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Building fair deep neural networks (DNNs) is a crucial step towards achieving trustworthy artificial intelligence. Delving into deeper factors that affect the fairness of DNNs is paramount and serves as the foundation for mitigating model…

Computer Vision and Pattern Recognition · Computer Science 2024-11-05 Yanbiao Ma , Licheng Jiao , Fang Liu , Lingling Li , Wenping Ma , Shuyuan Yang , Xu Liu , Puhua Chen

Neural implicit representations, which encode a surface as the level set of a neural network applied to spatial coordinates, have proven to be remarkably effective for optimizing, compressing, and generating 3D geometry. Although these…

Computer Vision and Pattern Recognition · Computer Science 2022-06-27 Nicholas Sharp , Alec Jacobson

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…

Machine Learning · Computer Science 2026-04-23 Sophia Zorek , Kushal Vyas , Yuhao Liu , David Lenz , Tom Peterka , Guha Balakrishnan

Implicit Neural Representations (INRs) encode discrete signals in a continuous manner using neural networks, demonstrating significant value across various multimedia applications. However, the vulnerability of INRs presents a critical…

Computer Vision and Pattern Recognition · Computer Science 2025-08-20 Wenyong Zhou , Yuxin Cheng , Zhengwu Liu , Taiqiang Wu , Chen Zhang , Ngai Wong

Implicit Neural Representations (INRs) have garnered significant attention for their ability to model complex signals in various domains. Recently, INR-based frameworks have shown promise in neural video compression by embedding video…

Image and Video Processing · Electrical Eng. & Systems 2025-07-25 Taiga Hayami , Kakeru Koizumi , Hiroshi Watanabe

Implicit Neural Representations (INRs) have emerged as a paradigm in knowledge representation, offering exceptional flexibility and performance across a diverse range of applications. INRs leverage multilayer perceptrons (MLPs) to model…

Computer Vision and Pattern Recognition · Computer Science 2025-02-19 Amer Essakine , Yanqi Cheng , Chun-Wun Cheng , Lipei Zhang , Zhongying Deng , Lei Zhu , Carola-Bibiane Schönlieb , Angelica I Aviles-Rivero

Physics-informed neural networks (PINNs) are an increasingly powerful way to solve partial differential equations, generate digital twins, and create neural surrogates of physical models. In this manuscript we detail the inner workings of…

Representing shapes as level sets of neural networks has been recently proved to be useful for different shape analysis and reconstruction tasks. So far, such representations were computed using either: (i) pre-computed implicit shape…

Machine Learning · Computer Science 2020-07-10 Amos Gropp , Lior Yariv , Niv Haim , Matan Atzmon , Yaron Lipman

Neural implicit representations have emerged as a powerful paradigm for 3D reconstruction. However, despite their success, existing methods fail to capture fine geometric details and thin structures, especially in scenarios where only…

Computer Vision and Pattern Recognition · Computer Science 2025-04-23 Aarya Patel , Hamid Laga , Ojaswa Sharma

Physics informed neural networks (PINNs) have recently been widely used for robust and accurate approximation of PDEs. We provide rigorous upper bounds on the generalization error of PINNs approximating solutions of the forward problem for…

Numerical Analysis · Mathematics 2023-12-07 Siddhartha Mishra , Roberto Molinaro

Implicit neural representations (INRs, also known as neural fields) have recently emerged as a powerful framework for knowledge representation, synthesis, and compression. By encoding fields as continuous functions within the weights and…

Machine Learning · Computer Science 2025-10-27 Jubilee Lee , Daniele E. Schiavazzi

Partial differential equations (PDEs) on surfaces are fundamental to scientific computing and geometry processing. A popular approach to solving PDEs on surfaces is the finite element method (FEM), where the surface is divided into discrete…

Graphics · Computer Science 2026-05-27 Pranav Jain , Navami Kairanda , Peter Yichen Chen , Oded Stein

Artificial and biological agents cannon learn given completely random and unstructured data. The structure of data is encoded in the metric relationships between data points. In the context of neural networks, neuronal activity within a…

Machine Learning · Computer Science 2022-11-03 Kosio Beshkov , Jonas Verhellen , Mikkel Elle Lepperød

Within the context of representation learning for Earth observation, geographic Implicit Neural Representations (INRs) embed low-dimensional location inputs (longitude, latitude) into high-dimensional embeddings, through models trained on…

Machine Learning · Computer Science 2026-03-03 Arjun Rao , Marc Rußwurm , Konstantin Klemmer , Esther Rolf

Shape implicit neural representations (INRs) have recently shown to be effective in shape analysis and reconstruction tasks. Existing INRs require point coordinates to learn the implicit level sets of the shape. When a normal vector is…

Computer Vision and Pattern Recognition · Computer Science 2023-05-18 Yizhak Ben-Shabat , Chamin Hewa Koneputugodage , Stephen Gould

Photo-realistic rendering and novel view synthesis play a crucial role in human-computer interaction tasks, from gaming to path planning. Neural Radiance Fields (NeRFs) model scenes as continuous volumetric functions and achieve remarkable…

Computer Vision and Pattern Recognition · Computer Science 2025-03-19 Iryna Repinetska , Anna Hilsmann , Peter Eisert

Implicit neural representation (INR), in combination with geometric rendering, has recently been employed in real-time dense RGB-D SLAM. Despite active research endeavors being made, there lacks a unified protocol for fair evaluation,…

Computer Vision and Pattern Recognition · Computer Science 2024-03-29 Tongyan Hua , Lin Wang

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…

Image and Video Processing · Electrical Eng. & Systems 2023-08-01 Amirali Molaei , Amirhossein Aminimehr , Armin Tavakoli , Amirhossein Kazerouni , Bobby Azad , Reza Azad , Dorit Merhof

We develop a general framework for data-driven approximation of input-output maps between infinite-dimensional spaces. The proposed approach is motivated by the recent successes of neural networks and deep learning, in combination with…

Numerical Analysis · Mathematics 2021-06-21 Kaushik Bhattacharya , Bamdad Hosseini , Nikola B. Kovachki , Andrew M. Stuart

Recent research has used deep learning to develop partial differential equation (PDE) models in science and engineering. The functional form of the PDE is determined by a neural network, and the neural network parameters are calibrated to…

Machine Learning · Computer Science 2023-10-17 Justin Sirignano , Jonathan MacArt , Konstantinos Spiliopoulos