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It is common practice in deep learning to represent a measurement of the world on a discrete grid, e.g. a 2D grid of pixels. However, the underlying signal represented by these measurements is often continuous, e.g. the scene depicted in an…

Machine Learning · Computer Science 2022-11-11 Emilien Dupont , Hyunjik Kim , S. M. Ali Eslami , Danilo Rezende , Dan Rosenbaum

Research in medical imaging primarily focuses on discrete data representations that poorly scale with grid resolution and fail to capture the often continuous nature of the underlying signal. Neural Fields (NFs) offer a powerful alternative…

Image and Video Processing · Electrical Eng. & Systems 2026-03-06 Paul Friedrich , Florentin Bieder , Julian McGinnis , Julia Wolleb , Daniel Rueckert , Philippe C. Cattin

Neural models learn data representations that lie on low-dimensional manifolds, yet modeling the relation between these representational spaces is an ongoing challenge. By integrating spectral geometry principles into neural modeling, we…

Machine Learning · Computer Science 2025-07-15 Marco Fumero , Marco Pegoraro , Valentino Maiorca , Francesco Locatello , Emanuele Rodolà

Integrating functions on discrete domains into neural networks is key to developing their capability to reason about discrete objects. But, discrete domains are (1) not naturally amenable to gradient-based optimization, and (2) incompatible…

Machine Learning · Computer Science 2022-11-15 Nikolaos Karalias , Joshua Robinson , Andreas Loukas , Stefanie Jegelka

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…

Machine Learning · Computer Science 2021-04-13 Yuzhe Lu , Kairong Jiang , Joshua A. Levine , Matthew Berger

Implicit neural representations (INRs) have emerged as a powerful framework for continuous image representation learning. In Functa-based approaches, each image is encoded as a latent modulation vector that conditions a shared INR, enabling…

Computer Vision and Pattern Recognition · Computer Science 2026-03-30 Julia Wolleb , Cristiana Baloescu , Alicia Durrer , Hemant D. Tagare , Xenophon Papademetris

The inference structures and computational complexity of existing deep neural networks, once trained, are fixed and remain the same for all test images. However, in practice, it is highly desirable to establish a progressive structure for…

Computer Vision and Pattern Recognition · Computer Science 2018-04-27 Zhi Zhang , Guanghan Ning , Yigang Cen , Yang Li , Zhiqun Zhao , Hao Sun , Zhihai He

Neural fields, which represent signals as a function parameterized by a neural network, are a promising alternative to traditional discrete vector or grid-based representations. Compared to discrete representations, neural representations…

Machine Learning · Computer Science 2023-09-14 Jeffrey Gu , Kuan-Chieh Wang , Serena Yeung

The recent success of neural networks as implicit representation of data has driven growing interest in neural functionals: models that can process other neural networks as input by operating directly over their weight spaces. Nevertheless,…

Machine Learning · Computer Science 2023-05-24 Allan Zhou , Kaien Yang , Yiding Jiang , Kaylee Burns , Winnie Xu , Samuel Sokota , J. Zico Kolter , Chelsea Finn

Function fitting/approximation plays a fundamental role in computer graphics and other engineering applications. While recent advances have explored neural networks to address this task, these methods often rely on architectures with many…

Graphics · Computer Science 2025-05-28 Biao Zhang , Peter Wonka

Neural implicit functions have demonstrated significant importance in various areas such as computer vision, graphics. Their advantages include the ability to represent complex shapes and scenes with high fidelity, smooth interpolation…

Computer Vision and Pattern Recognition · Computer Science 2026-03-04 Qi Ma , Danda Pani Paudel , Ender Konukoglu , Luc Van Gool

Feature representations, both hand-designed and learned ones, are often hard to analyze and interpret, even when they are extracted from visual data. We propose a new approach to study image representations by inverting them with an…

Neural and Evolutionary Computing · Computer Science 2016-04-28 Alexey Dosovitskiy , Thomas Brox

Deep neural networks implement a sequence of layer-by-layer operations that are each relatively easy to understand, but the resulting overall computation is generally difficult to understand. We consider a simple hypothesis for interpreting…

Machine Learning · Computer Science 2022-11-29 Richard D. Lange , Devin Kwok , Jordan Matelsky , Xinyue Wang , David S. Rolnick , Konrad P. Kording

While the last five years have seen considerable progress in understanding the internal representations of deep learning models, many questions remain. This is especially true when trying to understand the impact of model design choices,…

Machine Learning · Computer Science 2023-12-08 Henry Kvinge , Grayson Jorgenson , Davis Brown , Charles Godfrey , Tegan Emerson

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

The explosive growth of computation and energy cost of artificial intelligence has spurred strong interests in new computing modalities as potential alternatives to conventional electronic processors. Photonic processors that execute…

Computer Vision and Pattern Recognition · Computer Science 2024-01-02 Kaixuan Wei , Xiao Li , Johannes Froech , Praneeth Chakravarthula , James Whitehead , Ethan Tseng , Arka Majumdar , Felix Heide

Existing digital sensors capture images at fixed spatial and spectral resolutions (e.g., RGB, multispectral, and hyperspectral images), and each combination requires bespoke machine learning models. Neural Implicit Functions partially…

Computer Vision and Pattern Recognition · Computer Science 2023-10-03 Gengchen Mai , Ni Lao , Weiwei Sun , Yuchi Ma , Jiaming Song , Chenlin Meng , Hongxu Ma , Jinmeng Rao , Ziyuan Li , Stefano Ermon

Neural implicit shape representations are an emerging paradigm that offers many potential benefits over conventional discrete representations, including memory efficiency at a high spatial resolution. Generalizing across shapes with such…

Computer Vision and Pattern Recognition · Computer Science 2020-06-18 Vincent Sitzmann , Eric R. Chan , Richard Tucker , Noah Snavely , Gordon Wetzstein

Recently, deep-learning-based approaches have been widely studied for deformable image registration task. However, most efforts directly map the composite image representation to spatial transformation through the convolutional neural…

Image and Video Processing · Electrical Eng. & Systems 2022-07-08 Jiashun Chen , Donghuan Lu , Yu Zhang , Dong Wei , Munan Ning , Xinyu Shi , Zhe Xu , Yefeng Zheng

Neural fields, a category of neural networks trained to represent high-frequency signals, have gained significant attention in recent years due to their impressive performance in modeling complex 3D data, such as signed distance (SDFs) or…

Computer Vision and Pattern Recognition · Computer Science 2024-02-13 Marko Mihajlovic , Sergey Prokudin , Marc Pollefeys , Siyu Tang
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