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In this paper, we study the efficacy and utility of recent advances in non-local, non-linear image interpolation and extrapolation algorithms, specifically, ideas based on Implicit Neural Representations (INR), as a tool for analysis of…

Genomics · Quantitative Biology 2025-06-16 Xizheng Yu , Justin Torok , Sneha Pandya , Sourav Pal , Vikas Singh , Ashish Raj

The efficiency of recurrent neural networks (RNNs) in dealing with sequential data has long been established. However, unlike deep, and convolution networks where we can attribute the recognition of a certain feature to every layer, it is…

Machine Learning · Computer Science 2020-01-15 Stefan Horoi , Guillaume Lajoie , Guy Wolf

Neural networks have become ubiquitous tools for solving signal and image processing problems, and they often outperform standard approaches. Nevertheless, training neural networks is a challenging task in many applications. The prevalent…

Optimization and Control · Mathematics 2022-10-28 Patrick L. Combettes , Jean-Christophe Pesquet , Audrey Repetti

Photo-realistic free-viewpoint rendering of real-world scenes using classical computer graphics techniques is challenging, because it requires the difficult step of capturing detailed appearance and geometry models. Recent studies have…

Computer Vision and Pattern Recognition · Computer Science 2021-01-08 Lingjie Liu , Jiatao Gu , Kyaw Zaw Lin , Tat-Seng Chua , Christian Theobalt

Injectivity is the defining property of a mapping that ensures no information is lost and any input can be perfectly reconstructed from its output. By performing hard thresholding, the ReLU function naturally interferes with this property,…

Machine Learning · Computer Science 2024-12-02 Daniel Haider , Martin Ehler , Peter Balazs

The deployment of Vision Transformers (ViTs) on hardware platforms, specially Field-Programmable Gate Arrays (FPGAs), presents many challenges, which are mainly due to the substantial computational and power requirements of their non-linear…

Computer Vision and Pattern Recognition · Computer Science 2024-08-19 Mohammad Erfan Sadeghi , Arash Fayyazi , Seyedarmin Azizi , Massoud Pedram

Implicit Neural Representations (INRs) have gained success in various signal processing tasks due to their advantages of continuity and infinite resolution. However, the factors influencing their effectiveness and limitations remain…

Machine Learning · Computer Science 2025-10-14 Linfei Li , Fengyi Zhang , Zhong Wang , Lin Zhang , Ying Shen

We address the problem of approximating parametric Fourier imaging problems via interpolation/ extrapolation algorithms that impose smoothing constraints across contiguous values of the parameter. Previous works already proved that…

Numerical Analysis · Mathematics 2025-05-21 Anna Volpara , Alessandro Lupoli , Emma Perracchione

Monocular visual-inertial odometry (VIO) is a critical problem in robotics and autonomous driving. Traditional methods solve this problem based on filtering or optimization. While being fully interpretable, they rely on manual interference…

Robotics · Computer Science 2022-09-20 Zexi Chen , Haozhe Du , Xuecheng Xu , Rong Xiong , Yiyi Liao , Yue Wang

In this paper, we introduce a new image representation based on a multilayer kernel machine. Unlike traditional kernel methods where data representation is decoupled from the prediction task, we learn how to shape the kernel with…

Machine Learning · Statistics 2016-10-26 Julien Mairal

Mathematically representing the shape of an object is a key ingredient for solving inverse rendering problems. Explicit representations like meshes are efficient to render in a differentiable fashion but have difficulties handling topology…

Graphics · Computer Science 2022-07-12 Guangyan Cai , Kai Yan , Zhao Dong , Ioannis Gkioulekas , Shuang Zhao

Vessel segmentation of retinal images is a key diagnostic capability in ophthalmology. This problem faces several challenges including low contrast, variable vessel size and thickness, and presence of interfering pathology such as…

Image and Video Processing · Electrical Eng. & Systems 2020-02-19 Venkateswararao Cherukuri , Vijay Kumar BG , Raja Bala , Vishal Monga

VAEs, or variational autoencoders, are autoencoders that explicitly learn the distribution of the input image space rather than assuming no prior information about the distribution. This allows it to classify similar samples close to each…

Machine Learning · Computer Science 2023-02-08 Fareed Sheriff , Sameer Pai

Inspired by the recent advances in implicitly representing signals with trained neural networks, we aim to learn a continuous representation for narrow-baseline 4D light fields. We propose an implicit representation model for 4D light…

Computer Vision and Pattern Recognition · Computer Science 2021-12-02 Paramanand Chandramouli , Hendrik Sommerhoff , Andreas Kolb

Vision Transformers (ViTs) achieve state-of-the-art performance on challenging vision tasks, but their deployment on edge devices is severely hindered by the computational complexity and global reduction bottleneck imposed by layer…

Computer Vision and Pattern Recognition · Computer Science 2026-05-15 Kieran Carrigg , Sigur de Vries , Amirhossein Sadough , Marcel van Gerven

Implicit neural representations (INRs) have achieved remarkable successes in learning expressive yet compact signal representations. However, they are not naturally amenable to predictive tasks such as segmentation, where they must learn…

Computer Vision and Pattern Recognition · Computer Science 2025-10-07 Kushal Vyas , Ashok Veeraraghavan , Guha Balakrishnan

Physics-Informed Neural Networks (PINNs) are machine learning tools that approximate the solution of general partial differential equations (PDEs) by adding them in some form as terms of the loss/cost function of a Neural Network. Most…

Numerical Analysis · Mathematics 2022-08-29 Antonio Tadeu Azevedo Gomes , Larissa Miguez da Silva , Frederic Valentin

We propose a novel explicit dense 3D reconstruction approach that processes a set of images of a scene with sensor poses and calibrations and estimates a photo-real digital model. One of the key innovations is that the underlying volumetric…

Computer Vision and Pattern Recognition · Computer Science 2022-03-02 Samir Aroudj , Steven Lovegrove , Eddy Ilg , Tanner Schmidt , Michael Goesele , Richard Newcombe

This paper introduces a novel computational approach termed the Reduced Augmentation Implicit Low-rank (RAIL) method by investigating two predominant research directions in low-rank solutions to time-dependent partial differential equations…

Numerical Analysis · Mathematics 2024-09-12 Joseph Nakao , Jing-Mei Qiu , Lukas Einkemmer

Deep kernel learning (DKL) leverages the connection between Gaussian process (GP) and neural networks (NN) to build an end-to-end, hybrid model. It combines the capability of NN to learn rich representations under massive data and the…

Machine Learning · Statistics 2020-08-20 Haitao Liu , Yew-Soon Ong , Xiaomo Jiang , Xiaofang Wang