\textit{Implicit neural representations} (INRs) have emerged as a promising framework for representing signals in low-dimensional spaces. This survey reviews the existing literature on the specialized INR problem of approximating…

计算机视觉与模式识别 · 计算机科学 2025-11-11 Luiz Schirmer , Tiago Novello , Vinícius da Silva , Guilherme Schardong , Daniel Perazzo , Hélio Lopes , Nuno Gonçalves , Luiz Velho

Optimization-based approaches dominate infrared small target detection as they leverage infrared imagery's intrinsic low-rankness and sparsity. While effective for single-frame images, they struggle with dynamic changes in multi-frame…

计算机视觉与模式识别 · 计算机科学 2024-12-24 Fengyi Wu , Simin Liu , Haoan Wang , Bingjie Tao , Junhai Luo , Zhenming Peng

Implicit neural representations are powerful for geometric modeling, but their practical use is often limited by the high computational cost of network evaluations. We observe that implicit representations require progressively lower…

图形学 · 计算机科学 2026-04-30 Chuanxiang Yang , Junhui Hou , Yuan Liu , Siyu Ren , Guangshun Wei , Taku Komura , Yuanfeng Zhou , Wenping Wang

The long runtime of high-fidelity partial differential equation (PDE) solvers makes them unsuitable for time-critical applications. We propose to accelerate PDE solvers using reduced-order modeling (ROM). Whereas prior ROM approaches reduce…

Implicit neural representations (INR) have been recently proposed as deep learning (DL) based solutions for image compression. An image can be compressed by training an INR model with fewer weights than the number of image pixels to map the…

图像与视频处理 · 电气工程与系统科学 2022-10-28 Harry Gao , Weijie Gan , Zhixin Sun , Ulugbek S. Kamilov

Longitudinal image registration enables studying temporal changes in brain morphology which is useful in applications where monitoring the growth or atrophy of specific structures is important. However this task is challenging due to;…

计算机视觉与模式识别 · 计算机科学 2025-04-15 Aisha L. Shuaibu , Kieran A. Gibb , Peter A. Wijeratne , Ivor J. A. Simpson

Existing implicit neural representation (INR) methods do not fully exploit spatiotemporal redundancies in videos. Index-based INRs ignore the content-specific spatial features and hybrid INRs ignore the contextual dependency on adjacent…

计算机视觉与模式识别 · 计算机科学 2023-04-14 Qi Zhao , M. Salman Asif , Zhan Ma

Implicit Neural Representation (INR) has become a popular method for representing visual signals (e.g., 2D images and 3D scenes), demonstrating promising results in various downstream applications. Given its potential as a medium for visual…

计算机视觉与模式识别 · 计算机科学 2024-07-15 Delong Wu , Hao Zhu , Qi Zhang , You Li , Zhan Ma , Xun Cao

Implicit neural representations (INRs) have been successfully used to compress a variety of 3D surface representations such as Signed Distance Functions (SDFs), voxel grids, and also other forms of structured data such as images, videos,…

图形学 · 计算机科学 2025-04-03 Sai Karthikey Pentapati , Gregoire Phillips , Alan C. Bovik

Implicit Neural Representations (INRs) parameterize continuous signals via multilayer perceptrons (MLPs), enabling compact, resolution-independent modeling for tasks like image, audio, and 3D reconstruction. However, fitting high-resolution…

机器学习 · 计算机科学 2026-02-26 Chen Zhang , Wei Zuo , Bingyang Cheng , Yikun Wang , Wei-Bin Kou , Yik Chung WU , Ngai Wong