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Self-supervised representation learning is heavily dependent on data augmentations to specify the invariances encoded in representations. Previous work has shown that applying diverse data augmentations is crucial to downstream performance,…

Computer Vision and Pattern Recognition · Computer Science 2023-11-08 Philip Andrew Mansfield , Arash Afkanpour , Warren Richard Morningstar , Karan Singhal

The Shannon sampling theorem for bandlimited wide sense stationary random processes was established in 1957, which and its extensions to various random processes have been widely studied since then. However, truncation of the Shannon series…

Functional Analysis · Mathematics 2014-01-21 Wenjian Chen , Haizhang Zhang

Guided upsampling is an effective approach for accelerating high-resolution image processing. In this paper, we propose a simple yet effective guided upsampling method. Each pixel in the high-resolution image is represented as a linear…

Computer Vision and Pattern Recognition · Computer Science 2023-07-20 Shuangbing Song , Fan Zhong , Tianju Wang , Xueying Qin , Changhe Tu

Digital pulse width modulation has been considered for high-fidelity and high-efficiency audio amplifiers for several years. It has been shown that the distortion can be reduced and the implementation of the system can be simplified if the…

Sound · Computer Science 2010-03-15 Kien C. Nguyen , Dilip V. Sarwate

Reconstructing a band-limited function from its finite sample data is a fundamental task in signal analysis. A Gaussian regularized Shannon sampling series has been proved to be able to achieve exponential convergence for uniform sampling.…

Signal Processing · Electrical Eng. & Systems 2022-10-10 Yunfei Yang , Haizhang Zhang

In Fourier-based medical imaging, sampling below the Nyquist rate results in an underdetermined system, in which linear reconstructions will exhibit artifacts. Another consequence of under-sampling is lower signal to noise ratio (SNR) due…

Computer Vision and Pattern Recognition · Computer Science 2016-10-04 Patrick Virtue , Michael Lustig

Image zooming or upsampling is a widely used tool in image processing and an essential step in many algorithms. Upsampling increases the number of pixels and introduces new information into the image, which can lead to numerical effects…

Numerical Analysis · Mathematics 2023-12-04 Bojan Crnković , Jerko Škifić , Tina Bosner

Deploying machine learning systems in the real world requires both high accuracy on clean data and robustness to naturally occurring corruptions. While architectural advances have led to improved accuracy, building robust models remains…

Machine Learning · Computer Science 2019-06-07 Raphael Gontijo Lopes , Dong Yin , Ben Poole , Justin Gilmer , Ekin D. Cubuk

One of the key approximations to range simulation is downscaling the image, dictated by the natural trigonometric relationships that arise due to long-distance viewing. It is well-known that standard downsampling applied to an image without…

Signal Processing · Electrical Eng. & Systems 2025-05-12 Suayb S. Arslan , Lukas Vogelsang , Michal Fux , Pawan Sinha

Camera calibration is a first and fundamental step in various computer vision applications. Despite being an active field of research, Zhang's method remains widely used for camera calibration due to its implementation in popular toolboxes.…

Computer Vision and Pattern Recognition · Computer Science 2023-09-21 Ivan De Boi , Stuti Pathak , Marina Oliveira , Rudi Penne

Time domain terahertz spectroscopy typically uses mechanical delay stages that inherently suffer from non-uniform sampling positions. We review, simulate, and experimentally test the ability of corrective cubic spline and Shannon…

Optics · Physics 2019-03-20 A. M. Potts , T. T. Mai , M. T. Warren , R. Valdés Aguilar

A modular method was suggested before to recover a band limited signal from the sample and hold and linearly interpolated (or, in general, an nth-order-hold) version of the regular samples. In this paper a novel approach for compensating…

Computer Vision and Pattern Recognition · Computer Science 2012-05-15 Mohammad Tofighi , Ali Ayremlou , Farokh Marvasti

In depth from defocus (DFD), when images are captured with different camera parameters, a relative magnification is induced between them. Image warping is a simpler solution to account for magnification than seemingly more accurate optical…

Computer Vision and Pattern Recognition · Computer Science 2012-11-06 Arnav Bhavsar

Imbalanced data is a frequently encountered problem in machine learning. Despite a vast amount of literature on sampling techniques for imbalanced data, there is a limited number of studies that address the issue of the optimal sampling…

Machine Learning · Computer Science 2022-07-12 Firuz Kamalov , Amir F. Atiya , Dina Elreedy

This paper considers the problem of single image depth estimation. The employment of convolutional neural networks (CNNs) has recently brought about significant advancements in the research of this problem. However, most existing methods…

Computer Vision and Pattern Recognition · Computer Science 2018-09-25 Junjie Hu , Mete Ozay , Yan Zhang , Takayuki Okatani

This paper aims at analyzing the regularization effect that data augmentation induces on supervised regression methods in the proportional regime, where the number of covariates grows proportionally to the number of samples. We provide a…

Machine Learning · Statistics 2026-05-12 Lucas Morisset , Alain Durmus , Adrien Hardy

A modular method was suggested before to recover a band limited signal from the sample and hold and linearly interpolated (or, in general, an nth-order-hold) version of the regular samples. In this paper a novel approach for compensating…

Multimedia · Computer Science 2010-11-12 Ali Ayremlou , Mohammad Tofighi , Farokh Marvasti

All discretized numerical models contain modelling errors - this reality is amplified when reduced-order models are used. The ability to accurately approximate modelling errors informs statistics on model confidence and improves…

Computational Physics · Physics 2021-03-17 Danny Smyl , Tyler N. Tallman , Jonathan A. Black , Andreas Hauptmann , Dong Liu

Exposure errors in an image cause a degradation in the contrast and low visibility in the content. In this paper, we address this problem and propose an end-to-end exposure correction model in order to handle both under- and overexposure…

Computer Vision and Pattern Recognition · Computer Science 2022-04-25 Fevziye Irem Eyiokur , Dogucan Yaman , Hazım Kemal Ekenel , Alexander Waibel

Lossy image coding is the art of computing that is principally bounded by the image's rate-distortion function. This bound, though never accurately characterized, has been approached practically via deep learning technologies in recent…

Information Theory · Computer Science 2025-01-22 Haotian Zhang , Dong Liu