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Wideband analog signals push contemporary analog-to-digital conversion systems to their performance limits. In many applications, however, sampling at the Nyquist rate is inefficient because the signals of interest contain only a small…

Information Theory · Computer Science 2016-11-15 Joel A. Tropp , Jason N. Laska , Marco F. Duarte , Justin K. Romberg , Richard G. Baraniuk

One-shot image classification aims to train image classifiers over the dataset with only one image per category. It is challenging for modern deep neural networks that typically require hundreds or thousands of images per class. In this…

Computer Vision and Pattern Recognition · Computer Science 2020-05-05 Wanqi Xue , Wei Wang

Saliency map estimation in computer vision aims to estimate the locations where people gaze in images. Since people tend to look at objects in images, the parameters of the model pretrained on ImageNet for image classification are useful…

Computer Vision and Pattern Recognition · Computer Science 2018-07-30 Taiki Oyama , Takao Yamanaka

Uncertainty quantification in image retrieval is crucial for downstream decisions, yet it remains a challenging and largely unexplored problem. Current methods for estimating uncertainties are poorly calibrated, computationally expensive,…

Computer Vision and Pattern Recognition · Computer Science 2021-09-20 Frederik Warburg , Martin Jørgensen , Javier Civera , Søren Hauberg

In this paper, a method for Automatic Image Registration (AIR) through histogram is proposed. Automatic image registration is one of the crucial steps in the analysis of remotely sensed data. A new acquired image must be transformed, using…

Computer Vision and Pattern Recognition · Computer Science 2014-02-25 V. Karthikeyan

We consider imaging of two partially coherent sources and derive the ultimate quantum limits for estimating the separation, location, relative intensity, and coherence factor. We show that super-resolution in the separation is achievable…

Quantum Physics · Physics 2026-05-20 Joaquín López-Suárez , Michalis Skotiniotis

One of the major problems in modeling natural signals is that signals with very similar structure may locally have completely different measurements, e.g., images taken under different illumination conditions, or the speech signal captured…

Computer Vision and Pattern Recognition · Computer Science 2012-07-19 Nebojsa Jojic , Yaron Caspi , Manuel Reyes-Gomez

In many applications, from sensor to social networks, gene regulatory networks or big data, observations can be represented as a signal defined over the vertices of a graph. Building on the recently introduced Graph Fourier Transform, the…

Information Theory · Computer Science 2015-12-03 Mikhail Tsitsvero , Sergio Barbarossa , Paolo Di Lorenzo

Data compression capability of "Compressed sensing (sampling)" in signal discretization is numerically evaluated and found to be far from the theoretical upper bound defined by signal sparsity. It is shown that, for the cases when ordinary…

Optics · Physics 2015-02-10 L. Yaroslavsky

Building on recent advances in image generation, we present a fully data-driven approach to rendering markup into images. The approach is based on diffusion models, which parameterize the distribution of data using a sequence of denoising…

Machine Learning · Computer Science 2022-10-12 Yuntian Deng , Noriyuki Kojima , Alexander M. Rush

We study the reconstruction of bandlimited fields from samples taken at unknown but statistically distributed sampling locations. The setup is motivated by distributed sampling where precise knowledge of sensor locations can be difficult.…

Information Theory · Computer Science 2017-07-12 Animesh Kumar

Sparsity promoting regularization is an important technique for signal reconstruction and several other ill-posed problems. Theoretical investigation typically bases on the assumption that the unknown solution has a sparse representation…

Numerical Analysis · Mathematics 2013-11-11 Jens Flemming , Markus Hegland

Neuromorphic sampling is a paradigm shift in analog-to-digital conversion where the acquisition strategy is opportunistic and measurements are recorded only when there is a significant change in the signal. Neuromorphic sampling has given…

Signal Processing · Electrical Eng. & Systems 2023-06-09 Abijith Jagannath Kamath , Chandra Sekhar Seelamantula

Event cameras are novel vision sensors that sample, in an asynchronous fashion, brightness increments with low latency and high temporal resolution. The resulting streams of events are of high value by themselves, especially for high speed…

Computer Vision and Pattern Recognition · Computer Science 2021-04-13 F. Paredes-Vallés , G. C. H. E. de Croon

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

In this paper, we analyze the error estimate of a wavelet frame based image restoration method from degraded and incomplete measurements. We present the error between the underlying original discrete image and the approximate solution which…

Analysis of PDEs · Mathematics 2022-08-23 Jian-Feng Cai , Jae Kyu Choi , Jianbin Yang

We develop a lensless compressive imaging architecture, which consists of an aperture assembly and a single sensor, without using any lens. An anytime algorithm is proposed to reconstruct images from the compressive measurements; the…

Computer Vision and Pattern Recognition · Computer Science 2015-08-17 Xin Yuan , Hong Jiang , Gang Huang , Paul Wilford

In applications ranging from communications to genetics, signals can be modeled as lying in a union of subspaces. Under this model, signal coefficients that lie in certain subspaces are active or inactive together. The potential subspaces…

Machine Learning · Statistics 2012-09-17 Nikhil Rao , Benjamin Recht , Robert Nowak

Convergence rates in spectral regularization methods quantify the approximation error in inverse problems as a function of the noise level or the number of sampling points. Classical strong convergence rate results typically rely on source…

Numerical Analysis · Mathematics 2025-12-05 Sabrina Guastavino , Gabriele Santin , Francesco Marchetti , Federico Benvenuto

Correlative imaging workflows are now widely used in bioimaging and aims to image the same sample using at least two different and complementary imaging modalities. Part of the workflow relies on finding the transformation linking a source…

Quantitative Methods · Quantitative Biology 2021-08-30 Guillaume Potier , Frédéric Lavancier , Stephan Kunne , Perrine Paul-Gilloteaux