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Sampling a signal below the Shannon-Nyquist rate causes aliasing, meaning different frequencies to become indistinguishable. It is also well-known that recovering spectral information from a signal using a parametric method can be ill-posed…

Numerical Analysis · Mathematics 2018-10-09 Annie Cuyt , Wen-shin Lee

Score-based generative models provide state-of-the-art quality for image and audio synthesis. Sampling from these models is performed iteratively, typically employing a discretized series of noise levels and a predefined scheme. In this…

Machine Learning · Computer Science 2021-04-09 Joan Serrà , Santiago Pascual , Jordi Pons

Recent advances in image generation, particularly via diffusion models, have led to impressive improvements in image synthesis quality. Despite this, diffusion models are still challenged by model-induced artifacts and limited stability in…

Computer Vision and Pattern Recognition · Computer Science 2024-11-15 Md Fahim Anjum

A central challenge in data visualization is to understand which data samples are required to generate an image of a data set in which the relevant information is encoded. In this work, we make a first step towards answering the question of…

Graphics · Computer Science 2021-03-12 Sebastian Weiss , Mustafa Işık , Justus Thies , Rüdiger Westermann

Random features are a powerful technique for rewriting positive-definite kernels as linear products. They bring linear tools to bear in important nonlinear domains like KNNs and attention. Unfortunately, practical implementations require…

Machine Learning · Computer Science 2024-10-25 Luke Sernau , Silvano Bonacina , Rif A. Saurous

We consider the problem of parameter estimation in a high-dimensional generalized linear model. Spectral methods obtained via the principal eigenvector of a suitable data-dependent matrix provide a simple yet surprisingly effective…

Statistics Theory · Mathematics 2025-07-11 Yihan Zhang , Hong Chang Ji , Ramji Venkataramanan , Marco Mondelli

Multiple matrix sampling is a survey methodology technique that randomly chooses a relatively small subset of items to be presented to survey respondents for the purpose of reducing respondent burden. The data produced are missing…

Methodology · Statistics 2017-10-03 Stanislav Kolenikov , Heather Hammer

Magnetic Resonance Imaging (MRI) is a powerful, non-invasive diagnostic tool; however, its clinical applicability is constrained by prolonged acquisition times. Whilst present deep learning-based approaches have demonstrated potential in…

Image and Video Processing · Electrical Eng. & Systems 2024-09-24 Anurag Malyala , Zhenlin Zhang , Chengyan Wang , Chen Qin

Image interpolation is a special case of image super-resolution, where the low-resolution image is directly down-sampled from its high-resolution counterpart without blurring and noise. Therefore, assumptions adopted in super-resolution…

Image and Video Processing · Electrical Eng. & Systems 2020-10-28 Junchao Zhang

Purpose: Compressed sensing MRI (CS-MRI) from single and parallel coils is one of the powerful ways to reduce the scan time of MR imaging with performance guarantee. However, the computational costs are usually expensive. This paper aims to…

Computer Vision and Pattern Recognition · Computer Science 2017-03-06 Dongwook Lee , Jaejun Yoo , Jong Chul Ye

In recent years, Generative Adversarial Networks have become ubiquitous in both research and public perception, but how GANs convert an unstructured latent code to a high quality output is still an open question. In this work, we…

Computer Vision and Pattern Recognition · Computer Science 2021-06-07 Lucy Chai , Jonas Wulff , Phillip Isola

We propose and demonstrate the use of a model-assisted generative adversarial network (GAN) to produce fake images that accurately match true images through the variation of the parameters of the model that describes the features of the…

Computer Vision and Pattern Recognition · Computer Science 2020-03-13 Saúl Alonso-Monsalve , Leigh H. Whitehead

In this paper, we introduce a total variation based variational model for denoising wrapped phase images. Our model improves on former methods by preserving discontinuities of the phase map and enforcing the fundamental Pythagorean…

Numerical Analysis · Mathematics 2023-04-07 Ivan May-Cen , Ricardo Legarda-Saenz , Carlos Brito-Loeza

Image learning and colorization are hot spots in multimedia domain. Inspired by the learning capability of humans, in this paper, we propose an automatic colorization method with a learning framework. This method can be viewed as a hybrid…

Computer Vision and Pattern Recognition · Computer Science 2022-09-14 Zhenfeng Xue , Jiandang Yang , Jie Ren , Yong Liu

We propose a novel shape representation useful for analyzing and processing shape collections, as well for a variety of learning and inference tasks. Unlike most approaches that capture variability in a collection by using a template model…

Graphics · Computer Science 2018-06-13 Ruqi Huang , Panos Achlioptas , Leonidas Guibas , Maks Ovsjanikov

Synthesizing realistic and diverse anomalous samples from limited data is vital for robust model generalization. However, existing methods struggle to reconcile fidelity and diversity, often hampered by distribution misalignment and…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Fuyun Wang , Yuanzhi Wang , Xu Guo , Sujia Huang , Tong Zhang , Dan Wang , Hui Yan , Xin Liu , Zhen Cui

We observe that despite their hierarchical convolutional nature, the synthesis process of typical generative adversarial networks depends on absolute pixel coordinates in an unhealthy manner. This manifests itself as, e.g., detail appearing…

Computer Vision and Pattern Recognition · Computer Science 2021-10-19 Tero Karras , Miika Aittala , Samuli Laine , Erik Härkönen , Janne Hellsten , Jaakko Lehtinen , Timo Aila

Line spectral estimation theory aims to estimate the off-the-grid spectral components of a time signal with optimal precision. Recent results have shown that it is possible to recover signals having sparse line spectra from few temporal…

Information Theory · Computer Science 2017-01-31 Maxime Ferreira Da Costa , Wei Dai

We provide a complete pipeline for the detection of patterns of interest in an image. In our approach, the patterns are assumed to be adequately modeled by a known template, and are located at unknown positions and orientations that we aim…

Image and Video Processing · Electrical Eng. & Systems 2021-04-15 Julien Fageot , Virginie Uhlmann , Zsuzsanna Püspöki , Benjamin Beck , Michael Unser , Adrien Depeursinge

Existing color sampling based alpha matting methods use the compositing equation to estimate alpha at a pixel from pairs of foreground (F) and background (B) samples. The quality of the matte depends on the selected (F,B) pairs. In this…

Computer Vision and Pattern Recognition · Computer Science 2016-04-26 Jubin Johnson , Ehsan Shahrian Varnousfaderani , Hisham Cholakkal , Deepu Rajan