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Implicit neural representations (INRs) have recently emerged as a powerful tool that provides an accurate and resolution-independent encoding of data. Their robustness as general approximators has been shown in a wide variety of data…

Physics-informed neural networks (PINNs) have shown promising potential for solving partial differential equations (PDEs) using deep learning. However, PINNs face training difficulties for evolutionary PDEs, particularly for dynamical…

神经与进化计算 · 计算机科学 2023-12-25 Siqi Chen , Bin Shan , Ye Li

Reliably reconstructing physical fields from sparse sensor data is a challenge that frequently arises in many scientific domains. In practice, the process generating the data often is not understood to sufficient accuracy. Therefore, there…

机器学习 · 计算机科学 2024-01-23 Xihaier Luo , Wei Xu , Yihui Ren , Shinjae Yoo , Balu Nadiga

We apply the ultraspherical spectral method to solving time-dependent PDEs by proposing two approaches to discretization based on the method of lines and show that these approaches produce approximately same results. We analyze the…

数值分析 · 数学 2023-06-23 Lu Cheng , Kuan Xu

We present a novel approach for super-resolution that utilizes implicit neural representation (INR) to effectively reconstruct and enhance low-resolution videos and images. By leveraging the capacity of neural networks to implicitly encode…

计算机视觉与模式识别 · 计算机科学 2025-03-07 Mary Aiyetigbo , Wanqi Yuan , Feng Luo , Nianyi Li

In this work, we investigate the use of spatio-temporalImplicit Neural Representations (INRs) for dynamic X-ray computed tomography (XCT) reconstruction under interlaced acquisition schemes. The proposed approach combines ADMM-based…

图像与视频处理 · 电气工程与系统科学 2025-10-13 Mathias Boulanger , Ericmoore Jossou

Implicit Neural Representations (INRs) are increasingly recognized as a versatile data modality for representing discretized signals, offering benefits such as infinite query resolution and reduced storage requirements. Existing signal…

Event cameras sense the intensity changes asynchronously and produce event streams with high dynamic range and low latency. This has inspired research endeavors utilizing events to guide the challenging video superresolution (VSR) task. In…

计算机视觉与模式识别 · 计算机科学 2023-03-30 Yunfan Lu , Zipeng Wang , Minjie Liu , Hongjian Wang , Lin Wang

Implicit neural representations (INRs) have emerged as a powerful paradigm for medical imaging via physics-informed unsupervised learning. Classical INRs optimize an entire network from scratch for each subject, leading to inefficient…

计算机视觉与模式识别 · 计算机科学 2026-05-07 Qing Wu , Xuanyu Tian , Chenhe Du , Haonan Zhang , Xiao Wang , Le Lu , Yuyao Zhang

An implicit neural representation (INR) is a neural network that approximates a spatiotemporal function. Many memory-intensive visualization tasks, including modern 4D CT scanning methods, represent data natively as INRs. While INRs are…

机器学习 · 计算机科学 2025-12-03 Jennifer Zvonek , Andrew Gillette

Whole-slide images (WSIs) are fundamental for computational pathology, where accurate lesion segmentation is critical for clinical decision making. Existing methods partition WSIs into discrete patches, disrupting spatial continuity and…

计算机视觉与模式识别 · 计算机科学 2026-03-05 Yunheng Wu , Wenqi Huang , Liangyi Wang , Masahiro Oda , Yuichiro Hayashi , Daniel Rueckert , Kensaku Mori

Neural fields, also known as implicit neural representations (INRs), offer a powerful framework for modeling continuous geometry, but their effectiveness in high-dimensional scientific settings is limited by slow convergence and scaling…

机器学习 · 计算机科学 2026-04-23 Sophia Zorek , Kushal Vyas , Yuhao Liu , David Lenz , Tom Peterka , Guha Balakrishnan

One of the open problems in scientific computing is the long-time integration of nonlinear stochastic partial differential equations (SPDEs). We address this problem by taking advantage of recent advances in scientific machine learning and…

机器学习 · 计算机科学 2019-09-04 Dongkun Zhang , Ling Guo , George Em Karniadakis

Neural Ordinary Differential Equations (ODEs) are elegant reinterpretations of deep networks where continuous time can replace the discrete notion of depth, ODE solvers perform forward propagation, and the adjoint method enables efficient,…

Applications of Implicit Neural Representations (INRs) have emerged as a promising deep learning approach for compactly representing large volumetric datasets. These models can act as surrogates for volume data, enabling efficient storage…

机器学习 · 计算机科学 2026-01-27 Shanu Saklani , Tushar M. Athawale , Nairita Pal , David Pugmire , Christopher R. Johnson , Soumya Dutta

$\textit{Implicit neural representations}$ (INRs) aim to learn a $\textit{continuous function}$ (i.e., a neural network) to represent an image, where the input and output of the function are pixel coordinates and RGB/Gray values,…

计算机视觉与模式识别 · 计算机科学 2023-10-24 Ke Liu , Feng Liu , Haishuai Wang , Ning Ma , Jiajun Bu , Bo Han

Implicit Neural Representations (INRs) are widely used to encode data as continuous functions, enabling the visualization of large-scale multivariate scientific simulation data with reduced memory usage. However, existing INR-based methods…

计算机视觉与模式识别 · 计算机科学 2026-03-04 Hyunsoo Son , Jeonghyun Noh , Suemin Jeon , Chaoli Wang , Won-Ki Jeong

Implicit Neural Representation (INR) is an innovative approach for representing complex shapes or objects without explicitly defining their geometry or surface structure. Instead, INR represents objects as continuous functions. Previous…

计算机视觉与模式识别 · 计算机科学 2024-04-25 Hanqiu Chen , Hang Yang , Stephen Fitzmeyer , Cong Hao

Implicit neural representations (INRs) have gained prominence as a powerful paradigm in scene reconstruction and computer graphics, demonstrating remarkable results. By utilizing neural networks to parameterize data through implicit…

图像与视频处理 · 电气工程与系统科学 2023-08-01 Amirali Molaei , Amirhossein Aminimehr , Armin Tavakoli , Amirhossein Kazerouni , Bobby Azad , Reza Azad , Dorit Merhof

Solving partial differential equations (PDEs) on shapes underpins many shape analysis and engineering tasks; yet, prevailing PDE solvers operate on polygonal/triangle meshes while modern 3D assets increasingly live as neural…

机器学习 · 计算机科学 2026-05-29 Lilian Welschinger , Yilin Liu , Zican Wang , Niloy Mitra