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Implicit neural representations (INR) suffer from worsening spectral bias, which results in overly smooth solutions to the inverse problem. To deal with this problem, we propose a universal framework for processing inverse problems called…

Machine Learning · Computer Science 2024-04-24 Yang Chen , Ruituo Wu , Yipeng Liu , Ce Zhu

We introduce Neural Representation of Distribution (NeRD) technique, a module for convolutional neural networks (CNNs) that can estimate the feature distribution by optimizing an underlying function mapping image coordinates to the feature…

Image and Video Processing · Electrical Eng. & Systems 2021-03-10 Hang Zhang , Rongguang Wang , Jinwei Zhang , Chao Li , Gufeng Yang , Pascal Spincemaille , Thanh Nguyen , Yi Wang

Implicit neural representations (INRs) have recently emerged as a promising alternative to classical discretized representations of signals. Nevertheless, despite their practical success, we still do not understand how INRs represent…

Machine Learning · Computer Science 2022-03-28 Gizem Yüce , Guillermo Ortiz-Jiménez , Beril Besbinar , Pascal Frossard

Recent work in Deep Learning has re-imagined the representation of data as functions mapping from a coordinate space to an underlying continuous signal. When such functions are approximated by neural networks this introduces a compelling…

Machine Learning · Statistics 2022-08-09 Jonathan Richard Schwarz , Yee Whye Teh

The state-of-the-art deep neural networks (DNNs) have been widely applied for various real-world applications, and achieved significant performance for cognitive problems. However, the increment of DNNs' width and depth in architecture…

Machine Learning · Computer Science 2021-11-15 Xiao Peng Li , Qi Liu , Hing Cheung So

Deep Neural Networks (DNNs) demonstrate remarkable capabilities in learning complex hierarchical data representations, but the nature of these representations remains largely unknown. Existing global explainability methods, such as Network…

Machine Learning · Computer Science 2024-01-19 Kirill Bykov , Laura Kopf , Shinichi Nakajima , Marius Kloft , Marina M. -C. Höhne

High dimensional data analysis for exploration and discovery includes three fundamental tasks: dimensionality reduction, clustering, and visualization. When the three associated tasks are done separately, as is often the case thus far,…

Machine Learning · Computer Science 2020-12-02 Stan Z. Li , Lirong Wu , Zelin Zang

The storage of medical images is one of the challenges in the medical imaging field. There are variable works that use implicit neural representation (INR) to compress volumetric medical images. However, there is room to improve the…

Image and Video Processing · Electrical Eng. & Systems 2024-03-14 Armin Sheibanifard , Hongchuan Yu

Signal compression based on implicit neural representation (INR) is an emerging technique to represent multimedia signals with a small number of bits. While INR-based signal compression achieves high-quality reconstruction for relatively…

Image and Video Processing · Electrical Eng. & Systems 2024-12-31 Takuya Fujihashi , Toshiaki Koike-Akino

This paper proposes a novel method for learning highly nonlinear, multivariate functions from examples. Our method takes advantage of the property that continuous functions can be approximated by polynomials, which in turn are representable…

Machine Learning · Computer Science 2020-05-05 Sandor Szedmak , Anna Cichonska , Heli Julkunen , Tapio Pahikkala , Juho Rousu

Implicit Neural Representations (INRs) are a versatile and powerful tool for encoding various forms of data, including images, videos, sound, and 3D shapes. A critical factor in the success of INRs is the initialization of the network,…

Computer Vision and Pattern Recognition · Computer Science 2025-04-29 Chamin Hewa Koneputugodage , Yizhak Ben-Shabat , Sameera Ramasinghe , Stephen Gould

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

We study the interpolation capabilities of implicit neural representations (INRs) of images. In principle, INRs promise a number of advantages, such as continuous derivatives and arbitrary sampling, being freed from the restrictions of a…

Image and Video Processing · Electrical Eng. & Systems 2024-05-02 Lorenzo Luzi , Daniel LeJeune , Ali Siahkoohi , Sina Alemohammad , Vishwanath Saragadam , Hossein Babaei , Naiming Liu , Zichao Wang , Richard G. Baraniuk

Artifacts pose a significant challenge in medical imaging, impacting diagnostic accuracy and downstream analysis. While image-based approaches for detecting artifacts can be effective, they often rely on preprocessing methods that can lead…

Image and Video Processing · Electrical Eng. & Systems 2025-08-08 Caner Özer , Patryk Rygiel , Bram de Wilde , İlkay Öksüz , Jelmer M. Wolterink

Implicit Neural Representations (INRs) have recently exhibited immense potential in the field of scientific visualization for both data generation and visualization tasks. However, these representations often consist of large multi-layer…

Graphics · Computer Science 2023-04-11 Qi Wu , David Bauer , Yuyang Chen , Kwan-Liu Ma

Implicit neural representations (INRs) are a powerful paradigm for modeling data, offering a continuous alternative to discrete signal representations. Their ability to compactly encode complex signals has led to strong performance in many…

Computer Vision and Pattern Recognition · Computer Science 2025-12-15 Pandula Thennakoon , Avishka Ranasinghe , Mario De Silva , Buwaneka Epakanda , Roshan Godaliyadda , Parakrama Ekanayake , Vijitha Herath

Implicit neural representations (INRs) use neural networks to provide continuous and resolution-independent representations of complex signals with a small number of parameters. However, existing INR models often fail to capture important…

Computer Vision and Pattern Recognition · Computer Science 2025-01-15 Ali Mehrabian , Parsa Mojarad Adi , Moein Heidari , Ilker Hacihaliloglu

Implicit Neural Representations (INRs) are nowadays used to represent multimedia signals across various real-life applications, including image super-resolution, image compression, or 3D rendering. Existing methods that leverage INRs are…

Machine Learning · Computer Science 2023-06-21 Filip Szatkowski , Karol J. Piczak , Przemysław Spurek , Jacek Tabor , Tomasz Trzciński

Implicit Neural Representation (INR) has recently attracted considerable attention for storing various types of signals in continuous forms. The existing INR networks require lengthy training processes and high-performance computational…

Data assimilation is crucial in a wide range of applications, but it often faces challenges such as high computational costs due to data dimensionality and incomplete understanding of underlying mechanisms. To address these challenges, this…

Machine Learning · Computer Science 2024-03-26 Zhuoyuan Li , Bin Dong , Pingwen Zhang
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